[7] Use long division and complete the square to solve the following integral. x² - 4x-2 dx x² - 4x-3

Q: 13. A particle moves along a line so that at time t, where 0 ≤ t ≤ π, its position is given by t²…

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Q: between the curve of the function f(x) = 2x and the x-axis over the interval [-3, 3].

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Q: 4) Write an equation for a sphere centered at the point (4,6,-1) with radius 8

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Q: Find the area under the curve y = 4x³ over the interval [0, 2]

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Q: (4) Determine whether the series converges conditionally, absolutely or diverges. (a) (b) IMBIMB n=1…

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Q: Consider the series n=1 an where an = √n +5(n+3)! en-7 In this problem you must attempt to use the…

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Q: f(u) -Using the u-substitution, u = x + 3, identify f such that the integral√x +3 dx, takes the form…

A: ∫xx+3dx

Q: Consider a triangle ABC for which ZA= 105°, a = 28, b = 18. If such a triangle can not exist, then…

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Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

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Q: √x√12x² + 4 dx

A: We can solve this as follows:

Q: If f(x) = (3x+1ifx -1 A B f(2)=7 f(-1) = -3 f(2)=-9 f(-1) = -3 f(2)= -9 ; find f(2) and f(-1)

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: If the marginal revenue for ski gloves is R'(x) function. R(x) = = - 0.6x + 50 and R(0) = 0, find…

A: If the marginal revenue fro ski gloves is R'x=-0.6x+50 and R0=0, to find the revenue function.

Q: 2 Find the sum of a 7+9+11+13+ to 10 terms b

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

Q: late the limit algebraically. h² lim h→0 3h + 4h² OOOO answer does not exist, enter DNE If the limit…

A: Given query is to find indicated limit.

Q: car travels xm, 7.5m, 11.25m and 16.875m in the first, second, third and fourth minute of its…

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Q: Evaluate *(1-x)¹/3 da. Hint: use substitution. Select one: O a. 27 220 O b. 0 с. O d. 28 27 140

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Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

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Q: 2y"+y'-6y=0?

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is

Q: Evaluate the integral. 1₁ w² w² In(w) dw

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Q: Suppose f(x, y) = xy² + 3. Determine each of the following: f(0, -2)= f(-2,0)= f(0,0)= f(-3,-2)=…

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Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) = 2.5x + 115…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is

Q: 9.

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e5, where the value ab is as…

A: Let's find point by using Lagrange multipliers.

Q: The temperature of a city t hours after 8am is modeled by the Function T(H) = 70 +19 sin(πtt/12)…

A: The tempearture of a city, t hours after 8 am is modeled by the function,Tt=70+19 sinπt12.To…

Q: 10 Juno aun DULI 20 material used. List them in ascending order. IM XOO DIRC

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Q: For the D.E. d+7x²y = 0 y(0) = 2, the value of y(1) is

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Q: A ball is thrown upward from a height of 2 m at an initial speed of 40 m/s. Acceleration resulting…

A: Let's find velocity and height function.

Q: Determine each of the following limits using any technique, 3x-2x x-0 7x-4x b. lim (In(x)) a. lim c.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the divergence of the field. F = 6ze5xyzi + 6ze5xyzj + 6ye5xyzk div F =

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Q: Use the table of frequently used Taylor series to find the sum of the series. 22 76 I 2².21 24.41…

A: Given: 1- π222.2!+π424.4!-π626.6+... To find: the sum of the given series

Q: If for some function f(x), then: Timm 2 ² / ( 5 + ²2 ) n→∞0 n j=

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Q: Q6. How many arbitrary constant in a particular solution of a fourth order differential equation?…

A: It is asked about particular solution.

Q: Evaluate the integral. [²8+ ¹8+u² u³ 3 - + log (2) du

A: ∫248+u2u3du

Q: et = 8 M8 n=0 en n!

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Q: c4 (ex + √x) dx

A: Given query is to find the value of the integral.

Q: S 3 dx 5x² + 11x + 13/2

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Q: ze pu хе and Ze ле of ye"- 5 sin 32 32

A: Given query is to find indicated derivative.

Q: che marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function. [x)…

A: Given query is to find the cost function.

Q: Find each limit, if it exists. If the limit does not exist, explain why, lim (x³ + 2)(x² - 5x) x-3 x…

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Q: Determine if p2 – 5+4 lim x1 x² + 4x - 5

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Q: Find the indefinite integral. X LA 1-X dx

A: Let's solve indefinite integral.

Q: could you please simplify what it means after the third U in both answers . like write it in another…

A: Please see the answer.

Q: Let g be differentiable with g(-1) = 2, g'(-1) = -3, and a tangent line approximation of g(-1.024) =…

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Q: 19. Simplify the expression 52+log5 (2) completely.

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Q: Find the general term of the sequence, starting with n= = 1. Determine whether the sequence…

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Q: + 4 -1 -3 1dz = -2 given below. -1 2 -1+ Q the limit definition of the definite integral to…

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Q: 3) T Quadrant Reference Angle Sin()= 3

A: given  θ=4π30  to 90 degree-  1 quadrant90 to 180 degree - 2 quadrant 180 to 270 degree - 3 quadrant…

Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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