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Suppose the solution set of a certain system of linear equations can be described as x1 = 5 + 4x3, x2 = 2 - 7x3, with x3 free. Use vectors to describe this set as a line in R3.
Compute the average temperature of a wire in the shape of the helix r(t) = ?cos(t), t/10, sin(t)?, 0 ≤ t ≤ 10π,if the temperature at the point (x,y,z) on the wire is given by T(x,y,z) = x2 + y + z2.
what is the measure of the angle formed by the guy wire and the pole? Assume that the ground is level.
Plot the component curves and the orbit, the latter for the rectangle |y|Any surprises? 28. Hearts and Eyes: Find a solution formula for y'' + 25y = sin&(wt), where w is not equal 5. Plot the solution curve of the IVP with y(0) = y'(0), where w=4...
5,500,000 gallons of ice cream are produced each day how many days it will take to produce 357,500,000 Define a variable for the value that is unknown.
The students in the 12-member advanced communications design class at Center City Community College are submitting a project to a national competition
Place the following set of numbers in ascending order. Determine the maximum and minimum values of the following set of numbers. 36/7,-1,-2/3,-5,26/9
Find the slope of the curve at the given x-value. Give a decimal answer rounded to 3 decimal places.
your are planning to close off a corner of the first quadrant with a line segment 20 units long running from (a,0) to (b,0). Show that the area of the triangle enclosed by the segment is largest when a=b.
the solution of A batch of 655 containers for frozen orange juice contains 10 that are defective. Two are selected, at random, without replacement from the batch. What is the probability that the second one selected is defective given that the fir..
what is the circumference of the circle
A spring has a natural length of 24 cm. If a 28 N force is required to keep it stretched to a length of 36 cm, how much work W is required to stretch it from 24 cm to 32 cm? (Round your answer to the nearest hundredth.)
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
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