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Integrals
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A company installs a new computer that is expected to generate savings at the rate of 20,000e^{-0.02t} dollars per year, where t is the number of years that the computer has been in operation. If the
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Integrals
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Sketch and calculate the area of the plane figure bounded by the curves y_1=(x-1)^2 and y_2=4-(x-3)^2.
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Integrals
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The Bow-Tie Graph. Draw t curve given by the equation y^{2} = x^{4} – x^{6} Compute the area bounded by this curve.
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Integrals
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Calculate the population within a 10-mile radius of the city center if the radial density is p(r) = 5(4 + r2)1/3 (in thousands per square mile). (Round your answer to two decimal places.)
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Integrals
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Motion given the equation for jolt (jolt is the rate of change of acceleration): j(t)=da/dt=d^2v/dt^2=d^3s/dt^3, and initial values for acceleration a, velocity v and position s, find the expression f
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Integrals
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Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals. f(x) = 7^x – 1 \f(\frac{1}{2}) = \f(1.5) = \f(-1) = \f(\frac{1}{4}) =
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Integrals
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The temperature at time t (given in hours from 0 to 24 after midnight) in downtown Mathville is given by T = 10-5sin\frac{pi}{12}t) degrees Celsius. What is the average temperature between noon and midnight?
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Integrals
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How to integrate over a circle?
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Integrals
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Use rectangles to estimate the area under the parabola y = 2x^2 from 0 to 1.
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Integrals
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Evaluate the integral. int limits_-infty^infty 56 x^ 13 e^-x^14 dx
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Integrals
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Find a simple basic function as a right-end behavior model and a simple basic function as a left-end behavior model. y = \frac{x^2}{3} + e^x
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Integrals
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Find the area of the shaded region. f(x) = x^4- 8^3+24x^2 , g(x)=5x+38.
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Integrals
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Sketch the region whose net signed area is represented by the definite integral and evaluate the integral using a formula from geometry: 1) int^4_{-3} x dx 2) int^6_0 x + 4 dx 3) int^5_{-5
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Integrals
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Carco uses robots to manufacture cars. The following demands for cars must be met not necessarily on time, but all demands must be met by the end of quarter 4: At the beginning of the quarter, Carco h
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Integrals
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Solve the exponential equation without using logarithms, then use logarithms to confirm your answer. \frac{1}{8} = 2^x
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