xsin-1x > [4) S*s dx [4] S Y1-x2

Q: Find the area of the surface generated when the indicated arc is revolved about the x-axis.…

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Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: 2. Find the directional derivative of o = yx2 +x²z + 3xyz in the direction of vector n = î + 2 ŷ -2·

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Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: We need to find horizontal and vertical asymptotes.

Q: exercise

A: f(x) = cx4 If x is doubled

Q: Y = 4 - x2, and 2y = 4 - x2

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: Solution of question is written in below steps.

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: To evaluate the given integral.

Q: 3x-9 dx gi S Vx3-9x-3

A:

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: 5) S V2 + sin 3t · cos 3t dt

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: | Evaluate the definite integral: 4+ 5x? dx

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Q: 1. a) A pond initially contains 500, 000 gallons of unpolluted water has an outlet that release 10,…

A: Let x(t) be the amount of pollutant in grams in the pond after d days Here we use a formula; Total…

Q: Find the area of the region between the graphs of f(x) = 6x + 8 and g(x) = x² + 3x + 2 over [0, 2].…

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Q: L( -x² + 2x² – 1)dx

A: To give the corresponding indefinite integral. To show the complete solution. ∫-22x5-x3+2x2-1 dx

Q: x – 2 - Let g(x) x + 3 (a) Find the third degree Maclaurin polynomial of g- (b) Approximate g(0.2)…

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Q: -1)*dx

A: Given  ∫02(x-1)2 dx

Q: Use D-I method

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Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

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Q: b) Find the sum of the series 10" -1 Σ n =1 11"+1 The sum = c) Find the exact partial sum S, of the…

A: We know that in a geometric series, the sum of infinite terms = a1-r and the sum of first n terms =…

Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

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Q: ,on what interval(s), if any, is the graph of f(x) incre: always decreasing

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Q: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.

Q: A1 3 y = 2x A1 + A2 = A3 1 y = x²

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Q: One face of the semicircular fin shown in the figure will be painted blue, with a circular hole…

A: Given:  A quarter circular fin with a circular hole. AB = 120cm.  Thickness of paint = 2mm  = 0.2cm…

Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: 253 Ux_ dx

A: Use substitution method to solve the integral

Q: Let f(x) = 3,/a If g(x) is the graph of f(x) shifted down 1 units and left 3 units, write a formula…

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Q: A jet plane travels 2 times the speed of a commercial airplane. The distance between Vancouver and…

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

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: Find the area of all the regions bounded by ALL of the following: y = x, x + y = 0 and y = 2 - x².…

A: Given figure:

Q: Q)find the inverse Laplace transform -2P (P+1)* 2. (2) 2. (P²-1)2

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Q: For the function f, given below, find the antiderivative F that satisfies F(1)= 0. f(x) = x° - 4x -…

A: The given function f(x)=x5-4x-3-4

Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: can you please and write and understand text

A: Apologies for the inconvenience. Here is the solution with improved explanation.    From the graph,…

Q: Find the derivative of the function y = xta{z) y =

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

A: see below the answer  and calculation

Q: - 5 2x +1 Calculate the derivative function of g(x) Write your result as a single fraction. g'(x) ||

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: Evaluate the double integral over the given region R. xy cos y dA R-1sx<1,0sysT R

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: 12x Find a power series for f(x) = |x| an. (x2 + 1)? n=1 -1 Hint: First, find the power series for…

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Q: The graph of the derivative f' of a function f is shown. y = f'(x) 2 4 6 (a) On what intervals is f…

A: Let's find.

Q: Find the derivative of the function y = (tan '(z) ). ช่ ||

A: To find the derivative of  y=(tan-1(x))23

Q: Let f(x) = cx3.4 and suppose that f(6) = 48. Find the value of c. (Round your answer to two decimal…

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

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…