Find the velocity vector in terms of ur and u?.r = 2 cos 2t and ? = 4t

A. v = (-8 sin 4t)ur + 4cos 4tu?
B. v = (4 sin 2t)ur + 8cos 2tu?
C. v = (-4 sin 2t)ur + 8cos 2tu?
D. v = (-2 sin 2t)ur + 8cos 2tu?


Answer: C

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = (2x + 10)3

A. y = u3; u = 2x + 10;  = 6(2x + 10)2
B. y = 3u + 10; u = x3 = 6x2
C. y = u3; u = 2x + 10;  = 3(2x + 10)2
D. y = u3; u = 2x + 10;  = 2(2x + 10)3

Mathematics

Find the equation of the least-squares regression line. Graph the line and data points on the same graph.

A. y = -2.79 + 0.950x


B. y = -2.79 + 0.897x


C. y = -3.79 + 0.801x


D. y = -3.79 + 0.897x


Mathematics

Change the mixed number to an improper fraction.7

A.
B.
C.
D.

Mathematics

A diagnostic test for a certain disease has a sensitivity of 0.86 and a specificity of 0.92. The probability that a patient has the disease is estimated as 0.3. The diagnostic test is given and returns positive. What is the posterior probability that the patient has the disease?

What will be an ideal response?

Mathematics