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Q: Determine whether the follwing series converges or diverges. n° + 5 00 n7 n=1 Input C for convergenc...

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Q: Evaluate the definite integral. In 3 6e-X cosh x dx

A: Given integral is- I=∫0ln36e-xcoshxdx where coshx=ex+e-x2 Thus,  I=∫0ln36e-xex+e-x2dx=∫0ln33e-x.ex+e...

Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fenci...

A: Fencing = 76m, Since, perimeter of the given rectangle=2x+y and, fencing = perimeter Then, 2x+y=76.....

Q: What is the domain and end points of C(x)=-800000/x^2+0.0005?

A: We are given the function C(x)=-800000x2+0.0005. The domain of a function is the set of input or arg...

Q: Setup and evaluate a definite integral to find the exact area below y = f(x) = -a² – 17x – 60 and ab...

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Q: Find the exact values of x and r. (x, r) =      134​, √2

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Q: Find the antiderivative of f(x)= x^3 - 6x + 7

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 8" + 1 + 1 n...

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Q: Evaluate the following definite integral with the given limits of integration and provide the EXACT ...

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Q: The region W is the cone shown below. The angle at the vertex is π/3, and the top is flat and at a h...

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Q: Solve the triangle shown to the right. 100 a 60° 6 (Simplify your answer.) (Type an integer or decim...

A: sum of the angle of the triangle = 180  by sine formula we can calculate side a and b  

Q: find the solution that satisfies the given initial condition

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Q: Find a particular solution to the following: F(x)= [(8x* +2x dx where F(1)= 3 2.

A: The objective is to find the particular solution for the given

Q: Pls help on this question ASAP. Please help on all parts.

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Q: Integrate dx/a^2+(x+b)^2

A: Take the substitution that x+b=t.

Q: 1. The graph of y = f(r) on the interval -3 <r < 3 is shown. Define F(r) f(t)dt. Evaluate the follow...

A: Given :  fx on the interval -3 ≤ x ≤ 3 and  Fx = ∫-1xftdt Solution :  ⇒F-3 = ∫-1-3f(t)dt⇒F-3 = -∫-3-...

Q: 28. Which of the following series converge for all values of x ? (Hint: You don't need to work them ...

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Q: Evaluate the following indefinite integral: (Hint: multiply and rewrite integrand first) Provide ans...

A: Solve

Q: Please see attached. Thank you!

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Q: What is integral calculus

A: Our Aim is to define Integral Calculus.

Q: please answer in full steps

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Q: Evaluate the definite integral. sech2(8x – 1) dx 1/8

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Q: 24 Assuming that sin u = and sin v = 25 and that u and v are between 0 and 25 evaluate cos (u +v) ex...

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Q: Please answer part c and d

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Q: Find dy/dx using logarithmic differentiation: y = [sin(x)]^ln(x)

A: Consider the given equation y=sin (x)ln(x) Take natural log both sides and use the exponent property...

Q: Using substitution, determine the area under the following function from x = 0 to x = 3 Express your...

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Q: Please answer all parts

A: Distance position and acceleration

Q: Question 54

A: Given. 54) f(x)=3-2x2+x3,[a,b]=[-1,1]

Q: Calculate the integral, assuming that f(x) dx = -1, fo f(x)dx = 3, f* f(x) dx = 9. (Use symbolic not...

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Q: Find the mode, median, and mean of the scores. (If there is no mode, enter NON 6.05, 5.01, 5.14, 6.5...

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Q: A water tank takes the shape of an inverted cone. The tank has a height of8m and a base radius of 3m...

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Q: Use the tax brackets and rates to compute the federal tax for Jim, who is declaring taxable income o...

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Q: Retirement Christine contributes $100 each month to her401(k). What will be the value of Christine’s...

A: Use the formula to calculate the total amount when it is compounded monthly.

Q: Find dy/dx and d2y/dx2. x = 8? + cos ?,    y = 9? − sin ?

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Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Simplify. - cos (u - v) cos v + sin (u - v) sin v cos (u - v) cosv + sin (u - v) sin v =| (Simplify ...

A: This question is related to trigonometry.

Q: Let F(x) =760e-X7 and 760€ grx) that frx) and grx) = -71nrx/760 Show -7ln(x/760). Show %D grxd are i...

A: hello greetings from chegg.i am here to help you.

Q: Find the characteristic polynomial of the matrix -3 1 A = -3 -1 -3 -4 p(x) =

A: A=-3    1    0  0 -3 -1-3 -4    0 Now, A-xI=-3    1    0  0 -3 -1-3 -4    0-x100010001=-3    1    0 ...

Q: Evaluate the finite sum, where N is a positive integer constant. k N4 k=1 100 N2 N + 1 2N3 O N N 2

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Q: Calculus Question

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Q: The area of the surface obtained by rotating the curve y = 22 x + 1, 0 < x < 44 about the x-axis is

A: Consider the given curve. y=22x+1 in the interval 0≤x≤44 The problem requires to find the area of th...

Q: Please answer part a and b

A: Given that velocity of a particle by v(t)=3tCos(t) , to find the acceleration and total distance. 

Q: Find ∫??−1???∫ex−1xdx

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Q: Find the area of the region enclosed by the inner loop of the curve. r = 6 + 12 sin(0)

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Q: Two cyclists, 108 miles apart, start riding toward each other at the same time. One cycles 2 times a...

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Q: Consider the series 00 3"+2 8" n=1 Determine whether the series converges, and if it converges, dete...

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Q: Evaluate the definite integral. csch(7x - 8) coth(7x 8) dx |

A: First I have made substitution so that integral become easy and then solve them.I have given detaile...

Q: Let f(x) = x2 – 8x – 9 and F(x) = f(t) dt. Find the critical points of F and determine whether they ...

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Q: I need step by step for 2,3,4,5,6,7,8 and 9

A: Since you have posted multiple questions, we will only solve first three questions as per our guidel...

Q: The area of the surface obtained by rotating the curve y = 22 x + 1 , 0 < x < 44 about the x-axis is

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