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Susan has 400 yards of fencing and wishes to enclose a rectangular area. Express the area of the rectangle as a function of the width of the rectangle.
Discuss a real-life situation where a straight-line graph might be applicable and explain why you think this might be true (show the equation).
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
How can one prove that the 4 midpoints of the four sides of any quadrilateral form the vertices of a parallelogram using graph geometry (ie. x1, y1 etc. to denote the four vertices)?
A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 20 ft, what percentage of the total capacity is being used? (Round the answer to one..
A rectangular field is to be enclosed with a fence. One side of the fence is against an existing fence, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to ..
Which of the following statements is true regarding the F - distribution?
Calculate the mean for the grouped data.
A 100% concentrate is to be mixed with a mixture having a concentration of 30% to obtain 65 gallons of a mixture with a concentration of 80%. How much of the 100% concentrate will be needed?
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity and inflection.
ith a square base of side z is four times higher than it is wide. Express the volume V of the box as a function of z.
A gun has a muzzle speed 120 m/s. Find two angles of elevation that can be used to hit a target 600 m away. (assume that the gun and the target are at the same height)
A company's records indicate that on any given day, 1% of their day shift employees and 2% of the night shift employees will miss work. Sixty percent of the employees work the day shift.
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