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Change from rectangular to spherical coordinates. A) (3, 3*sqrt(3), 6*sqrt(3)) B) (0, 5, 5)
Alex Bettington
•
August 23, 2024
Consider the polar equation r^2 \sin \theta = 5 (1) What is the equation in Cartesian (rectangular) coordinates equivalent to this polar equation? (2) Which of the following curves is associate...
Alex Bettington
•
August 23, 2024
Evaluate the integral \int \frac{\log x}{x} \, dx
Alex Bettington
•
August 23, 2024
Let F = (7yz)i + (6xz)j + (6xy)k. Compute the following: A) div F B) curl F C) div curl F (Your answers should be expressions of x, y, and/or z)
Alex Bettington
•
August 23, 2024
Find the points on the cone z^2 = x^2 + y^2 which are closest to the point (1, 2, 0).
Alex Bettington
•
August 23, 2024
Evaluate the Integral \int \tan^2 x \sec^3 x \, dx
Alex Bettington
•
August 23, 2024
Convert the polar equation r = -4csc(theta) into a Cartesian equation.
Alex Bettington
•
August 23, 2024
Evaluate the integral \int_1^4 3\sqrt t \ln(t) \, dt
Alex Bettington
•
August 23, 2024
Let f(x) = 2x^2 - 2 and let g(x) = 5x + 1. Find the given value. f(g(-1)).
Alex Bettington
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August 23, 2024
Write the equation 5x + 4y + 7z = 1 in spherical coordinates
Alex Bettington
•
August 23, 2024
Find all the values of x such that the series \sum_{n=1}^\infty \frac{(5x-9)^n}{n^2} would converge.
Alex Bettington
•
August 23, 2024
Find the radius and interval of convergence of the summation \sum_{n=1}^\infty \frac{ (x+2)^n}{n4^n}
Alex Bettington
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August 23, 2024
Find an equation of the plane consisting of all points that are equidistant from (5, 3, -4) and (3, -5, -2), and having -2 as the coefficient of x.
Alex Bettington
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August 23, 2024
Find interval of convergence and radius of convergence of the series \sum_{n=1}^\infty \frac{x^n}{9n-1}
Alex Bettington
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August 23, 2024
Find the average value of the function h(x) = 6\cos^4 x \sin x on the interval [0, \pi]
Alex Bettington
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August 23, 2024
Eliminate the parameter t to determine a Cartesian equation for: x = t^2, y = 8 + 4t.
Alex Bettington
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August 23, 2024
Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) y= 1/2(e^x+e^-x) and interval [0,2]
Alex Bettington
•
August 23, 2024
Find the slope of the curve: x^3 - 3xy^2 + y^3 = 1 at the point (2, -1).
Alex Bettington
•
August 23, 2024
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![Find the average value of the function h(x) = 6\cos^4 x \sin x on the interval [0, \pi]](/_next/image?url=https%3A%2F%2Fimg.multiplicationschart.com%2Fdoc%2F7b6f8652-3907-4fbf-b3b4-838a26d4ad2b.jpg&w=3840&q=75)
![Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) y= 1/2(e^x+e^-x) and interval [0,2]](/_next/image?url=https%3A%2F%2Fimg.multiplicationschart.com%2Fdoc%2Fcc5aba31-abb7-4868-9713-69fc481623b1.jpg&w=3840&q=75)
