Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. NOTE: Enter the exact answer as improper fraction if necessary. 1 64k2 + 48k – 7 k= | ||

Q: 3 lim tan³ 2x x→0

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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A: The given limit limx,y→0,0x2-4y2x2+2y2

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Q: 1 3. lim x0 1-cos x =too -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x)

A: Let's find. 

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Q: In Exercises 9-26, find fx, fy, fx, fyy, fry and fyx- 9. f(x, y) = x²y + 3x + 4y – 5 10. f(x, y) = y...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: sinh(2 In(c)) = (A) 를 + (B) c² – (C)를 높 2c 1 2c2 (D) c -! 1 (E) 0

A: Topic = Functions

Q: In Exercises 35-46, find the intervals on which f is concave up or down, the points of inflection, t...

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Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). x In y + 6y = 3x ] y'l(-2.1)...

A: This question is related to differetiation. solve in step 2

Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

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Q: Use the Simpson's Rule to approximate the given integral with n= 8. (Find Ss.) Round your answers to...

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Q: hi

A: 1232Now,32 = 2×2×2×2×2 =4×4×232 = 4×4×2 = 42

Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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Q: (a) Find the point of intersection of the tangent lines to the curve r(e) = (5 sin(at), 6 sin(æt), 4...

A: Given:   r(t) = ⟨ 5 sinπt , 6 sinπt , 4 cosπt ⟩    When t = 0 and t = 0.5

Q: Evalvate the limit lim Cosx In(x- In

A: Given that: limx→π+cosx.ln(x-π)ln(ex-eπ)

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Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to th...

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Q: The line tangent to the graph of g(z) =z- 4z +1 at the point (2, 1) is given by the formula L(z) = 8...

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Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital Rulelimx→-13x2+4x+14x-1=3(-1)2+4(-1)+14(-1)-1=3-4+1-4-1=-1...

Q: Use Integration by parts to aompute the ntegral from! (4x)dx and 3 Inxdx

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Q: Graph of polynomial f(x)

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: The measure of each interior angle of a regular hexagon is

A: Measure of interior angle of regular hexagon

Q: Determine whether each integral is convergent or divergent. Evaluate those that are converg 1 9. d.x...

A: If limit of improper integral is given and is finite, Then it will converge.

Q: In Exercises 11-18: (a) Find the domain D of the given function. (b) State whether D is an open or c...

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Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

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Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at x...

A: Topic = Functions

Q: 7. Find T, N, ar, an at t=n. r(1) = 4cos(1)i–4sin(r)j-3rk

A: Tt = r'(t)r'(t) and N(t) = T'(t)T'(t) aT = r'(t) .r''(t)r'(t) and aN = r'(t)×r''(t)r'(t)

Q: 3. lim f(x) = -2, 4. lim f(x) = +00, X-2- lim, f(x) = 2 and f(2) = 0 lim 1437(x) = -0

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Q: SITUATION A. For the given DE, (xy+.x- 2y +3)dx +2(x*y – 2x- 2y)dy = 0 1. Solve for the partial of f...

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Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: /1+x-1 lim 1-0 V4 - a - v4- x2

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Q: Identify the quadric surface each of the following equations represent and sketch its graph in a dra...

A: The objective is to Identify the quadric surface and sketch it's graph.

Q: Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notatio...

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Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 eY =x2 -y? %3D y' =] y'l(3....

A: topic - implicit differentiation

Q: an be sold at a price of Sp. For x-p"-7p+600, find the rate of change of p with respect t ...

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Q: 6x+5x-1 lim X--1 7x-2

A: Topic = Limits

Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (b)  ...

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Q: Can you please help with the assignment questions. Thank you

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Q: The graph of fis given. State the numbers at which f is not differentiable. (Enter your answers as a...

A: If there is a sharp point at x=a on the graph , then function is not differentiable at x=a. If funct...

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. ...

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