Find the inverse transform of the given function of s. = 6s - 49 s²-85+41

Q: CALCULUS

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Q: boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on…

A: let x = horizontal distance from bow of the boat to dock  let y = height of dock  = 1 m = costant…

Q: Finally, f(x) = 5(x2-9). Practice Give an expression for f(x) using only Real-valued coefficients,…

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Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit realized from…

A: NOTE: Refresh your page if you can't see any equations. . the profit function is given by where…

Q: Find the point on the ellipse x² + 4y² + 2xy = 12 with the greatest x-coordinate.

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Q: Let f(x) = -6x4√√x + f'(x) = -2 x³√√x

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Q: b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an…

A: Please see the below picture for detailed solution.

Q: 1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand…

A: The given price-demand equation is, x2+5px+10p=220

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Q: Find the equation for a polynomial f(x) that satisfies the following: ■ Degree 4 ▪ Root of…

A: The number of times a given factor appears in the factored form of the equation of a polynomial is…

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Q: Given y = x³ 11 Bac 2³/27x² + 2x, find dy dx H Use the math type b

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Q: Find Vectors and Perform Vector Operations in R³ Vector 7=(2, 0, − 1) has initial point (-9, 7, 3).…

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Q: Perform the following operations on the vectors μ = (3,-2), 7 = (0, −5), and w = (-4,-2). ü.w=…

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Q: Solve (ysinx + xycosx)dx + (xsinx + 1)dy = 0 Select one: O a xysinx+y=c O b. xsinx + y = cy O c.…

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Q: Consider following ODES: 1)4y" +12y' +13y=0,2) 2y″ +7y' + 5y = 0 a) Find characteristic equation and…

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Q: 21. If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f'(1).

A: Topic - functions and derivatives We are given , f(x)+x2[f(x)]3=10  and f(1)=2We know…

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Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: Find the PS for (x²y" + 2xy' - 12y = 0 y(1) = 1 y'(1) = −1

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: True or false: the limit as x approaches infinity of (x^2-x) =0

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Q: J. R (x + y) dA where R is the region bounded by y = √x and y = x².

A: The answer is in step 2.

Q: 42. The term that does not contain x in the expansion of 8x +

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A: Given, y=3x-6

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Q: 1. A watermelon is spherical in shape and its diameter (not including the rind) is 20 cm. The r is…

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Q: EXAMPLE 2 A ladder 10 ft long rests against a vertical wall. If the bottom of the lad- der slides…

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Q: Find the derivative

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

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Let s(t) = 6t³ + 9t² - 216t be the equation of motion for a particle. Find a function for the…

A: Given data:- The equation of motion for a particle is, st = 6t3+9t2-216t

Q: Consider the following figure. To -6 -5 -4 -3 -2 -1 11+ 10+ 9+ 8- 7+ 5 5+ 4- لیا 3- 2+ 1- O -1+ 2 N=…

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Q: Given the coordinate matrix of x relative to a (nonstandard) basis B for R", find the coordinate…

A: Solution:

Q: Answer the following p

A: Given ∫516x2x-5dx The objective is to evaluate the integral.

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Q: The force on an object is F=- 24j. an for the vector P = -40i+ }, Find a) The component of F…

A: Given the force vector  F→=−24j

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The given data is: A population of particular yeast develops with a constant growth rate of 0.4321…

Q: Let a = (9,5) and 6 = (5, -3). Compute the following vector projections. proja b projz a =

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Q: 1. Exponential growth and decay can be expressed as A(t) = Apekt, where A(t) = the amount at time t…

A: if  k>0   ,  Exponential growth k,0   , Exponential decay

Q: Write the particular solution of the first order linear differential equation dy + (ytanx - cosx)dx…

A: We need to solve D.E.

Q: The height y, in feet, of a ball thrown by a child is 1 -x² + 6x +5 y = 14 where x is the horizontal…

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Q: Solve the initial value problem y" + 4y + 4y = 32e²; y(0)=-1, y'(0) = 14. +Set →→ (Answer: Y =…

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Q: Suppose that an automobile's velocity starting from rest is v(t) = decimal place. O 3.3 ft/sec² O…

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Q: Evaluate the following integrals using substitution(s) 1. √ 2x(x² + 1) ²³ dx 2. [4e³x dx 3. [(1 +…

A: To evaluate : ∫2xx2+123dx ; ∫4e5x ; ∫1+cosx2dx We have to evaluate the above mentioned integrals…

Q: Find the differential of the function f(x, y) = x√y at the point (2, 7) using Az = 0.3 and Ay = 0.15…

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Q: If x² + y² + z² = 9, dz dt = dx Š dt dy dt = 4, and = 3, find dz dt when (x, y, z) = (2, 2, 1).

A: x2+y2+z2=9 dxdt=4 and dydt=3 (x,y,z)=(2,2,1)   Differentiate the given function with respect to t:…

Q: Find the equation of the line L that passes throught point P(6, – 6, 3) and Q( − 4, 3, — 2). r(t) =…

A: To find the equation of the line L that passes through points P6, -6,  3 and Q-4, 3, -2.

Q: It still seems to be a incorrect answer

A: The given function is; f(x,y,z)=√(4x2+3y2+2z2)

Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

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Q: Find Distance and Equations in R³ Write an equation for a sphere centered at the point (6,-4,-8)…

A: Need to find out the equation of sphere with the given center and radius.