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What is the slope of the line between these two points. What is the vertex for the parabola.
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1.
Using Routh stability criterion, determine whether the above systems are stable or unstable.
Browse through some newspapers or magazines and find a situation that fits an exponential function.
Use the formula R=6e12.77x, where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident.
For a quadratic equation of the form, ax2 + bx + c = 0, how do you calculate the discriminant?
Show that the instantaneous percentage change in out put is the weighted sum of the instantaneous change in L and K, with weights a and (1-a)
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac.
Radical and rational exponent notation are two ways to show the same process.
Express this ratio for a rectangular prism of length L, width W, and height H. Show how you derive this expression.
Write a rational expression and simplify the ratio of N(A) to N(B). Show any intermediate steps.
What is the formula for measuring earthquakes? Why is a 7.0 earthquake ten times stronger than a 6.0 earthquake?
Find the square norm of the problem along with the eigenvalues and eigenfunctions.
Rectangular beam has cross sectional area of 2" x 4". The beam is subjected to a longitudinal compressive force of 6000 lbs.
Give an example of an exponential function. Convert this exponential function to a logarithmic function, then plot the graph of both functions.
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac.
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign.
It can be shown that R (the set of all real numbers) is an infinite-dimensional vector space over Q (field of rationals).
The Science club is holding an election for president of the organization. Each member ranks the candidates from first to third.
After their star pitcher moved to another town, the eight remaining members of the company baseball team needed to select a new pitcher.
The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit).
For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time.
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Callaway Golf Company has determined that the daily cost C of manufacturing x Big-Bertha-type gold clubs may be expressed by the quadratic equation.
Brent is flying a kite on 50 feet of string. The kite's vertical distance from Brent is 10 ft more than its horizontal distance from Brent.