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Choose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor?
The position of an object attached to a spring is given by the formula: y(t)=(1/6)cos(5t)-(1/4)sin(5t), where t is time in seconds. In the first 4 seconds, how many times is the velocity of the object equal to 0?
Determine the number of analysts, programmers, and engineers to be hired if for every one engineer. 2 programmers and 2 analysts are needed for the contract.
Which is a binomial distribution approximated by a normal, Which is a binomial distribution that is approximated by a normal distribution?
Adding 4 fractions. The denominators are: 3a, 24b, 7a, and 25b. What is the LCD?
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
a square garden plot measures 125 square feet. a second garden plot measures 245 square feet. how many for feet of fence will the second garden plot require?
Use the improved Euler method with h=0.05 to find approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3, and 0.4 y'=3+t-y, y(0)=1.
A 380 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
Write mathematical expression for the given statement and Solve and find the value of unknown.
A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation below.
Suppose that 740 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
At a certain time, the temp is maintained constant, the P=100ln/in^2 and is increasing at 4 lb/in ^2. At what rate is the volume changing when it is 60 in^3?
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