If an alternating series is not convergent then it is divergent. Select one: O True O False

Q: An ellipse has centre (0,0) and vertices on the y-axis. The minor axis has length 10 and the major…

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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.…

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Q: Does the series diverge? Converge or tin ta)^

A: We need to determine if series converge or diverge.

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this:

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x² + 2)(x² + 1)2

A: ∫xdx(x2+2)(x2+1)2Substitute u=x22→dudx=x→dx=1xdu=12∫1(u+1)(2u+1)2duPerform partial fraction…

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: Differentiate f(x) = sin-(2x). Use exact values. f'(x) =

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Q: 3. Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p 0 and q = 1, then !! %3D…

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Q: (2x + 3)dx x² + 4x + 29

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Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

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Q: Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

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Q: Consider the function f(x) = 9x° + 9x® – 6xª – 5. - 5. - Enter an antiderivative of f(x). Do not…

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Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

Q: V. How many different ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL…

A: Permutation

Q: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

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Q: 8. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature is…

A: density=massvolume For  density to become maximum, volume needs to be minimum. Given

Q: —x2 — 4х + 18 (Зх+ 4) (x? + 9)"*

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Q: Evaluate the integral | 3t³ (t² + 4)5dt

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Q: Find an equation of the circle that satisfies the given conditions. Center (-1, 6); passes through…

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Q: 2. 4. 6. . (2n) n! n = 1 Identify a, 2n! n! 2.4 6 (2n) n! (2n)! n! (2n)! 2 4· 6 • . . · . (2n)…

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Q: a cost i 6. Find the moving trihedral and the curvature of R(t) a sin 2t k OE

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Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

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Q: Determine the indefinite integral 6+8x3 dx by algebraic manipulation. Assume x>0 when In (x)…

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Q: 143+2x+1 dx

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Q: Ha Determine Find the limit it Hie' sequence converges it the sequence Ean} converges or diverges an…

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Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 9)2

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Q: Consider the function f(t) : 8 sec-(t) – 10t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Topic = Anti derivative

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i + 2 sin(t)j + tk, 0<t< 2n L =

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Q: A particle moves in the xy plane so that at any time –2 <t< 2, x = 3 sin t and y =t – 4 cost + 1.…

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Q: xªdx J (x2 + 9)2

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Q: onsider the following curve. y = x, 0sx<5 Set up an integral in terms of x that can be used to find…

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Q: 8. Find i • i 55° lū| = 7| = 31

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Q: x + 4 dx x² + 2x + 5

A: ∫x+4x2+2x+5dxx+1 is a scalable factor of x2+2x+5, so divide x+4 by x+1=∫x+1x2+2x+5dx+∫3x2+2x+5dx

Q: 2. For each of the following functions, find the indicated derivative using the definition. a. f (x)…

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Q: Use a graph to determine whether the given function is continuous on its domain. [3 – x if x 3…

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Q: IV. On Circular Permutation In how many ways can eight people be seated at a round table? . In how…

A: Note that, in a Circular fashion we can arrange n elements in (n-1)! ways.

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

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Q: Find all the relative and absolute extrema of the given function on the given domain. (Order your…

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: Write 32/3 as an integral

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Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

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: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: ´ 1/x? sin x lim x>0

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Q: dx sin x

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

Q: Describe the graph of the equation. r = 19 sin 2t i + 19 cos 2t j O It is a circle of radius 19 in…

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