F(n) Σ-1)", n3n n=1

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: The following formula gives the probability of being dealt a full house (three cards of one kind and...

A: topic- permutation and combination

Q: Convert the point (-1,-V3) from Cartesian to polar coordinates. A) (-2,) B) (2.). c) (-2, ). D) (2,)...

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Q: Let R be the region in the half plane x 2 0 bounded by the curves y=-5x + 5 y = x2 - 1 *= 0 Compute ...

A: Solution

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 2 tan (4x – 1) – 3 cos?(4x – 1) cos (4x – 1) If we let u= 4x - 1 for the integral of dx, what will b...

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Q: Let , be a series with partial sums Sy. If a-fn), where f(x) Time ieft continuous, and decreasing fu...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n? + 8n +7 а, —...

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Q: Evaluate

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Q: Consider the improper integral dx . What is the appropriate solution and answer x2 + 2x +2 A lim Arc...

A: We can solve given problem as follows

Q: The figure below shows a sector of a circle with central angle 0. Let A(0) be the area of the segmen...

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Q: n i Evaluate lim ze/n², i=1

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: An observer is standing in a lighthouse 96 feet above the level of the water. The angle of depressio...

A: An observer standing at a height of 96ft on a light house  The angle of depression of the buoy is 22...

Q: Find dy. y%3Dyx+4

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Q: dx (c) x² /4 – x2

A: Please see the below picture for detailed solution. 

Q: A rectangular plot of farmland will be bounded on one side by dimensions? river and on the other thr...

A:  We need to find area and dimensions.

Q: 19. If 30 Ib of rice and 20 lb of potatoes cost $23.40, and 20 lb of rice and 12 lb of potatoes cost...

A: This question is based on elimination of one variable.

Q: A DJ is preparing a playlist of 17 songs. How many different ways can the DJ arrange the first six s...

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Q: Assume E , is an infinite series with partial sums given by Sy 4 What is a,? A) B) C C) D) None of t...

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Q: a) Find the arc length function s(t) for the line segment given by r(t) = (3 – 3t) i +4t j, 0st<1 b)...

A: Answer: The solution is as follows:

Q: Numeracy 2. A function of n variables f(x), where x (I1.....In), is said to be homogeneous of degree...

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Q: The shaded region in the figure is bounded by the graph the lines x = -7, x = 7, and y = 2 and the c...

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Q: Use Gauss' Divergent Theorem to calculate F. dS, where F = (2x + sen (e+1)) i+ 3yj+ cos(z?)k and S i...

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Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =...

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Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bombard...

A: Given query is to find the age of the parchment.

Q: The derivative of f(g(x)) equals f'(x) evaluated at multiplied by g'ʻ(x) evaluated at g(x) g'(x) f(x...

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Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(6,-5) sin = (6√61...

A: Please see the below picture for detailed solution. 

Q: Use the method of your choice to determine the probability below. Three rainy days in a row when the...

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Q: Write the improper integral as a limit of definite integrals, or as a sum of limits of definite inte...

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Q: dx = 5x - 3y dt dy - 2x - 14y dt It is converted into the matrix (we will talk about this in lesson ...

A: Let's find.

Q: Find the average rate of change of g(x) = 2x° – 4 from x = - 1 to x = 3 -

A: This question is based on average rate of change of function.

Q: Find the average rate of change of f(x) = 9x² – 6 on the interval [5, t]. Your answer will be an exp...

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Q: is

A: We will find the derivative using quotient rule. 

Q: Which of the following statements is true? The sequence {ln(n)}, is bounded, monotonic and converges...

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Q: Find the Fourier f (x

A: Solving

Q: Using Figure 1, complete the following function. V Figure 1 cote = O r/v v/u r/u v/r u/v u/r O O

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Q: Evaluate the integral. (Use C for the constant of integration.) 9 - x xp

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Q: A Bifolium is the family of curves given by (x +y)* = kx²y, where k is a real number constant. %3D a...

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost fu...

A: We have to find ∆c and c'(x). 

Q: The radius of convergence of the series 00 n! (3x – 1)" -

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Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that: ddx(cot-1x)=-1x2+1ddx(cos-1x)=-1...

Q: 22ニ」 dx ズ+ぞ

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Q: 4. Using the graphing strategy discussed in class, sketch a graph of the function 1 f (x) = (x – 4)/...

A: 4. Using the graphing strategy discussed in class, sketch a graph of the function f(x) = (x − 4) 9/5...

Q: | fdy dx f(x, y) ds = " f (x(1), y(1), dt dt

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Q: Using Figure 4, complete these functions. P(-20, 21) Figure 4 sine = -21/29 20/29 21/29 -20/29

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Q: Find Ay and f'(x)Ax. For y = f(x) = X = - 1.6, and Ax = 0.1

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Q: What is the angle of the inclination (to the nearest whole degree) of a stairway with the floor if t...

A: According to question,Given,steps have a tread of 11 inches and a rise of 6 inches.

Q: If the têst is inconclusive, then say SO. 3* Σ k! k=1 If p = +o, enter "inty". i

A: Given query is to find series converges or diverges.

Q: Find the derivative of the function. 7. x3 + 2 y = e

A: Given:         y = e x3+27