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Prove: if f(x) = a2x^2 + a1x +a0 (a2 is not = 0), then the number c whose existence is guaranteed by the Mean Value Theorem occurs at the midpoint of the interval [a,b].
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)= 0.1x^2-1.4x+5.509, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average co..
write equation for the hyperbola that satisfies each set of conditions.
suppose you have a pipe with circumference 6 cm and length 30cm and that 8 turns of wire are wrapped around the pipe. What is the length of the wire?
Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
the turtle never stopped for a break, but his pace was only 1 km hr. how long will the rabbit run before it catches the turtle?
Choose a flat monthly rate and cost per minute and insert the values you have chosen for m and b into the equation. Then use this equation to find the total monthly cost, C, if 79 minutes are used.
Water is pumped into the tank at a rate of two cubic feet per minute. How fast is the level of water in the tank rising when it is one foot from the top of the tank?
Find an equation for each of the following trig functions
The profits from the product group were further categorized as shown in the second pie chart. How much was the profit from wholesale?
find a formula for K in terms of m and v.
Solve the system of equations-Solve systems of equations with two and three variables.
A textbook store sold a combined total of 304 history and sociology textbooks in a week. The number of history textbooks sold was three times the number of sociology textbooks sold. How many textbooks of each type were sold?
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