1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, converges (C) n=1

Q: Find the solution to the differential equation dz 2te12 dt that passes through the origin.

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Q: 1. dr (3r + 1)2 1.

A: The given question can be solved as shown in step2.

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

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Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: As you know, when a course ends, students start to forget the material they have learned. One model ...

A: The first thing you need to do is set up the problem relating the change in y to the quantities y,a,...

Q: dx 2+x?

A: Given, ∫dx2+x2 We have to integrate it.  

Q: What is the volume of a cylinder

A: volume of a cylinder

Q: Before starting your studies at EHL, you need to buy new suits. Each suit is made of a jacket, a tro...

A: According to given, Total purchase= 450+560+180+240+290+85+89+96+92= 2082 Since the purchase price &...

Q: QI/Correct the following items, enhance your answer with a mathematical proof for each item. 1- cosh...

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Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:...

Q: Find the area of the given region using any method. 1 y = 9 - x2 y 1.5 1.0 0.5 -1 1 -0.5

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Q: A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain...

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Q: x² + y² = (3x² + 2y² – x)², (cardioid) 0, y 0.5 -0.5 0.5 1 -0.5

A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

Q: If f(r) is positive then for all 1 <I<2, we have So f(z) dz 7. Select one: O True O False

A: If f(x) is positive then for all 1≤x≤2, we have ∫07f(x) dx≥7

Q: tan(tan 3x)dx cos? 3xl

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Q: Complete the table. h(t) |t + 4| t -5 -4 -3 -2 -1 h(t)

A: The given function is: h(t)=12t+4 which is a modulus funtion.

Q: dy A-Find of the following: dx tan(5u) (1 + 2u)³ , u x. sin(x).csc(x) y = U = e4u

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Q: A5.5-foot-tall woman walks at 4 ft/s toward a street light that is 16,5 ft above the ground, What is...

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Q: х-2 Determine lim x→2- 2-V4x-x²°

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Q: -5 -4 -3 -2 -1 2 3 4 5 -1 -3 17x the above rational function f( x ) = identify its three infle 1.5x2...

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Q: Q2: Use Cramer's Rule to solve the system:- 4х — у +z%3D-5 2x + 2y + 3z = 10 5х — 2у + 6z 3 1

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Given a function whose graph is shown below. The function is continuous on(-1,0]. 14 O Always True O...

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Q: The polar coordinates of a point are given. Plot the point. (2, x/2) y

A: Given,           The polar coordinates of a point is 2,π2.To find : The corresponding rectangular co...

Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges...

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Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

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Q: Let y = - ty + 0.ly and y(0) = 0.77. Use Euler's method to find approximate values of the solution o...

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Q: Solve for t e2t+ 4et + 4= 0 e2−4t + 5 = 20

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Q: c.Find the first four non zero terms of the Maclaurin Series for the given functions. Write the powe...

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Q: DO NOT include spaces in between characters. * Determine the point/s of discontinuity, if there is a...

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Q: 181?action=Donresume&submissi G(x) = tan t dt. %3D G (1)=| G' (0) %3D G' (주) =

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Q: -5 1 -2 0 3 4 12 -1 3 B| Find AB for : A = |1 B = 5 4

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Q: Evaluate the function for the indicated values. f(x) = 6|||| + 3 (a) f(0) (b) f(-2.8) (c) f(4) (d) F...

A: f(x)=6x+3a) For x=0f(0)=60+3f(0)=6(0)+3f(0)=3b) For x=-2.8f(-2.8)=6-2.8+3f(-2.8)=6[2.8]+3f(-2.8)=6(2...

Q: k. Evaluete the given limib

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Q: Which of the following is an antiderivative of f(x)= x-3 + 3e6z ? Select one: O F(x) = 긍x2+ O None. ...

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Q: Does the series converge or diverge? n=1 (In 1.5)"

A: We will use ratio test to find convergency.

Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: Consider the following functions. f(x) g(x) = 3x + 9 Find (fo g)(x). Find the domain of (fo g)(x). (...

A: Here f(x)=2/x and g(x)=3x+9 (1) (fog)(x)=f(g(x))              =f(3x+9)              =2/(3x+9) The fu...

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

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Q: 1. Kgothatso showed her classmates that dx%3D (x- 1) Without showing Kgothatso how you would evaluat...

A: 1.AgreeGiven Integral can be evaluated with the formula :∫yndy =yn+1n+1here y =x-1 , n=-23   

Q: Solve the following differential equations of Dyy = 2 y-x; 2- yy+ %3D

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: Suppose f'(x) is continuous over an interval a < a < b, and a <c <d < b. If f'(c) = 9, then (check a...

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Q: Find the differential of the function. et e - 2 dy =

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Q: 2x + 6 Consider the function f(x) = For this function there are two important intervals: (– 0, A | 6...

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Q: Evaluate the function for the given values. h(x) = [[x + 6 ] %3D (a) h(-5) (b) hG) 2 (c) h(4.6) (d) ...

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Q: Find the shortest distance from the point (2,0,–3) to the plane x +y + z = 1.

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Q: メク-2x dx メナをメ

A: ∫x3-2xx3+xdx