HW13. 17 V=nr?h dv dt 2. at पहछग) du 2. dt 3.5 Related Rates 299 of 15. Suppose the radius r, height h, and volume V of a dV cylinder are functions of time t. How is dr related to dt dt if the height of the cylinder is constant? 16. Suppose the radius r, height h, and volume V of a cylinder are functions of time t. How is dV dh related to dt dt if the radius of the cylinder is constant? 17. Suppose the radius r, height h, and volume V of a cylinder are functions of time t, and further suppose that the height of the cylinder is always twice its radius. Write dV in terms of h and dt dh dt 18. Suppose the radius r, height h, and volume V of a cylin- der are functions of time t, and further suppose that the dr in dt volume of the cylinder is always constant. Write dh terms of r, h, and dt 26. The area A and hypotenuse c of a triangle that is similar to a right triangle with legs of lengths 3 and 4 units and hypotenuse of length 5 units. u(t), v = v(t), and w = w(t) are functions of the derivative df Giyen that u = %D1 of each

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: