Jse one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 – cos(t). A = x dy фхау — у dx 2 Jc = - 6 y dx =

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A: This question can be solved using the concept of compound interest.

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Q: The graph below is the function f(x) 03 -5 -4 -3 -2 3 4 -2 -4 -5 Find lim f(x) = x→ -1 Find lim x→…

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Q: If 5a + 3x + ry = 1 and y(1) = - 7, find y'(1) by implicit differentiation.

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Q: In spherical coordinates equation for the paraboloid z = 2- x - y is p(cos o- psin? $) = 2 Select…

A: We have to find out  spherical coordinate

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A: Given query is to find the value of a and b.

Q: Eind three nocit Pumborg uhece Cum is 100 ond whece produet is mum

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Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A: Explanation of the answer is as follows

Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at ct

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Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: Select a scatter plot of the given data. 4% 6% 8% 10% 12% 14% t 28.01 18.85 14.27 11.53 9.69 8.38 90…

A: topic - exponential decay function

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A: Solve the following

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A: Solve the following

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Q: 3 a. f(x) = V3x³ – 2 - b. y = (vx + 1)(x² – x) 2x5-3 c. f (x) coS x

A: a) fx=3x3-23b) y=x+1x2-xc) fx=2x5-3cosx Note:   Multiple parts are given, we are answer only three…

Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

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Q: f(x) = {x² + 4, x > 1 (4х + 1, х < 1 at a = 1; (1,2) ||

A: From the given, to determine whicch of the following statements is False.fx=x2+4, x≥14x+1, x&lt;1 at…

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Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: ve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8 ; y(0) = 0, y'(0) = 0 -

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Q: 2013 2009

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Q: Determine the principal P that must be invested at rate r= 3%, compounded monthly, so that $500,000…

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

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Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

Q: The equation yz = 2ln(x + z) defines a surface S in R3. The point P(0,0,1) is on the surface. (a)…

A: The given equation is: yz=2ln(x+z)⇒f(x,y,z)=yz-2ln(x+z)...(1)...(1) a) Now, the equation of the…

Q: Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.…

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

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)

Q: POS jma- 3 d 1 sin t dt %3| dx 1 1 (A) – x sin(x²) (B) sin(x²) (C) x sin(x²) (D) –sin(x²) ов O O O O

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Q: Workout Problem Question 1 2 a. [ Compute the integral I = S Se S" czdzdydx b. [ write the equation…

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Q: EXAMPLE: Method of variation of parameters. Solve the nonhomogeneous ODE %3D sec x = %3D COS X

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Q: tan -x -dx is equal to ONE of the followir The integral (HINT: Use Maclaurin series) Σ n=0 2" +'(2n+…

A: Here is the solution

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Given; Half life of 14C = 5715

Q: f(x) = x³ + 12x2 – 27x + 5 over each of the indicated intervals. (a) Interval = [-10,0]. 1. Absolute…

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Q: 8. h(x) = (sin x )V tan²x + 1 %3D

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Q: Consider h(x, y, z) = cos (xy) + eyz + ln (xz). Determine the directional derivative of h at the…

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Q: Find the critical numbers of the function. g(x)%3D8X+sin 8x

A: Given query is to find the critical numbers for the function.

Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

Q: You want to construct a box whose height is twice the base length.  The material used to build the…

A: Here, let h be the height, l be the length and w be the width of the box. Then given that height, is…

Q: Find the valve of k so that (2y sın x cos x -y + 2 y e** ) dx - (x - sın' x + kxye*) dy 0 becomes…

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Q: A 25-year-old woman burns 600t cal/hr while walking on her treadmill. How many calories are burned…

A: Given  Amount of calories burn per hour = 600t

Q: 2x-x -2x +1 3 2x-1

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Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.