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1. Gasoline is being added to a supply in a storage tank at the rate of 4t2e-0.03t3 gallos/minute, How many gallon are added to the tank during the first ten mintutes? Round your answer wih two digits on the right side of decimal point.
2. Evaluate -1∫2 x2/(x3 + 2)3 dx, Round your result with two digits on the right side of decimal point.
3. Evaluate 0∫3 v2+1 /√v3 + 3v + 4) dv, Round your result with two digits on the right side of decimal point.
In rectangle ABDF above, C and E are midpoints of sides BD and DF , respectively. What fraction of the area of the rectangle is shaded?
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done.
Let's say you hgave an area with 100 feet of fence. Two configurations were a circle and a rectangle. What other possibilities of utilizing other shapes for this fenced in area.
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given:
a chemical plant orders chemical x that is used at the rate of 800 barrels per year. each order that is placed with the
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
A local hamburger shop sold a combined total of 716 hamburgers and cheeseburgers on Saturday. There were 66 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height as 15 cm.
Two minor league baseball players got a total of 358 hits. Washington had 20 more hits than Sanchez. What are the number of hits for each player?
a steep mountain is inclined 79 degrees to the horizontal and rises 3100 ft. above the surrounding plain. a cable car is to be installed from a point 900ft from the base of the mountain. find the shortest length of cable needed?
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