Provide an appropriate response.Does the curve y = x3 + 4x - 10 have a tangent whose slope is -2? If so, find an equation for the line and the point of tangency. If not, why not?
What will be an ideal response?
The curve has no tangent whose slope is -2. The derivative of the curve, y ' = 3x2 + 4, is always positive and thus never equals -2.
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Find the slowest growing and the fastest growing functions as 
y = exy = ex/5y = xxy = 9x
A. Slowest: y = ex/5 Fastest: y = xx B. Slowest: y = xx Fastest: y = 9x C. Slowest: y = ex/5 and y = ex grow at the same rate. Fastest: y = 9x D. Slowest: y = ex/5 and y = ex grow at the same rate. Fastest: y = xx
Solve the equation.33t + 1 = 13t + 9
A. t = 
B. t = 
C. t = 
D. t = - 
The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. Find the velocity at time t and the distance traveled during the given time interval.
Solve for the variable.
x = -3
A. - 
B. 
C. - 31
D. - 