Write the equation of a sine function that has the given characteristics.The graph of y = 
, shifted 8 units upward
A. y = 
B. y = 
- 8
C. y = 
+ 8
D. y = 
Answer: C
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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
A. Local minimum at x = 1; local maximum at x =-1; concave down on (0, ?); concave up on (-?, 0) B. Local maximum at x = 1; local minimum at x =-1; concave up on (-?, ?) C. Local minimum at x = 1; local maximum at x =-1; concave up on (0, ?); concave down on (-?, 0) D. Local maximum at x = 1; local minimum at x =-1; concave up on (0, ?); concave down on (-?, 0)
Find the missing parts of the triangle. B = 104.3°a = 298 cmb = 1324 cmIf necessary, round angles the nearest tenth and side lengths to the nearest cm.
A. A = 15.6°, C = 60.1°, c = 1218 cm B. no such triangle C. A = 63.1°, C = 12.6°, c = 1218 cm D. A = 12.6°, C = 63.1°, c = 1218 cm
Find the principal unit normal vector N for the curve r(t).r(t) = (3 sin t)i + (3 cos t)j + 4k
A. N(t) = (-sin t)i + (cos t)j B. N(t) = (sin t)i + (cos t)j C. N(t) = (-sin t)i - (cos t)j D. N(t) = (-cos t)i - (sin t)j
Solve the equation.
- 4 = x
A. {18} B. {72} C. {36} D. {-18}