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A Truck get 10 miles per gallon of diesel fuel traveling along an interstate highway at 50mph. This mileage decreases by 0.15 mpg for each mile per hour increase above 50 mph. The truck driver is paid $30 per hour, and diesel fuel costs P= $3 per gallon. Assume the truck travels a trip of length L at a speed of v mph. Establish a function definition for C(v), the total cost of the trip. Then use calculus and the first derivative to determine which speed v between 50-70 mph will minimize the cost of a trip along the highway. Show all of your work. (Notice that the actual cost depends on the length of the trip, but the optimal speed does not.)
There was a total of 91 heads and 124 feet. It was clear that their leader was a purple creature with three heads and four feet. the rest of the space alies each had two heads
Two hours later they are squareroot 6152 miles apart. If one travels 24 miles per hour slower than the other, what is the rate of the slower train?
Form a difference table for the following data, and estimate the degree of the interpolating polynomial needed to produce interpolated values correct to the number of significant figures given.
Mr. and Mrs. Garcia have a total of $100,000 to be invested in stocks, bonds, and a money market account. The stocks have a rate of return of9%/year.
a car is travelling on a straight road with velocity 55 ft/sec at time t=0. for 0
Many professionals work an average of 8.5 hours per day. A CEO claims the mean work day of their firm's accountants is less than 8.5 hours.
The purpose of this assignment is to help students understand how manufacturing and service companies can maximize their competitive advantage.
Evaluate the number of license plate from the given data - how many different groups of 4 are made up of 2 boys and 2 girls?
Find (f*g)(x) for f(x)=x+4 and g(x)=x+5. What is the domain of f(x)=2/x^2+x-12. What is the domain of 2x^3-5x^2+2x-10. Explain why there are restrictions of the domain for the function f(x)=1/x-2
A ball of radius 12 has a round hole of radius 5 drilled on an axis through its center. Find the volume of the resulting solid.
A farmer plans to use 21 m of fencing to enclose a rectangular pen having an area of 55 m². Only three sides of the pen need fencing because of an existing wall. Find the dimensions of the pen.
Points A and T divide Symbol for segment M H.into a ratio of 9:4:5 respectively. MH=108, and A is between M and T.
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