f (x, y) = xy 9x +y = 18

Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: Where is the function y=(x−5) 3 concave down?

A:

Q: Solve for y: x³ + ¹y = xy + 7.

A:

Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

A:

Q: Let f(x, y) = = 160 - 2x² - 4y² For which value(s) of y is f(-3, y) = 7? y =

A: Given function

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: frx) = x² -5x* , 5x * 3 %3D t X-intercept

A:

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: Find f(3, - 4) if f(x.y) = 4x² + 3xy– 6y +6x- 3y – 7. frox (3, – 4) =

A:

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

A:

Q: f(x+1): = 71 Sx+3 ZX-7

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: y = v1 - x2 from a = 0 to r = ;

A:

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…