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Find the parametric equations for the tangent line to the curve x = t^{5} - 1, y = t^{5} + 1, z = t^{3} at the point (242, 244, 27). Use the variable t for your parameter.
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
Suppose that you have a set, if you remove some things from the set, will the remaining things always contain fewer items in it than the original set ?if so why? if not show with a proof.
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?
At the beginning of an experiment, a scientist has 208 grams of radioactive goo. After 165 minutes, her sample has decayed to 6.5 grams.
Then explain how the values of the slope affect the overall meaning of the equation.
In a certain manufacturing process the probability of a type I defect is 0.14, the probability of a type II defect is 0.34, and the probability of having both types of defects is 0.04. Find the probability of having neither type of defect.
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of 2100 . What was the rate charged per hour by each mechanic if the sum of the two rates was 190 per ..
An airplane is flying on a compass heading of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane and find the actual ground speed and direction of the plane.
company recently lowered its service performance from 99% product availability to 97% product availability. The change saved the company exactly $1million per year in inventory carrying cost.
The probability that a basketball player will make a 3 point basket is 3/5. If he tries two 3 point shots
A certain university has a computer room with 219 terminals. Each day there is a 3% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will ..
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