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Consider the curve r(t) = \langle e^{-5t}\cos(-1t), e^{-5t}\sin(-1t), e^{-5t} \rangle . Compute the arclength function s(t) (with initial point t=0 )
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
Find an equation of the tangent line to the curve y = x^3-3x+1 at the point (1,-1)
Alex Bettington
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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
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then
Alex Bettington
•
August 23, 2024
Find the total area between the curve y = x^2 + 2x -3 and the x-axis, for x between x = -6 and x = 7. Also, evaluate the integral \int_{-6}^{7} f(x) dx. Interpret the value of integral in terms of...
Alex Bettington
•
August 23, 2024
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