(i) Find fæ, fy, fry, far and fyy for the function: f(x, y) = e¹y² + x³y³ . Verify that fry = fyx. Find fa, fy, fry, fax and fyy for the function: Verify that fay=fyx. f(x, y) = y² cos x - x ln (x + y).

Q: Exercise 2. Integrate the following functions. 1. S(3x+2)°dz 2. 3.

A:

Q: Q1. (а) Sketch the graphs and find the domain and range of the following functions: Coi () у 3D Vx —…

A: Range and domain of given graph is given : y= sqrt(x-5)  y = 1/(x-2)

Q: Write an expression that gives the area of the rectangle as a function of a. B. The area of the…

A:

Q: Write the following function in the form y = f(u) and u = g(x). Then find dy dx y= OA. y=f(u) =u²…

A:

Q: Given y = f(u) and u = g(x), find y=8u+1, u = dx (글)x 2 || 3 + dy ᆞ = f'(g(x))g'(x). dx

A: According to Bartleby guide line we only do first part of multiple questions.(A) y=8u+1,

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: dx Let b be a constant and F(x)= . Then we have F(x)=[F]. b?x²+1

A: The given function is, Fx=∫dxb2x2+1 Consider t=bx then, bx=t bdx=dt and dx=(1/b)dt

Q: dy for the implicit function x +y -2y = 3. Then find the equation of the tangent line at the Find dx…

A: use differentiation for finding the slope and then use it for finding the equation of tangent line.

Q: 3x 3x A Math 31 student discovers that y' = sin- and she wishes to know where the cos function y =…

A:

Q: Express your answer in terms of the independent variables.

A:

Q: dy d {-3xy} in terms of x , y , and dx y is a differentiable function of x . Write dx

A:

Q: bilowing function y = (sin-lx)sinx

A:

Q: B) Find for the Implicit function: dx x? – sin(xy) + y? = 5xy

A: The given equation is; x2-sin(xy)+y2=5xy.