Find the maximum value of f(x,y) = 19 – x² - y? on the line x+ 3y = 10. The maximum value of f(x,y) = 19 – x² - y on the line x+ 3y = 10 is (Simplify your answer.)

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

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A: The differentiation of nested functions can be calculated by using the formula ddxfgx=f'gxg'x  . And…

Q: Is f (x) = (3x - 2) - (2x + 1) a linear function? Explain your answer.

A: To check: Whether the given function is linear or not. Given information: The function is…

Q: determine the X intercept of f(x)=2X -4 divided by X - 1

A: x- intercept is the value of x coordinate at which the value of y=0.

Q: If f(x) = V3x² – 12x + 12, express the function, f, in simplified form.

A: Given function is fx=3x2-12x+12. To express the function f in simplified form. Solution: We have…

Q: calculate the domain y=x3-7x2+10x y=x+5/x2-16

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Q: The function y x- + ax +E6 has zeros at x = -5 and x = 6. || Determine a and b exactly and enter…

A: If equation is cx^2+ax+b=0 than product of roots is =b/c Sum of roots=-a/c

Q: 7) Determine when the function f(x) = 6x - 35x +56x - 20 is positive and when it's negative.

A: The given function is: f(x)=6x3-35x2+56x-20

Q: coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2,…

A: profit = 235x1 + 540x2 + 252x3 - 525000 we are given that x1 = 300 x2 = 600 x3 = 450

Q: Let f(x)=-x2-3x+5. find f(3).

A: To find the function in the given value, replace the 3 in place of x to obtain the result.

Q: 5. Use the function f(x) = x³ + 2x² + x - 2, create a table with 8 inputs and outputs. Complete the…

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Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

Q: Find the function y = ax²+bx+c whose graph contains the points (1,13), (-2,-8), and (2,28). What is…

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Q: Identify the x-intercepts for: f(x) = x² + 5x+6

A: To find x-intercepts for a function f(x),  Put f(x)=0

Q: Find the exact x-intercepts of the function y = x - 4x³ - 20x² +48x + 135.

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Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

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Q: Find the point on the line 2x + y = 8 that is closest to the point (−5, 1).

A: Use distance formula to solve

Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: Without using Calculus, determine whether the two variable function f(x, y) = 5x2 − 4xy + 5y2 has a…

A: The given function is f(x,y)=5x2-4xy+5y2

Q: Find f(x) = 3x2 + 9x – 13 as x = -6

A: We have to find the value of the function f(-6).

Q: p(x)=2x-2, what is the domain?

A: Refer to the questionTo find the domain of the function p(x)=2x-2. Domain is said to be the all the…

Q: Determine what x = 5 is (max/min/neither) of the function f (x) = 2x2 − 3x + 9

A: Given f (x) = 2x2 − 3x + 9