Find lim f(z) if 4x 1 472 < f(x) < + 3x for all z 5. T100

Q: 8. Evaluate the integral 2y dA where R is the region between the curves y = x2 and y = x(1 – x).

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: dx sin (7x)[7-cot2(7x)]

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Suppose that f(x) = = (1 – vx) and g(x) = (x + 2). Find f[f (x) + g(x)] dx. %3D

A: We need to find integral value.

Q: 4. J (sin t + cost t) dt A - cos t+ sin t + C - cos t- sin t + C cos t+ sin t + C cos t- sin t + C O...

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Q: Evaluate the integral. sec3xdx A In sec3x+ tan3x+c There is no correct answer from the given choices...

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Q: et dx Ve²x+49

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Q: 5) Suppose the function C(1), where trepresents the number of months from January 1, 2020, approxima...

A: Given, C(t)  represents the energy cost to a manufacturing company, where t is the number of months ...

Q: Consider the following sequence: +00 {a, } = {n – n² },, Use an+1 – a, to show that the given sequen...

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Q: Solution of ODE: Find the solution for the following ODE y' = 2y O y = ce2r O y = 2ce"

A: Topic - differential equation 

Q: 3. Let v(x, y) = (2x + y, x + 2y – 2). - a. Show that u is conservative by finding its scalar functi...

A: Follow step 2nd   According to guidelines we solve only first three parts. Thank you. 

Q: If fó f(x)dx = n , f, 79(x) dx : 7, and g(x) dx = 2, what is the value of S, g(x) dx?

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Q: Evaluate the indefinite integral. arctan dx

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

A: The circle formed has the area  A=πr2...(1) Differentiating it with respect to t: dAdt=π2rdrdt...(2)

Q: X dx У3— 2х — х2 - Hint: Complete the square for the denominator for part c.

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Q: Below is the graph of y=3^x Translate it to become the graph of y=3^x+4-2 provide the points and h...

A: Given: -  Below is the graph of y=3x Translate it to become the graph of y=3x+4-2 To translate: - P...

Q: 8) A company's demand equation is x - V 2000 - p² , where p is the price in dollars. Find dp/dx when...

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Q: If f(x) is a differentiable function, and n is a rational number, then Sf(x)" f'(x)dx = L4)"+1 +c n+...

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Q: Consider the series 00 Σ n3 n=1 1 Is it possible for this series to be conditionally convergent? a. ...

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Q: Find all points on the graph of f(x) = 12x-21x+9 where the slope of the tangent line is 0. .. The po...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k + 4 E(-1)*+1...

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Q: 2x – x3 1. Evaluate dx. (r – 1)²(x²+1). -

A: we want to find the value of the given integral I=∫2x-x3(x-1)2(x2+1) dx

Q: each given closed interval. Show your proof using the intermediate value theorem. 1. taentify if the...

A: Find your answer below 

Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

A: A detailed solution is given below

Q: Use the differencean+1 – an to show that the given sequence {a, } is strictly increasing or strictly...

A: Difference = an+1 - an= (n+1)9(n+1)-8 - n9n -8=(n+1) 9n+9-8-n9n-8=n+19n+1-n9n-8=(9n-8)(n+1)-n(9n+1)(...

Q: The Maclaurin series of the function f(z) = 3z'e-9 can be written as f(x) = Cn" n=0 where the first ...

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Q: (6 points) Delermine whether the series is convergent or divergent. If it is econvergent, fin um.

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About th...

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Q: Find the inverse s of -6854 modulo 979 (note that 0ss< 979). Justify the existence of the inverse be...

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Q: 1- 13 – z lim Z→2 Z- 2

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Q: V lim x² – 9 X→3 x² – 4x + 3

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Q: Set up the definite integral required to find the area of the region between the graph of y = x² – 2...

A: Given: y=x2-20 &amp; y=2x-5 Now find the point of intersection between the given curves; x2-20=2x-5x...

Q: Suppose three stars lie on the same line. The unit used in astronomy to describe the mass of stars i...

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Q: Next question If a function s(t) gives the position of an object at time t, the derivative gives the...

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Q: 2 find the Voleime Cf the solid generated by revolving the region bainded by the given lines and Cer...

A: The region is bounded by,y=25-x2 ; y=0; x=0; x=5 about x-axis

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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Q: Question 8 Which of the following is NOT EQUAL to the given integral. tanx There is no correct answe...

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Q: 12x16

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Q: 6 - Зх *b. f(x) = 5+ 6x

A: Accoriding to given "b" only solved :Given :f(x)=6-3x5+6x

Q: Question 3 Find k' (x) if k(x) = e* ( 3x5/4 %3D Provide your answer below: K(x) =

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Q: Use are length formula to find the Of the line segment y=l1-7x, OLx

A: solution:-y=11-7x,   0≤x≤5dydx=ddx11-7x=-7Arc length formulas=∫ab1+dydx2dx  

Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 2x) cos(x) dx

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Q: S x²dx =?

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 +x+ 3....

A: Find your answer below 

Q: A: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can wri...

A: The domain of a function is the set of values of input for which the function is defined.

Q: A. Determine the indicated derivative for each of the following functions. x3 cos y 1. Find fxzy for...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 2. Set up only the integral(s) that will compute for the area shaded region. y =-4 y=r+2 y = 2r -

A: Explained below 

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A: Concept- we have a given curve and we have to find volume by using the method of cylindrical shell.

Q: 6. 2x3+3x dx x4+3x2 C 1 In lx* + 3x21 + C + C In(x4+3x2) 1 1 In Ix + 3x21 + C +C 2 In(x4+3x2) A B O ...

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