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Calculus
General Application of Derivatives. Draw the necessary figure and indicate the dimension given.
- A conical glass whose base radius is 5m and altitude 12m is being filled at the rate of. How fast is the surface rising when the liquid is 6m deep?
Calculus
General Application of Derivatives. Draw the necessary figure and indicate the dimension given.
- If the radius of the circle increases at the rate of 0.01 cm per second, find the rate of change of the area when the radius is 3 cm long.
Calculus
The force F (in pounds) acting at an angle à ¸ with the horizontal that is needed to drag a crate weighing W pounds
along a horizontal surface at a constant velocity is given by
along a horizontal surface at a constant velocity is given by
Calculus
Find the area of the triangle formed from the coordinate axes and the tangent line to the curve
Calculus
Find the area of the triangle formed from the coordinate axes and the tangent line to the curve
Calculus
Write a function which is differentiable at infinite many points as well as non-differentiable at infinite many points.
Calculus
Write (and draw the graph of) a function which is
(a) Continuous on all points except at
(a) Continuous on all points except at
Calculus
At what point(s) on the circle x 2 + y 2 = 13 is its tangent line parallel to the line 3x − 2y = 6.
Calculus
Find the centroid of the region R enclosed between the curves y = x
2
+2 and y = x + 8.
Calculus
Find the area of the surface that is generated by revolving the portion of the curve y = x
2
between x = 2 and x = 3 about the x-axis.
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#339914 on Dec 2023
#339914 on Dec 2023