Assignment7: Problem 1 (1 point) A road perpendicular to a highway leads to a farmhouse located 2 mile away. An automobile traveling on the highway passes through this intersection at a speed of 75mph. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 1 miles past the intersection of the highway and the road? The distance between the automobile and the farmhouse is increasing at a rate of C] miles per hour. Assignment7: Problem 3 (1 point) A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.4 feet? The diameter is increasing at C] ft/min. Assignment7: Problem 4 (1 point) A potter forms a piece of clay into a circular cylinder. As he rolls it, the length, L, of the cylinder increases and the radius, 'r, decreases. If the length of the cylinder is increasing by 0.6 cm per second, find the rate at which the radius is changing when the radius is 2 cm and the length is 9 cm. rate = D cm/s (Note: Assume the volume of the clay remains constant through the process.) Assignment7: Problem 2 (1 point) The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 1.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 9 centimeters and the area is 95 square centimeters? The base is changing at C] cm/min