Questions & Answers
JUMP TO TOPIC
- Find the point at which the given lines intersect. Find an equation of the plane that contains these lines.
- For the equation, write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. Keeping the restrictions in mind, solve the equation.
- Evaluate the difference quotient for the given function. Simplify your answer.
- Find the coefficient of x^5 y^8 in (x+y)^13.
- A mail-order company advertises that it ships 90% of its orders within three working days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these orders were shipped on time. If the company really ships 90% of its orders on time, what is the probability that the proportion in an SRS of 100 orders is 0.86 or less?
- Use a double integral to find the area of the region. The region inside the circle (x-5)^2+y^2=25 and outside the circle x^2+y^2=25.
- Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = x + e^{−x}, a = 0
- Use the table of values of f(x, y) to estimate the values of fx(3, 2), fx(3, 2.2), and fxy(3, 2).
- Which pair of numbers has an LCM of 16
- Find the best approximation to z by vectors of the form c1v1 + c2v2
- Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.
- Prove or disprove that if a and b are rational numbers, then a^b is also rational.