Solve the problem.Show that if a particle's velocity vector is always orthogonal to its acceleration vector then the particle's speed is constant.
What will be an ideal response?
Given: v and a are orthogonal. Thus v?a = v?(dv/dt) = 
d(v?v)/dt = 0.
So, v?v = 
2 = constant and thus 
= constant.
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Find the area of the circle.A circle with diameter 15 cm
A. 94 cm2 B. 180 cm2 C. 47 cm2 D. 710 cm2
Find the intervals on which the function is continuous.y = 
A. continuous on the interval [
, ?)
B. continuous on the interval [-
, 
]
C. continuous on the intervals (-?, -
] and [
, ?)
D. continuous everywhere
Find the standard deviation s for the given data. Round your answer to one more decimal place than the original data.A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. 
A. 7307.7 B. 8111.5 C. 7892.3 D. 7673.1
Find the intercepts for the equation.x + y = 5
A. x-intercept: 2; y-intercept: 3 B. x-intercept: 5; y-intercept: 5 C. x-intercept: 0; y-intercept: 5 D. x-intercept: 5; y-intercept: -5