Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt−5x−4=05t^3dxdt−5x−4=0.

Acable car begins its trip by moving up a hill. as it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet. then, as the car moves down to the hill’s base, its elevation drops at the same rate.

In the triangle abc< angle c is a right angle. find the value of the trig function indicated. find tan a if a =12, b=5 a. 13/12 b. 12/13 c. 5/12 d.12/5

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.