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Given f(x,y) = sin (2x+3y), P(-6, 4), u = √(3)/2i-1/2j. Find:
1. The gradient of f.
2. Evaluate the gradient of f at point P.
3. Find the directional derivative of f passing through P in the direction of the vectur u.
asymptotes of trigonometric functions.graph y csc 0.5x pi2 and y cos 0.5x pi2 on one set of coordinate axes. label
A bin contains 62 light bulbs of which 7 are defective. If 4 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.
the cost of the fencing parallel to the stream is $15 per foot installed , and installed . Find the dimensions of the maximum enclosed area
How does a partial derivative differ from an ordinary derivative? When should we use partial derivatives and when should we use ordinary derivatives?
Find the equation of the line through AC. Find the equation of the line through S which is parallel to AC. Another point T lies on the line through AB such that its x-intercept (10, 0) is the midpoint between S and T. Find the coordinates of the poi..
The formula used to find the half-life of a substance is y = nekt, where y is the amount remaining, t is the amount of time in years, and n is the initial amount of the substance. Based on this information, what is the approximate value of k?
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
According to an article in the Maclean's magazine, "Cable, satellite and wireless companies may be charging illegal late fees. Companies may calculate a compounded late-fee rate of two percent a month. However, because they charge even if a customer ..
How rapidly is the area enclosed by the ripple increasing when the radius is 5 feet?
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Seven hours later they are 350 miles apart. If the Ship X had traveled 280 miles from the port, how many miles had Ship Y traveled?
question prove that the centroid of any triangle is located at the point of intersection of the medians. hints place
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