Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 > 64
A. All points outside the cylinder with radius 8
B. All points outside the sphere of radius 8
C. All points on the surface of the cylinder with radius 8
D. All points in space
Answer: B
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 3, u '(1) = -5, v(1) = 6, v '(1) = -4.
(uv) at x = 1
A. -42 B. 18 C. -39 D. 42
A hypothesis test is to be performed. State the null and alternative hypotheses.In a clinical study of an arthritis medication, 28% of those taking the placebo reported improvement. The manufacturer of the medication claims that among those taking the medication, the proportion reporting improvement will be higher than this.
A. Null hypothesis: proportion reporting improvement < 28% Alternative hypothesis: proportion reporting improvement > 28% B. Null hypothesis: proportion reporting improvement > 28% Alternative hypothesis: proportion reporting improvement = 28% C. Null hypothesis: proportion reporting improvement = 28% Alternative hypothesis: proportion reporting improvement > 28% D. Null hypothesis: proportion reporting improvement = 28% Alternative hypothesis: proportion reporting improvement ? 28%
Decide whether the argument is an example of inductive or deductive reasoning.If (-p)2 = p2, then (-6)2 = 36
A. Inductive B. Deductive
Find all values of ? in [0°, 360°) that satisfy the equation.sin ? = - 
A. {210°, 330°} B. {150°, 210°} C. {60°, 300°} D. {60°, 120°}