106 Basic Differentiation Rules and Rates of Change2.2121105. Velocity Verify that the average velocity over the timeinterval [tovelocity at t =to for the position functionAt, toAr] is the same as the instantaneouss)2ar +c.106. Inventory Management The annual inventory cost Cfor a manufacturer is1,008,0006.3Qс.Q1where Q is the order size when the inventory is replenished.Find the change in annual cost when Q is increased from350 to 351 and compare this with the instantaneous rate ofchange when Q = 350.107. Finding an Equation of a Parabola Find an equationof the parabola y ax + bx + c that passes through (0, 1)and is tangent to the line y = x - 1 at (1,0).108. Proof Let (a, b) be an arbitrary point on the graph ofy 1/x, x> 0. Prove that the area of the triangle formed bythe tangent line through (a, b) and the coordinate axes is 2.109. Tangent Line Find the equation(s) of the tangent line(s)to the graph of the curve y = -9x through the point(1, -9) not on the graph.110. Tangent Line Find the equation(s) of the tangent line(s)to the graph of the parabola y x through the given pointnot on the graph.(a) (0, a) (b) (a, 0)

Name: 106 Basic Differentiation Rules and Rates of Change2.2121105. Velocity
Uploaded: 2024-03-20T07:06:41.000Z
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Description: 106 Basic Differentiation Rules and Rates of Change2.2121105. Velocity Verify that the average velocity over the timeinterval [tovelocity at t =to for the position functionAt, toAr] is the same as the instantaneouss)2ar +c.106. Inventory Management T