Apply the method of Implıcit Di fferentiation to find dy in eq (i) angle O=45 with and loPI-r=472 Ray OP makes the possitive X axis Point P hao the coordinates (x,y) where X = r cos @ =4 Show that the tangent line to the graph at P has zero slope. an Cend y=r Sin & =4

Use the definition to find the derivative of f(E) 2t+1 t+3 (You need to show your work in details to get full credits) Edit View Insert Format Tools Table

The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wide and 27 inches high. If the arch were 32 inches wide but 44 inches high, how could you modify your function W to model the new arch? Explain or show your reasoning.

Oil imports Crude oil and petroleum products areimported continuously by the United States. Thetable shows the billions of dollars of net expendituresfor the imports of these products for several years.a. Write a linear function that models this data, withx equal to the number of years after 2015 and yequal to the billions of dollars of expenditures.Report the model with two decimal places.b. Is the model an exact fit for the data? c. What does the model predict the billions of dollars of net expenditures will be for the imports in2023?d. When does the model predict the billions of dollars of net expenditures for the imports will be208.2 $billion?