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please show all steps The graph of one complete period of a cosine curve is given....
The graph of one complete period of a sine curve is given. y 8 л -81 (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude period horizontal shift (b) Write an equation that represents the curve in the form y = a sin(k(x - b)). y =
13. Given y = -3 + 4cos (2x + 5) (a) What is the period? (b) How many cycles in 27 radians? (c) Is the curve shifted left or right? (d) Is the curve shifted up or down? 14. Given that y = 1 +2 cos(x) Fill in the chart and graph the function. Do not leave blanks in the chart; if a category does not apply, show that by an appropriate answer. To receive full credit for the graph,...
Given The partial graph of the cosine function below has a minimum post -2 nd a maximum point at C ) as shown below. The equation of the function can be expressed in the form acos -c))+d. ...c.d w . a) Draw the midline on the graph. b) What is the amplitude of the graph? c) What is the period of the graph? d) What is the value of b in the above equation? e) What is the phase shift...
4. Find the amplitude, period, and horizontal shift of the function, and graph one complete period. y = 3 cos (1-7)
1. Which of the following equations corresponds to the given transformations of cosine? Amplitude is four, period is 2pi/3. right shift pi/6, shift down 1 a y = 4 cos (x - 5) - 1 b. y = 4 cos** (x + *** (x + ) +1 c. y = 24 cos 4 (x - 7) – 1 d y = 4 cos 3(x - os 3(x - ) - 1
-2TT 2TT a) State the amplitude, frequency, period, vertical and horizontal shifts, if any. b) Write an equation that represents the curve in the form y = a sin k(x – b) +c or y = a cos k(x – b) +0 c) State the exact coordinates of one x-intercept, one maximum and one minimum.
PLEASE SHOW WORK!!!!! 6) List the 5 key points for each of the following steps 9 if the step is not applicable, just write none), then graph the function, including 2 full periods, be sure to label the axis. y= 2+cos(x+1) Original Points: Amplitude: Period and endpoints: Reflection: Vertical Shift: Graph: 7) Graph the function for 2 full periods. Be sure to show and label the vertical asymptotes as well as the x-intercepts. F(x) = 4 tan (2x) 8) Evaluate...
Please solve the following 2 functions according to the information given and show all the steps Plz 4. Let f(:1) = (cos x)" (a) Find f'(:1) (b) Find equation of the tangent line at (27,1). (c) Find the linear approximation of f(x) at r = = 1 3. Given the function y sin 2.x = x cos 2y. (a) Find y'. (b) Find equation of the tangent line at (2, 1). (c) Find equation of the normal line at (),...
Differential Equation class. Show the steps for the solutions please. Section 3.2 Exercises To Solutions 1. Suppose that the mass is set in motion by moving it upward by 2.5 cm and releasing it with no initial velocity (a) Sketch what you think the graph of y versus t will look like, taking care with the fact that positive y is upward. Make the amplitude of the motion clear on your graph. (b) Express the initial conditions mathematically by giving...
OTRIGONOMETRIC FUNCTIONS Writing the equation of a sine or cosine function given its graph.... write an equation of the form y = a sinbx or y= a cosbx to describe the graph below. 3- JT D=0 31 3 151 - 2 -- X 5 ? rt