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Give an example of a function where the derivative does not exist in at least one point.
Find three partial derivatives of the function r with respect to x, y, and z
The total cost of producing x units of a certain commodity is C(x) = 2x^4 - 10x^3 - 18x^2 + 200x + 167.
Find the open intervals on the x-axis on which the function f(x) = x2/x-1 is increasing and those on which it is decreasing.
Find the 2nd derivative of g(x)=x^2/(x^2 + 1) .
If the inverse function of f exists, then the y-intercept of f is an x-intercept of f^-1 (f inverse).
Tolerances are set for the box to weigh 348+/-12 grams (plus or minus 12). The standard deviation for the packet-filling process is 1.01gram.
Let P(x), Q(x) and R(x) be statements "x is a clear explanation", "x is satisfactory" and "x is an excuse" respectively.
Compute the absolute error and the relative error in approximations of p by p*.
Gilbert Moss and Angela Pasaic spent several summers during their college years working at archaeological sites in the Southwest.
Let x0 > z and set xn = f ( x n-1) for every natural number n > or = 1. Prove that 0 < xn - z < alphan (x0- z). You may use the result of part a.
Show that (X, ||*||) is a Banach space if and only if {x in X: ||x||=1} is complete.
Using the above sets A and B define a function f-1, for some function f from A to B.
Consider f:A->A a one-to-one function. Prove that f is also onto.
Equation 6.18 is P'3G=d(x'-x)d(y'-y), where P'3=uxx+ut is the adjoint of the heat equation.
It is conjectured that the maximum number of Tybars that could be sustained on the planet is 312,500.
A function f: R?R is said to be periodic if there is a number p>0 such that f(x+p)=f(x) for all x € R .
Find the stationary points of this function.
Explain the meaning of a relation. How is a relation different from a function?
Let E be an open and convex subset of R^n and let f in C^1(E).
Evaluate the functions for the values of x given as 1,2,4,8 and 16. describe the differences in the rate at which each function changes with increasing values.
A gallon of paint covers about 350 square feet. How many gallons would be required to paint the room? Round up to the nearest gallon.
I need a good way to display error bars on a scatter plot. I have a set of x and y data, that I have attached as a text file along with y+err and y-err data.
The hint says that since L (lower sum) is zero, it remains to show that U (Upper sum) is less than epsilon for some partition p.
What would the population in 1990 have been if growth had continues in this same pattern?