14 points) Find an equation for the following graph. + 97 31 67 37 2 -T
40. Consider the following tree: 48 29 81 14 37 67 88 17 55 85 97 N Figure 7 a) (1 mark) What is the height of this tree? b) (1 mark) What is the level of the node containing "17"? c) (1 mark) What is the value contained in this tree's root node? d) (1 mark) What are the ancestors of the node containing "81"? e) (1 mark) How many leaf nodes are contained in this tree? f) (1...
(-15 Points] DETAILS LARCALC11 2.5.038. Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y - 3)2 = 37, (-3,9) y = Your answer cannot be understood or graded. More Information X Circle 3,9) 8 2 8
6. Match the following equations to the graph that represents it. [4 Points] Equation A: y = x2 + 2 Equation B: y = -x + 2 Equation C: y = (x - 2)2 Equation D: y = 2x2 y 37 Y 3 -3 3 X -3 LL 3 3 x -11 Equation: Equation: Equation: Equation: 7. Let f(x) = Vx. Write the equation for the resulting function when the following transformations are performed in order) onf (x): [3 Points]...
Graphs (15 points) 14. For the following graph (8 points): a. Find all the edges that are incident of v1: b. Find all the vertices that are adjacent to v3: C. Find all the edges that are adjacent to e1: d. Find all the loops: e. Find all the parallel edges: f. Find all the isolated vertices: g. Find the degree of v3: h. Find the total degree of the graph: e3 e2 V2 VI 26 e4 e7 es 05...
2. (20 points) Find the solution y (t) of the following differential equation: -{ 0t< 4 0 y"9y (t) y(0) = 1, /(0) = 0, t 4 3
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0; 2. Use...
The following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. y= x y 56 4 3 2 1 J5- 57 8 - 37 8 - 37 8 8 8 -2 -3 - -5F
10 pts The regression equation for the given data points is provided. Graph the regression equation and the data points. x 10 14 20 6 6 14 16 24 32 36 y 19 23 29 12 17 23 25 33 37 5 A = 9.3 +0.95% 40 30 20+ 10+ 4 8 12 16 20 24 28 32 36 40 %
7. Find the x-coordinates of all points in the interval [-21, 2 at which the graph of f(x) = cser has a horizontal tangent line. (a) -37/2, -1/2, 1/2, 3/2 (b) TT, TT (C) -1, 0.1 (d) --31/2, 0, 37/2
Find an equation for the ellipse. Graph the equation. foci at (-2,2) and (-2,-8); ength of major axis is 14 Type the left side of the equation of the ellipse Which graph shown below is the graph of the ellipse? O A OB OC. O D. .9 Click to select your answerls),.