Use the Comparison Test to determine whether the series converges. Σ K = 1 1 5k5+6 The Comparison Test with Σ k=1 shows that the series.

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Q: The count in a bacteria culture was 900 after 10 minutes and 1500 after 40 minutes. Assuming the…

A: NOTE: Refresh your page if you can't see any equations. . let the exponential function is in the…

Q: The graph below is the function f(x) -4 -3 -2 -1 lim z→ 3+ 4 3 2 1 -1 -2 -3 -4 Determine the…

A: Find the limit from the graph

Q: II. Solve the given linear differential equation showing the details of your work. 1. (D²…

A: The given differential equations are;  1) (D2-3D+4)y=16x-50Cos2x 2)(D2-3D+2)y=Sin(e-x).

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Q: Tutorial Exercise Use the position function s(t) = -4.9t² + 750, which gives the height (In meters)…

A: Let's find the value.

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Q: nt The formula A = P 1 + describes the accumulated value, A, of a sum of money, P, the principal,…

A: Use given formula

Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: To find the antiderivative F of f that satisfies the given condition. To check the answer by…

Q: Work Problem 3 (.. : b) Using the Lagrange multipliers method find the extreme value(s) (if it…

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Q: Given the initial condition y(0) = 4, what is the particular solution of the equation e²x - 2yy' = 0…

A: The given equation is;  e2x-2yy'=0, y(0)=4.

Q: 3. At 2:00 p.m. a car's speedometer reads 40 mph. At 4:00 p.m. it reads 80 mph. What can we say…

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Q: For the function, locate any absolute extreme points over the given interval. g(x) = −3x2 + 14.9x −…

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Q: Find the limit. Ilm x-1x²+3

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Q: please

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Q: ← Write the expression as an algebraic expression in u, u > 0). cos sin cos sin 1 1 2 2 = (Simplify…

A: We will find the solution

Q: If cosa = 0.446 and cos 3 = 0.153 with both angles' terminal rays in Quadrant-I, find the following:…

A: cos(α+β) = cosαcosβ - sinαsinβsin(α-β) = sinαcosβ - cosαsinβ

Q: Graph on the image below and find the area bounded by 9x^2 + 4y^2 = 36. Solve this using method of…

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Q: Suppose that the position of a particle is given by s(t) = 7t³ + 4t + 9. (a) Find the velocity at…

A: Solve the following

Q: 10)  Find the general solution to the differential equation. dy dt = y cos(7t + 2)     please show…

A: To find the general solution of the differential equation.

Q: If investment A has an annual return of 4% with continuously compounded interest, and Jane has $500…

A: Given: Interest rate, r = 4% =4/100=0.04 Final amount, A = $500 Number of years, t = 4

Q: Find the general solution of the given ODE ( 40² – v) dx + x dy 0.

A: The given DE is: (y2-y)dx+x dy=0⇒(y2-y)dx=-x…

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A: Given Problem:- ∫x2+1x2+4dx

Q: A real estate investment, originally worth $6000, grows continuously at the rate of 400e0.04t…

A: A real estate investment, originally worth $6000, grows continuously at the rate of 400e0.04t…

Q: 18 0-17 ¹8 cos(x¹8+18) Question 6 Find the total differential for the function w = Odw - 262³ y sin…

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Q: Tutorial Exercise Find lim Ax-0 f(x + Ax) = f(x) Ax f(x) = 3x²-3x Step 1 Find f(x + Ax) by…

A: We will find the required limit.

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A: The objective is to find the indefinite integral.

Q: Determine the y-coordinate of the centroid of the shaded area shown. 15" Parabolic. 4" Answer: y = i…

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Q: Suppose that the position of a particle is given by s(t) = 2t³ + 6t + 9. (a) Find the velocity at…

A: Topic = Derivative

Q: Given: x³y - 3x2y" + 6xy' - 12y = 2x + Inx, write the transformed equation in z. A. (D³-6D2 +…

A: Let's transform equation in z.

Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: Solve the initial value problem. y' = (x − 1)(y − 6),  y(2) = 6   PLEASE SHWO STEP BY STEP .

A: Here we have to solve given differential equation

Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

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Q: dX If the side of a cube is expanding at the rate d = 2t cm/sec, and X(0) = 3 cm. What is the volume…

A: This question can be solved using the concept of differential equation.

Q: Find the total change of f(x) between x = 0 and x = 2, when df = 4x² + 3x.

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Q: Complete the table to determine the effect of the number of compounding periods when computing…

A: NOTE: Refresh your page if you can't see any equations. . the compound interest formula is given by…

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Q: Find the Maclaurin series for f(x) = cos s (x³). (Use symbolic notation and fractions where needed.)…

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Q: Question 2. ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and…

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Q: Use the Ratio Test to determine if the series converges. 10k Σ k=1 Select the correct choice below…

A: The given series is ∑k=1∞10kkk

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Q: Find the second derivative of f(x) = 7 sin(4x). Enclose arguments of functions in parentheses. For…

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Q: The normal vector to the tangent plane for the surface x²y³ z = 8, at the point (-1, 2, 1) is: 2 3…

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Q: - - Find the fourth derivative of f(x) = 5 + ln (x) — 127.

A: Topic = Derivative

Q: If sin a = 0.857 and cos 3 = 0.591 with both angles' terminal rays in Quadrant-I, find the…

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Q: dy 8. = dx 1 x+y+1

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Q: Suppose a population of P(t) satisfies dP dt 0.4P - 0.001P² P(0) = 50 a What is the carrying…

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Q: 1. Find the Laplace Transformation of the following function. First express the function in terms of…

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