A 5-pound monkey is attached to the end of a 30-foot hanging rope that weighs 0.2 pound/foot. The monkey climbs the rope to the top. How much work has it done? 134 ft-lb O 64.4 ft-lb O 90 ft-lb O 240 ft-lb

Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: log x² loga +log(xy)² +loga (*)-( log x loga xy • a, x and y are real numbers that are greater than…

A: Given that logaaxy+logaxy2+logaxy-2logxloga-alogax2Solution :logaaxy+logaxy2+logaxy-2logax-x2logaa…

Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: 17 Simplify cot(arcsec 1) undefined 1 0 -

A: Given problem:- Simplify cot(arcsec(1))   undefined 1 0 -1

Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

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Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

A: We have to find unit vector from given points.

Q: image

A: Please refer to the image below

Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [BX 8x √√x + c dx

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Q: 3. Worldwide annual sales of smartphones in 2013-2017 were projected to be a 9--10p+4,360 million…

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Q: If lim f(z) = 2 and lim g(x) = 7, then lim[3ƒ(z) — 4g(x)] = -22 G- *-b Ⓒ True O False

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Q: Find the area of the surface obtained by revolving the graph of x = y³ on the interval [0,1] about…

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Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the…

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Q: Given: A R= 8√3 1 2 2√3 30° R 4√3 B

A: here right angle triangle is given  so here we apply sine rule to find the R   sinA = opposite…

Q: 15. Find the inverse of matrix A. A = 38 26

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Q: A number is chosen at random from the first 20 integers. Find the probability that the number is a…

A: Topic = Probability

Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

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Q: Evaluate fxsin zdz. 00 01

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Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…

Q: Problem 2. Consider the lines 1(t) and r(s) defined below. l(t) = t+ r(s) = 8+ Your buddy Ron…

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Q: An investor has p1,000 income from bonds bearing 4% and 5% if the amount at 4% and 5% where…

A: Topic:- algebra

Q: 2. (yx + xycot x) dx + xdy = 0

A: Given problem:- Find the solution of the following differential equation.  (yx + xycot x) dx + xdy =…

Q: Given the function G(x)=√x² - 4, G(x - 1) = √x² 2x 3 x² 3 x²+2x-3 x²-3 O

A: Solution is done in step 2

Q: 1. Find the solution of the following differential equation.

A: We have to find the solution of the given differential equation.

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by the curves…

A: Cylindrical shell Method : If th eregion between the two curves y=f(x) and y=g(x) and f(x)≥g(x) is…

Q: 14. Solve for x. 2¯¾ = 8(x-3)

A: Given, 2-x2=8x-3

Q: A ferris wheel is 25 meters in diameter and boarded from a platform that is 4 meters above the…

A:

Q: 1. Evaluate the given integral Q. /9-22 Q= - 1²³ 1²/³3 (№²=³² 0 0 0 Your answer (y - x) dx dy dz

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Q: dr. T About OX -2 2 y=√16-1²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

Q: What is this character after the 16???

A: The number is  168.  The character after 16 is 8.

Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.

Q: C. d. -TT/6 -TT/8 (secx + tan x)2 dx (sin 2x) dx

A:

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

A: Given problem:- You are building a cylindrical barrel in which to put Dr. Brent so you can float him…

Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A: Solution is here

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: -10 5. Given the polynomial: 2x³ + 19x² + 32x - 21 A) List all of the possible rational roots: B)…

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Q: 2. (9x-4y+4)dx=(2x−y+1)dy=0

A: Given

Q: Evaluate the integral (1 + 2y)ªdy.

A:

Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w = b5 1₂ 6 are in the same Plane

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Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many…

A: Topic:- exponential growth function

Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-