Graph the ellipse. Label the intercepts.
+ 
= 1
A. 
, 
, 
, 
B. 
, 
, 
, 
C. 
, 
, 
, 
D. 
, 
, 
, 
Answer: C
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Find T, N, and B for the given space curve.r(t) = (ln (cos t) + 8)i + 7j + (5 + t )k, -?/2 < t < ?/2
A. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = j B. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = -j C. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = -j D. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = j
Write the compound statement in symbols. Then construct a truth table for the symbolicstatement.Let r = "The food is good," p = "I eat too much,"q = "I'll exercise."I'll exercise if I don't eat too much.
A. ~(p ? q)
)
| T | T | T |
| T | F | F |
| F | T | T |
B. ~p ? q
| T | T | T |
| T | F | T |
| F | T | T |
C. ~p ? q
| T | T | F |
| T | F | F |
| F | T | T |
D. ~(p ? q)
)| T | T | F |
| T | F | T |
| F | T | F |
Solve the problem.A 15-kg mass is attached to a spring that hangs vertically and is stretched 1 m from the equilibrium position of the spring. Assume a linear spring with F(x) = kx. How much work is required to stretch the spring and lower the mass 1 m? Round to four decimal places when appropriate.
A. 220.5 J B. 36.75 J C. 183.75 J D. 367.5 J
Solve the system of equations by elimination, if a solution exists.
A. x = 30, y = -15 B. x = -30, y = 15 C. x = 0, y = 0 D. No solution