two questions, need to see work thank you! Find an equation for the line with the...
Write the equation of the quadratic function whose graph is a parabola containing the given points. (0,3), (3, 15),(-3, 27) O a) y = 2x²-x+3 b) y = 2x2 + 2x +1 c) y = 22² - 2x + 3 Od) y = 3x2 - 2x + 3
Consider the function f(1) = 22 - 62+5 Answer all parts: (a) - (). (a) The vertex is (b) The axis of symmetry is (c) The 2-intercept(s) is (are) (Enter the list, separated by a comma. (d) The y-intercept is y = (e) Sketch a graph of f(x) = 22 - 61 +5. Instructions: To sketch the graph, click on the following locations: (1) vertex (2) the x--intercepts 10 10 0 -10 After graphing answer the following: (f) What is...
From the graph of the function, state the intervals on which the function is increasing, decreasing, or constant The function is increasing on what interval? O A. (-1, o0) OB. 14, oo) О с. (4.00) O D. I-1,00 The function is constant on what interval? O A. 1-4,4 O B. (-4,4) O C. (-1,8) The function is decreasing on what interval? 0 A. [-4, 41 O c. (-1, oo) O D. (-0, -4) Click to select your answer Find (f...
This Question: 1 pt 39 of 40 Find an equation for the line that passes through the point P(9.2) and is perpendicular to v = 2i + 5j. O A. 5x – 2y = 41 OB. 2x+ 5y = 29 O c. 2x + 5y = 28 OD. y-2=-(-2)
1. Find the equation of the tangent line to: a) y = x2 – 3 at the point (2,1) b) y = cos x at the point (1,1) c) y=e" at the point where r = 1 d) r3 + y3 = 19 at the point (3,-2) 2. Find the equation of the normal line to: a) y = r at the point (2,8) b) y=x+ at the point where x = 2 c) y = 2:03 - 5x +...
Please answer with steps and laws/rules used. Thank
you!
1. Find an equation of the tangent line to the graph of y = (5x at (0,1).i/pi. 2. Find an equation of the tangent line to the graph of x2 + y2 = 25 at (3, 4).i/pi.
Consider the differential equation y' (t) = (y-4)(1 + y). a) Find the solutions that are constant, for all t2 0 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as...
Find an equation for the line with the given properties. Perpendicular to the line - 7x + 8y = -2; containing the point (6,0) O A. 8x - 7y = 48 OB. 8x + 7y = 48 O C. -7x -8y = 48 O D. 8x - 7y= -2
6. (10 points) Find the equation of the line that is perpendicular to the line 6x - 4y = 3 and passes through the point (6,-1). (a) Find the slope of the given line 6x – 4y = 3. (b) What is the slope of a line that is perpendicular to the above line? (c) Now, find the equation of the perpendicular line that passes throu
Q2)a) [5pt] Find the equation of the line in the plane (in y = mx +b form) that is perpendicular to the line y = 1/5x + 17 and goes through the point (9, 12). Equation of the line: _______ Q2)b) [5pt] Find the equation of the line in the plane that is perpendicular to the y axis and goes through the point (-2,4). Equation of the line:_______