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Consider the function f(x) = (2t2 - t)3.
a. Determine f'(t) and f"(t).
b. Write a tangent and normal line to the curve when t = 2.
c. List all of the derivative rules, in order, needed to evaluate f'(t)
assuming drivers are independent if 5 of the drivers fail to stop at a red light find the probability that at least 2
Let A and B be sets. Show that A x B and B x A have equal cardinality by constructing an explicit bijection between the two sets. Then use the following proposition to prove that multiplication is commutative. (Let n, m be natural numbers. Then nx..
The diameters of Red Delicious apples in a certain orchard are normally distributed with a mean of 2.63 inches and a standard deviation of 0.25 inches.
The final amount for $5000 invested for 25 years at 10% annual interest compounded semiannually is $57, 337.
A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. What is the width of a similar rectangle whose length is 15 tiles?
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
An employee receives a weekly salary of $310 and a 4% commision on all sales
A car traveling at 60 mph is brought to a stop, at constant deceleration, 88 feet from where the brakes are applied. How lond did it take for the car to stop?
The State Employees' Credit Union offers a 1-year certificate of deposit with an APR (or effective rate) of 5.5%. If interest is compounded quarterly, find the actual interest rate. Round to the nearest tenth of a percent.
jodie bicycles 5kn/h faster than robert. in the same time it takes robert to bicycle 27 km, jodie can bicycle 42 km. how fast does each bicyclist travel?
complete assignment. to be completed on pdf or .doc or .dox ltbrgt
A semiarid region has from 250 to 500 millimeters of annual rainfall. write and solve a compound inequality to describe the annual rainfall of non-semiarid regions measured in inches. use the formula 1 inch = 25.4 millimeters
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