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Find a simplified difference quotient,

Find an equation for the line tangent to the graph of the given function at the indicated point.f(x) = x2 + 3 at (2, 7)

Calculate the instantaneous velocity for the given value of t of an object moving with rectilinear motion according to the given function relating s (in feet) and t (in seconds).s(t) = -2t2 – 7t – 1; t = -4

Find  .

For the function f whose graph is given, determine the limit.Find 

Find the slope of the line tangent to the graph at the given point. y = x2 – 2x + 3  at   x = -1

 25. G.K.M.a.a.D.C. provides the following information.  Price Index LIFO Cost Retail Inventory on December 31, 2025 When dollar-value LIFO is adopted  100 $40,000 $55,000 Inventory, December 31, 2026  120 ? $102,000 The cost-to-retail ratio for 2026 was 40%. Calculate ending inventory under the dollar-value LIFO method at December 31, 2026. For partial credit, show your work.

Refer to question 27 above. 27b. What is ending inventory (in dollars) at March 31, 2020 under the LIFO cost-flow method? 

Vegetarian and plant-based options are becoming more widely available in restaurants and grocery stores. A survey is conducted to determine the percentage of adults in the United States who declared themselves to be vegetarian. The 95% confidence interval for the percentage of adults who declared vegetarian is (0.068, 0.129). Complete parts a and b. a. Interpret the meaning of this confidence interval using a complete sentence.   b. Use StatCrunch to find the sample size required to estimate the percentage of adults in U.S. who declare themselves to be vegetarian: assume no prior studies were made and we need to be within an error of 3%?

The following is a probability distribution of the number of cars (X) owned by 120 residents who live in the same neighborhood. Use StatCrunch to find the mean and standard deviation of the number of cars owned by the 120 residents.  X (Number of Cars)  1  2  3  4  5  P(X)  0.01  0.33  0.36  0.22  0.08