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Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground
Write the matrix equation as a system of equations and solve the system.
For the function y = x2 - 4x - 5, perform the following tasks:
Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:
In most businesses, increasing prices of their product can have a negative effect on the number of customers
Sketch the curve by using the paramtric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers.
Find the slope of the tangent line to the given polar curve at the point specified by the value theta.
Find the vertex, focus , directrix of the parabola and sketch its graph
Consider a unity feed-back control system with the following feedforward transfer function:
Flying against the jetstream, a jet travels 3320km 4 hours. Flying with the jetstream, the same jet travels 3810km in 3 hours.
The investment in Pacific Oil, the high-return but high-risk investment, cannot be more than 60 percent of the total oil industry investment.
Two rainstorms occurred in one week in a certain area. In the first storm 30 ml of rain fell per hour, and in the second storm 20 ml of rain fell per hour.
The open loop transfer function of a unity feed-back control system is given:
Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25 degrees Celsius.
At the kickoff of a football game, the receiver catches the ball at the left side of the goal line and runs for touchdown diagonally across the field.
Determine the vertices and foci of the graph of x^2/16 + y^2/35=1
the values of K and k of the closed-loop system shown in Fig so that the maximum overshoot in unit-step response is 25% and peak time is 2 sec
These numbers are related by the equation V = 3.5vh. A person can see 392 km to the horizon from an airplane window. How high is the airplane?
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps.
A small gift shop is trying to determine the number of gift items it can sell to maintain a monthly revenue greater than $10,000.
Determine which two equations represent parallel lines. (a) y = x + 4 (b) y = - x - 9 (c) y = 7x + 14 (d) y = 7x - 4.
Text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
Fran swims at a speed of 2.4km/h in still water. The lazy river flows at a speed of 0.8km/h. How long will it take Fran to swim 1.6km upstream.
Find an equation of variation where y varies jointly, directly as the cube of x and cube root of z, and inversely as the square of w, and y = 4 when x = 2