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

Q: Find F(s). F(s) = £{t(et + e5t)2}

A:

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

A: Inverse Laplace transform

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

A:

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

A:

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

A:

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?

A: