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One bus travels 13 km h faster than the other. If the two buses are 1757 kilometers apart after 7 hours, what is the rate of each bus?
It travels 300kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Two trains leave town 456 mile apart at the same time. One train travels 20 mi h faster than the other. If they meet in 3 hours, what is the rate of each train?
How far is it directly from home plate to second base (the diagonal of the square)? If necessary, round to the nearest foot. I need help with a math problem.
If the trip back takes an hour less, what was the speed of the boat in still water? Give the answer rounded to two decimal places, if necessary.
A swimmer swims across a river 37.00 m wide at 1.25 m/s. She then swims back at 2.00 m/s. What is the swimmer's average speed for the entire trip?
Determine the stability of the limit cycle. Give an argument which shows that the limit cycle is unique, i.e., there are no other periodic trajectories.
What are the advantages of a parametric approach to regression or classification (as opposed to a nonparametric approach)"? What are its disadvantages?
Use the linear representation (see Example 2.9 in Lecture Notes) to obtain the general formula for yx(h), h = 0. Evaluate all infinite series that appear
Determine your investment return on the fund? Round answer to nearest tenth of a percent.
Solve the problem: Log 4 base x + log x base 4 = 2.5
For t = -10, draw the reference triangle on the unit circle, and give approximate values for cos(-10) and sin(-10).
Define and describe mathematics. Support your discussion with one everyday (maths) phenomenon
Compute the mean and standard deviation of the amount won per ticket. Interpret the mean value. What is the expected profit from the festival?
Prove that the characteristic polynomial for A is x3 - ax2 - bx - c and that this is also the minimal polynomial for A.
onstrained Optimization: Find the maximum and minimum values of the quadratic form f(x1, x2) = z = 5x12 + 12x1x2 and a vector
Question: Define the Concept of function, Domain and Range in Mathematics.
Use the Mean Value Theorem to show that for any real numbers a, b: |cos a - cos b| = a - b. Use Rolle's Theorem to show that function f has exactly one root.
Use the Intermediate Value Theorem to identify an interval where the equation sin x - x2 = 0 has a non-zero solution.
Use the prime decomposition of integers to express the listed radical in its minimal expression. Do not use decimals.
Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11,...... and Y be the set consisting of the first 2018 terms
Construction of a finite field. (a) Check that the polynomial x3 + x + 1 is irreducible and primitive over F2. Obtain a generator matrix based on the generator
Question: Find the convergence interval for the following series. n=1S8((-1)n(1+2x)n+1)/(2n+1)2n
Find the volume of the solid generated by rotating the region bounded by the x-axis and the function y = 1 - x2 around the x-axis between x = -1 and x = 1.
Find the inverse Laplace transform of F(s) = 1/(s4+16) using the inversion formula and the Cauchy residue theorem.