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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2, y =…

A: The given curves are; y=e-2x, y=0, x=0 and x=1 So, the bounded region is as shown below. Apply the…

Q: An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's…

A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: n=1 convergent, absolutely convergent or divergent.

A:

Q: (E – 4)A^ = -글Vyy-3), 1sys 25 ter a fraction, integer, or exact decimal. Do not approximate.

A:

Q: Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits…

A: For (a), w'(t)=36t2+252t+6242' =72t+252 For (b), For t=1, w'(1)=72+252=324

Q: S(e3t + e-3t)2 dt

A: To evaluate the value of given integral.

Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

A:

Q: Let f(x)=5x/2 - ex . Find the value of x for which f''(x) equals zero.  A. 0 B. 5e C. ln5 D. e5…

A: Solve for x by differentiate f(x) with respect to x.

Q: 1. Answer the following questions for the quadratic function f (x)=x² -8x +8 . a. Calculate the…

A:

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: sin can be expanded to: sin 4 COS 2 cos - sin sin 2 O sin 4 sin -cos - + cos –sin 2 4 2 O sin + sin…

A: The detailed solution is given below Thank you

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: 2. Let R(t) = } sin 4t î – bcos“(21) j + 2t k. E

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Q: リ=ー"-4), find a) The x-intercept and the y-intercept b) The interval where the function is…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

A:

Q: If a rock is dropped from a height of 45 ft, its poistion t seconds after it is dropped until it…

A:

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

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Q: 5sin e Cose de Sin? o +3 Sine -4 2.

A: Solve the following

Q: 5. (4x3 — 6ху?) dx + (4y3 — 6ху) dy 3D 0

A:

Q: 21. A group of 10 women and 6 men must select a four-person committee. How many committees are…

A: Let's find.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 3/2 <(のーメ)CK dx 2. 2.

A:

Q: Use Newton's Method to approximate the root of x In r 2 accurate to five decimal places. Begin by…

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Q: Consider the series E (-1)"(3x+6)" . Find the series radius and interval of convergence, n=0

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Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: C. 5x' + xy = 5x°y³ .3 ху .3

A:

Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Find the radius of convergence, R, of the series. xn + 6 7n! Find the interval, I, of convergence of…

A: For the series ∑an radius of convergence we will follow the following stepslimn→∞an+1an&lt;1  and…

Q: How do you do optimization in calculus? List all steps

A:

Q: Use the Root Test to determine whether the series convergent or divergent. 00 n2 + 6 Σ 2. 5n + 2 n =…

A: Given: Here, an=n2+65n2+2n.

Q: - How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

A: Combination

Q: S 2x(ex²+1 – 2x*) dx

A:

Q: A 20ft ladder is placed against a wall. If the top of the ladder is dropping at a rate of 5ft/min,…

A: given

Q: owing integral equal?

A:

Q: 5. u = 2i, v = -3j

A:

Q: 2. A rocket is launched in the air. Its height (in meters above sea level) as a function of time t…

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Q: 5 6 Consider the function f(x) x2 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

A:

Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: V 2 y = 3 Vx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: etermine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

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Q: Let limf(x) = 3 and limg(x) =. Find

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Q: cos(x ) + æ5.1 dx. )ln(1+x² 3 cos(x Evaluate 1+ el.61x – 68 - 3. answer

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Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: Given query is to find the derivative of the expression.

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

A:

Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: A Comapny's Marginal cost function is C^1(x)=17/√x) Where X is the number of units. Find the total…

A: Use integration for finding the cost function.

Q: can i see how you get 95.33?

A: Apologies for the inconvenience.   The given function is:  fx=3lnx5fx=3×5lnxfx=15lnx   Given that…

Q: An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant…

A: