14. Given f(x) = ax+b b-ax a. What is the root of f(x)? X b. What is the equation of the function's vertical asymptote? HA: c. What is the end behavior of the function? lim f(x) = X118 lim f(x) =_ X48 d. What is the y-intercept? (_,______) e. If a > b, sketch f(x) 17 A

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Q: a. X 1 e te. e2x 0.5x So dx

A: To Find  : ∫01ex+e0.5xe2xdx

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A: Given, 01911-500xyzw = -25

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A: C(x)=6x-75x+1(a) aversge cost(C¯(x))=C(x)x

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Q: Use the Riemann sum midpoint rule to calculate the distance John run in 5 seconds

A: We need to use Reimann sum.

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A: Please see the below answer.

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A: see below the answer and calculation Note: As per Bertleby Guideline i have to solve only first…

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Q: 4. Find the solution to the initial value problem y'= 5(2-y), y(0)=5. Report solutions in y equals…

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Q: Evaluate lim x-0 e-1 X

A: We have to slove above limit problem

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A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

Q: f(x) = √2x + 4, then f'(x) f'(2) ||

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Q: I Let f(1) = 1+8 Give exact answers (not decimal approximations). .. Find the values of a where…

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Q: If csch x= (√39/5) and x > 0, find coth x

A: given csch x=395we know 1+csch2 x=coth2 x

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A: see below the answer and calculation

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A: Use the concept of L’Hopital’s rule when determining a limit.

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A: The solution is shown below-

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: g(u,v)=u2e-vpoint is (8,0)v=3i+4jDvg(u,v)=∇g(u,v).a→

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A: Since the student has mentioned to solve more than one questions but according to our guidelines,…

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Q: example г Find the centroid of the region bounded by the curves y = x ₁ x = 4 and the x-axis. (0,0)…

A: According to question,Given Curves,y =xx = 4andThe x-axis

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