Find the volume of liquid needed to fill a sphere of radius R to height h = = R. (Use symbolic notation and fractions where needed.)

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A: Given: f is an increasing function and x2&gt;x1

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Q: a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose…

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Q: Find f(x) if f(x) = 7 +8 and f(1) = 4.

A: Given that f'(x)=7x4 -(i) and f(1)=4.Our Aim is to find the value of f(x)=?

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A: We are allow to solve one question at a time. So if you need rest of solution please upload them…

Q: lim sin4x / x x—>0

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Q: Given the Lorenz curve L = 2.2x¹ - 3.09x³ +2.09x² -0.2x What percent of the income is held by the…

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Q: 5. State the value of e (4)

A: eln4

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Q: Logarithm Rules log, xy = loga y log,x": log, b = log, b =

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Q: 05 O-S C O 35 log 7. Without using a calculator, state the value of log, (7-5 OO 8. Which expression…

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Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 5 sin²(t)) at t - 7…

A: Solution is given below:

Q: 10.88 The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given…

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Q: The following is the graph of y = g(x). Use this graph to compute the following quantities, o state…

A: solution:-limx→2-g(x)=1limx→2+g(x)=4limx→2g(x)=does not exist because limx→2-g(x)≠limx→2+g(x)

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A: We will find the required area.

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Q: uppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t)= 16…

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Q: For the following differential equation determine the most general function M(x, y) or N(x, y) so…

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Q: Find the general solution for the following differential equation. e. 4y" - 25y = 0

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