1. Use the midpoint rule with n = 6 to estimate the value of the integral (x3 + x)dx.

Q: C(0, 1) B(1, 1) y = Vx R2 R3 y=x' A(1, 0) Referring to the figure above, find the volume generated…

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Q: Assume that the recursively defined sequence converges and find its limit. 10a a, = 10, an+1 (Type…

A: Use limit concept

Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. u.) 4

A: The region bounded by the curves y=x3, y=x+6 & 2y+2=0 is:

Q: Evaluate the integral. xp S

A: Given,  ∫ x4x5+4dx

Q: Find the minimum and maximum of the function y = z - 12005z on [-8, 8] by comparing values at the…

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Q: Onelogin - Section 10.4 Homework courses/46921/assignments/1001688?return…

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Q: 4) Find the sum =1 an for the geometric sequence an = 10 - 3 %3D

A: The geometric sequence, an=10.3n-1

Q: Evaluate the integral. (Use C for the constant of integration.) | 1923e dz

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Q: ermine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A: Given query is to find the infection point and interval of concave up and down.

Q: The curve x + y = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: com/courses/46921/assignments/1001688?retum to-https%3A%2F%2Fnctc.instructure.com%2Fcalendar%23view…

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Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: Given problem:- f(x) = x3 - 9x2 + 24x - 10 To find:- i) the critical values   ii) the intervals of…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If 7+ 2n2 an…

A: We have to find out limit

Q: The graph of f' is shown. Find the interval(s), if any, on which f decreases. 10 y =f '(x) -2 4 6. 8…

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Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

A: Given query is to find the derivative if the expression.

Q: Find the inverse of the function on the given domain. f(z) = (x – 14)2. [14, 0) f-1 (2) =

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Q: 2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = 2, x= 3, y=0 about…

A: We have to find the volume of the solid.

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: (Simplify your answer.) (Simplify your answer.)

A: We have to find the value of the given condition  according to the given information

Q: Write sigma notation. 5-25 + 125 - 625 +3125- 15625 The sigma notation is k = 1

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Q: H.W. 1. Find the arc length of the curve x = (y + 2)/2 from y=0 to y=1

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Q: 17. Find the interval of convergence for E(-1)"-1÷) x'

A: To find the interval of convergence.

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 16 and with its…

A: A rectangle is constructed with its base on the diameter of a semicircle with radius 16 and with its…

Q: Draw an image o

A: answer is in next step

Q: Suppose that F(x) = /. f(1) dt, where V6 +u du. f(t) =

A: Given F(x)=∫1x f(t) dt where f(t)=∫1t4 6+u5u du

Q: Find all critical points of the function f(x) = x³ - x? – 54x + 6. (Use symbolic notation and…

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Q: f(x) = lnx/sqrt(x) Find interval of increasing/decreasing: Local max and mix values:

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Q: The future value at 5.25% interest, compounded continuously for 7 years, of the continuous income…

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: We have to find the solutions

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Find tan 0. N39 A) tan 0 = 539 8/39 B) tan 0= 39 C) tan 0 D) tan 0 = 39 5/8

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Q: Find the radius of convergence, R, of the series. 00 (x - 5)" n = 1 R 3= Find the interval, I, of…

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Q: Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) %3D Źx(-2sin2x) %3D…

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Q: Does the series E n+1 converge or diverge? n-1 Choose the correct answer below. O A. The nth-term…

A: Here we will check whether series is converges or diverges,

Q: Please solve using the method of Undetermined Coefficients. 3. (a) Find the general solution of the…

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Q: If f(x) = 6 sin- (x), then f'(x) =

A: We have to find solution

Q: Use function composition to determine if f (x) and g (æ) are inverse functions. f (x) = Vx+I and g…

A: f(x)= x+13g(x)=x3+1Let y=f(x)y=x+13cubing on both sidesy3=x+1x=y3-1since y=f(x), so…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or…

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Q: Compute f(x)dx f(x) = { 2x if x 1

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Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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Q: answer

A: We will find the particular solution.

Q: ou can compare using the Limit Comparison Test. Then deter 00 1 1 Σ C. and D. 1 n2 n3 n=1 n3/2 n=1…

A: We have to match according to the given information

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)" 6n + 1 n = 1

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Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

A: We have to find if the given statement is true or not.

Q: by any method.

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Q: For the differential equation (x2 – 9)y" + (x – 3)y' + 2y = 0, a regular singular point is: O x=3…

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Q: 5 (а). and the bottom of the box costs 3 TL per cm². The sides of the box costs 1.5 TL per cm². We…

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Q: A roctangular tonk uith a cauaro boco and a volumo of 2.016 e3 dimoncions of tho tank that hac 1o…

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Recall:  L=∫abr(θ)2+r'(θ)2dθ We have, r=7sinθ+2cosθ, a=0, b=π