Evaluate the line integral ∫cf⋅dr, where f(x, y,z)=3sinxi−4cosyj−xzk and c is given by the vector function r(t)=t5i−t4j+t3k , 0≤t≤1.

Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9

A25- foot ladder leans against a building and reaches a point of 23.5 feet above the ground .find the angle that the ladder makes with the building

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de