/121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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A: The given power series,∑n=1∞-2xn5n!

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Q: Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) :=…

A: The objective of the question is computing the values.

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A: For the given cost function Cx=22500+600x+x2, First, to find the average cost function. Then by…

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Q: lim x+0 v25 + 8x – 5

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Q: V9, 0< y< 4 Find the area of the surface generated by revolving the curve x = about the у-ахis.

A: We have to find the surface area.

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A: Explanation of the answer is as follows

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Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

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Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

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A: Follow the procedure given below.

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Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

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A: Given query is to find the critical numbers for the function.

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A: On solving this we will get

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A: Given query is to find the possible value for g(7).

Q: 3x - - 4y 2xy 96

A:

Q: 1. Given p(x) = 2x - 7x + 2x + 3. (a) Verify that (x- 3) is a factor of P(x) using synthetic…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

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Q: * This matrix is a 0 4 0 4 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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Q: A 25-year-old woman burns 600t cal/hr while walking on her treadmill. How many calories are burned…

A: Given  Amount of calories burn per hour = 600t

Q: 12. Find all relative extrema, and sketch the graph, for the function: f(x) = 3x* – 4x -12x² %3D…

A: Given

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Q: 5) Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval, and…

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Q: Express the equation in logarithmic form: (a) 43 64 is equivalent to log, A = B. |3D А || and В - ||…

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Q: 5. Evaluate each of the following integrals. rVz² +9dx dr (a) 21 +1)3

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Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: Given: f(x, y) = 2xy; R is bounded by x = 8, y = 0, and y = x Question: What is the double integral…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Follow the procedure given below.

Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

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Q: f(x) dx – f(x) dx = f(x) dx a = and b =

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A: Critical points of a function: A critical point on the graph of a function y = f(x) is a point (c,…

Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with…

A: We have to solve the given differential equation