Find the area of the region bounded below by the curve y , to the left by the curve y = || cos(x) and above by the curve y = sin(x), given that x E (0, 27).

Q: Find the area between the inner and outer ovals of the curve r2 = 16(2 – cos 0)

A: Given,

Q: Calculate the area of the shaded region, where f(x) = sin(x) and g(x) = cos(x).

A: Given that fx=sin xgx=cos x To find the area of the shaded region of the curves from 0 to 2π The…

Q: What is the point of intersection of the tangent lines to the curve r(t) = sin(πt)i + 8sin(πt)j +…

A: Let us consider the given curve r(t) the tangent line is obtained as Find the derivative of the…

Q: Find y". y = edx sin Bx y" =

A:

Q: dy Find for y = sin (2x +3) da %3D Ans=

A:

Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y²; (4) y = x sinh 2x-cosh 2x (2) y =…

A:

Q: Find the slope of the tangent line to the trochoid x = rt – d sin(t), y=r – dcos(t) in terms of t,…

A: Given: x=rt-dsin(t), y=r-dcost To find: Slope of tangent line to given trochoid in terms of t, r and…

Q: Give an interval over which you could integrate to find the area of one leaf of the rose r = 2 sin…

A: r=2sin3θ

Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

A:

Q: C) use implicit nind ay differentiation to dn for 22 (Osh (y) - In (tanh 2) = y2 %3D

A:

Q: c) Let y be a function of x such that (y+1)° = 3sec²(2x)-e". dy Find by using implicit…

A: The given function is y+12=3sec22x-exy.

Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

A: