(5) Determine if the alternating series converges Σ(-1)^n. 8 n=2

Q: Use l'Hopital's rule to find the limit. 7-7cos@ lim 0-0 sin 50 O 07/3 75 8 Previous

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Q: 3) Find the average value of the function f(x) = 5x+2 over the interval [0, 3].

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Q: (1) Find the summation of the series +++++

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Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

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Q: 3- Verify the MVT with f (x) = √7x, a=1 and b=16.

A: To verify the mean value theorem for the given function

Q: Let y = = (x³ - 7x) ¹(x) . Find dy/dx using the method of logarithmic differentiation. Answer:

A: Let's find dy/dx by using logarithmic differentiation.

Q: (5) For the nonhomogeneous equation x²y" - 4xy' + 6y = x³ the two linearly independent solutions to…

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Q: 8. 00 ro a. b. C. d. a 18€²-90€ +72=0 t²-5t + 4 = 0 18€²-4+ ++4=( e. Let s(t) = 6t³ - 45t² + 72t be…

A: (8) The position of particle is given as , st=6t3-45t2+72t

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 5ex,…

A: To find the equations of the tangent line and normal line to the curve at the given point.y=x4+5ex,…

Q: 2. Coefficients Linear in Two Variables (3x +2y + 7)dx+ (2x - y)dy=0

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Q: cab ride costs $1.70 plus $0.10 per tenth of a mile traveled if you use the Green Cab Company. The…

A: Given query is to find the distance when both company cost same.

Q: Remove arbitrary constant in the given relation. y = C1 + C₂ e -4x

A: The given function, y=c1+c2e-4x We have to eliminate the arbitrary constants.

Q: (a) F(t)=(2 sint)i + (2 cost)j from the point A(2, 0) to the point B(-2, 0)

A: To find the arc length of given function

Q: Find the value of 3 sin(2x) sin(x) dx.

A: Given query is to find the integral.

Q: 3. Use the Ratio Test to determine the convergence or divergence of the series. 00 n! a. En=0 3"

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Q: 2 32 4 5 Graph equations 1-4 on Desmos. Use the graph to complete the other parts of the table.…

A: We know that graph of y=ax2+bx+c is a parabola , it opens upward if a>0 and downward if a<0.…

Q: Find the relative rate of change of the following functions and evaluate them at the given values.…

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Q: Select the correct answer from each drop-down menu. The function y = sin³ is COS function, and the…

A: To determine whether the given functions are odd or even or neither

Q: 5. Show that the point (3,-) lies on the unit circle.

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Q: Find the value or values of c that satisfy the equation fb)-f(a) = f'(c) in the conclusion of the…

A: Here is the solution:

Q: Find the equation of the line tangent to the graph of f(x)=(lnx)5 at x=2. Answer in slope intercept…

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: Find the nth Taylor polynomial centered at c. f(x) = In(x), n = 4, c = 4 P4(x)

A: We have to find the nth Taylor polynomial centered at c  f(x) = ln(x), n = 4, c = 4

Q: Convert the angle -17 from degrees to radians. Answer with an exact value and not and approximation.…

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Q: The base of a right triangle is increasing at a rate of 3 meters per day and the height is…

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = xy. The directional…

A: To find the directional derivative of given function

Q: OBC is a right triangle with right angle C. this triangle base is on the positive x axis the vertex…

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Q: The graph of y = f(x) is shown below. -2 6 Find f f(x)dx. -4 02 y 4 2 -2 -4 0 2 f(x) 4 6 x

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

Q: Σ n=4 4η 2 3n” – 2n – 15

A: The given series is summation of 4n/(3n2-2n-15) , n from 4 to infinity.

Q: -4 3 3 - (²-4).M² - (²2).M - ( 1).M. M₂ = , M3 -4 ,M4 = 1 -4 -3 -2 Given Matrices: M₁ = and Vectors:…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Use simple area formulas from geometry to find the area function A(x) that gives the area between…

A: Given that: f(x)=20x+20

Q: Remove arbitrary constant in the given relation. y = Ae²x cos 3x + Be²x sin 3x

A: y=A e2xcos3x+Be2xsin3x Differentiate with respect to x:…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 2 x-intercepts…

A: Given: vertical asymptote at x = -1, x = 2 x-intercepts at (-2, 0) and (-3, 0) Horizontal asymptote…

Q: A manufacturer produces bolts of a fabric with a fixed width. A quantity g of this fabric (measured…

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Q: Solve the following first order Bernoulli differential equation. Show the outline of the solution…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Consider the angle t defined by on the unit circle. y TO IND (3) I

A: Consider the angle t defined by the point 35, 45 on the unit circle. To Find:1 sint=?2 cost=?3…

Q: 6. Given: lim [(x + 3)1/2/(4 - x)] as x approaches 6 7. lim[(4x2+7)/(2x2-3x + 5)] as x approaches…

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Q: Simplify the expression using only positive exponents: 24x7/2 25x 8x2/5 5

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

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Q: Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

A: volume of a sphere is defined as V=43πr3, where r is the radius of the sphere. For volume of…

Q: Transform the following differential equations to the standard form (dy/dx) + A(x)y = B(x) OR…

A: We can solve the given differential equation by using the integrating factor method.

Q: Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist,…

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

Q: Question 13 A company's revenue from selling x units of an item is given as R = 1400x – 3x². If…

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Q: Find the extreme values of the function and where they occur. None O Minimum value is at x = e¹/4;…

A: To find the extrem values of the following function and to determine where they occur.y=lnxx4

Q: Question 2 Consider the function f(x) = 2x+52-1. For this function there are four important open…

A: Given function y= f(x).

Q: (b) Ife is any angle, the value of a trigonometric function of is the same, except possibly for…

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Q: A spring has a natural length of 20 cm. A 40 N force is required to stretch the spring to a length…

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Q: 2 كل ك 0.5 , 3- = (f(x رشد -

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Q: 1. The total cost ($) incurred in producing z items is C(z)= 2500+300x -0.2x². What is the actual…

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