Graph of the position function of a particle is shown, where t is measured in seconds. a. When the particle is speeding up ? (Enter your answers using interval notation.) b. When the particle is slowing down ? (Enter your answers using interval notation.)

Q: L{f(t)g(t)} = L{f(t)}L{g(t)}, where both f and g are continuous and of exponential order. True False

A: We have to find the reason

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A: Given: Data is given

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A: In your solution please replace x to t

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A: The given series,       ∑n=2∞7. -3n5n

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Q: 10) Construct a Pictograph illustrating the information provided in the chart. Label the pictograph ...

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A: Question- Find an explicit formula of  an   for the nth term of the geometric sequence whose first t...

Q: 9(1) = 5, g(2) = -3, g(3) = 2, g(4) = -1 g (1) = 11, g (2) = -2, g' (3) = 4, g (4) = -9 %3D %3D If f...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

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Q: 3pts) Find the equation of the tangent line to the graph of the function f(x)=x-Vx at the point (1,0...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 7k-1 k=1

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Q: What is the area of the shaded region below? 16 -y = 2r² + 8 -y = x* NOT TO SCALE

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Q: Consider cost min problem for the X1α and X2β cobb-douglas production function. Find minimum value o...

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Q: Consider the series. 8 8 + 3 8 8 + .. 34 32 33 This can be written as a geometric series in the form...

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Q: Question Q is the region bounded by the graph of v(y) = 6y , x = 2, and y = 0. Find the volume of th...

A: Suppose that y=f(x) is a continuous non-negative function on the interval a,b.The Volume of the soli...

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

Q: * Proferties of Deta If (Alis a square matrix for eXamlle A=

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Q: 1. Write a differential equation that models the given situation. The stated rate of change is with ...

A: let P  denote pressure of a gas T is temperature of gas V is volume of gas 

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Q: 4. f(x)=x tan² (-)

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Q: series. 8 8. 8 8 + + 3 32 33 34 This can be written as a geometric series in the form E cr". Identif...

A: Given: 83+832+833+834+⋯

Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 cose = 4/5 -3/5 3/5 -4/5

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Q: In(12 x- 11) dx

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Q: Calculate the work done by the force F(x, y) = x3yi+ (x - y)j along the parabola y= x2 from (-2, 4) ...

A: To find the workdone

Q: 1. Find the domain of the following functions: х? - 3х-10 а. у- х-5 х+5 b. y=- Vx - 5

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Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

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Q: Evaluate

A: We will find f''(2).

Q: Then find the length of the indicated portion of the curve. r​(t)=3e^t cost I+(3e^t sin t) j−3e^t k​...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 cote = -3/4 3/4 -4/3 4/3 O O

A: Topic = Trigonometry

Q: A. Find the specified nth term of each arithmetic sequence. 1.2,5, 8, ...; 9th term 2.3,57,...; 20th...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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Q: The graph of the derivative f' of a function fis shown. y A y=f(x) 0. 4 9. (a) On what intervals is ...

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Q: cot 2x csc42xdr Evaluate: /2-3 cot?2x

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Q: cot 2x Evaluate the integral dx . V cor²(2x) – 15 csc (2x) A ·Arcsec 8 + C 4 -- In |cot (2x) + Vcot²...

A: The given integral is: ∫cot(2x)cot2(2x)-15dx Substitute cot2(2x)-15=t          ....(1) Fromm the tri...

Q: Which of the following series converge? I. E 2 II. E III. E1 A) I only. B B) None of them. C) Il onl...

A: We have to find which of the following series are convergent. 1. ∑n=1∞13+1n2. ∑n=2∞1ln n53. ∑n=1∞nn2...

Q: 2n n+1 lim n A) e

A: Given,            limn→∞n+1n2n

Q: If the Taylor series of f (x) at a = 3 is (x- 3)" 2"(n + 2) n=0 Then f(4 (3) is: A) 24x6 4! B) 24x6 ...

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Q: Question A potato is launched vertically upward with an initial velocity of 136 ft/s from a potato g...

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A: topic-  area and perimeter of rectangle

Q: Qu 4 Using an operator , solve the following differential equations d²y dy a) dx² 10 + 25y = 0 dx

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Q: Suppose y = tan x. A. Find dy and Ay when r = 60° and Ar = 1°. B. Use your answer in part A to appro...

A: Given that y=tanxA. y=tanxdy=sec2xdxdydx=sec2x△y=dydx△x△y=sec2x△x△y=sec260°×1°△y=4×1°=4°

Q: Evaluate the integral: f sin 7x cos 2x dx. A) sin 5x + sin 9x + c. 2 B) cos 5x +co cos 9x + c. 10 C)...

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Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y =...

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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