Determine whether the function is continuous at the given point c. If the function is not continuous, determine whether the discontinuity is removable or nonremovable. f(x) = cos
; c = 0
A. Discontinuous; removable, define f(0) = 0
B. Continuous
C. Discontinuous; nonremovable
D. Discontinuous; removable, define f(0) = 1
Answer: C
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Graph the function by hand. Use the graph to (a) find the range, (b) give the interval over which the function is increasing, and (c) give the interval over which the function is decreasing. Round approximations to two decimal places.f(x) =
A. (a) (-?, ?) (b) (-?, ?) (c) None B. (a) (-?, ?) (b) (-?, ?) (c) (-?, ?) C. (a) (-?, ?) (b) None (c) (-?, ?) D. (a) (-4, ?) (b) (-?, ?) (c) None
Decide whether the expression is or is not an identity.cot2 =
A. Identity B. Not an identity
Find the relative maximum and minimum values and the saddle points if they exist.f(x, y) = exy
A. Saddle point = (0, 0) B. No relative extrema or saddle points C. Relative minimum = 1 D. Relative minimum = 0
Solve the problem.The area of a rectangular garden is to be 230 ft.2. Find the length if the width must be 10 ft. (Use A = lw)
A. 220 ft. B. 25 ft. C. 22 ft. D. 23 ft.