The G.S for: x²y – 2xy' + 2y = 0

Q: Find dy/dx for x?+6xy?+y%= 12

A: Given,          x2+6xy2+y3=12

Q: dy 2. (a) Determine in terms of x and y given that dx i. x²y + 3xy3 – x = 3 ii. sin(x? y?) = x (b)…

A: Let's find.

Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

A:

Q: 4. Find y if ((2x+7)dx x +4x+8 I = -1 tan y + C In|x² + 4x + 8 + 1⁄2 ta

A:

Q: 3. у %3D ах + bx2

A:

Q: Y = w tan-1(uv), u = r + s, V = s + t, w = t + r when r = -1, s = 2, t = -1 1. as at ar as %3D

A:

Q: Q1-Find dy / dx for the following functions : -2 2.8ln2 Cosh9x Inxy 4 3 6 Isino 5 log2 2

A: Differentiate with respect to X taking y as constant :

Q: c. Let y = x-5 – 3 ln () – d³y a x3 (or) y(3) -7 sin 3x. Find

A: Explanation of the answer is as follows

Q: dy Q8. Find for the following: dx y = In (3 – 4 cos x) b. у %3D (4х — 5)

A: To find  dy/dx for the given functions

Q: Let Eind the change in y, Ay when x=1 and lox= 0.2

A: To calculate the change in y

Q: Ahshsbwajwbbsvvq8172882

A: Step 1:

Q: Q2: Find Wx, Wyy, and Wxy for the function ху W = x sin(y) + y sin(x) + xy ||

A:

Q: S4x(5x³ – 3x)dx

A: To find the antiderivative: ∫4x5x3-3xdx

Q: 3. For each problem find : dx 5x3+xy? = 5x³y3

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: dy 4. х dr =x³ – 2y, given x =1 when 47 y=3 y3= - - 3 15x2

A:

Q: dy If y=u? and u = x3 + 4 determine dx

A:

Q: J-1/2 sin(2:-3/2jår =

A:

Q: sinh 2 .a O 3s2 –4 9s2 – 4 6. s2 – 4 2s²-4

A: Given, Lsinh23t. We have to evaluate it.

Q: Find . dy dx e 4x, = sin (x + 8y) %3D O In sin (x + 8y) 4e4x -1 S cos (x + Sv) S cos (x + Sv) 4ex -…

A:

Q: dy y X, dx

A:

Q: Q10. If f(x, y) = cos( 3x + y) Find:

A:

Q: dy for e dx (*² +1), 6. Determine ln( 19) + x² – xy =

A:

Q: Find the general antiderivatives of the following functions: 7x dx a. (1-x)* (1-x2)3 b. S(6 sin x –…

A: To find the general antiderivatives of the following functions

Q: L, L, x² e*y dxdy 1- 1

A: The graph of region of integration is as follows where orange part represents the area of…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.