Suppose g(s) = s2 + 4s +1. Find a value c in the interval [1, 11] such that g'(c) equals the average rate of change of g(s) on the interval [1, 11].

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A: Concepts: f(x) = e-x10[cos x + sin x]    f(x) = e+x10[cos x + sin x] 

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A: topic - derivative of a function

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Q: 1 ; -54 (а) Evaluate lim f (x) if it exists. State your reason(s). x→4 (b) Prove that f (x) is not c...

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A: g(x)=-x+4, x≤4h(x)=2ex, x≥0a)   (h∘g)(x)    =h(g(x))     =h(-x+4)     =2e-x+4 ⇒(h∘g)(x)=2e-x+4   Dom...

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A: A detailed solution is given below

Q: let

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Q: let Peas be delimed by Xく2 3-X I5 fixo continuous V= 2 2.

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Q: fly(x)) c? Vx U= x)こ

A: y=e3x U=g(x) y=f(U)

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A: For a given vector fx, y, z the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yf∂ ∂ zf=∂ ∂ xx3+y2-4z2+z...

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Q: (c) {; = y = x2 y = 9 (d) y? + x2 = 2 y = x2

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost o...

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Q: Problem 2 Evaluate the limit if it exists or state DNE (does not exist): V4u+1-3 a) limu¬2 u-2 b) li...

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Q: Evaluate the integral. HINT: [Use a shortcut.] 7x dx lo x2 + 5

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Q: Evaluate by any applicable method. Si VV¤ – 1 dx - 15 32 None of the choices. Please refer to my sol...

A: Topic:- integration

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Q: 8x*- Vx Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal pla...

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Q: Q 3/ Find the psints the Curve y=2x=3=? 12 x+20 on where the tangent is parallel to the X-aXis

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Q: If two functions Fand G are both antiderivative of the function H then F-G=0. A True False

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Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

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Q: 2) The diagram shows a square with cross-section x units by x units, and 9- 2x units. Find maximum o...

A: From the given diagram; The expression for the volume of the given prism is: V=x·x·9-2x=x29-2x=9x2-...