Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic in shape and the vertex of such parabola is at the end of the pipe. If at a point 8 ft below the line of the pipe, the flow of water has curved outward 10ft beyond a vertical line through the end of the pipe, how far beyond this vertical line will the water strike the ground?

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A: Please see the below picture for detailed solution.

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Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - 囡囡

A: Concept: The formula of tan(a-b) is tana-b=tana-tanb1-tan(a)tan(b)

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A: Given query is to find the solution of the quadratic equation.

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

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A: Let coordinate of point Pa,b

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A: We need to find the upper bound of the error

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A: Quotient Rule of Differentiation : ddx(uv) = v.dudx-u.dvdxv2.

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A: Concept: The derivative of arctanhx is 11-x2 ddxxn=nxn-1

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A: We will find the required arc length.

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A: The given initial value problem, y'+9y=e-9t, y0=1 We have to solve this problem using Laplace…

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A: We determine the equation representing f(x) and proceed further. Equation of line passing through…

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A: The function is given by fx = 6x2-3x+1       To evaluate: The values of f-2, f-1, f0, f1, and f2

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A: We will find the required integral.

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A: The given function is  f(x)=x2x+9

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A: P(t)=t^3+4t+10         rate of change=dP(t)dt             dt^ndt=nt^n-1

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A: ∫141 ∫x8x xydydx

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A: Consider the following function.gx=3x3-8xTo find the first and second derivatives of the function.To…

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A: Consider the given graph:

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A: Please see the below picture for detailed solution.

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A:

Q: Let f(x) ) = be a differentiable function with f'(x) ≥ 5 on the interval [-7, −1]. If ƒ(−1) = −1,…

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Q: 1) Given the graph of f(x), sketch the graph of f'(x). You may sketch directly over the given graph.

A: Make the graph of f'(x)

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A: Solve the given

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A: We will use the formula ddtmn=nm'-mn'n2

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A:

Q: then a = NO and b = --2- -1- Check Answer 6 - -1- -2- --3- W --4- LO CO -5 If this function has the…

A: This function has hole at x = -2 And vertical asymptote at x = 3 so Q(x) = (x+2)/{(x+3)(x+2)} so a =…

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A: The five-number summary is the minimum, first quartile, median, third quartile, and maximum

Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

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Q: Coshz= ête 2 Evakate Cos(+21)

A: As we know that,cos(x+y)=cosxcosy-sinxsiny.and sin(ix)=isinhxand…

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A: See this solution in below.

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A: Let's find equation of tangent plane to the surface at given point (-7,-8,1).

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A: Given data:- ∫243w281-w2 dw

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Given query is to find the population after 6 days.

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A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

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A:

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A: NOTE: Refresh your page if you can't see any equations. . the given sample data is  find the mean

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Given, y"-4y=8e3t, y(0)=4, y'(0)=0