Find the average value of the function f(x)= xex² over the interval [0,2].

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Q: IV. Use the properties of the dot product to evaluate the expression, assuming that u v = 2, ||u|| =…

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Q: find the  increasing and decreasing of the function f(x)=4x^3+2x^2+4x

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Q: An isotope of sodium has a half-life of 20 hours. Suppose an initial sample of this isotope has mass…

A: Given that the half-life of an isotope of sodium is 20 hours.

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Q: 14x^2-13x-12 using box method

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Q: An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3)…

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Q: Evaluate the definite integral. 7 7 4 X X-5 X X-5 dx = dx

A: To evaluate the following definite integral. ∫47xx-5 dx

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Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

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Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 50 - 2x² and above…

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A: Solving the problem

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Q: Evaluate the double integral circles x² + y² = 9 and x² = 9 and x² Answer: SSR y² -dA, where R is…

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Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

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Q: Use the chain rule to find dz dt || dz dt z = sin(x) cos(y), x = √t₁ y || LO 5 + |

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Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: The interval solution to the inequality (-2,2) □ (-∞,2) [2,00) (-2.21 3(x + 2)² - 6x(x + 2) (x + 2)4…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

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Q: Self-Assessment 8) Suppose you measure the length of a house to be 60.50 ft. How many yards is that?…

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Q: Find the critical points in the domain of the function f(x) = 7x³ - 6x.

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Q: Find the point, P, at which the line intersects the plane. x = -7 +4t, y = −5+8t, z = 7+ 5t;…

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Q: If f is a differentiable function and f'(x)=x4 point at =x²+2x³ - 15x²2, then f has an inflection 3

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