6. Given the equation: y = x2 + 4x + 3 a. (3 pts) Find the vertex b. (3 pts) Find two other points on the parabola and graph the equation on the grid below 7. (4 pts) Graph the following linear equation on the grid below: y = x-5 3
A quadratic function f is given. flx) = -x2. 4x 3 (a) Express f in transformation form. f(x) (b) Find the vertex and x and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y) vertex (x, y) (smaller x-value) x-intercepts (x, y) (larger x-value) (x, y) yintercept (c) Sketch a graph of f. Tools Actions Clear Al 1. Select an object from the Tools menu to the left. Delato 2. Enter coordinates in Object Properties below,...
P 8. (6 pts.) Consider the ODE (x2 + 4x + 4)y" - (x + 2)y' + y = 0. For each part, what FORM of power series would you use to find a series solution about the given point? It is possible that we do not have a guaranteed form of power series solution. You do NOT need to solve for the coefficients or for r. A. about r = -2 B. about = 0
0 3.2.69) Find the x-intercepts and y-intercepts of the circle x2 + y2-4x- 6y +4 3.4.25) Find the domain of f (x)9x 3.6.1) Find the equation of any parabola that has vertex V(-3, 1) x+1
5/3 pts Consider the parabola given by the equation: y= 22 -102 - 3 Find the following for this parabola: A) The vertex = ( B) The y intercept is the point (0, C) Find the two values of that correspond to the x intercepts of the parabola and write them as a lis separated by commas: 2 = Round your answer(s) to two decimal places. Question Help: D Video Message instructor Submit Question
6. Given x2 + y2 - 4x -Ny-16 = 0 is the equation of a circle in general form, which of the following represents the standard form of this circle? A) (x-4)2 + (y - 3)2 = 36 B) (x - 2)2 + (y - 4)2 = 36 6) C) (x - 2)2 + (y - 4)2 = 6 D) (x + 4)2 + ( + 8)2 = 36 E) None of the Above 7. Write the equation of a...
17) Given the quadratic function g(x)= -x2 - 4x + 4 a) Express the quadratic function in standard forn b) Find its vertex.
a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...
Assume that x and y are functions of t, and x and y are related by the equation y= 4x+3. (a) Given that dx/dt=1, find dy/dt when x=2. (b) Given that dy/dt=4, find dx/dt when x=3.
Evaluate the double integral. (x2 y)dxdy 5. 6. Use (repeated) integration by parts to find 4x cos 2xdx.
Evaluate the double integral. (x2 y)dxdy 5. 6. Use (repeated) integration by parts to find 4x cos 2xdx.