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Use the arc length formula to find the length of the curve y = 9 - 4x, -2 s x S 3. Check your answer

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Use the arc length formula to find the length of the curve y = 9 - 4x, -2 s x S 3. Check your answer by noting that the curve is a line segment and calculating its length by the distance formula. 18 16 14 12 10 2 X -3 -1 1 3 -2 -4Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to four decimal places.) y:xsin(x), OSXSZIT : Find the answer produced by a calculator or computer to compare with the previous result. (Round your answer to four decimal places.) Need Help? @ SubmltAnswer /1 Points] SCALCET9 8.1.045. MY NOTES PRACTICE ANOTHER A graphing calculator is recommended A hawk ying at 11 m/s at an altitude of 1.32 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 132 , "_ until it hits the ground, where y ls its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled [in m) by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter. :m Consider the following function. x 6 dx 1 + x2 (a) Determine an appropriate trigonometric substitution. O Use x = sin(0), where - _ 0<_ since the integrand contains expression v x2. o use x="tan(0)," where _ it or n apply substitution to transform integral into a trigonometric integral. do not evaluate x6 dx="de" x2consider following function. x3 . x2 determine an appropriate substitution. sin h s x2- iii:- tan e sec l r: y fdxi>69 Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) x3 /: dx, X = 4 tan(6) \ 16 + x2 Evaluate the integral. 5 0 dx a>0 (a2 + x2)3/2' Need Help? Read It Watch It Submit Answer [-/1 Points] DETAILS SCALCET9 7.3.015.MI. Evaluate the integral. dx 2 (x2 - 1)3/2

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