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Create an integral whereby you are forced to use all four types of integration. Work the problem and explain why each (u-substitution, trig substitution, fractions, parts) are all needed. this must be only one integral, that is it must all be under a singular fraction and cannot be the sum such as integral of lnx+arctanx dx or something.
Please describe the following: How do you find the length of the hypotenuse of a triangle?
Use a rectangle to explain the process of adding 1/4 and 2/3 - Explain your answer. What multiplication problems are represented by each of the following area models? What are the products?
Two cars leave an intersection at the same time, one traveling north and the other traveling east. Some time later, they are 20 miles apart, and the car going east has traveled 4 miles further than the other car.
Describe some practical applications for fractions in your daily life and some challenges that you have experienced regarding the use of fractions.
Design a rectangular milk carton box of width w, length l, and height h which holds 620 cm3 of milk. The sides of the box cost 3 cents/cm2 and the top and bottom cost 6 cents/cm2. Find the dimensions of the box that minimize the total cost of mate..
A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 640 dollars. How many ten's are in the cash register?
A survey of 50 students found that on average they drink 2.3 beers a night with a standard deviation of 0.7. Calculate a 99% confidence interval for the population mean.
Describe a favorite recreational activity in terms of its iterative components, such as solving a crossword or Sudoku puzzle or playing a game of chess or backgammon. Also, mention any recursive elements that occur.
What then is the chance that there will be a need for exactly 2 ambulances during that time slot on any given Wednesday morning?
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence.
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