A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot of the ladder away from the wall at a rate of 0.7 ft/s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 7 ft from the wall? 25 ft Let x be the distance from the foot of the ladder to the wall and let y be the distance from the top of the ladder to the ground. Write an equation relating x and y. x2 + y2 =252 Differentiate both sides of the equation with respect to t. dx 2x dt When the foot of the ladder is 7 it from the wall, the top of the ladder is sliding down the wall at a rate of ft/s. (Round to two decimal places as needed.)Use a change of variables to evaluate the following indefinite integral. J (x4 + Ax) 13 ( 4x 3 + 4 ) dx Determine a change of variables from x to u. Choose the correct answer below. OA. U=x4 O B. U=x*+ 4x O C. u= (x4 + 4x) 13 OD. U= 4x3 + 4 Write the integral in terms of u. (x4 + 4x) 13 (4x3 + 4) dx =() du Evaluate the integral. S ( x4 + 4x) 13 (4x3 + 4 ) dx=\fd Use the table below to find [4g(x) - 3x] dx X = 1 X 2 3 4 f'(x) 4 2 NU g'(x) 3 d dx [4g(x) - 3x] (Type an integer or a decimal.) Ix = 1