Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1 (cos(26))k is geometric k = 1 Since cos(26) is a constant, then the series Step 2

Q: Problem 4. The third term of a geometric sequence is 9, and the common ratio is 2 Find the fifth…

A: Given :3rd tern of GP is 9common ratio=32

Q: Problem 11. Solve the following system and express your solutions (if any) as individual ordered…

A: 3x2-2y2=-5     2x2+4y2=18

Q: ind 4 using implicit differentiation and evaluate the derivative at point (-1,2) 2.a°y + 5x?y³ = 2x

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Q: Step 3 Apply the Fundamental Theorem of Calculus, which states that f(x) dx = F(b) - Fa). Use this…

A: We can complete step 4 by the cross multiplication method.

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

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Q: (п+1 c) Σ-1 3η2 b) En=1(-1)" (41) Inn a) En=3 (in (Inn).

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Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: Determine the convergence or divergence of the series. (If you need to use o or -co, enter INFINITY…

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Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

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Q: dr 1/4( In 4) o 1/( In 4) o In 4 In (4) 1/4

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Q: Use the figure to evaluate the following function, given that f(x) = sin x. (Simplify your answer.…

A: Given diagram,

Q: Area Between Two Regions Name: (a,h) (0, 0) (b,0) Use integration to determine the area of the…

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Q: Suppose we have the position function: r (t) = t. t2 Evaluate the tangential component of…

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Q: y = 4x (4. 4) y 2x-4 5 (1,-2) Using a horizontal element of area, the area of the shaded region is…

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Q: NOTE: Enter your answer in terms of i, j, and k. r(11):

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

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Q: Use a truth table to determine whether the two statements are equivalent. (p v q) a r and p v (q A…

A: Here we have to find the truth table.

Q: To find the distance AB across a river, a distance BC 1226 m is laid off on one side of the river.…

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Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: 2 2 2 2 4' 16' 64' 256' 1024

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Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. Find the…

A: A detailed solution is given below.

Q: 6. v(y) = In (y² – 8y – 1)

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Q: no1

A: Topic:- application of derivatives

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: 1 Σ 6" - 5 n = 1 8

A: Given :

Q: Write the first four terms of {an}. n + 1 10) an 3n - 1

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If th use co or -co,…

A: Given query is to find the series converges or diverges.

Q: Determine the area of the glven reglon. y = x + sin x 3- 2- Step 1 Note that for the given reglon, x…

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Q: (H.W) 1- Solve by choose M this time (2 x y² + 3 x² ) dx + (2 x² y + 4 y³ ) dy = 0 2- Find the…

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Q: If z = +3y, find the differential dz. dz =

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Q: S csc-2a(seca)-da

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Q: 2n+3 {a,} = 7n- 2 7n+4)

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Q: x2 - 6x + 8 lim x--2+ x3 - 4x

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Q: (-2,0,5) and (–1,2, 3). Find an equation of the sphere whose endpoints of a diameter are

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Q: | 5f(x)dr c f(r)dx if c =

A: Given :∫725f(x)dx=c∫27f(x)dx

Q: In ASTR, t = 15 ft, r = 16 ft, mLS = 35°. Find the area of the triangle and round to the nearest…

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos(0) do 1

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Q: 4) Find all values in the interval [-2z,27]at which the graph of fhas a horizontal tangent line.…

A: -2pi = -6.2832 2pi = 6.2832 we can see from the graph 5 values satisfies horizontal tangent, we can…

Q: If the series converges, find its limit. (Leave your answer exact.) If the series diverges, simply…

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Q: Substitute the above values In the equatlon for (3/+ B) (31 + 8) = + 48 II II

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Q: (c) Use de Moivre's formula to write down a formula for all o words, give a formula for the complex…

A: answer is in next step

Q: Determina the vector field of F. F(1, y) = yi -j

A: Please see the below picture for solution.

Q: 26) find the mternel of convergenu of tue power Senies (x-6)*-1 и -) 6 onsurs : aj (6,l2) d) (-6,6)…

A: A detailed solution is given below.

Q: 3 lim (1+ 4 x2

A: Given query is to find the limit of the expression m

Q: If f) = x*/x³ ++2 then 13x + 20x 2Vx +2

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Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

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Q: Find the area lying outside r = 6 cos 0 and inside r = 3+3 cos 0. Area =

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞ or…

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