6. For f(x) = 2 + tan for-360° SXS 360°. (a) For what values are there...
3. Bunyip reservoir is 1km long, 100m wide and 25m deep, with a uniform cross-section that is modelled by a curve of the form f(x) ax2 bx +c as shown in Figure 1. 100m (0,0) (100,0) 25m (50,-25) Figure 1: Cross-section of Bunyip Reservoir (a) Find the values of a, b and c, given that the points (0, 0), (50, -25) and (100, 0) lie of the curve. (b) When full, how much water d oes Bunyip reservoir hold (c)...
1) Write a script that plots sin(x), cos(x), tan(x) for x between 0 and 360◦ (or 2π radians) on one graph, adjusts the y axis to range between −10 and +10, and includes a legend identifying each line. 2)Write a Matlab function that sums up a specified number of odd-power terms from the Maclaurin series of sin(x) For example, if you use the function you wrote to sum the first 10 terms for x = 1, you should get 1...
need help with A, B, and C 1. Consider the graph of f(x). O SXS 4. Determine (approximately) the following: a. The x and y-coordinates of the local maximum and minimum (if any) of f(x). b. The x and y-coordinates of global maximum and global minimum. c. The x and y-coordinates of the inflection point. 20 15 10 5 - 10+
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which intervals is f(x) increasing or decreasing b) On which intervals is f(x) concave up or down? c) Sketch the graph of f(x) below Label any intercepts, asymptotes, relative minima, relative maxima and infection points
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8. -2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
X. 2 If f(x, y) = tan-1 xy *) then the value f(0.9, -1.2) is
answer all please 6. Find the amplitude of each function below- if no amplitude exists, write NA. a) y sinx b) y = - 3 cos (x) c) y = 2 tan (x) 7. Which of these functions is considered to be an odd function. a) y = cos(x) b) y =tan(x) c) y = sec (x) 8. Give me one value x with 0<x< 2 so that the following function is undefined at that angle. a) y = tan...
1. Determine the absolute extreme values of the function f(x) Mreme values of the function f(x) = sinx-cos.x+6 on the interval OSXS 2.19 2. a. Graph the function f(x) = V16-x in the grid below. [2] b. Determine lim f(x) and lim f(x). Explain your reasoning, 12) c. Determine lim f(x). Explain your reasoning. [2]
Consider the surface defined by 2 = f(x,y), where f(x, y) = (x + y2 - 1)(x + y - 4). (a) In three separate diagrams draw the level sets of the function at C=2, C = 4, and C= 6. State the coordinates of any isolated points and the radii of any circles that make up these level sets. (Hint: To get an idea of what the surface looks like it might help to look at the curves f(0,y)...