The graph of a function is given. Choose the answer that represents the graph of its derivative.
A.
B.
C.
D.
Answer: D
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FInd the tangential and normal components of the acceleration.r(t) = (cosh t)i + (sinh t)j + tk
A. a = ( sinh t)T + N
B. a = (-sinh t)T + N
C. a = (sinh t)T + N
D. a = (- sinh t)T + N
Find all possible functions with the given derivative.y' = 4x2 + 1
A. 8x + C
B. x3 + C
C. x3 + x + C
D. x + C
Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
A. function domain: all real numbers range: {y|-1 ? y ? 1} intercepts: (-?, 0), (0, 0), (?, 0) symmetry: origin B. function domain: {x|-? ? x ? ?} range: {y|-1 ? y ? 1} intercepts: (-?, 0), (0, 0), (?, 0) symmetry: origin C. function domain: {x|-1 ? x ? 1} range: {y|-? ? y ? ?} intercepts: (-?, 0), (0, 0), (?, 0) symmetry: none D. not a function
Solve the equation or inequality graphically. Express solutions or endpoints of intervals rounded to the nearest hundredth, if necessary. +
? -x -
(Provide exact answer.)
A. (-?, -] ? [
, ?)
B. (-?, ?)
C. ?
D. (-?, -] ? [
, ?)