Numerade

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H M

Numerade educator

Suppose that x measures the time (in hours) it takes for a student to complete a comprehensive exam. All students are done within 2 hours and the density function for x is p(x) = { 3x^2 / 8, if 0 < x < 2 0, otherwise. (a) What proportion of students take between 1.5 and 2 hours to finish the exam? proportion = (b) What is the mean time for students to complete the exam? mean time = (include units)

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H M

Numerade educator

(1 point) For each set of Cartesian coordinates ( (x, y) ), match the equivalent set of Polar coordinates ( (r, heta) ), with ( 0 leq heta leq pi ) 1. ( (-4.1,5.4) ) 2. ( (-4.2,8.2) ) 3. ( (7.9,8.5) ) 4. ( (-6,9.8) ) A. ( (11.6043,0.8220) ) B. ( (11.4909,2.1202) ) C. ( (6.7801,2.2202) ) D. ( (9.2130,2.0442) )

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H M

Numerade educator

Evaluate the integral [ int frac{2}{(x+5)^{2}(x-1)} d x ] Note: Use an upper-case "C" for the constant of integration.

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Khushbu Rani

Numerade educator

Evaluate the indefinite integral. ? ???????????(5³ x? dx) / (25 - x²)¹¹?² =

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Zhumagali Shomanov

Numerade educator

Suppose parametric equations for the line segment between (4, -1) and (9, 3) have the form: x = a + bt y = c + dt If the parametric curve starts at (4, -1) when t = 0 and ends at (9, 3) at t = 1, then find a, b, c, and d. a = b = c = d =

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Hoan Nguyen

Numerade educator

Find the coordinates at times t = 0, 1, 3 of a particle following the path x = 6 + 9t^3, y = -(2 + 8t). t = 0: t = 1: t = 3:

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Hoan Nguyen

Numerade educator

Suppose that a density function is given by the formula [ f(x)=left{egin{array}{ll} frac{2}{135} x & ext { if } 0 leq x leq 9 \ frac{1}{3}-frac{1}{45} x & ext { if } 9 leq x leq 15 \ 0 & ext { otherwise. } end{array} ight. ] Find the probability that ( x ) is between 7 and 12 .