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If C is the curve given by r(t) = (1+4sint)i + (1+5sin^2t)j + (1+3sin^3t)k, (0) is less than or equal to (t) is less than or equal to (pi/2) and F is the radial vector field F(x,y,z,) = xi+yj+zk, compute the work done by F on a particle moving along C.
Find a vector equation for the line through the point P = (-4, -1, 1) and parallel to the vector v = (1, 4, 3).
A straight line moves in such a way that the sum of the reciprocals of the intercepts of the axes is equal to 1/k , where k is a constant. Prove that the line will pass through a fixed point.
Probability values.
The linear equation x=-1 graphs as a horizontal/vertical/diagonal line(choose the correct label). Describe how you determined your answer.
's salary is 1 cent/second for a 40 hour work week. Tiare's salary is $1400 for a 40 hour work week. Who has a higher salary?
A plot of the data points with the best-fit line is given below . What age is predicted by the best-fit line for s height of 70 inches ?
From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
Complex problems
Economics : Equations, Quantity and Profit, A company manufacturers and sells a product. The estimated demand and cost functions are as below
a toy rocket is shot into the air at an initial velocity of 10 meters per second from a height of 4 meters The equation giving the height h of the rocket above the ground at time t is h=-49tsquared +10t+4. To the nearest tenth, what is the maximum..
Write an equation of the line which contains the given point, and is parallel to the given line:
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