Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway (see figure). Find an equation the parabola. X y 1000 500 -500 -1000 Interstate 500 Street (1000, 800) 1000 1500 (1000,-800) 2000

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A: Given y=x3 x+y=30 and y=0

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A: We can evaluate the sum of n terms by using the following results.

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A: GIven: the equation z =ln(x2) +2xy-ex y

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A: Answer: As per guidelines we can do only first three subparts of question , so post other separately…

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A: Topic:- application of integration

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Q: with B(1) 100 B= Find the solution to the differential equation = = dB dt +5B = 80,

A: To find the solution to the differential equation.dBdt+5B=80, with B1=100

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A: Given,

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A: We can find the answer as below,

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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: Topic = Derivative

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A: To find the divergence of the given vector field.

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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: Given; r(t)=6cos(t)i + 6sin(t)j.

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Q: Find the volume of the solid generated by revolving the following region about the given axis. The…

A: Please see the below picture for detailed solution.

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A: Let's find slope of all figure.

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Q: 10. Given f(x) > 0 with f '(x) 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the…

A: Given f(0)=1f(2)=0.2given values are for the left, right, trapezoidal, and midpoint rule…

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