Maximize p = x subject to x - ys4 -x + 3y s 4 x2 0, y 2 0. HINT [See Examples 1 and 2.] (x, y) = %3D

Q: If f(x)=-2x+1 and g(x)= vx² –5, 16. %3D %3D find (gof \2)

A: Given that:fx=-2x+1 and gx=x2-5To find g∘f2

Q: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

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Q: Lucy has been analyzing some functions that show the profit of a business. Which profit function…

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Q: Thank you

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Q: Maximize P = 10x1+ 2x2 subject to X1+ x2 0

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Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: Find (f + g)(x) if f(x) = Va – 2 and g(x) = Va. O (f + 9)(x) = Vx – 2 + va O (f + 9)(x) = v20 – 2 •…

A: According to question given that f(x)=x-2, g(x)=x

Q: Maximize p = 8x + 6y subject to x + y ≤ 25 x     ≥ 10 −x + 2y ≥ 0 x ≥ 0, y ≥ 0.

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Q: ive the LP problem. If n

A: Introduction: The following are the major steps in this method. (i) Mathematically express the…

Q: Find (go f)x f(x) = x² g(x) 2x-5 O x2-5 O 4x2-5 O 4x²+25 O 2x2-5 Question 10 f(x) = 10x - 7 g(x) =…

A: We will solve the following

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x – 5. (4 points each) %3D 8. Find (f +g)(2) 9. Find (fg)(3)

A: Given-  f (x) =  x² + 4 g (x) =  2x - 5

Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: Let f (x) = /2x +1 and g (x) = /2x – 1. Find h (x) =f (x) × g (x). %3D | a) h (x) = V4x² – 1 %3D - O…

A: Given f(x) = 2x+1g(x) = 2x-1

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: maximize P=5x1+2x2-x3 x1+x2-x3=0

A: According to the given information, it is required to maximize the given problem.

Q: Var(X) = Var(Y) = 10.  If X and Y are independent - calculate the value of Var(0.6X + 0.4Y + 10).

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Suppose f(x) = 5x – 6 and g(x) = Va² – 2x + 5. - - (f o g)(x) = (f o g)(5) =

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Q: Let f(x) = 7- Va +1 and g(x) = x - 6. Then (f o g)(2) %3D (f o g)(x) =

A: Given: fx=7-x2+1gx=x-6