For f(x,y)=-6x'y° : (a) Determine fx(x,y) . 6.6 Answer: -42x (b) Determine fy(x,y). Answer: -36x 7.5 'x

Q: dy + 3x?y = x', x?, y(0) = 2. %3D dx

A: The given differential equation is  dy/dx + 3x2y = x2 y(0) = 2

Q: dy The equation, ух + In y, dx 3 Vx²-1

A: Given data:     The given differentiable equation is: .   The expression for the linear…

Q: y? + 2xy + x³ = 3y.

A:

Q: Find derivative: (b) y= -3 -3x4

A:

Q: 3. Find y': y = 5sin3x

A: The given function is, y=5sin3x We need to find the derivative of the given function. The derivative…

Q: The temperature in degrees Celsius on the surface of a metal plate is T(x, y) = 60 6x² - y² where x…

A: Solution:

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

A:

Q: Find dy. 3 y=³√√x (6-5x).

A: Given query is to find differential.

Q: y = (x- x), then dr True O False O

A: solutionif y=x4-x7 thend29ydx29=0 true or noty=x4-x7In above equation (y=x4-x7)Degree of…

Q: Find dy 3 2. -3x

A: Given that, f(x)=x3-3x We have to find derivative of the given function.

Q: y = x - 2 y InU

A: The slope intercept form of the line is given by y=mx+b where m is the slope and b is the y…

Q: 5. (D²+4)y=4 cot 2x

A: We use variation of parameters method to solve the given differential equation.

Q: dx -x = 2y², dy y(1) = 5

A:

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: 19 45

A: Concept : for right angle triangle sin(θ) = lenght of opposite side for θhypotenuse of right angle…

Q: Q2: find y' y= 33*esinx2

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Assume that y varies jointly with x and the square root of z. f  y=30 when x=3 and z=25, then find…

A: Given y varies jointly with x & square revt at Z .If y = 30 when x = 3 & z = 25 .We have…

Q: dy Find d.x given y = (Vx+x)(104x¬1+2x¬5 + 46). Do NOT 1. simplify.

A:

Q: answer the ff

A: 2. Given the differential equation,                        (1+y2)dx+(1+x2)dy=0.

Q: Q2: find y' y= 33xelnx²

A: We have the given function : y=33xelnx2 We have to find the derivative of this function.

Q: Q7 Find dy using substitution: dx y = csc-(x3 + 1)

A: Put u=x3+1. Then, du=3x2dx Therefore, the expression y=cosec-1(x3+1) becomes,…

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: У(2x? — ху + у?)dх — x? (2х — у)dy %3D0;B у(1) - H IN

A: Use homogeneous equation

Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

A:

Q: DR.

A:

Q: Find // (3x + 5y)dA where D D = {(x, y) | x² + y² 0} . Round your answer to four decimal places.

A: Double integration

Q: - y=(x² +3x+1)*

A: on doing differentiation with respect to x

Q: Find dx5 d³y for y = sinh(4x²) – /coth(6x³) %3D

A: