Watch the video on integrating an inverse trig function using trig substitution e before answering this question. What substitution should you make for the integral (cos- x)3 dx? tan 0 x = cos0 x = sec 0

Q: 2. S dy 3ylny/9ln²y-25

A: To evaluate the integral: I=∫dy3y ln y9ln2y-25...(1)

Q: (1 – xy)-²dx + [y² + x²(1 – xy)¯²]dy = 0; when x = 2, y = 1

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Q: Sketch the region bounded by the graphs of y r and y = V. Then find the volume of the solid formed b...

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Q: Evaluate the integral fR Tm dA, where R = [0,8] × [0, 8]. (Give you answer to three decimal places.)...

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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: Differential equation dy - 3x Initial conditions y=4 when x=9 1. dx %3D

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: find solution of this differential equation: (1−xy)^−2 dx + [y^2 + x^2 (1−xy)^−2 ]dy = 0; when x = ...

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Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

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Q: What is the median of the set consisting of the first ten prime numbers?

A: We have to find the median of the set consisting of the first ten prime numbers.   Prime numbers are...

Q: As the prize in a contest, you are offered $30,000 now or $58,800 in 9 years. If the money can be in...

A: Given     investment=$30000 Time (t)=9yeays Rate (r)=7% Here compound annually so  A1=P(1+r/100)^t P...

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: d (e6) = 6• e5 dx Choose the correct answer below. d (x^) = nx"-1, dx O A. True. The Power Rule stat...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: given the funchon go=co x3+27x +36X g (x) = 18X2+54 X+ 36 %3D g"M) = 36X+ 54 g"(-2)= -18 IS graph of...

A: Given query is to find the behaviour of the graph at x = -2.

Q: Use n= 6 and p = 0.75 to complete parts (a) through (d) below. .. (a) Construct a binomial probabili...

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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: hree different forces act on an object. They are: 1 ind the net force Fnet on the object (the sum...

A: Given query is to find the indicated vectors.

Q: A rectangle is bounded by the x-axis and the semicircle in the positive y-region (see figure). Find ...

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Q: Calculate the double integral of f(x, y) = x over the region D in the figure. Assume that a = 2, b =...

A: Given problem:-

Q: Use the ALEKS calculator to evaluate each expressic Round your answers to the nearest thousandth. Do...

A: As we know that; The logarithmic properties; 1). logaxb=b·logax 2). logcab=logca-logcb   Given: (a)....

Q: Evaluate the integral. 2 sinh (4x- In 8) dx 2 cosh (4x - In 8) +C (B) cosh (4x - In 8) +C C) * cosh ...

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Q: +oo (-1)"+1 n=1

A: To show the convergence using alternating series test.

Q: tegration by Parts: This is the most important integration technique we've discussed in this class. ...

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Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 3 2 4 1 2 4 3 4 2 3 4 1 h'(4...

A: Solution ) h(x) = f(x) . g(x) Product rule of differentiation  h' (x) = f' (x) g (x) + f(x) g' (x) h...

Q: Calculate the double integral of f(x, y) = 2 – 8x over the triangle with vertices O = (0,0), A = (3,...

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Q: 8. Σ Consider the series . If you apply the Ratio Test to this series, which of the following conclu...

A: Given query is to find series converges or diverges from ratio test.

Q: dx A) cosh (*) O tan sin sinh

A: Given query is to find the value of the integral.

Q: Use the method of Frobenius to solve the given equations. a) 2x?y" – xy' + (x² + 1)y = 0 b) 2x?y" + ...

A: Since the solutions of the given equations are very lengthy in Frobenius Method , i gave the solutio...

Q: sin 8 ydy 8. 25+ sin* 4y 4.

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Q: Which of the following integration expression can be transformed into integral of power (Choose 2)

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Q: 3. Find the arc length of the curve y =;x² --In x,

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Q: dæ What substitution could you make to solve the integral with Vx²+4x+8 a trig sub? x + 2 = 2 cos 0 ...

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Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Find the domain and range of the function graphed below.

A: here by the graph we have seen that th x intercept is (-2,0) and the y intercept is (0.4)   the doma...

Q: For both exponential and log functions the base az1. 1) Explain what the exponenial function would l...

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Q: Let f(x) = x“.4x3 Find the derivatine of P (x) and the points, (X,y), where te tingent line is heriz...

A: f(x) = x4 - 4x3f'(x)=ddx(x4 - 4x3)f'(x) =4x3 - 12x2

Q: Evaluate the following limit. Use​ l'Hôpital's Rule when it is convenient and applicable lim x->0 ,...

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Q: The olid lies betcween planes perpendicular 4o the X=axis at x=0 and X=7,The Cross sections Perpendi...

A: Concept -we have a given two plane and perpendicular to x axis from x=0 to x=7 , We have to find sol...

Q: Complete the following steps for f (t) = t³ – 6t² + 4 a) Find f'(t). b) Find the critical points by ...

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Q: f(x+h)- f(x) = -h/(x+h+3) (x+3) compute and simplify f(x+h) -f(x)/h

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Q: a) Determine the dimensions of a rectangular tank, without a top, with minimum surface and a fixed v...

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Q: The following certificate of deposit (CD) was released from a particular bank. Find the compound amo...

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Q: 3. 2 X+6X+loX+ X さX Xナ6X+\0

A: Given: - The indefinite integral is, ∫x4+6x3+10x2x2+6x+10dx To find: - The solution of the given int...

Q: In 2017, an estimated 250,440,000 roses and 140,575,000  carnations were sold on Valentine's Day.  ...

A: Basic rate of change problem

Q: . Find a formula for the inverse of the function and show that fif'(x))=f'(fx)). 4х-1 a. y = V10-3x ...

A:  Note: - “Since you have posted a question with multiple sub-parts, we will solve the first three su...

Q: 10. Determine three positive numbers whose sum is 48 and such that their product is as large as poss...

A: find the three positive number.

Q: Find all the points at which the direction of fastest increment of the function f(x, y) = x² + y? – ...

A: Find your answer below 

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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