Use partial-fractions to find the integral: A.) integral (2x+1)/(x^(2)+x)dx B.) integral (2x^(2)+1)/(x^(3)+x)dx C.) integral (3x-1)/x^(2)-x-6)dx

Q: Test the series below for convergence using the Ratio Test. gn n=1 n! The limit of the ratio test…

A: The series is given bywhere Ratio Test for series convergence:

Q: 8) Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Find an equation of the tangent line to the curve x² - y² = 15 – 2x at the point (4, 3). O A. 3y =…

A: The objective of this question is to find the equation of the tangent line to the given curve at a…

Q: EXPLAIN THE CONVERGENCE OR DIVERGENCE € (-1)" √n n=1 OF SERIES

A: The given series is an alternating series. Here we will use alternating series test to whether it…

Q: 2 15. If parent is y = x, describe transformations V - ½ (x-3) ². in y = -2 +

A: 1). The transformation  can be obtained by stretching the graph of  vertically upward by  units if…

Q: Separate the variables and solve the differential equation. dy/dx =(((3x^2)+1)/(4y)) ;   y(0)=2

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Q: Express the given parametrization in the form y = f(x) by eliminating the parameter. x = = In(t), y…

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Q: (a) Find a formula for the general term of the sequence, assuming that the pattern of the first few…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use the Mean value Theorem to prove that 1/9 ≤ √66 - 8 ≤ 1/8

A: Use the Mean value Theorem to prove that

Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

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Q: Suppose that a colony of beetles grows exponentially with doubling time 7 years. How many years does…

A: The objective of this question is to find out how many years it takes for a colony of beetles, which…

Q: What is the polar equation of the vertical line x = 10? Choose the correct answer below. OA. r= 10…

A: Given vertical linex=10

Q: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

A: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

Q: Use Stokes' Theorem to evaluate [F·dr where F = (x + 7z)i + (10x + y)j + (8y − z) k and C is the cur…

A: Given that  To find  ,where C is the curve of intersection of the plane  with the coordinate…

Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

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Q: 10. y is directly proportional If y = 6 when x = 4₁ find x when = 15. y = to X.

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem for the following function…

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Q: Find the distance (m) traveled by a particle in the x-y plane with position (x, y) for the time…

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Q: Find the curl of the vector field F = (2y cos(x), 7x sin(y)). curl F-

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Q: a₁ = 3,r=2,n=8

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Q: Complete the information below which possibilities for the local behavior of f(x)=2x³+2x² −8x-48.…

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Q: USE AN APPROPRIATE TEST TO DETERMINE THE CONVERGENCE OF 2n E n! n=o

A: We have given series-We have to find if the given series converges or diverges.

Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: To find the volume of the solid obtained by rotating about the x-axis the region under the curve .

Q: Which polar coordinate pair labels the same point as the one shown below? (-5. Select all that…

A: To find the polar coordinate pair that labels the same point as the one shown below.

Q: q2/(q2+pq) How can we simplify this further? How can it be simplified to q/p+q = q ?

A: To simplify the following expression.

Q: 1) Consider the function f defined piecewise. x < 2 f(x)= x³ +1₂ [x² + bx₂ x ≥2 a) Isf continuous at…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: We have given equations of two lines-We have to determine whether the lines intersect, and if so,…

Q: Consider the region R inside the graph of r = 5cos 0 and outside the graph of r = 5 - 5cos 0. Find…

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Q: 12. Isolate X. Answer with this structure: 0<x<1 7 itanu 6 <8-X < 20 lu

A: 6&lt;8-x&lt;20

Q: Question 1) Besides y = x², pick at least 2 other functions with even exponents to explore. List in…

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Q: Graph the lines 2x + 4 = 0 and 2x + 5y = −15

A: To draw the graph of the lines .

Q: Solve the following problem and show your complete solutions. Explain your answers for better…

A: given differential equation

Q: Find f F · dr' for F = -2y7 – 2x 3 – 5z k if C is the helix x = cost, y = sint, z = t, for 0 ≤ t ≤…

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Q: (b) Determine whether the sequence converges or diverges. If the sequence appears to converge, find…

A: we have given sequence

Q: o Center Financial Aid Student Accounts Resources estion 1 wer saved ints out of 00 Flag uestion…

A: The objective of the question is to calculate the food cost percentage for the first part and to…

Q: Find all horizontal asymptotes of the following function. ƒ(x) = 3(2x + 5)(2x - 5) 3(2x + 5)

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Q: Find Solution for log 2 8 * = -3 a) 1.0 b) 2.0 c) -1.0 d)-3.0 e) 1.5

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Q: Find the curl of the vector field F. F=(x-y+z)i + (3x − y + 8z)j + (5x + 7y+z)k curl F= k

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Q: U = Identify u and for the integral du dx 1 / ² (du) a dx || du dx (4 - 6x²)4(-12x) dx dx.

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Q: Find the Maclaurin series for f(x) = e-³x. Find the interval of convergence.

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Q: - Some books say that / csc(x) dx = Ln|csc(x) − cot(x)| + C, while other say that [csc(x) dx =…

A: The given integral is

Q: Use Euler's method with step size 0.1 to estimate y(0.2), where y(x) is the solution of the…

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Q: DOES THE SERIES 8101800 n=o n√nti 2n √n+3 CONVERGE? WHY OR WHY NOT?

A: To determine whether the following series converges.

Q: Use the formula for the slope of the tangent line to find dy for the curve c(t) = (t−¹ – 8t, 7t³) at…

A: Explaination of answer is as follows

Q: A projectile is fired vertically upward into the air, its position (in feet) above the ground after…

A: A projectile is fired vertically upward into the air, its position (in feet) above the ground after…

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

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Q: 1. For the equations below, graph the equations and shade the area of the region between the curves.…

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Q: Consider the parametric equations below. x = t2 − 2,    y = t + 3,    −3 ≤ t ≤ 3   Eliminate the…

A: Given,

Q: Find the following indefinite integrals: (a) S et 4e2x + 1 da (b) x² + x 4 dx

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Q: Determine the rule for a polynomial function with rational coefficients and least possible degree…

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