02/24/24
Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.)
The cost (in dollars) of producing x units of a certain commodity is C(x) = 8,000 + 12x + 0.15x2.(a)Find the average rate of change (in $ per unit) of C with respect to x when the production level...
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02/23/24
Write the first four terms of the sequence and find the limit of each sequence.
{(2√(n)-1)/(3+5n)}∞, n=0
02/23/24
Evaluate the improper integral from zero to infinity.
∫(0 to ∞)1/(x2+3x+2)dxSo I rewrote this as lim(as t approaches infinity) of ∫(0 to t)1/(x^2+3x+2)dxAnd then I used integration by parts and factored the denominator so I would get A/(x+2) +...
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02/22/24
What’s the answer
A ladder is leaning against a vertical wall. The distance from the top of the ladder to the base of the wall is 23 feet. The distance from the base of the wall to the bottom of the ladder is 8...
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02/22/24
Calculate 𝜑 to the nearest degree.
Let ℓ be the tangent line to the curve y = 4x2 at the point (1, 4). The angle of inclination of ℓ is the angle 𝜑 that ℓ makes with the positive direction of the x-axis. Calculate 𝜑 to the nearest...
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02/22/24
Paul was given the inequality y>or= -ax-b. He determined that all points in quadrant 2 will be solutions.
Part A: write one possible inequality Paul could have graphedPart B: Write all possible values of a.Part C: Identify all possible values of b
02/21/24
How do I solve for x? e^x - 6e^-x = 1.
I tried to factor it out and I did: e^x (1 - 6e^-2x) = 1 however I could not get an answer.
02/20/24
How large should n be to guarantee that Simpson's Rule approximation to this integral is accurate to within 0.00001?
How large should n be to guarantee that Simpson's Rule approximation to ∫(0 to 1)ex^2dx is accurate to within 0.00001?
02/19/24
Write and solve inequalities in context
Audrey has $440 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys a new bicycle for $259.52. She buys 2 bicycle reflectors for $3.07...
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02/18/24
Solving a distance, rate, time problem using a system of linear equations
Two cyclists leave towns 96 kilometers apart at the same time and travel toward each other. One cyclist travels 10 kmh faster than the other. If they meet in 3 hours, what is the rate of each cyclist?
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probability and business statistics
grades and genderA B C TOTALMALE 6 20 14 40FEMALE 8 10 9 27TOTAL 14 30 23 67d. If one student is chosen at random, find the probability that the student got a “B” GIVEN they are male
02/17/24
Need help with differential equations about undetermined coeffiecients
Find the general solution of:y ′′ + 8y ′ + 17y = costI got the complementary solution of y = e^-4t (Acost + Bsint)I am not sure how to get the particular solution, I made the guess using Acost +...
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02/17/24
I know if I have log(x)^7 it would be 7logx. But what if I had (log(x))^3. What would I do?
02/16/24
calculus related rates problem
Two people start from the same point. One walks east at 5 mi/h and the other walks northeast at 8 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to...
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02/16/24
Find an integer n that would guarantee Simpson's Rule Sn to be within 10^-4 of the definite integral.
Find an integer n that would guarantee Simpson's Rule Sn to be within 10-4 of ∫(1 to 7)x5/2dx. You do not need to simplify.
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