X sint y sin pt. Points:-15☺ Nov 9, 2018 · If x = sin t and, y = sin pt, then prove that (1 - x^2)d^2y/dx^2 - xdy/dx + p^2y = 0. If x = a sin 2t (1 + cos 2t) and y = b cos 2t (1 – cos 2t) then find `dy/dx ` If x = cos t (3 – 2 cos 2 t) and y = sin t (3 – 2 sin 2 t), find the value of dx/dy at t =4/π. x = sin t, y = cos 2t Mar 23, 2017 · Click here 👆 to get an answer to your question ️ If x=sin t y=sin pt show that (1-x^2)d^2y/dx^2 - xdy/dx+p^2y=0 Answer it with explanation . ) Differentiating with respect to x on both sides. Speed = (include units) Find the first positive time when the particle comes to a stop. Now, d y d x = d y d t × d t d x ⇒ d y d x = p cos p t cos t ⇒ d y d x cos t = p cos p t. + Động học: ngành vật lý nghiên cứu các tính chất, quy luật chuyển động mà không tính tới nguyên nhân của chuyển động đó. Jun 22, 2018 · This is the Solution of Question From RD SHARMA book of CLASS 12 CHAPTER DIFFERENTIATION This Question is also available in R S AGGARWAL book of CLASS 12 You Jun 19, 2019 · If x=sin t,y=sinpt. 0 answers. i) The student nas opted neither NCC nor NSS; ii) The student has opted NSS but not NCC. asked Dec 2, 2021 in Mathematics by Aditya_Prakash (25 points) 0 votes. If x = sin t and y = sin pt, prove that (1 − x 2) d 2 y d x 2 − x d y d x + p 2 y = 0 . 5. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo. d x d t = cos t a n d d y d t = p cos p t. t and dy dt = p cos pt d y d t = p cos p t. x = a sin pt and y = b cos pt. Cite. `x = (sin^3t)/sqrt(cos 2t), y = (cos^3t)/sqrt(cos 2t)` If x and y are connected parametrically by the equation, without eliminating the parameter, find `dy/dx. Dr Rakesh Kumar Tripathi. If x = sin t and y = sin m t then prove that √ 1 − x 2 d 2 y d x 2 − x d y d x + m 2 y = 0. Find the speed of the particle. asked May 12, 2023 in Differential Given x = sin t and y = sin ptOn differentiating both sides w. If x = sin t and y = sin p t, prove that: (1 − x 2) y 2 − x y 1 + p 2 y = 0 Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is `cos^(-1)(1/sqrt3)` If the sum of the lengths of the hypotenuse and a side of a right triangle is given, show that the area of the triangle is maximum, when the angle between them is 60º. by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. The normal to the curve x = a t 2 , y = 2 a t at the point P ( t ) meets the curve again at Q ( t ′ ) . Sep 24, 2022 · i) The student opted for NCC or NSS. He has been teaching from the past 14 years. If x = sin t and y = sin pt, then the value of (1-x2) (d2y/dx2) -x (dy/dx)+p2y is equal to: (A) 0 (B) 1 (C) -1 (D) √2. If x = sin t, y = sin pt, prove that 1 - x 2 d 2 y d x 2 - x d y d x + p 2 y = 0. Determining for which values of t is the curve concave upward for x=2\sin t and y=3\cos t,\, 0<t<2\pi Mar 18, 2018 · Use #(dy)/dx = ((dy)/dt). \\( \\left( 1 - x ^ { 2 } \\right) \\frac Jul 21, 2023 · If x = sint and y= sin (pt), then show that (1-x^(2) ) (d^2y)/( dx^2) - x (dy)/( dx) + p^(2) y =0. Set up the parametric equation for to solve the equation for . Similar Questions. r. 7k points) continuity and differntiability Solving a Quadratic Equation by Completion of Squares Method. Solution. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket If x = sin t, y = sin pt, prove that \[\left( 1 - x^2 \right)\frac{d^2 y}{d x^2} - x\frac{dy}{dx} + p^2 y = 0\] ? VIEW SOLUTION. Best answer. d²y/dx² + (-2x)(xy/dx)²-P²ydy/dx ={( 1 - x²)d²ydx -xdy/dx }dy/dx -P²y = ( 1 - x²)d²y/dx² - xdy/dx ( 1 -x²)d²y/dx² -xdy/dx +P²y Apr 16, 2024 · Davneet Singh has done his B. For math, science, nutrition, history 1) Cơ học, động học + Cơ học: ngành vật lý nghiên cứu về chuyển động của các vật thể. 0. Exercise 12. Oct 5, 2014 · Since we know that -1 le sint le 1, the curve is limited to -1 le x le 1. ` `x = a(cos t + log tan t/2), y = a sin t` If `x = sqrt(a^(sin^(-1)))`, y = `sqrt(a^(cos^(-1)))` show that `dy/dx = - y/x` If `x = acos^3t`, `y = asin^3 t`, Show that `(dy)/(dx) =- (y/x Click here👆to get an answer to your question ️ If x = sin t and y = sin pt , then (1 - x^2) d^2xdx^2 - x dydx is equal to Question: (1 pt) A particle moves with its position given by x = cos(t) and y = sin (t/2 ), where positions are given in feet from the origin and time t is in seconds. ((dt)/dx)#. View full answer Post Answer. Tech from Indian Institute of Technology, Kanpur. ` x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ) If `x = sqrt(a^(sin^(-1)))`, y Jun 27, 2015 · Stack Exchange Network. Step 1: Find First derivative. NCERT Solutions For Class 12 . Question. Chain Rule of differentiation. state true or false. Posted by infoexpert22. Differentiating both sides with respect to x, we get. Find the equation of the circle which passes through the points (2, − 2) and (3, 4) and whose centre ies on the line x + y = 2. Step 3. Step by step video & image solution for If x = sint and y= sin (pt), then show that (1-x^(2) ) (d^2y)/( dx^2) - x (dy)/( dx) + p^(2) y =0. Rewrite the equation as . NCERT Solutions. t we getNow on differentiating both sides w. 1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Nov 8, 2018 · If x = sin t and, y = sin pt, then prove that (1 - x^2)d^2y/dx^2 - xdy/dx + p^2y = 0. 1. 164. Differentiating both sides with respect to t, we get. 1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Doubtnut is No. 5K views 4 years ago Nov 9, 2018 · 3 Answers. votes. 7k points) continuity and differntiability If x = sint and y = sin pt, prove that . Here #(dy)/dt = 2cos2t# and #(dx)/dt = cost#. Therefore, since the second equation is always true given the circumstances, you can simply plug in the values of x and y into the first equation and that will give you your desired curve, which in this case is z = x$^2$ - y$^2$, or z = cos x = sint y = sin pt Solution: Now, Now, Hence proved. #rArr (dy)/dx = (2cos2t)/cost# NOTE: #rarr(dt Given , x = sin t , y = cos pt (dx)/(dt) = cot t, (dy)/(dt) = - p sin pt therefore (dy)/(dx) = - (p sin pt)/(cos t ) rArr y(1) = (-psqrt(1-y^(2)))/(sqrt(1 - x)^(2 Nov 21, 2019 · Replace the values of $\sin t,\sin pt,\cos^2t=1-\sin^2t$ Share. If x= sin t and y= sin p t, then (1-x2) (d2 y/d x2)-x (d y/d x) is equal to (A) -y (B) y (C) p y (D) -p2 y. Q3. 1 | Q 20 | Page 17. Hence, the curve is the portion of the parabola y=x^2 between x=-1 and x=1, which looks like this: I hope that this was helpful. Study Materials. By plugging x=sint into y=sin^2t, we have y=(sint)^2=x^2. Answers (1) We have, Hence proved. If x=sint, y=sinpt then prove that (1-x^2)d2y/dx2-xdy/dx+p^2y=0. Given: x = sin t and y = sin pt. Jan 6, 2014 · If x = sint and y = sinpt prove that : (1 - xsquare)d2y/dx2 - xdy/dx + psquarey = 0 - Maths - Continuity and Differentiability A s x = sin t, y = sin p t T h e s If y = sin (sin x), prove that `(d^2y)/(dx^2) + tan x dy/dx + y cos^2 x = 0` If [x] stands for the integral part of x, then ____________. View Solution If x= a sin pt, y=b cost p, then show that a2 x2 y d2 y/d x2+b2=0. By squaring both sides we get. Click here:point_up_2:to get an answer to your question :writing_hand:if xsin theta ycos p theta prove that 1x2y2xy1p2y0 where y2dfracd2ydx2 and y1dfracdydx If x and y are connected parametrically by the equation, without eliminating the parameter, find `dy/dx. View Solution If x = 3 cos t and y = 5 sin t , where t is a parameter, then 9 d 2 y d x 2 at t = − π 6 is equal to If y = a sin (wt-kx) , where a is amplitude , y is the displacement, w is angular velocity , t is the time and x is the distance, then k has the dimensions of '"per uit length". Follow answered Nov 21, 2019 at 19:03. x we get Jan 11, 2017 · If x=sin t and y=sin pt, prove that (1-x2 )y2 - xy1 + p2y=0 - Maths - Continuity and Differentiability `x = a(cos t + log tan t/2), y = a sin t` If x and y are connected parametrically by the equation, without eliminating the parameter, find `dy/dx. x = sin t, y = cos 2t Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Click here:point_up_2:to get an answer to your question :writing_hand:if xa sin tb cost ya cos tb sin t prove that dfracd2ydx2dfracx2y2y3. Solve. Check Answer and Solution for Tardigrade Click here:point_up_2:to get an answer to your question :writing_hand:if x sin t y cos pt then If x = α sin 2 t (1 + cos 2 t) and y = β cos 2 t (1 − cos 2 t), show that `dy/dx=β/αtan t`. If x = sin t and y = sin p t, then the value of (1-x 2) d 2 y d x Click here:point_up_2:to get an answer to your question :writing_hand:if x a sin p t and y b cos If you set x = cos(t) and y = sin(t), then the equality x$^2$ + y$^2$ = 1 is always fulfilled, due to the Pythagorean identity sin$^2$(x) + cos$^2$(x) = 1. Join / Login. 1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc If x and y are connected parametrically by the equation, without eliminating the parameter, find. If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of `dy/dx `at t = `pi/4` If x = sin t and y = sin p t, then (1 − x 2) d 2 x d x 2 − x d y d x is equal to Q. \\) Prove that. Guides. ⇒ d y d x = d y d t d x d t = p cos p t cos t. 276k 20 20 gold BITSAT 2006: If x = sin t, y = cos pt, then: (A) ( 1 - x2) y2 + xy1 + p2 y = 0 (B) ( 1 - x2) y2 + xy1 - p2 y = 0 (C) ( 1 + x2) y2 - xy1 + p2 y = 0 (D) Doubtnut is No. View Solution If x = 3 cos t and y = 5 sin t , where t is a parameter, then 9 d 2 y d x 2 at t = − π 6 is equal to KCET 2005: If x = sin t, y = cos pt, then (A) (1-x2)y2 + xy1 + p2y = 0 (B) (1-x2)y2 + xy1 - p2y = 0 (C) (1+x2)y2 - xy1 + p2y = 0 (D) (1-x2)y2 - xy1 + If x = sin t and y = sin m t then prove that √ 1 − x 2 d 2 y d x 2 − x d y d x + m 2 y = 0. If x and y are connected parametrically by the equation, without eliminating the parameter, find `dy/dx` `x = 2at^2, y = at^4` If x and y are connected parametrically Eliminate the Parameter x=sin(t) , y=cos(t), Step 1. If x =sint and y = sinpt, prove that: (1−x2)y2 −xy1 +p2y =0. Doubtnut is No. Check Answer and Solution for above questi Click here👆to get an answer to your question ️ \"If \\( x = \\sin t , y = \\operatorname { sinpt } . Step 2. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. asked Nov 9, 2018 in Mathematics by Samantha ( 40. \\text { If } x = a \\sin p t \\text { and } y = & b \\cos p t \\text { then show that Click here👆to get an answer to your question ️ find dfracdydx if xsin t ycos 2t 2 Click here:point_up_2:to get an answer to your question :writing_hand:if xsin1t and ylog1t2 then displaystyle left fracd2ydx2righttfrac12 Eliminate the Parameter x=cos(t) y=sin(t) Step 1. The correct option is A. Login. t. dx dt = cos t d x d t = cos. Dx+Dy+3y=sint, Dx+y-x=cost. lab bhattacharjee lab bhattacharjee. . Jun 11, 2021 · If x = a sin pt, y = b cos pt. 51K subscribers. Subscribed. 0k points) selected May 12, 2023 by faiz. x = sin t ⇒ d x d t = cos t y = sin p t ⇒ d x d t = p cos p t. If x=sin t,y=cos pt then, Login. View Solution. If x = sint and y = sinpt prove that : (1 - xsquare)d2y/dx2 - xdy/dx If x and y are connected parametrically by the equation, without eliminating the parameter, find. Differentiating the above equation again with respect to x We know that, Jul 21, 2023 · Doubtnut is No. NCERT Solutions For Class 12. Mar 19, 2017 · To prove that LHS= (1-x²) d²y/dx² + x dy/dx + m² y = 0 RHS x = sin t, dx/dt = cos t = √(1-x²) y = sin pt, dy/dt = p cos pt = p √(1-y²) => dy If x = sin t, y = sin pt, prove that 1-x 2 d 2 y d x 2-x d y d x + p 2 y = 0. Second Part: The above is the equation of a circle with centre (a, b) and radius c. The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x - `1/2 x^2` where x is the number of days exposed to sunlight. answered May 3, 2023 by MonaliAgarwal (17. 1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Jan 4, 2023 · CBSE Exam, class 12. Explanation for the correct option. Mar 25, 2017 · X = sint and y = sinpt t = sin^-1x and t = 1/psin^-1y sin^-1x = 1/psin^-1y differentiate wrt x 1/√( 1 -x²) = 1/P 1/√( 1 - y²) dy/dx take square both sides ( 1 - y²) P² = (1 -x²)(dy/dx)² again differentiate wrt x ( -2y)P²dy/dx = ( 1- x²)2dy/dx. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. ` x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ) If `x = acos^3t`, `y = asin^3 t`, Show that `(dy)/(dx) =- (y/x)^(1/3)` If x = a (2θ – sin 2θ) and y = a (1 – cos 2θ), find `dy/dx Click here👆to get an answer to your question ️ \"\\( \\begin{aligned} 15 . 31. Then, find \(\cfrac{d^y}{dx^2}\) at t = 0. (To eliminate the arbitrary constants we differentiate the equation twice. ` `x = a(cos t + log tan t/2), y = a sin t` If x and y are connected parametrically by the equation, without eliminating the parameter, find `dy/dx. hfqftouhgjekqqtpqowusflhylzntlziocpoorxtqtihda