Find the value of fr and fy at (1,-1) when 4 +5x² + 3y². xy f(x, y) =

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?

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Q: f(x) = Vx+9– 10.

A: We can solve the given problem using concept of function.

Q: Find f. r0 - VD + Sx), 1) -9 X) =

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Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

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Q: I what interval is y = 3x5 - 5x³ y=3x55x3 concave downward?

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Q: dy Q1: - Find of the following functions dx x2 +3 b. y = (x-1)3+(x+1)3

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Q: Find the concavity and point of inflection of y= x 2/ 3 + x2

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Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

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

A: Given function

Q: C) Find S x2e-* dx

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Q: Let f(x, y) = 2x - 4y + 7. Find the following. (a) f(3,-1) (b) f(-5, 1) (c) f(-5, -4) (d) f(0, 7)

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

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: Let f(x) = 2(x − 3)2 − 4. Find  f(4). f(4) =

A: To calculate f(4) when f(x) is given , we just need to put x=4.

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

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Q: 3x 8y Find f, and f, for f(x, y) = 2y 5x'

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

Q: y = (c1 + c2x)ex + c3e2x

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Q: If f(x,y) = 2x2-5xy+y?, find the value of f(1,2). A -2 -3 -4 D -5 B.

A: f(x,y)=2x2-5xy+y2

Q: Find y 1f y=X in (4x+1)

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Q: )

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Q: Find the equation of the line tangent to f(x) = 4x³ – 5x +4 at (–2, –18). -

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