Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes from 1 to ∞.

Q: Assume that f(x) and g(x) are both differentiable functions for all x. Find the derivative of the fu...

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Q: The current population of a small town is 3910 people. It is believed that town's population is trip...

A: In this question we have to find the population of the small town after 3 year from now.

Q: Obtain the solution of the following differential equations. 4. y′ =x2+y2/xy

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

Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

A: Given query is to find the derivative of the function.

Q: Assume that ƒ(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

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Q: 1. siny dx + (x - sin? y)dy=0

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Q: Give an example of a definite integral which has value 2022. Only answer is required.

A: Example of a definite integral has value 2022.

Q: Find an equation of the tangent line of y = e" cos T, at z= 0.

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A: Here we have to check the convergence of integral.

Q: QUESTION 6 Evaluate the integral. Give an exact answer. x?In(2x)dx [Ans] Show your work separately a...

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Q: O 2. Choose the best answer. Find the area of the triangle to the nearest tenth square a = 17 inches...

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Q: l+ cost = ip- cot²tdt 1- cost (A) True B) False

A: From formula Cos θ = 2 Cos2(θ/2) -1   Cos θ = 1 - 2 Sin2(θ/2) (1+ Cos t)/(1-Cos t) =(1+2Cos2(t/2)-1)...

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: Find the measure to the nearest tenth of the unknown angle given a = 8, b = 13, c= 20. Use a Find mL...

A: Given problem:- Find the measure to the nearest tenth of the unknown angle given a = 8, b = 13 , c =...

Q: 15. You are given the following two planes: x+4y – 3z– 12 = 0 x+6y-2z-22 =0 f) Find a third equation...

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Q: 2. Choose the best answer. Find the measure to the nearest tenth of the unknown angle given a = 8, b...

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Q: 1.Determine the formula for the nth term of the following sequences: 2 а. 2 33 53 -1 1 -1 b. 1!' 3! ...

A: Given :a) 213, 0, 233, 0, 253,...b) 11!, -13!, 15!, -17!,...

Q: Use integration by parts to show that, for n > 2, 1 cos a sin"-1 n 1 sin"-2 xdx. n - sin" xdx = x + ...

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Q: OBTAIN A FAMILY OF SOLUTION 1. (5 v- U) du + (3V -7U) dv=0 2. (x - yny + ylnx) dx + x CIn y - In x)d...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: SEQUENCES) given the nth term a↓n , find the first four term of each sequence

A: This question is from series where a nth term is given and we can find any term by putting value of ...

Q: Use your analytic calculation to show me: sin' 0 do = 0 -27 sin e de = 7

A: Given problem:-  

Q: Construct tangent segments drawn from an external point to a circle are congruent. Given: Tangents a...

A: Given problem:- Construct tangent segments drawn from an external point to a circle are congruent.  ...

Q: Evaluate S2 sin? x cos3 x dx

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Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: | 4²(1–y)dy o1(1-y)csc

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Q: Consider the surface given by the equation z – y = x². Draw a total of at least 3 traces in at least...

A: It can be solved in 2nd part using simple geometry.

Q: 1 x-1, 2 x 0 Is f(x) continuous at x = -4? O a. Yes, the limit from the left-hand and right-hand sid...

A: Check the countinuity of the function at x=-4 .

Q: r. Given: mLA = 15°; a = 10; mZB= 57° Find b. |3D

A: Topic:- trigonometry ratios

Q: D 45.5° 11. Choose the best answer. Use double-angle identities, 2u = 48 to find sin 2u. O 0.7431 O ...

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Q: The point (-3,4) belongs to the graph of the function f(x). What is the corresponding point on the g...

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Q: Problem 4: Using the method of shells, find the volume of revolution formed by revolving around the ...

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Q: Find the value of k so that the value of (2x – 1) dx is 4. А) з в) 2 D) 5

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Q: 7(t) =

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Q: For the following exercises, find the exact area of the region bounded by the given equations if pos...

A: Area between curves x2=y3 and x=3y

Q: Assume that f(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

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Q: Find the area enclosed by the x-axis and the curve y=4-x2. A 18 square units 32 B square units 3 © 3...

A: topic - area under the curve

Q: |sin (x)cos (x) dx

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top ...

Q: The price-demand equation and the cost function for the production of a certain product are given, r...

A: Given: p= 15-0.005x C(x) = 2000 + 3x  

Q: Find the area of the region bounded by the curves y = xe3x-+3 x-axis and the lines x = 0 and x = 1. ...

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Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters

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Q: A. Determine if the following functions are continuous at x = c. (k) f(x): 22 – 4 ;c= 2 x - 2 (1) f(...

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts if there are multip...

Q: *.. .... Find the standard form of the equation of the parabola with the given characteristic(s) and...

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Q: 4. Find the limit: lim (b) lim -5x+4 x-4 X-4

A: We can find the limit using the L'Hospital rule.

Q: Tutorial Exercise Find the derivative of the function. F(t) = 5 sec (mt - 7) Part 1 of 5 into f to m...

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Q: Derive the following formulas using the technique of integration by parts. Assume that n is a positi...

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Q: Obtain the solution of the following differential equations. 1. xdy − ydx = x^2dy 2. xdy − ydx − √x...

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Q: Find the lim and lim of cos(2x³). 0--x

A: The solution are next step

Q: If f(r) 2x(sin z + cos ), find f'(z). f'(#)- Evaluate the derivative at a = 3. Enter an approximatio...

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

Q: Find the derivative of f(x) = sin (x) and find an equation of the tangent line to the curve f(x) at ...

A: We have to find f'(x) and tangent line.