Find the sum of the convergent series by using a well-known function. 47 Σ (−1)n + 1. 7"n n = 1

Q: x C C X y X Find the derivative for the function f(x): || || = = 5 | 5 5 x2 X 1 5x2 1 5x2

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Q: 12. What value of k would give the function y = 15 sin(kx) a period of ? B. k=" = 7/ 5TT C. k= 6 A.…

A: To find the value of  that would give the function , a period of

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Q: a B b A

A: c=5 and A=55 degrees

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Q: Find the given derivative. Dx 8x 1 3 + 9 5|+|mx X

A: Let f(x)=8x−13+9x43

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Q: Evaluate (3x +2y)dx + (2x - y)dy, where C is the curve x = y³ from (0,0), to (1,1)

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Q: Why did you take the natural log in the series above

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Q: Problem 4: Let en = 2.4.6. (2n), the product of the first n positive even integers. Use the Ratio…

A: en = 2.4.6.........2n

Q: Use L'Hopital's Rule to evaluate the following limit. limo (In(x) - In(sin(x)))

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Q: The management of National Electric has determined that the daily marginal cost function associated…

A: C'(x)=0.00003x²-0.03x+22

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Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

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Q: Σ n=1 S 1 8 + en

A: The given series is

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Q: Consider f(x)=√4x +3. • Use sqrt for the square root. a. Compute: f(a) = b. Compute and simplify: c.…

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Q: and unit normal №(t) bin ormal vator BVE) and curvature K for the space. r(t) = (cost)i + (sint)j-k…

A: The solution is shown in step-2

Q: +5 -S66², 0 Evaluate y dydadz Give your answer as a reduced fraction.

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Q: Find the derivative for the function Select one: 2 Ob. OC -2 Od. 1 e. 7 9 x²-2 x when x = 3

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Q: Find the curvature of the curve r(t) = (-2t, −3tª, −2+³) Cive noimalı at the point t

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Q: Find the surface area of the part of the sphere x² + y² + z² = 4 that lies above the cone z = x² +…

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Q: 00 n=6 nt, n!

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Q: For the following demand function, find a. E, and b. the values of q (if any) at which total revenue…

A: Solution

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. (3y +…

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Q: 6 In Fig.11.23, the curve (y - 1)² = x + 4 meets the y-axis at A and B. (a) Find the coordinates of…

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Q: Find the derivative of y with respect to x. y = 5x² si sin-1 (5x²)+√1-25x4 dy dx 11

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Q: Find the sum of the series. 8 n = 0 57 7"n!

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Q: 10. Find Jc F. dr where F(x, y) = (4xy³,6x²y²) and C is a sequence of straight lines from (0,0) to…

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Q: Find the indefinite integral (for x > 0) on the domain of positive real numbers. Remember to include…

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Q: 3.) Find the area of the region bounded by the graphs of y = x² + x and y = 2x + 2.

A: The equation of the curvesTo determine: The area of the region bounded by the graphs.

Q: What two rational expressions sum to 3x-2 ? 1²-1-12 Enter your answer by filling in the boxes. Enter…

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Q: 3. (a) The region in Figure 8.35 is rotated around the y- axis. Using the strip shown, write an…

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