1. (5 points) Find the area of the region enclosed by a parabola y x2 -...
(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
(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 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 Yx) and use trig identities to simplify to the simplest answer for full credit. dx 2a. In(x cos y) el
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
2. Find the area of the region enclosed by 11x24V3xy + 7y2 - 1 = 0 Hint Use the change of variable x u cos 0 - v sin 0 ,y = u sin 0 v cos 0 with suitable 0 . 2. Find the area of the region enclosed by 11x24V3xy + 7y2 - 1 = 0 Hint Use the change of variable x u cos 0 - v sin 0 ,y = u sin 0 v cos 0...
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...
Find the area of the following region Sketch the bounding curves and the mopon in question The region in the fint quadrant bounded by y2 and y-2sin on the interval Choose the correct graph below OA OB OC OD Set up to Wegral hat will give the sea of the region. Choose the corect answer below OA 12 siny-2) dy OB sin-21 oc. Jaz 22 - 2 single OD 2 Click to set your ar Find the area of the...
4. g(t)= 3. y=sin(tan5x) In problems 1-5, find the derivative of the function. Write your answers in simplest form. 1. f(x)=- sinx 2. f(x)=(x +7x-2) 100 1-COS X 3. y =sin(tan5x) 4. g(t)= t+3 5. f(x) = cos(x'cscx) sin(x-3) 6. Find lim 2-3 3x-x?
Find the area of the region in the XY-plane enclosed by y = 3−x and x = 3y−y . In doing so, sketch the region (hint: remember that the graph of a quadratic is a parabola), and be sure to show all your work.