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Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and d efine the variables used Part B: How can you graph the equation obtained in Part A for the first six hours?
write a rational expression for his average speed. 2) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
a rancher needs to enclose two adjacent corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 420 yd of fencing is available, find the largest total area that can be enclosed.
How many of each should you purchase to minimize the total cost? (b) What is the total cost?
Given a=41degrees, B=101degrees, and a=30.1, approximate the length of side b in a triangle ABC. Given a=100degrees, B=30degrees, and c=110.3, approximate the length of side b in a triangle ABC.
1. Write the line through p=(-1,4,0)p=(-1,4,0) in the direction of v???=?3,-2,1?v¯=?3,-2,1? in vector parametric form: 2. Suppose a line is given by the system of equations
If max divides his land into square field's that are 1/4 mile long and 1/4 mile wide, how many fields will be have?
Find the standard matrix of T.
Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 2) and the second going from (-2, 2) to (-4, 0). Computer the line integral of (-2dy -2dx)
in a certain city, the daily consumption of electric power, millions of kilowatt-hours, can be treated as a random variable having a gamma distribution with α= 3 and β = 2.
What is the k value for this cord? You may neglect the mass of the cord itself. Compute the derivative of the expression you found in Problem 4 and solve for the value of t where it is zero.
Calculate the real part and the imaginary part of the complex polynomial p(z)= z^3-3z. Do the same for q(z)=(|z|^2)z + zbar. (here, z= x +iy, x,y belgon to R)
Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps.
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