Solve the two (the first one using integration by partial fraction and the second using integration by parts)

Q: Find the area of the graph enclosed by y=7x and y=4x2

A: Given:     Curves y=7x                 y=4x2 The area between the curves is the area between a curve…

Q: Find the area A of the sector shown in each figure. (a) A = (b) A = 61 ° 3 0.3 rad 10

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Q: Find the time required for an investment of 5000 dollars to grow to 8100 dollars at an interest rate…

A: Topic:- application of algebra

Q: Evaluate each logarithm using properties of logarithms and the following facts. log (x) = = 3.7 log₂…

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Q: Expand, that is, perform the indicated operations on the differential operator D 1. (2D+3)(D-5)

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Q: 2. Find each indefinite integral. Show all steps. a) [ sin² (6t) - cos5 (6t)dt

A: according to bartleby guide line we do only first part of multiple , please repost other part in…

Q: Find the general solution for the differential equation. dy 2-10xy-5x = 0 dx

A: To solve the given differential equation

Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: 2. Find a and b so that y = x³ + ax² + b will have a relative extremum at (2,3).

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Q: Question 3 What is the form of the particular solutiony for the differential equation y"-y= R(x)…

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Q: == √5 sec8 8=

A: To label the three sides of this triangle and find the value of 'θ' according to the given equation.…

Q: Problem 5: Find the two points on the curve y = 2x² that are closest to the origin. (Explain why x =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the given function is a…

Q: C [² (₁²- Jo (u² - 2u) du

A: Solution : Given that integral is

Q: For f(x, y) = e6r+17y, find the second on O ex+17y and e6x+17y O 36 e6+17y and 289 e6r+17y O 36…

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Q: Determine whether the series converges or diverges: Input C for convergence and D for divergence:…

A: The answer is given below:

Q: 4. Prove Theorem 7.5, the formula for the area of a trapezoid. [Hint: For a clever ap- proach that…

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: The figure below shows the derivative F' of F. Let F (0) = 0. F'(1) ਜਿਹ 8 + 2 4 6 Of the four…

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Q: Consider the function f(x) = x²e8 f(x) has two inflection points at x = C and x = D with C<D where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A firework rocket that is sitting on a ledge is launched vertically upward. The image attached shows…

A: We need to solve quadratic model equation.

Q: Let f(x): = 9 if x mx - I 7 7 If f(x) is a function which is continuous everywhere, then we must…

A: f(x) is continuous at x=a iff limx-&gt;a-f(x)=limx-&gt;a+f(x) Here f(x) is continuous everywhere…

Q: C. (ve + √2 )2n n=1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the convergence or the divergence of the series: Σ2inn n=1

A: Given function, ∑n=1∞ 2lnn

Q: Solve the Differential Equation using different methods  y'=x-4yx

A: We need to solve D.E.

Q: Given f'(x) = 3x4 - 4x³ + 7. Determine which interval the graph of f is concave upward. (a.) x > 0…

A: To determine the interval where the graph of f is concave upward

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: Suppose f(x) is continuous on [2, 7] and -3 ≤ f'(x) ≤ 3 for all æ in (2, 7). Use the Mean Value…

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Q: em by insp

A: Given:   The initial value problem is (D2+2D-3)y=12    and y(0)=1 and y'(0)=3

Q: Determine whether the series converges or diverges: Input C for convergence and D for divergence: Že…

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Q: Determine the slope of the tangent line at t = 1 to the curve defined parametrically by the…

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Q: X The quadric surfaces 2y = x² and 4z = x² - y² intersect in a curve. Parametrize this curve. (One…

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Q: Find the area of the region between the curves y = ³ and y = 8x - 2x².

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Q: Consider the following initial value problem, defined for t > 0: dy dt a. Find the Laplace transform…

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Q: Find the general solution. When the operator D is used, it is implied that the independent variable…

A: We have to find the general solution for the given differential equation.…

Q: Evaluate the indefinite integral. Use C for the constant of integration. S sin (+) √ 1 + cos(+) d+

A: Find the indefinite integral

Q: 4. y(2xy² − 3) dx + (3x²y² − 3x + 4y) dy = 0

A: Given differential equation y( 2xy2 - 3 )dx + ( 3x2y2 - 3x + 4y )dy = 0 standard form Mdx + Ndy = 0

Q: Determine whether the following series converges or diverges. Input C for convergence and D for…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Question Determine the integral that can be used to find the arc length of the curve defined by the…

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Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: Given f(x) = ax³ + bx. Find a so that f has a relative extremum value (d.) 17/06 at (2,-1). (a.)…

A: Given:      fx=ax3+bx Relative extremum value at 2,-1 To be a relative extremum, f'x=0 For the value…

Q: Find a function f such that the slope of the tangent line at a point (x, y) on the curve y = f(x) is…

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Q: Solve the FIRST ORDER LINEAR D Linear in r sin e dr de -1 - 2rcos 8

A: We have to solve  thegiven   First order linear differential equation  which is linear in r.

Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx

Q: Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y=x² and the…

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Q: dy Find L y = ln (2²+4) + + Icos HIN

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Q: Sketch the graph of y = x³ - 6x² + 9x + 1 by first finding the following a) the intervals on which y…

A: Given :   find first derivative  equate to zero to find critical point

Q: ← For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: A ball thrown in the air has a velocity of v(t) = 98 32t ft/sec at time t seconds. Find the total…

A: given velocity is  v(t)=98-32t   given  t=1 to t=8 formula used is  v(t)=ds(t)dt∫xndx=xn+1n+1+c

Q: Determine the values of where the function f (x) is not continuous. Label each discontinuity as…

A: Given Functionfx = x3+5x≤3x+3x&gt;3