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The concentration of salt in a fluid at the point (x,y,z) is given by S(x,y,z) = x2 + y4 + x2z2 (in mg per cubic cm). You are at the point (-1, 1, 1).
(a) In which direction should you move if you want the concentration to increase the fastest?
(b) You start to move in the direction you found in part (a) at a speed of 4 cm/sec. How fast is the concentration (of salt) changing?
the distanc3e between points A and B is 50 ft. Angle A measures 70 degrees, and angle B measures 65 degrees. A bridge will be built between points A and C.
Use the counterexample method to prove the following categorical syllogisms invalid.- Some school boards are not groups that oppose values clarification, because some school boards are not organizations with vision, and some groups that oppose valu..
23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
The player who draws a red tile first is the winner. In the first round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will win the game on his second turn?
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros
In a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? Probability Statistics Combination Application Word Problem
What is the variance for the number of heads in one flip of a coin? What is the sum of the variances for four independent trials of one flip of a coin?
train A is 20 mph slower than train B, If train A travels 190 miles and it takes train B to travel 290 miles in the same distance, How fast is each train going?
a sawmill runs for three 4-hour shifts per day. it produces 500 2x4s per hour which are divided into 50 piece bundles
Suppose that the number of tin cans recycled in a day at a recycling center is a random variable with an expected value of 50,000 and a variance of 10,000.
Using the source or sink, find an upper bound on the throughput from the server to your laptop.
question to protect their young in the nest peregrine falcons will fly into birds of prey such as ravens at high speed.
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