The limit lim X-8 √9x² – 1 3x − 6 Select one: O True O False = 1 Ignore "Give your reasons" below. There is no need to give a reason.

Q: 3. 00 Find the radius of convergence for Σ (5x) k=1 (a) (c) 5 1|5 (b) 1 (d) 0

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Q: A constant volume of cookie dough is formed into a cylinder with a relatively small height and large…

A: We know  Volume of cylinder=πr2h r=radius of cylinder h=height of cylinder

Q: x+y+z = -3 -7 2x - 2y-z = −7 -3x + y + 5z = 5

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Q: Find the following using the table below. X 1 2 3 4 f(x) 13 2 4 f'(x) 1 3 4 2 g(x) 2 4 3 1 g'(x) 2 3…

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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: 34. S₁ x sin x cos x dx

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Q: Find the exact sum of Σ n=1 2 4n? -1

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Q: f(x)-f(a) x-a a. Use the definition man b. Determine an equation of the tangent line at P. c. Plot…

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Q: Let Give the 2,1 entry of 4-¹. a) 0-¹ b) 0¹/2 c) 03/2 d) 0-5 e) 0-2 f) O None of the above. 02 2 A-1…

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Q: -G) ¹ + ¹ +)* 3 2 (f)_7(t)=e¹i+e¹j+t√2k for 0≤t≤1 (e) r(t)= k for 0≤t≤1

A: (e).The given vector function is:r→(t)=t33i→+t22j→+12k→          for   0≤t≤1

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: figure:-

Q: Which of the following integral will give the volume of a solid produced if the region bounded by X=…

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Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Suppose f(x) = 3x + 4. Then the inverse of fis given by ƒ-¹(x) = Moreover, ƒ'(x) = ₁ and (ƒ−¹)'(x)…

A: we need to find out the inverse of the function.

Q: A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each…

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Q: Calculate all four second-order partial derivatives of f(x,y) = 5x²y + 3xy³. fxx (x, y) = = fxy(x,…

A: Given, f(x,y)=5x2y+3xy3

Q: 3. f cos¹ 20d0

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Q: Problem 10. (a) an = n³ n³+1 Determine whether the sequence converges or diverges. (ln(n))² (c) cn =…

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Q: 16. Determine lim f(x) if the given function is x→2 f(x) = 2.², 82r, if if x 2 x

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Q: State where the power series is centered. Σ (−1)^(x – 4a)5n (5n)! n = 0 Need Help? Watch It

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

A: Solution : Given that

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: Consider the following. 3(1 + 104x) = 8 (a) Find the exact solution of the exponential equation in…

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Q: Hence construct explicitly a decreasing differentiable function g(x) such that lim g(x) = 0 lim…

A: We are assuming a function g(x) which is a differentiable function even at x -> +∞ If a function…

Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

A: Note: Since the student has posted multiple questions and does not mention any specific question, so…

Q: Hello, please show all the work. Thank you

A: We will find the required radius of convergence and interval of convergence .

Q: (4) Determine if the alternating series converges ∞ Σ(-1)" sin t . n n=2

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 2x² + 4y² = 24

A: To find the maximum and minimum values of the function fx, y=x2y subject to 2x2+4y2=24.

Q: -5 -4 3 3 2 - (1. 4.). M² - (2, ²).M - (1) M-C = , M3 -4 2-4 -3 -2 -1 Given Matrices:M₁ = and…

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Q: Give the standard equation of the circle satisfying the given conditions a.) Center 1,5 diameter 8…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: (3) Use the Comparison Test to determine if the series is convergent. ∞ sin n n² + 2 n=0

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Q: Identify the directions field that corresponds to the following day equation y’ = y^2

A: Identify the directions field that corresponds to the following day equation y’ = y^2

Q: (6) Determine if the alternating series converges Σ(-1)"+1. ∞ n=2

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Q: Represent f(x) = cosx. as the sum of its Taylor series centered at π/6.

A: we will find the required taylor series .

Q: 26. tan ³0 sec ³0 de

A: Topic = Integration

Q: 4. Y 4. y. 34-46 where

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Q: 36. x3 x³ - 11x - 26 x²2x-8 [²0 dx

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

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Q: Fill in the missing values to make the equations true. (a) log, 7 - log, 8 = log, (b) log, 11 + log,…

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Q: Consider the function f(x)= 2x-3 x-1 1. f(x) has a horizontal asymptote at y = 2. f(x) has a…

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Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

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Q: Convert the angle degrees. 4T —— 5 from radians to

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Q: Find the values of for which the determinant is zero. (Enter your answers as a comma-separated…

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Q: Crystal is running a picture-framing business. Refer to the given break-even chart for her business…

A: The Solution is given below:

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: 3t² + t 3 t→→∞ t³ - 4t + 1 11. lim r - p³ r→∞ 2 - r² + 3r³ 13. lim

A: see below the answer and explanation

Q: Use a trigonometric identity to evaluate the integral. [tan²(x) dx = +C

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Q: b. For the cylindrical shells method, consider the region bound by y = √r² — x² in the first…

A: Given figure:-

Q: 8. Find the slope of the tangent line to the parametric curve x = 4 cos(t), y = 3 sin(t) when t=…

A: