9. Given the function g(x) = 0.75 cos x -0.5, the equation of the central axis...
8. Given the function g(x) = 0.75 cos(x – 0.5, the period is a. 4 b. EIN c. d. 0.5
Given the function ry g(x, y) = g(x, y) lim (x,y)(0,0) a. Evaluate iii. Along the line y i. Along the x-axis: x: iv. Along y x2: ii. Along the y-axis: g(x, y) exist? If yes, find the limit. If no, explain why not. b. Does lim (r,y)(0,0) c. Is g continuous at (0,0)? Why or why not? d. The graphs below show the surface and contour plots of g (graphed using WolframAlpha). Explain how the graphs explain your answers...
Find an integrating function of only one variable and solve the given equation cos x cos y dx + (sin x cos y - sin xsin y + y) dy = 0
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14
a. e. b. f. 7. Given the function f(x) = 4(2)* - 3 , the equation of the horizontal asymptote is a. X=-3 e. y=-3 b. X=4 f. y = -2 c. X= 3 g y = 2 d. y = 0 h. none of these 8. If we apply the mapping (x,y) → (x-3,- 2y + 1) to f(x) = (3)* , the equation of the image is y = 2(3) *-3 + 1 y=-(3)*+2 + 1 =-2(3)*+3+1 y=-2(3)*+3...
Identify the vertex, axis of symmetry, and intercepts for the graph of the function. 6) g(x) = x2-8x + 7 A) Vertex at (4, -9); axis: y = -9; x-intercepts: none; y-intercept: (1,0) B) Vertex at (-4,55); axis: x = -4; x-intercepts: none; }-intercept: (1,0) Vertex at (-4,55); axis: y = 55; x-intercepts: (1, 0) and (7,0); z-intercept: (0,7) D) Vertex at (4, -9); axis: x = 4; x-intercepts: (1,0) and (7,0); p-intercept: 0,7)
[4+3+3 Points] 9. For the following probability density function, f(x) -k for 0 <x < 0.5 f(x) - 3x2 for 0.5 < x < 1 f(x) -0 otherwise What is the value of k? Find the median value of x Find the probability that X<0.75 a. b.
Consider the surface given as a graph of the function g(x, y) = x∗y 2 ∗cos(y). The gradient of g represents the direction in which g increases the fastest. Notice that this is the direction in the xy plane corresponding to the steepest slope up the surface, with magnitude equal to the slope in that direction. 1. At the point (2, π), find the gradient, and explain what it means. 2. Use it to construct a vector in the tangent...
this is numerical analysis please do all the questions 1. A function g(x) is called a contraction on the interval (a,b) if g([a, b]) c [a, b] and moreover, there exists 0 <k < 1 such that væ, y € [a, b] we have 19(x) – 9(y)<k|x – yl. (a) Find d > 0 such that the function g(x) = cos x is a contraction on (0.5 - 4,0.5 + d). Justify fully. Hint: The cosine of 1 radian is...
Suppose an individual had a utility function given by: U=X^0.8Y^0.5. The price of Good X is $3 and the price of Good Y is $0.75. The individual has a budget of $29.25. Solve the optimization condition for Y given the values above and fill in the blank below.