If lim a = 0, then which of the following holds? 11-00 A) The series B) The series Σ(-1)" a" converges. n=1 n converges. C) If a, converges, then it converges absolutely. n=1 D) The sequence of partial sums of a, is bounded.

Q: Suppose that f(x) 13x - 3 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Here we have to apply the application of differentiation.

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A: Please see the below answer.

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A: Given query is to find the value of the integral.

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A: A car starts driving north 30 miles per hour from station A.  Two hours later, a truck starts…

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Q: 2x²+2x+3 Consider the function y= 4x²-4x (a) To use a limit and find its horizontal asymptote what…

A: We have to find out the horizontal asymptote by the use of limits.

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A: Given, Rt=30,000e0.03t

Q: Solve the triangle. a = 65, b=21, c = 52 ... 4 C≈ B A $0° (Do not round until the final answer. Then…

A: The given data is: a=65b=21c=52  Solve the triangle.

Q: Use the Laplace transform to solve the given integral equation. 8 -35 / (T - t) ³F(t) dr f(t) = 1 +…

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Q: Suppose that f(x) . (If an answer does not exist, enter DNE.) (a) Find all partition numbers of…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Consider the graph of a function f on the interval [0,4]. y 10 8- 6+ 4 2 0 1 2 3 4 -X. Identify all…

A: 1) It is given that the graph of the function f on the interval 0,4. It is known that x=c is a…

Q: +P от 2+1дет акт гр

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Q: integrate using MISCELLANEOUS SUBSTITUTION H 3x+2 1+√√3x +2 1

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" + y = f(t), y(0) = 0,…

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Q: an+1 or a sequence {a} satisfying →>> an Σ4" an A) n=1 converges. Σ4" an B) =1 ∞ Σ6" an C) n=1 Σ6"…

A: we will find the required.

Q: Q[14] (*): Find the values of the constants a and b for which cos(x) x 0 is differentiable…

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Q: Concave down. (Enter your answer using in n points of f(x). (Enter your answers as a

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Q: Use the binomial series to find the Maclaurin series for the function. 1 (1+x)4 f(x) = = Σ n = 0…

A: The given function is: fx=11+x4fx=1+x-4  Use the binomial series to find the Maclaurin series for…

Q: dw Use the Chain Rule to find &#: w = xysinz; Dx = xet, yet, zzaresin 2

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A: The given function is: gx=160+8x3+x4  Find the inflection point.

Q: - y² = 4 in the first quadrant.

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Q: How do you find these?

A: Here we have to find the extrema of the given functions.

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Q: Find the general solution of the given differential equation. y'' + 18y' + 81y = t−2e−9t,   t > 0

A: Given

Q: Differentiate the function f. Use the form f'(x) = f(x) = 9x² + x + 8 f'(x) = = lim h→0 f(x +h)-f(x)…

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Q: Write an integral that represents the area of the shaded region of the figure. Do not evaluate the…

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A: Given, C=5x2+4xy+7y2+1000 ⋯⋯⋯⋯⋯⋯ 1 where, C is total cost in dollars. x units of one item. y units…

Q: 5. Find the maximum height above the x-axis of the polar curve r = 2+2 cos(0).

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Q: The base of a certain solid is an elliptical region with boundary curve 9x² + 16y² = 144.…

A: Given, The base of a certain solid is an elliptical region with the equation 9x2+16y2=144 Cross…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: The solution is shown below-

Q: Suppose sin x = Then COS X tan x 36 85 and is an angle in Quadrant 4.

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Q: Write the arithmetic sequence -14, -23, -32, -41, ... in the standard form: an = Submit Question

A: Given: Arithmetic sequence -14, -23, -32, -41, ...

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Q: If f(x, y) af (0,1)= ду = cos(2xy) + sin(2xy) then

A: As we know that, The Chain Rule: fgx'=f'gx·g'x The Power Rule: ddxxn=nxn-1 Use the common…

Q: The graph f(t) is given in the figure. Represent f(t) using a combination of heaviside step…

A: see below the answer and explanation

Q: 9

A: Given: In order for a matrix B to be the inverse of A, both equations AB=I and BA=I must be true.

Q: 8.) Find the general antiderivative for each of the following functions: a.) f(x) = 3x² + b.)…

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Q: 10 1 1 1 [1 0 0 1

A: As per our guidelines we only solve one question and rest of the question will be reposted.…

Q: At what point on the curve  y = 8 + 2ex − 4x  is the tangent line parallel to the line  4x − y =…

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Q: The elasticity of demand for x = f(p) = 1,875 - p² when p = 40 is Banco de palabras: inelastic…

A: we will find the required.