5. Verify that the hypotheses of the Mean-Value Theorem are satisfied by the function f defined by f (x) = v/25 – x² on [-5, 3]. Find all values of c in the given interval that satisfy the conclusion of the theorem.

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A: To find the Taylor series for f(x)=e2-x centered at a=1. Concept used: The Taylor series can be expr...

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Q: 6. g(s) %3Dr-고 +1 in

A: The objective is to match the tailor polynomial approximation of the function with its graph. 

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A: Given query is to find the rational function with given characteristics.

Q: case

A: We will find the type of equation and draw the graph. 

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Q: 2 Consider the function f(x) - A. 6x + 4x8. f(z) has a critical point at z = Find the value of A: A ...

A: The given function is f(x)=-6x2+4x-8 .............................. (1)  Differentiate with respect ...

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Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

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Q: NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -...

A: To find out the intervals of concave up and down. 

Q: Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

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Q: Hw-4 problem SET 2.1 Yeduce to Pirs oreler and solve (1+ Cosn 6 gonod luck a^

A: First we reduce in first order that is integrate on both side.  According to guidelines we solve onl...

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Q: step

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A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral x Inx dx Select one: 3 3 O ri Ina- +C O 3 Inz In r- +C O- In z- +C O None of t...

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Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where neede...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: The region bounded by the curves,x=23y ; x=0 ; y=5

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Q: uaponbo Duwoyo an pooO *+1 And any Intercepts. (If an answer doc not edst, cnter DNE.) x-Interoept (...

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept, take y=0 here ...

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Q: fa) - 6x + 5X-! (- o, A).(A,B)(B,C) and (C,) where Important inte A and C are the critical numbers T...

A: Let's find. 

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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Q: 11. In x)3 dx 4x

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A: Given query is to find the equation of the tangent line  

Q: Use L'Hopitals's rule to find lim (2 – x)tan(ra/2). (Tx x→1

A: We use elogu=u and l- hospital rules in this question to find limit.

Q: 1. The volume, V (in Litres), of liquid in a storage tank after t minutes is described by the v(1) =...

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A: Explanation of the answer is as follows

Q: 6.2 o, 417 り O• 2 o.447 X, o. 587 0.3 nd:. う、= ?

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Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b) y...

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more...

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Q: 3. у %3D — 4(х + 2)2

A: To find out the maxima and minima.

Q: 1.5 (0,7, 0.2y f0.7,0.2) O5 ー15 - O.5 0.5 1.5 -0.57 (-1,2,-1) -15 -2

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Q: (c) e Op 25 00sp55 Op > 0 O There is no p which makes the integral improper. Op55

A: Given that        ∫05e-px dx 

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Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

A: