Consider the function f(x, y) = x²y+ y8 – 75y.

Q: Consider the function g(t) = 2t2 – 2t.

A: g(t) = 2t² −2tdifferentiate with respect to t,g'(t) =4t -2 Therefore g'(t) =0⇒…

Q: Let P(x, y) be a point on the graph of y = √x. Express the distance, d, from P to (2, 0) as a…

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Q: Decide if the following functions are linearly independent in the interval (-00, 00) f1(2) = 1+r,…

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Q: Consider the function f(x,y) = x3 + y3 – 3x – 12y + 20. Determine the four stationary points of…

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Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Let f(x,y) = 2* + 7xy, find f(0, – 3), f(- 3,2), and f(3,2). f(0, – 3) = (Simplify your answer.) f(-…

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Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: fex)= J4-x +2

A: The function is given by f(x) = 4-x + 2 To evaluate : The graph of the function f(x)

Q: Let f(x) = V3x +4.

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Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

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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…

Q: What is the domain for y(t)?

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Q: Find fxxx for f(x,y)=x2y2

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.