please show all work and steps using logic
Given y = sin-1(2x + 1)
a. Find y' and simplify
b. Find the values for which y is differentiable. Make sure to include your detailed work to show you didn't just copied from someone else's work.
c. Provide a graph that supports your answer in part b. Be detailed, please
Please show all work. Thank you! 2. Sections 4.3,4.5,4.6 Graphing:Consider the function f (x) = sin(2x) + cos(2x)on the interval [0, 1]. For this question, give your answers to parts a,b,c in interval notation. a. Find the intervals on which f is increasing or decreasing b. Find the local maximum and local minimum values of f c. Find the intervals of concavity d. Give the inflection points (if any) e. Sketch the graph of f. Be sure to label and...
Question 8 a) Sketch the graph of y=sin(x) and y=sin(2x) for 0<xs. b) Show that the area of the region bounded by these graphs is 4
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
Find the general solution of y′′ + 2y = sin(7t/5) Please show all steps and work clearly so I can follow your logic and learn to solve similar ones myself. Will rate your answer. Thank you kindly!
2. The force F(x, y) = (y + 2x) sin(xy + x)i + x sin(xy + x2) is conservative. (a) Find a potential V such that F = -VV. [2 marks] (b) Is F central? Provide a reason for your answer. [2 marks]
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...
a) b) 8. Using Graph paper, graph the following functions: y = 2cos(2x) for values of x = -11, -11/2, -11/6, -11/4, -1/3, y =tan( x + 11/2) + 1. For the same values of x as above. Provide your work on graph paper!! 112, -11/6, -11/4, -1V/3, 0, 1/3,1/4, 1/6,112, 11, 311/2 Section II: Vectors in Mechanics (5 points): Show your work!! 1. The vector A has a magnitude of 7.25 m. Find its components for direction angles of:...
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
please help! I cannot figure this out. The graph below is of the curve defined parametrically by: x-sin t and y- sin 2t -0 5 0.5 -1 (a) SET UP THE INTEGRAL TO FIND THE AREA OF THE REGION ENCLOSED BY THE CURVE AND EVALUATE (b) SET UP THE INTEGRAL TO FIND THE LENGTH OF THE CURVE TRAVERSED EXACTLY ONCE. DO NOT EVALUATE. SIMPLIFY TO JUST BEFORE MAKING A SUBSTITUION. (c) SET UP THE INTEGRAL TO FIND THE TOTAL DISTANCE...
3. Given the following system of linear equations: 2x + y = 16 x + 2y = 14 (a) Find the solution using the graphical method. Please show each step and not a screenshot of just the graph on excel