Find the exact length of the curve. x = et − 4t, y = 8et/2, 0 ≤ t ≤ 5

Fahad Khaleefoh M145Haruta Assignment ArcLength due 03/13/2017 at 08:00am EDT

1. (1 point) To find the length of the curve y = 4x5 +8x from the point (-1,-12) to the point (4,4128), you’d have to compute∫ b

a f (x)dx

where a= , b= , f(x) =

Answer(s) submitted:

• -1 • 4 • (20xˆ4+8)

(score 0.6666666865348816)

2. (1 point) Find the length of the arc formed by x2 = 9y3

from point A to point B, whereA = (0,0) and B = (81,9)

Answer(s) submitted:

• (incorrect)

3. (1 point) Find the length of the curve defined by

x = et −4t,y = 8et/2,0 ≤ t ≤ 3

Answer(s) submitted:

• (incorrect)

4. (1 point) Find the length of the curve defined by

x = 6t3,y = 3t4,0 ≤ t ≤ 1

Use your calculator to approximate the integral.

Answer(s) submitted: •

(incorrect)

5. (1 point) A hawk flying at 15 m/s at an altitude of 160 m accidentally drops its prey. The parabolic trajectory of the falling prey is described parametrically by

x = 15t,y = 160−4.9t2

until it hits the ground. The variable x represents the horizon- tal distance traveled by the prey and the variable y represents its height above the ground. Calculate the distance traveled by the prey from the time it is dropped until it hits the ground. Express your answer correct to the nearest tenth of a meter.

Answer(s) submitted: •

(incorrect)

6. (1 point) A cable hangs between two poles of equal height and 30 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is

h(x) = 10+(0.5)(x1.5). The cable weighs 13.1 pounds per linear foot.

Find the weight of the cable.

Answer(s) submitted: •

(incorrect)

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