Vector V with magnitude  forms an angle with the positive x-axis. Give the magnitude of the horizontal and vertical vector components of V, namely  and 

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What will be an ideal response?

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66; 0 

Mathematics

Solve the problem.At about what velocity do you enter the water is you jump from a 15 meter cliff? (Use g = 9.8 m/sec2.)

A. -17 m/sec B. 2 m/sec C. 17 m/sec D. -8.5 m/sec

Solve the problem.A spherical water tank with an inner radius of 10 m has its lowest point 1 m above the ground. It is filled by a pipe that feeds the tank at its lowest point (see figure). Neglecting the volume of the inflow pipe, how much work is required to fill the tank if it is initially empty? Express the answer in terms of ?. 

A. ? J
B. ? J
C. ? J
D. ? J

Evaluate the integral. 

A.  e^t ln -  e^t ln + C
B.  ln -  ln + C
C.  ln +  ln + C
D.  ln -  ln + C

Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.

A.   local maximum;    saddle point;    saddle point;    local minimum;    local minimum
B.   local maximum;    local minimum
C.   local maximum;    saddle point;    saddle point;    saddle point;    local minimum;    local minimum;    saddle point;    local minimum;    local minimum
D.   local maximum;    local minimum;    local minimum;    local minimum;    local minimum