Evaluate the integral tan 4x S- Vtan? 4x - 24 dx Arcsec sec 4x + C 5 1 Arcsec tan 4x +C V24 4/24 Arcsec 20 sec 4x +C 5 Inltan 4x + /tan? 4x – 24| +C

Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 - 3...

A: We will use substitution method to solve it.

Q: A population numbers 20,000 organisms initially and grows by 15.1% each year. Suppose P represents p...

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Q: Evaluate the integral dx 3e2x - 2e-2x 1 VZe-2x + /2e-4x - 3+C 2/2 1 -Arcsin V2e-2x +C V3 2/3e2x - 2e...

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Q: ку — 1 x²y 1 dx dy = 0 ху?

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Q: Evaluate the integral V5+ 12x? - 4x xdx O 1 (2x2 – 3)/5+12x² – 4x4 + 14Arcsin V14(2x² – 3) +C 14 -3)...

A: Using integration of square root of a2 - x2

Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: Find the area of the shaded region in the given graph.

A: This question can be solved using the concept of area under curve using definite integral.

Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch o...

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Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

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Q: Sketch the region enclosed by y = ešª , y = es, and x = 1. Decide whether to integrate with respect ...

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Q: Evaluate the integral. tan(10 x) sec*(10 x) dx +C

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Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)

A: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)  

Q: Choose all sets that are countable: O (-0.5, 11.5] n Z O (-0.5, 7.5) O NU{-1} O {3k|k € Z} 1 n e N n...

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Q: EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

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Q: 1 8. If y = 1+ a) Prove that y' = 0. b) What kind of functions have derivative 0 ? c) You can actual...

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Q: For the function ?(?) = 1/4e^x+e^-x 1. Set up the integral for the length of the curve segment along...

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Q: 10* tan væ – In () DIFFERENTIATE the given:

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Q: Vx sin/x Find: Formula 0 2 fsin u du 2 | sin u du | sin u du Sesc u du

A: We have to choose the correct option according to the given options

Q: Create a double integral that can be used to find the volume V of the solid that lies under the hype...

A: Here, to find the volume: V=∫-11∫15-x2+3y2+3dy dx

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

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Q: Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of...

A: Given:       f(x) = 4x3 + 6x2-24x+1

Q: Let F(z) = | sin(5t) dt. Find the MacLaurin polynomial of degree 7 for F(z). 0.69 | sin(5z*) dz. Use...

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Q: Evaluate the integral. | sin(x) cos(6x) da = +C NOTE: Enter the ezact answer.

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Q: Let f(x) = 4e"+2 + e-3. | f'(0)

A: Question is solved.

Q: x 2 f(x) = -

A: Using continuity of polynomials function,

Q: Evaluate csc?x cot(cot x) dx. O- csc?(cot x) + C O cot(csc? x) + c O -In |sin(cot x)| +c O In sin(co...

A: Given query is to find indicated integral.

Q: Prove that lim X-2 2x2-3x-2 = 5. x-2

A: Topic = Limits

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: The given function,       19 cosπx

Q: sinx + coSX dx e-X + sinx + sinx

A:

Q: f(t) = t−3 Find  f '(t). f '(t) =          Find the slope of the graph of the function  f(t)  at the...

A: On solving this we will get

Q: 1. A strictly monotonic function is defined as a function that either always increases or always dec...

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Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A: Equation of tangent at point a,b with slope ,dydx.y-b=dydxx-a1. y=6x2+1    ; 1,3dydx=6×-1x2+12×2x=-1...

Q: Find an approximation to V11 using 4 steps Bisection Algorithm

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Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the...

A: NOTE: Refresh your page if you can't see any equations. . the base charge is $6.5 and for the first ...

Q: The revenue function Rin terms of the number of units sold, a, is given as R= 250z – 0.32? where Ris...

A: topic - functions and application of derivatives

Q: Given the differential equation у" — у' — 12у %3D 7ез^ cos(x) Determine the Wronskian for the differ...

A: Solving wronskian

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

A: topic - present value 1year =52 weeks

Q: A productivity formula for a student's performance on a basket-weaving examination is g = 12tx – 0.2...

A: Here, the given function is: g=12tx-0.2t2-10x2   ....(1)     (t<10) where g is the score student ...

Q: dy 9ху — 5у dx

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Q: In each part, determine all values of p for which the integral is improper. Enter in interval notati...

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Q: dx Evaluate * (1-2x)² (1–2x)² O 1 1 2 O-1 o 1 2

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Q: y Sales of Version 4.0 of a computer software package start out high and decrease exponentially. At ...

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Q: Let g(s) = (5s – 8)*. - Then g'(s) is g'(3) is s! (s),,6 and g''(3) is

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Q: flIth)-f(1) find lim.

A: Given query is to find the Indicated expression.

Q: Given: x² dx Find: Formula Se"au o fe"du " du 3 o 1 e"du o fa"du aªdu

A: topic - indefinite integral

Q: IM: 2. For each of the following series, determine if the series is geometric or not. If it IS geome...

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Q: unction f(x, y) = 7x – 8y + 2xy – x² + y°

A: Given:- f(x, y) =7x-8y+2xy-x2+y2 To find:-

Q: x² + x – 1 3 - limx→ (X→∞ 2x2 — х + 1

A:

Q: Find the critical numbers of the function f(x) = 2x -15x2 +36x- 24. O a. -2 and -3 O b. 2 and-3 O c....

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Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.