es from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Enable Editing Problems on particle Slowing down and Speeding up: Example 1: The position of a particle traveling along a horizontal line is given by S(t) = 2t3 3t2- 12t + the find the following: a. Velocity and Acceleration b. Determine the time intervals when the object is slowing down and speeding up.

Q: At what points is the following function continuous? 6x tan 3x y = x2 +2

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Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly repo...

Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1 ...

A: Topic = Functions

Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312

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Q: sin(tan-) -

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Q: Perform the indicated operation and simplify if possible. 17. 17 O A. V7 O B. 7 OC. V14 O D. V49

A: Topic:- simplification

Q: If f(x)=x, then f'(5) = (A) 0 (B) 5 (C) 1 25 (E) (D) 5

A: Topic:- derivatives   

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Q: Show all of your work in this problem. Consider the infinite series k Σ k +1 k=1 (a) Write down the ...

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Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: 2. Use the following information to write out the polynomial functions in factored form. Sketch a gr...

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Q: 2. Sketch the graph of f' given the graph of f. Explain how you found the answer. y 10- 9- 5- -10-9-...

A: The objective is to sketch the graph of f'.

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A: Solution of the problem as follows

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Q: For b, c, d, k ER\ (0), obtain a formula for any integral of the form dx. What was your substitution...

A: The objective is to solve the above question.

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Q: Let f(x) = and calculate x(In(x)) f(x) dx by using integration by substitution. What was your substi...

A: Given that: f(x)=1x(lnx)6

Q: 32xdx

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Q: Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx y= e - 10x Wh...

A: Given that:y=e-10xTo find dydx

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Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: 16 8 (B) y = - (x - 2) (C) y = } - }(2 – 2) (D) y = - ( – 2) %3D 3 %3D 16 (E) v=-유(z-2) 3 O.50

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Q: Let g(x, y) = cos(x + 2y). a. Evaluate g(2,–1). b. Find the domain of g. c. Find the range of g.

A: The function,      g(x,y)=cosx+2y

Q: 1. f(x) = -|x + 6| + 5 Range: x-int: у-int: Intervals on which f (x) is decreasing: Relative Extrema...

A: f(x) =-x+6 + 5                                      

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Q: Express the repeating decimal as a fraction. 0.101010...

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Q: immediately

A: We will find the integral. 

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A: Given 7lnnnn=1+∞

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A: Given that: ∫(6x2-4x+1)dx

Q: dり me me pag

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Q: dx 3. S xVx-8 4. S-5 cos r sin 2r dr

A: ∫1x2+a2 dx =12atan-1xa+C ∫un du = un+1n+1+C

Q: The cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the ...

A: Follow the procedure given below.

Q: A model for tumor growth is given by the Gompertz equation = a (In b – In V) V where a and b are pos...

A: Given:  A model for tumor growth is given by the Gompertz equation, dVdt=aln b-ln VV, where a and b ...

Q: f(x) = -2x2-2x+4 is %3D x-1

A: Follow the procedure given below.

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A: Given : (sinθ - θcosθ, cosθ + θsinθ);            0 ≤ θ ≤9

Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: y = Cje2" + C2e¯®

A: y=C1e2x+C2e-x differentiate with respect to x dydx=2C1e2x+(-1)C2e-xdydx=2(y-C2e-x)-C2e-xdydx=2y-2C2e...

Q: divergent. If it is convergent, find its sum. n=0

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Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

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A: Series  convergence and divergence 

Q: Evaluate the iterated integrals  ∫1 0  ∫1 0 dxdy

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

Q: Given the graph of f, find any values of x at which f'is not defined. 1 -2

A: Graph of the function is given, we have to find the values of x for which f'(x) is undefined

Q: dy (8y – 2²y) + x – xy² = 0

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