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Find critical points, end points, local extrema and global extrema.
For the function f(x) = f(x) = x3-3x2 ( -1 < x < 3 ) do the following: (a) Find f' and f". (b) Find the critical points of f. (c) Find any inflection points of f. (d) Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval. (e) Graph f.
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
Estimating the value of a function using 3rd Taylor polynomial and use our error guarantee to give a Plus- or-minus error to your estimate
Finding the dimensions of a rectangle using second derivative test - Find length and width should the rectangle have so that its area is a maximum?
Integrating a differential equation given the initial values and exponentiate both sides of the equation for to solve for P(t)
Calculation of a Laplace Transform from first principles
Three-person Problem of Points
Evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse
Evaluate the Area enclosed by the first quadrant and the circle using integration
Trigonometric function to estimate the exact value.
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
Differentiable function on the interval.
The differentiation
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