Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y = 4√x. y - 0, x=1 576x Need Help? Submit Answer x Road R

Q: Consider the function f(x) = 12x³ + 15x¹ - 240x³ + 4. f(x) has inflection points at (reading from…

A: The solution is shown in step-2

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A: Let us know what are net and total areas.Net area  Total area above x-axis  Total area below x-axis

Q: Find the divergence of the vector field F. F(x, y, z) = In(3x² + 8y²)i + 24xyj + In(8y² + 9z²)k…

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Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

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Q: My question revolves around L' Hopitals Rule. I have to functions s(x) = 4e^x +9 and t(x) = 9lnx +…

A: L' Hospital rule

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A: The given function is

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Q: 3. Rewrite the polar equation in rectangular, rewrite it either as a conic section or in the form y…

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Q: 10 0 1 y = ex 3 X

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Q: 5. Find the Maclaurin series for f(x) = cos(¹) Use the found series to determine the 8th derivative…

A: The solution is shown in step-2

Q: the exact location of all the relative and absolute extrema of the function. (Order your answers…

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Q: Use the first 4 non-zero terms of the power series for f(x) = sin (x²) to approximate S 0 sin (x²)…

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 80x + 0.7x² -…

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Q: •/F. Evaluate F. dr. F(x, y) = xi + yj C:r(t) = (9t + 1)i + tj, 0sts1

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Q: 4. What are the variance and standard deviation of random variable X with the pdf given by x>2 f(x)=…

A: The probability density function of the random variable X is:

Q: Use symmetry to evaluate the following integral. 2 S (5x³-4) dx -2

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Q: Use washers to find the volume formed by rotating the region enclosed by y = 1.6 — 1.2|x - 14 and…

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Q: Use the given transformation to evaluate the integral. JJ 4x² dA, where R is the region bounded by…

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Q: Find the area of the region indicated in blue. Area = sq-units Report answer accurate to 3 decimal…

A: NOTE: Refresh your page if you can't see any equations..First, we need to find the total area of the…

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)}…

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Q: Evaluate O - f 1 1+¹/3+C 0 3 O dx 1+x¹/3 2²/3 In 1+¹/3+C 0 3 - 3x¹/3+3 In 1+¹/3+C 222/3 ○ In 1+¹/³+C…

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Q: Simplify the following trig. expression: 1tan²0 1 + tan²0 +2 sin²0.

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Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

A: The equation of online sales is

Q: Evaluate the indefinite integral as a power series. √x³ In(1 + x) dx f(x) = C + ( Σ n = 1 What is…

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Q: Use a half angle or reduction formula to fill in the blanks in the identity below: (cos(5x))² = COS

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Q: Solve for x in log(x)/log(9) = 1.5 18 27 O 03 081

A: The given equation is; log(x)/log(9)=1.5Solve for x.

Q: Find the domain of the function f(x) = −2x². Use interval notation to express your answer. - 6x + 10

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Q: Evaluate the line integral, where C is the given curve. √(x²y³ -√x)dy, C is the arc of the curve y =…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: A car is driving northwest at vmph across a sloping plain whose height, in feet above sea level, at…

A: The solution is shown in step-2

Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: 4. Determine if the series is conditionally convergent, absolutely convergent or divergent. Justify…

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Q: How many years do you have to wait if you want to earn $1146.66 interest on a deposit of $800 at 12%…

A: Principle= P= $800Rate of interest = r= 12%=0.12Interest =$ 1146.66

Q: 5. Water flows into a tank at a rate of r(t) = √25-t gallons per minute. Find the amount of water…

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Q: Substitute the value of y' in 1 + (y)²

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Q: Find the area of the shaded region. square units 2 1 -1 y=x² - 2x³ y=0 2

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Q: The masses m, are located at the points P. Find the moments Mx and My and the center of mass of the…

A: We have to find the moment about x- axis and the y-axis.

Q: M(x)=x3 -3x2-4 finidig of turning point (minimum) and (maximum) and the value for (x) and the curve…

A: Find the derivative of M′(x)Set the derivative equal to zero and solve for x to find the critical…

Q: f(x)=ln(x+1)  Determine the interval at which the function is increasing or decreasing

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Q: Direction: In each of the following Homogeneous Equation and with the given condition, find: (a)…

A: Given data