Hey, I just need some help with the first problem here Consider the function f(x
ID: 3344798 • Letter: H
Question
Hey, I just need some help with the first problem here
Consider the function f(x, y) contour map given to the right. Find a unit vector in the direction of Find two unit vectors u such that The volume V of a pole with circular cross-sections is computed from its radius r and its height h. Use differentials (or a linear approximation) for the following If r is measured to be 6 feet with a possible error of at most 05 ft and h is measured to be 20 feet with a possible error of at most 1 ft, estimate the largest possible error when calculating that the volume V is pi 62 - 20 = 720 pi cu ft. If, unlike the situation in part(a), the percentage error in measuring h (for any value of h) is the same as the percentage error in measuring r (for any value of r), what is the maximum this percentage error can be so that the percentage error for V is at most 6%Explanation / Answer
del(f) is given by (df/dx)i + (df/dy)j + (df/dz)k.....at any given point x,y,z....just put the value of x,y,z in the final vector del(f)......for the second part....take a dot product of the vector obtained in first part and u...since their dot product has to be zero...the answer will be the vector perpendicular to the vector obtained in the first part...