Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. Assume that all variable expressions represent positive real numbers. 2y (6x + log 5x I log %6 X olo S BA

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A: Given , then to write a limit representing the derivative of .

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: For y = f(x), the [Select] if this limit exists. lim h→0 at x = a is f(a+h)-f(a) h

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Q: dy = e³x + 4y 3x dx

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Q: Find the average rate of change in revenue if the production is changed from 966 car seats to 1,036…

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Q: Evaluate the integral I = +2√3 4-x 4+x dx. 1. I = 2. I = 3. I = 4. I = 213 6. I = 4 37 43 2 3 π+2 2…

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Q: Solve the given differential equation by separation of variables.

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Q: 1. y = (√x)√x

A: According to the Bartleby guidelines we are supposed to do the first one of multiple questions…

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Q: Use the graph of f(x) above to estimate the value of f'(0) to one decimal place. f'(0)=

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Q: two cyclist are 117 miles apart, start riding toward each other at the same time. one cycles twice…

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Q: v = (5,2,2) = (4,7,1) Find the cosine of the angle between v and w. W= cos 0 =

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Q: er h(x) = 4x³ + 7x² - x³ + 7x

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)=…

A: By using the limit definition of the derivative to find the slope of the tangent lineto the curve .

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Q: A student sets up the following equation to convert a measurement. (The ? stands for a number the…

A: A student setup the following equation to convert a measurement As we know that

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Q: Find the derivative of the function f(x) = 2x-3+x² + 14. f'(x) =

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Q: answer options for 1: tangent, secant, asymptote, slope, and intercept.  answer options for 2:…

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Q: 24 22- 20 18 16 14 12 10- 8 6 4 2 1 2 Estimate the instantaneous rate of change at x = = 3

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Q: 1)Show that ở × ủ is orthogonal to (ú • v) (ũ + v) + û, where ủ, v vectors. are non zero

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Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

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Q: 3) lim X→-1- A) ∞ 5 x² - 1 B) -1 0 D

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Q: Evaluate the integral √³ (3²-1 (3e² — 1 cos(x)) dx

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Q: 2)Show that u X v and 2i - 14j + 2k cannot be orthogonal for any real number a, ū where = i +7j - k…

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Q: For the region in the fourth quadrant bounded by y = x² - 4, the x-axis, and y-axis, determine which…

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