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g) Identify the function by its graph: y D. -(x+2)2-5 сл A. (x-2)2+5 B.-(2-2)2+5 C.-(x+2)2 +5...
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1) Let A, B, C, and D be the matrices defined below. Compute the matrix expressions when they are defined; if an expression is undefined, explain why. [2 0-1] [7 -5 A= .B -5 -4 1 C- ,D= (-5 3] [I -3 a) AB b) CD c) DB d) 3C-D e) A+ 2B 2) Let A and B be the matrices defined below. 4 -2 3) A=-3 0, B= 3 5 a) Compute AB using the definition of...
Let A, B, C, and D be matrices with the following sizes: A, 5×3 B, 3×2 C, 3×5 D, 1×3 Which of the following matrix operations are defined? i) AB (ii) A + 1 4 C (iii) DC
(-5,2) (-2,-1) Graph of g The continuous function g has domain -5 < x < 2. The graph of g, consisting of two line segments and a semicircle, is shown in the figure above. The graph of g has a horizontal tangent at x = -1. Let h be the function defined by h(x) = S-29(t)dt for -5 < < 2. (a) Find the x-coordinate of each critical point of h on the interval -5 < x < 2. (b)...
8. Graph the function below and identify its key features. (2 points) g) = log (x + 10) - 1 a) Find g'(x) algebraically and show all work. (4 points) b) Graph g (x) on the same axes above. (2 points)
8. Graph the function below and identify its key features. (2 points) g) = log (x + 10) - 1 a) Find g'(x) algebraically and show all work. (4 points) b) Graph g (x) on the same axes above....
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(1) Length of graphs a) Let a path C be given by the graph of y - g(x), a b, with a piecewise C function g : [a,b] → R. Show that the path integral of a continuous function f : R2 → R over the path C is b) Let g: a bR be a piecewise Cl function. The length of the graph of g on (t, g(t)). Show that [a,b] is defined as...
Please solve these three questions!
(1) Length of graphs a) Let a path C be given by the graph of y g(x), a 3 < b, with a piecewise C1 function g : [a, b - IR. Show that the path integral of a continuous function f: IR2- R over the path C is b) Let g : [a, b] - IR be a piecewise C1 function. The length of the graph of g on (t, g(t)). Show that [a,b]...
Match each function with its graph Function Graph Color a. red If'(x) f''(x) b. green c. blue 2 -54 -3 -2 -1 1 2 3 4 5 1 -2 a The function graphed above is decreasing on the interval << The inflection point is at x =
5. Suppose an individual's utility function is U(x, y) = Vx+2. Vy, and her total budget is $90. The price of y is always $1, but the price of x drops from $1 to 50 cents. Calculate the substitution effect on x and the income effect on y. a. SE= +32 X; IE= +10 Y b. SE= +32 X; IE= - 22 Y c. SE= +18 X; IE= - 22 Y d. SE= +18 X; IE= +10 Y
4 -2 2. The function f is defined on the closed interval [-4,9]. The graph of f consists of a semicircle, a quarter circle, and three linear segments, as shown in the figure above. Let g be the function defined by g(x) = 3x + f(t) dt. (a) Find g(8) and g'(8). (b) Find the value of x in the closed interval (-4,9] at which g attains its maximum value. Justify your answer. (c) Find lim f'(x), or state that...
Identify the adjacency matrix for the graph. B E A C D B C D E 1 1 0 0 A А] 1 В 1 ос Do 0 1 0 o 1 0 о 1 0 0 1 0 E о 1 0 0 0 A 1 В Ос A B C D E 0 0 0 1 о 0 0 0 0 o 1 1 0 0 0 1 0 0 1 1 0 о 1 С D E...