The helix (t) = 2 costi+sintj+tk intersects the curve (t) = (2+t)i+8t²+7t³k at the point (2, 0, 0). Find the angle of intersection.

What will be an ideal response?


Mathematics

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Solve.The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $190,000, find each worker's salary.

A. president's salary = $95,000; department head's salary = $47,500 B. president's salary = $47,500; department head's salary = $142,500 C. president's salary = $142,500; department head's salary = $47,500 D. president's salary = $14,250; department head's salary = $4750

Mathematics

The augmented matrix of a system of equations has been transformed to an equivalent matrix in row-echelon form. If the system is consistent, then give the solution. If it is not, then state that it is inconsistent.

A. (10, 6) B. (9, 6) C. (8, 4) D. Inconsistent

Mathematics

Solve the problem. Round to an appropriate number of significant digits.Twice the water flow in the hot-water pipe is the same as three times the flow in the cold-water pipe. The combined flow is 1500 ?/hr. What is the flow in each pipe?

A. 900 ?/hr hot, 600 ?/hr cold B. 750 ?/hr hot, 500 ?/hr cold C. 600 ?/hr hot, 900 ?/hr cold D. 500 ?/hr hot, 750 ?/hr cold

Mathematics

Solve the problem.Find the measure of an angle, if its supplement measures 27° more than twice its complement.

A. 37° B. 27° C. 63° D. 54°

Mathematics