Find a particular solution to Yp || y" - 10y + 25y = -8e5t t² + 1

Q: Find all the values of x such that the given series would converge. 2n (x²)(n+1) (n + 9) n=1

A: We have to find the values of x where the series would converge.

Q: Use the function f(x) = 15x¹6 — 16x¹5 to answer the following questions (a) Find the interval(s) on…

A: The given function is

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Q: Determine whether the geometric series is convergent or divergent. 102 +0.4 -0.08 + ... O convergent…

A: To determine whether the following geometric series is convergent or divergent.If it is convergent,…

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Q: 2. ४ Solve. 3 - x < 14

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Q: Suppose that p(x) = anx" converges on (-1, 1], find the interval of convergence of p(6x - 4) . x= to…

A: If a series P(x) converges on the interval (−1,1], we can determine the interval on which the power…

Q: Test the series below for convergence using the Ratio Test. n+ 5 22n+4 n=1 The limit of the ratio…

A: The ratio test:

Q: 4. Solve, x+3 11 = 3 x + 8

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Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF RATIO TEST: 2n+l…

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

Q: Let f(x) = x³ + 6x² + 1. Calculate the derivative f'(x) = 3x² + 12x Calculate the second derivative…

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Q: Find the area of the region bounded by the graphs of the given equations. y=2x² -5x +9; y=x² +7x-11…

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Q: Find the indefinite integral using a table of integrals and using the given method. (Remember to use…

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Q: Find a formula for the nth term of the following sequences: а (a) ... an (b),,,... bn Assume a…

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-3, 3), vertex…

A: Given that ellipse  with center  ,vertex , focus From the given data  the x coordinate of vertex,…

Q: Let f(x) = x³ + 6x² − 15x + 10. (a) Find f'(x) = (b) Find f"(x) = (c) On what interval is f…

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Q: USE THE RATIO TEST TO DETERMINE WHETHER & n(-9)h n=29 n! CONVERGES OR DIVERGES. FIND THE RATIO OF…

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-3, -3),…

A: Vertices : Comparing this with Vertices : We get, ......(i) ......(ii)Adding both equations Putting…

Q: Suppose that the profit of a company depends on three variables (x,y,z) and is given by the equation…

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Q: Suppose an = -баn_1 — 40л-2 a az 03 4an-3 and a4 = -92, a5 = 500, and a = -2672. Find A1, A2, and…

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Q: •π/2 1 [™ ² + xy cos(x²y) dx dy

A: Evaluate the double integral.

Q: x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B.…

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Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

A: The given geometric series is

Q: (a) Compute the integral (b) Compute the integral sec Ode by observing sec 0 = sec (tan+sec 0) tan 0…

A: The given integrals(a) (b)

Q: series converges b) absolutely and c) conditionally 72=1 (n + 1)(2x + 1)n (2n + 1)2n

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Q: Consider the plane which passes through the three points: (3,-2,-10), (-2, 2, 6), and (-2, 3, -4).…

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Q: 3. (#55, p. 142) A roller coaster begins on flat elevated track that is 15 feet above the ground, as…

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Q: Find f'(x). X f(x)=x-44 f'(x) = (Type an exact answer.)

A: Given,

Q: Find the derivative of the function. v(x) = e2x52x v'(x) = X

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Q: Let ƒ(x) = x³ + 9x² − 21x + 22. (a) Find f'(x) = (b) Find f"(x) = (c) On what interval is f…

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Q: Determine the exact values of each expression for the given value of 0. Do not use a calculator.…

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Q: Given that 0. ∞ n=0 x= 1 1 - X Identify its interval of convergence. The series is convergent from…

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Q: prove by definition 3/n and 1/n^2 converges to 0.

A: We need to prove that two sequences (3/n) and (1/n^2) converge to 0.We need to find that N in the…

Q: y-values y-values 9 8 6 3 2 1 5 4 3 2 1 g(x) h(x) 2 3 x-values 2 3 x-values If f(x) = g(h(x)), then…

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Q: Integrate: 1 -dy 36-y y³

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Q: X 0 f(x) 3 f'(x) 4 042 1 5 -1 1 273 2 7 362 4 1 X 2 3 4 g(x) 3 0 7 2 g'(x) 2 4 -3 -2 3 5 2 5 0 -2 5…

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Q: For the given cost function C(x) = 14400 + 300x + x²,

A: C(x)=14400+300x+x2

Q: Complete the following sentence. Enter a numeral. The growth rate of the human population in 2020 is…

A: The total population has grown in how many years?

Q: For the series compute the partial sums: k! k2

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Q: 8 2. a) Differentiate the function Q(p) = -2³√/p³ (e²-√³) b) Hence or otherwise, determine Q'(1).

A: The given function

Q: believe the correct answer for concave upward is (-inf, -1) U (1, inf)

A: In this question, we will find concave upward and downward.

Q: Find the point at which the line {-1,-3,-5} + t{5,-3,3} intersects the plane 4x-y-z= 104

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Q: Determine whether the geometric series is convergent or divergent. 36 216 7 + 6 + + 7 49 O…

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Q: Given that t (a) sin(t): (b) sec(t): = tan ¹(3), find the exact value of

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Q: Region: y = 3x √₁+x3 x-axis, 0≤x≤3. √1+x³¹ Rotated about: y-axis

A: To find the volume of the following region.Region: Rotated about: -axis

Q: A company wants to produce an open-top container made of sheet metal with a volume of 10 m³.…

A: Let the length of the box  mLet the width of the box  mLet the height of the box  m

Q: Find the inflection points for the function f (x) = 8x - sinx, ≤ x ≤ 7 < O (π, 8π), (2π, 16T + 2) ○…

A: The given function is  ,

Q: dy dx -1 Find for the function y = cot¹ √√4x². Show all steps.

A: The given function is

Q: Evaluate the following determinant. Show all steps 2 1 -1 1 3 0 -2 2 4

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Q: GIVEN SERIE P-SERIES TEST a.) हैल n=0 J|f 4

A: Since you have asked multiple questions in a single request so we will be answering only first…