(2 points each) Use appropriate logarithmic properties to make the following equation easy to dy differentiate....
(2 % points each) Use appropriate logarithmic properties to make the following equation easy to dy differentiate. Find or yw and use trig identities to simplify to the simplest answer for full credit. dx 2a. In ( x cos y)
(2 points each) Use appropriate logarithmic properties to make the following equation easy to dy differentiate. Find - or you and use trig identities to simplify to the simplest answer for full credit. dx V 2b. In y sinx
(2 % points each) Use appropriate logarithmic properties to make the following equation easy to dy differentiate. Find or you and use trig identities to simplify to the simplest answer for full credit. dx 2b. In y sinx w
1. (5 points) Find the area of the region enclosed by a parabola y x2 - 4x - 5 and a line y = x-5. To get full credit, you must draw a picture of the problem first, then find the upper and lower bounds before finding the area. (2 42 points each) Use appropriate logarithmic properties to make the following equation easy to dy or you differentiate. Find (dx and use trig identities to simplify to the simplest answer...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
3 Points Question 3 3 cos(20) Find the PERIOD of the following function: Y- TE 1 210 3 3 Points Question 4 Verify the following identity using the guidelines for the verification of trig identities. You have to write all the steps to get full credit. (tan?x + 1)(1 - cos²x) - tan²x. Use the editor to format your answer 3 Points
Solve the following logarithmic equation. Use a calculator if appropriate. log 12(x-2) - log 12(x+5) = log 123 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer. Use a comma to separate answers as needed.) OB. The solution is the empty set,
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress 6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress
Prob.II. Differentiate the following functions, and simplify. 1. f(x) 2x-3 x+4 2. f(x) = x²(x - 2)* 3. f(x) = In (x V1 - x2) 4. f(x) = x2e-* 5. Find dy/dx = y' for the equation x2 + y2 = 25 and find y" (check H.W)
(1 point) All parts of this problem refer to the function below. y=(3+52)5/2 dy a) Use logarithmic differentiation to find dar dy dx b) Find the slope of the tangent line at x = = 1. Slope = C) Find the equation of the tangent line at x = 1. Tangent line: y