Use the limit comparison test to determine whether the series converges. 2 3k + 4 The series

Q: 2. Let R(t) = }sin 4t î – bcos“(21) j + 2t Ř. Find the moving %3D trihedral of the curve of R(t) at ...

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Q: How fast is the volume V of a rectangular box changing when its length L is 10 ft. and increasing at...

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Q: 4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e %3D 5. (x2 - 1) dy = ...

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Q: y = V(4x + 3)³

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Q: Let the random variable X be the number of days that a certain patient needs to be in the hospital. ...

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Q: y = tan-x +1

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Q: &r4- V Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal plac...

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Q: Find the exact value of each expression (enter answers in radians). sec-1(2/sqrt(3)

A: let x=sec-123secx=231cosx=23Taking reciprocal on both sidecosx=32   we know thatcosπ6=32  ⇒π6=cos-13...

Q: sin4 Ce3x)

A: Solve by integration

Q: Solve the problem. Show illustrations. Find the dimensions of the right circular cone of greatest la...

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Q: y = e2x+1

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Q: S 3x f"(x) dx 48 42 36 NONE OF THE CHOICES о

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Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: This question is related to limits,  we will solve it using given information 

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x³ - 3x? + 4x- 12 2...

A: y = x3 - 3x2 + 4x - 12y = x2(x -3) + 4(x - 3)y = (x2+4)(x - 3)   X-intercept: (3, 0)    [Real values...

Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: y 7. 5+ y = g(x) 4- 3- 2- 1. X- 1 2 3 4 5 6 7 The figure above shows the graph of the differentiable...

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Q: d/dx[(x2 + 5)(x³ - 7) = 5x4 -15x2 + 14x Select one: O True O False 1 1 d/dx(I + Select one: O True O...

A: See the details solution in below

Q: At sues pizza they sell a large pizza for $8.25 and charge $1.50 for each topping. write an equation...

A: We can find and justify the answer as below.

Q: Gamma Functron 11 Find (5. 2) Answer: 32.5781. r (4.5) P (4i5) - 0.06 0:10537 1.6317

A: We have to calculate gamma function

Q: All functions with trigonometric functions are integrable

A: Given All functions with trigonometric functions are integrable. 

Q: x + 3x – 1 lim V4r6 – 2x エ→ーx 2.r

A: We have to find limit

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 3x)1, (0, 1)

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Q: 10111111110 110101

A: Solution is 10011110110010110

Q: Find ??/?? using the appropriate Chain Rule w = ln y/x; x cos t; y = sin t

A: Use chain rule.

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

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Q: In(x) f f(x) = x10 ='(1) = 2, find f '(1). %3D

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Q: Find 02/ay and az az 02/ax of the following function: z = x³ev* + y5 In(2x + y)

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Q: The region bounded by f(x) = - 1la + 6x + 27, a = 0, and y 0 is rotated about the y-axis. Find %3D %...

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Q: Find the exact value of: sin-1 (-) %3D %3D %3D 11

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Q: Name and graph the following quadratic surface. 9x2 + 4z2 – 36y = 0

A: For (b) Sketch of z=9-x2-y2: The graph is a paraboloid.

Q: र्® 5x

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Q: Find मिव x) e -e e* + eX

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Q: Use any method to determine whether the series converge. 1 (a) E + 14k + 1 This series diverges. k=1...

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Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and wh...

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Q: 98% 10:05 PM Sun Feb 27 webassign.net Need Help? Watch It Read It MY NOTES ASK YOU Find the limit. U...

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Q: The total area of a cylinder of revolution is 100pi sq. ft. and the radius of the base is 5 ft. find...

A: We can find the altitude as below and verify the answer given as below.

Q: Sin x y = 2+Cos x

A: Given, y=sinx2+cosx We have to find the derivative of the above function.  

Q: A weight is hanging at rest from a spring. It is pulled down 6 cm. and released at time 0 second. As...

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Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y = Illus...

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Q: Verify each differentiation formula d -u (a) [Arccos(u)] = dx V1-u? (b)(Arccot(u)] = d -u dx 1+u² -u...

A: As per the instruction, we will be answering the first one. For (1), For (a), arccosu' =-11-u2×u'   ...

Q: Discuss the continuity of the function: x² + 2x-4 x -2

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Q: SOve the inequality x²34-10 LO X-4 using the test-point method. Express your answer in interlai nota...

A: x2-3x-10x-4<0⇒x+2x-5x-4<0⇒x<-2  or   4<x<5⇒Solution:  x<-2  or   4<x<5  Inte...

Q: b. ) Finding an interest rate: Suppose you invest J$ 150,000 in a special 5 year savings account wit...

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Q: Let f(x) = -a – 5x + 9x + 2. Find the open intervals on which f is concave up (down). Then determine...

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Q: dy 2х dx e2y

A: Follow the procedure given below.

Q: If f and g are continuous function of X, which of the following is true? )dx =D| (x) dx B dx3D 8(x) ...

A: Given :

Q: Find the angle between the vectors a = (4, 4, -2) and b = (5, -3, 3). Solution Since |al = V42 + 42 ...

A: Given:    a=4,4,-2    b=5,-3,3 The angle between two vectors is given by           cosθ=a·bab

Q: x+2 3. y = ( X-2 at x = 1

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Q: V1-x? 1 x2 + 1 1 X.

A: Follow the procedure given below.