Use Pythagorean identities to find the indicated function value.tan ? = -6, 90° < ? < 180°; find sec ?
A. -7
B. -5
C. -
D. -
Answer: C
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Find the slope of the line through the points and interpret the slope.
A. ; for every 3-unit increase in x, y will increase by 1 unit
B. -3; for every 1-unit increase in x, y will decrease by 3 units
C. - ; for every 3-unit increase in x, y will decrease by 1 unit
D. 3; for every 1-unit increase in x, y will increase by 3 units
Provide an appropriate response.The standard normal probability density function is defined by f(x) = e- x2/2. (a) Use the fact that
dx = 1 to show that
dx =
.(b) Use the result in part (a) to show that the standard normal probability density function has variance 1.
What will be an ideal response?
Verify the identity.cos(? - ?) - cos(? + ?) = 2 sin ? sin ?
What will be an ideal response?
Solve the problem. Round your answer to two decimal places.The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 15 seconds?
A. 3600 ft B. 4050 ft C. 240 ft D. 3150 ft