Find the exact extreme values of the function : = f (r, y) = 49r + 13y + 50 subject to the following constraints: y 20 y <9 – 22 Complete the following: fmin | at (x,y) = ([ fmar |at (x,y) = (

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Consider the function f(x) = (x² – 2x)3. Find the absolute 1/3 maximum and absolute minimum values…

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Q: 2 (d) T (x) = Væ + 9Væ7

A: T(x)=x+9x73-2x25Formulaamn=amn1at=a-tddxx=n xn-1

Q: 1. Given the function S(a) = Find (a) all the a and y-intercepts,

A: The solution is given below in the next step: Also in step 3 graph is provided for better…

Q: The functions f(x) = 1 and g(x) = 5x are orthogonal on the interval [-1, 1]. %3D %3D

A:

Q: evaluate the function at the given point. f(x,y)=x2+y2, D={(x,y):0<=x<=1, 0<=y<=1}

A:

Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

A: px=-x2-24x Differentiating with respect to x, we get p'x=-2x-241=-2x-24 Now to find critical values,…

Q: F=(x-y², x²•y +3) at A-(1, 1), B=(2, –1) and C=(0,-2). %3D

A: The divergence of a vector field F = &lt;P,Q&gt; is defined as the partial derivative of P with…

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

A:

Q: Find the maximum and minimum values of the function f(r, y) = x²y subject to 5æ² + 4y² = 60 Maximum…

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Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: Determine the expression for Fyz(x, y, z) given the function F(x, y, z) = 2x²y – xz? 3y z.

A:

Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How…

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting…

Q: Find the gradient function for: 1+3x 1) y = %3D x2 +1

A: Given that  y=(1+3x)/(x^2+1) To find the gradient of y

Q: f(x, y) = 6 – V4 - x2 - y2 is

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Q: How do you linearize a function ƒ(x, y) of two independent variables at a point (x0, y0)? Why might…

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Q: 2х-1 given f(x,y) = e Find y ôyôx

A: We have to find the partial derivative with respect to x and then with respect  to y of the given…

Q: Find the candidates for the local extremes of the function f(x,y)x5+y5-5x-5y+1

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Q: f(x, y) = 3xy – x²y- xy?

A: