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1. Find a function f(x) such that f'(x) = -2x2 - 7 and f(0) = 2.
2. A company has found that the cost, in dollars per pound, of the coffee it roasts is related to C'(x) = -0.016x + 8.75, for x ≤ 300, where x is the number of pounds of coffee roasted. Find the total cost of roasting 150 lb of coffee.
3. The amount of trash, in tons per, produced by a town has been growing linearly, and is projected to continue growing according to the formula P(t) = 65 + 2t. Estimate the total trash that will be produced over the next 6 years by interpreting the integral as an area under the curve.
The angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400-meter-tall building increasing when the angle of elevation of the sun is pi/6?
Indicate whether each system is independent, inconsistent or dependent
Suppose that you have 500m of fencing with which to build four adjacent rectangular corrals. What dimensions will maximize the total area of the pen?
Calculate the increased odds of CHD in females who have a family history of CHD & exercise three times per week compared to males who do not exercise & have not family history of CHD.
How can bad advertising affect market equilibrium
require a 150-300-word response to the following discussion questionhow many solution sets do systems of linear
cursion boat is proportional to the cube of its speed and is $40 per hour when the speed is 10 mph. Expenses are $270 per hour. Find the most economical speed at which to make a trip of any specified distance.
find the constraints and find maximum or minimum value using linear programming method.a computer company makes parts a
From the concepts in the readings from Week Two, provide at least one real-world application of algebraic concepts as it would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, or sports.
How many ways are there to select three individual team leaders to participate in the league's
What is the inverse Laplace transform of (s+1)/((s+4)(s+5)(s+3))? Show work using partial fraction expansion and using Heavside method.
A 6-ft tall man walks away from a 10-ft tall streetlight at 6 ft/sec. How fast is his shadow increasing when he is 8 feet from the streetlight?
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