Instructor: Mary Merchant Student: Noah Berden Course: 2021SU Calculus I (MATH-2413- Assignment: Section 3. 10 Derivatives of Date: 07/20/21 33740) Inverse Trigonometric 18. Find (f- 1)'(7) if f(x) = x3 +x -3. ( f -1 ) ' (7 ) = (Simplify your answer.)Student: Noah Berden Instructor: Mary Merchant Date: 07/20/21 Course: 2021SU Calculus I (MATH-2413- Assignment: Section 3.11 Related Rates 33740) 15. Water is drained out of an inverted cone, having the Let V be the volume of water in the tank and let h be the dimensions depicted in the figure below. If the water level depth of the water. Write an equation that relates V and h. drops at 3 ft / min, at what rate is water (in ft / min) draining from the tank when the water depth is 6 ft? (Type an exact answer, using it as needed.) Differentiate both sides of the equation with respect to t. 7 ft dt "Type an exact answer, using it as needed.) 14 ft When the water depth is 6 ft, water is draining from the tank at a rate of (1) (Type an exact answer, using it as needed.) (1) Of / min. Of / min . O t / min.Instructor: Mary Merchant Student: Noah Berden Course: 2021SU Calculus I (MATH-2413- Assignment: Section 3.8 Implicit Date: 07/20/21 33740) Differentiation 15. a. Use implicit differentiation to find the derivative ax . b. Find the slope of the curve at the given point. 1 1 w xy +x y= 65,664; (4,16) dy. a. dx b. The slope of the curve at the point (4, 16) is (Simplify your answer.)