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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.
Assume that P(A - B) = P(A). Prove that A ∩ B = ∅.
After how many seconds will the stone hit the ground? Round to the nearest hundredth's place; include units in your answer.
What is the probability that the first individual to whom measure is given is not truly depressed if not diagnosed as depressed.
Show that f is a homeomorphism. Isn't a homeomorphism by definition a bijection? And since M is compact, will it not be true that N will be compact too?
Leah makes $24 per hour for a 40-hour week and time and a half for every hour over 40 hours. If she made $1140 last week, how many overtime hours did she work?
jared and cody went on a backpacking trip for 3 days. they brought 2 boxes of spaghetti. each box weighed 16 oz. they
let f be the function defined by f(x) = 12x^(2/3) - 4x. a) find the intervals on which f is increasing. b) Find the x and y coordinates of all relative maximum points.
If we want to interpret the given integral as the moment of inertia of a solid about some axis, what is the axis and what is the density of the solid?
Evaluate formulae for the coefficients -Hint: Use the linear transformation
Find the approximations T10, M10, and S10 for 0∫π 38 sinx dx. Find the corresponding errors ET, EM, and ES. How large do we have to choose n so that the approximations Tn, Mn, and Sn to the integral in part (a).
What are three considerations when choosing a research design regarding the solving of a business problem? How would you decide to choose one research design over another to best serve the analysis and solution of the problem?
Set up the augmented matrix while using Gauss-Jordan elimination to solve the system. Provide some notation showing how to proceed from one augmented matrix to the next.
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