J(y) = (y/(x) + y(x))² dx, for all y E V.

Q: y(t) is incorrect

A:

Q: Restrict the domain of f(z) such that it is one-to-one (if it wasn't already), and then sketch the…

A: Horizontal line test: If the horizontal line intersects the graph of a function in all places at…

Q: Find df/dx and df/dy for the function.  f (x, y) = 2x2ey

A: given:  f (x, y) = 2x2ey

Q: 6x + 2y nd the solution to the linear system of differential equations {", satisfying the initial…

A:

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

A:

Q: d (F(x*) dt dx dx

A: Explanation of the answer is as follows

Q: Find and sketch the domain of the functions of two variables: 1. f(x, y) = = 16x² - y² x + 3y

A: The given function is  fx, y=16-x2-y2x+3y We have to find and sketch the domain of the given…

Q: Find an expression for dy/dx. y= (u+5)(u-5) u= x2  + 7

A: Given expression are  y=u+5u-5=u2-52                                Using a+ba-b=a2-b2=u2-25…

Q: g(x)dx = (5x? +2)° +C

A:

Q: Evaluate (3x²y + y)dx + (x³ +x) Select one:

A: Here we have to evaluate ∫(1,2)(4,5)3x2y+ydx+(x3+x)dy ............(1)  Here P(x,y)=3x2y+y and…

Q: of and dy For the function f(x,y) = In (8x + 9y), find - - of

A: partial derivative of two variable functions

Q: xux-yuy+y2u=y2x find the general solution

A:

Q: (b) Consider the non-stationary series {Xt}, Xt=t+St+ €t where St has period 2 and ~ iid(0, ²) and…

A: A non-stationary series Xt is given such that: Xt=t+St+εt where St has a period 2 and εt~iid0,σ2.

Q: Evaluate the value of I = f(e6 − 3x)dx + (6xeº + y)dy, r where I is the straight line from (0, 0) to…

A: On the curve Gamma , which is straight line from (0, 0) to (3,0) we have, y=0 and x  ranges from 0…

Q: As a → 1 what happens to the value of f f(x)dx?

A: As a →1 what happens to the value of ∫1af(x)dx.

Q: ((x + 1)5 + 3y)dx − (x + 1)dy = 0

A:

Q: f(x) dx = 18 and f(x) dx = 3.7, find f(r) dr.

A: using property of definite integration

Q: dx Find F(x) = S 1-2x+ 2x2

A: Here we solve the integration problem.

Q: d d (F(x³)) dx dt dx 14 ..

A: (1).   The given expression is: ddxFx3=ddx∫14x3 e-t2 dt

Q: (f) ef +1 ex dx

A:

Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

Q: 1 S (x– 2)(4x² + 1) dx х — 2 4x¯ +1

A:

Q: Evaluate f(f(x+2y)dy) dx.

A:

Q: The process followed by a variable x is: dx = function f(x,t) = In(x/t)? uxdt + oxdz.What is the…

A: Given:     Using x is : dx=μxdt+σxdz find the process for the function f(x,t)=In(xt).    Also that…

Q: b) Evaluate f v1 – x² dx.

A: