Describe the long run behavior of f(p)=p8−p7+2p3+5 As p→−∞, f(p)=     As p→∞, f(p)=

Q: *(x) = x3 – 2x + 4 at a = 1

A: Given query is to find the value of the function at indicated point.

Q: Q2/ A/ plot the function Z= 3(1-x) e-x²-(y+1)² – 10(x – x³ – y5)e-x²-y² _ ! e-(x+1)²-y² where…

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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: Let f(x) = Vr - 5, g(x) = , h(a) = , Find go((gof)+h(x)) at x=-1? 2-9'

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Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: Find f(t) if 40 F(s) = (s2 + 4s + 5)

A: Inverse Laplace transform

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

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Q: 2 (d) T (x) = Væ + 9Væ7

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

Q: Find the maximum and minimum values of the 2x3 function f(x,y) = * - 2xy – 5x + 2y² + 4y + – 2xy –…

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Q: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: Let f be a linear function for which f(−4) = −9 and f(4) = 15. Determine f(0).   f(0) =

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Q: 6. If f(x)= V3x + 4 , find (7).

A: Given function is To find inverse function of f , we set y=f(x) and solve for x Therefore,

Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: Let f(x, y) = 6x – 7y + 3. Find the following. (a) f(4, –1) (c) f(-5,-3) (b) f(-6, 1) (d) f(0, 7)

A: Consider: fx,y=6x-7y+3. Find. a) f4,-1 Substitute x=4 and y=-1 into fx,y=6x-7y+3 and solve to…

Q: Find the interval of increase of p(x)=x2+5x+6

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Q: If f(t) = –3t + 2, then 1. f(4) = f(4 + h) – f(4) 2. h

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Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

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Q: If f(x) = x + 9 – x and g(u) = u + V9 – u, is it true that f= g? Yes No

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Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

Q: Find the initial value of the relation y = 3(x+3)² + 7

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Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

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