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Over what intervals are the following functions continuous? Justify your answer using the definition of continuity.
a. h(x) = sin (x2)
b. k(x) = 1 / (√(x2 + 7) - 4)
Let f and g be twice differentiable functions such that f'(x) ≤ 0 for all x in the domain of f. If h(x) = f(g(x)) and h'(2) = 4. What (if anything) can you say about f, g, and h at x = 2?
it takes 70 inches of ribbon to make a bow and wrap the ribbon around the box.the bow takes 32 inches of ribbon. the
Let epsilon, gamma >0. If x is epsilon-close to y, and y is gamma-close to z, then x and z are (epsilon + gamma)-close. Let epsilon>0. If y and z are both epsilon close to x, and w is between y and z (i.e.. y
The product of two complex numbers
Use a vertical format to subtract the polynomials.
name the property of real numbers
(If the expression is an exponential form, write it in radical form. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers)-m √(?2y?^5 )
Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? Use part (a) to find a power series for f(x) = x ln(1+x).
Profit & loss problem of one variable quadratic equation.
Using Euclids algorithm, determine if the following rational numbers are in reduced form. If not, write own their reduced forms.
Synthetic division method to find the quotient and remainder.
Find value of b.
Find the solution for x
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