The diagram shows a quadratic given by y = r² + b3 + c. (2,4) (a)...
1(a) Find the square roots of the complex number z -3 + j4, expressing your answer in the form a + jb. Hence find the roots for the quadratic equation: x2-x(1- 0 giving your answer in the form p+ q where p is a real number and q is a complex number. I7 marks] (b) Express: 3 + in the form ω-reje (r> 0, 0 which o is real and positive. θ < 2π). Hence find the smallest value of...
A quadratic equation is generally represented as, ax^2 + bx + c The root(s) of the above quadratic equation is computed using the following formula, root1 = (-b + sqrt(D))/ 2a root2 = (-b - sqrt(D))/2a Where D is the discriminant of the quadratic equation and is computed as, D = b^2 - 4ac Given the value of D, the roots of a quadratic equation can be categorized as follows, D > 0 : Two distinct real roots D =...
2:02 a W3.2.VQ- Click here to view video. Find the quadratic function y = ax2 +bx+c whose graph passes through the given points (3, - 7),(-1,5), (-2,23) y=0
C++ The roots of the quadratic equation ax² + bx + c = 0, a ≠ 0 are given by the following formula: In this formula, the term b² - 4ac is called the discriminant. If b² - 4ac = 0, then the equation has a single (repeated) root. If b² - 4ac > 0, the equation has two real roots. If b² - 4ac < 0, the equation has two complex roots. Instructions Write a program that prompts the...
The roots of the quadratic equation ax2 + bx + c = 0, a following formula: 0 are given by the In this formula, the term i2 - 4ac is called the discriminant. If b4ac 0 then the equation has a single (repeated) root. If -4ac > 0, th equation complex roots. Write a program that prompts the user to input the value of a (the coefficient of ), b (the coefficient of x), and c (the n has two...
Please do 2,4, and 10 d s and y when n the Argand dilagram, the origin is the numbers representing the other vertices Spress 2 + /S and 1 -12 in potar torm and a 60 tex of the triangle is the point 3 -NS. Find the comps centre ot an epuailateral trang 2 Express the result in th e form a jo and in espoment form. nd the fnith roots of -3+3 in polar form and in esponential torm...
B (2,4) A (-2,3) C (11,2) 0 3y+ 2x+5-0 In the diagram, the points A, Band C have coordinates (-2,3), (2,4) and (11,2) respectively. D is a point such that DA is perpendicular to AB, and Dlies on the line 3y+ 2x+ 5 = 0. 141 Find the coordinates of D. Point E lies on DC and the ratio of the length of DE to the length of DCis 2:3 (i) 141 (ii) Find the area of triangle DBE. (ii)...
Given the set of information, find a linear equation satisfying the conditions, if possible. (If not possible, enter IMPOSSIBLE.) passes through (x, y) = (1, 6) and (x, y) = (7, 18) y = _______ 7. Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function. (h, k) = (0,7), (x, y) = (2, 11) f(x) = _______
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as in the method of solving order 2 Cauchy-Euler equations. е A. One repeated real root. B. Two distinct real roots. C. No roots D. One complex root. E. Two complex roots. F. One real root and one complex root. G. None of the above (1 point) To find , and u, we would need to integrate which of the following? Mark all that apply....
Question 3 Write the correct values in the boxes. //Л VIX LIX The diagram at left shows the food web connecting r eats y Make your own diagram of the the niche overlap graph for this digraph, and use it to supply the information requested in the following three questions (There is no need to show your diagram, and if you do it will not be assessed.) (a) The degree of vertex h in the niche overlap graph is (b)...