Test for conditionally converge, Absolutely converge, or diverge of the series Inn E2(-1)".

Q: 9.) JE sin°(x)cos*(x)dx 11.) F sin°(x)cos²(x)dx 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the indefinite integral. (Use c for the constant of integrat (4t3i + 4tj – 6vik) dt

A: we use the basic formula ∫xn dx =xn+1n+1+C    ; n≠-1

Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: Volume

Q: Answer is incorrect

A: Apologies for the inconvenience. In the second last line there was a calculation mistake.

Q: H.W: Evaluate the integral 3 0 | (x?y- 2xy)dydx 1. 0 -2

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Q: E(-1)" n n=1

A: Series

Q: x²+x dx x2+1

A:

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: Integral

Q: Calculate ri(t) · r2(t)] and r.(t) × r2(t)] first by differentiating dt the product directly and…

A: This is a problem related to dot and cross product of vector. Based on the general formula and…

Q: Find ag and a, for the following geometric sequence. 4 4 12, - 4, 3 9 a5 = (Simplify your answer.)…

A:

Q: am confused can you highlight answers please thank u

A: From the original solution the answers are: Intercept: 0, 0 Relative minimum: -5, -110 Relative…

Q: 1 Without a table of values and using index laws, sketch y 2*-

A: y=12x 2-1 y=12x2 y=22x

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 6tj – 6ik) dt

A:

Q: 2. The sum of a two-digit number is 13. When 27 is added to the original number, the result is the…

A: To find out the original number.

Q: 1 Evaluate dx. - 2x 10 + e 1 dx 2x + C 10 + e

A: To solve the following integral problem

Q: 1. The sum of the digits of a two digit number is 15. One-third of the number diminished by 12 is…

A:

Q: Find the curvature and the radius of curvature at the stated point. Edit r(t) = 8 cos(t)i+ 7 sin(t)j…

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Q: Calculus Question

A: Matrices

Q: d. | x In(x + 2) dx

A: This question is related to definite integration, we will solve it using given information.

Q: Solve the general solution of DE: y" -5y' + 4y = 3e6r O y = cje* + c2er + ner 10 y = cje* + czet* +…

A:

Q: Find the radius of convergence, R, of the series. xn + 1 3n! n = 2 R = Find the interval, I, of…

A: A detailed solution is given below.

Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: A detailed solution is given below.

Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

A:

Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = eti+ etj K(t) :

A: Given r(t)=e5t i + e-t j

Q: हम - (2) / हर्े 3

A: We can solve the given problem as follows:

Q: Question 16 Find the equation of the tangent plane to the given surface at the indicated point. x2…

A:

Q: True or False. Explain your answer The limit of sin(x) as x approaches very large values is 0 or 1.

A: Given

Q: Find curl (2z i + 3x j + 5y k). url(2z i + 3x j + 5y k) = ( i )i + ( )j + ( 3 )k

A:

Q: If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a…

A:

Q: -2x (1+ee) dx e

A:

Q: Q-What is the volume of the solid obtained by rotating the region bounded by the graphs of y = vx, y…

A: Volume of solid of revolution

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: Here,  0≤x≤4-yy≤z≤8-y0≤y≤4 To change the order of integration to dx dz dy to dz dy dx

Q: (b) The curve y = x +3x, from x 1 to x = 3 (c) The ,2 1 from 2 to g

A:

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e*i+e*j ,3t: K(t) =

A:

Q: I. Evaluate the following antiderivatives. tan (VT) + 2 1. TE (sec(/r) – cos(/#)) dx Cos(V))

A:

Q: sin(3x) dx 1+cos²(3x)

A: The given integral is Sin(3x)/[1+cos2(3x)].

Q: Find V x (V x F) if F(x, y, z) = 5xyj+ 9xyz k. V × (V × F)

A:

Q: Find the radius of convergence, R, of the series. Σ n = 1 R = Find the interval, I, of convergence…

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz da dz dy = -36 J-24

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Q: Solve the following differential equations of *ソ-2x 少 -x(x+)y %3D dx hel

A:

Q: Qs show that : sinh CA+B) = SinhA. coshB + Cosh A. simhB

A: This question is related to Hyperbolic functions, we will solve it using given information.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: greens theorem

Q: Find V. (V × F) if F(x, y, z) = 8 sin xi + cos(3x –- 4y)j+ 4zk. V.(V × F)

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Q: 7y" – 5y' – 2y = 0 ; y(0) = 4 ; y'(0) = 0 |

A: differential equation

Q: Find the reference angle for the angle 109°.

A: Topic:- geometry

Q: For problems 1- 2determine the dot product, a-b. 1. ā = 9ĩ -8k , 5 = (3.-2.1) 2. and the angle…

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Q: y" — Зу + 9у — 0

A: Given; y''-3y'+9y=0

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Evaluate the expression. 14C11 O A. 182 В. 3003 О с. 2,184 O D. 364

A:

Q: + 3x° +3x*.

A: