given x^2+kx+16=0, find all values that k gives: a) two real solutions b) one real solution...
Find all solutions (real or complex) to the following: (a) z² + 2+2 = 0 (Suggestion: quadratic formula) (b) z4 – 16 = 0 (Suggestion: factor -- difference of squares)
For the following, find the discriminant, and then determine whether one real-number solution, two different real-number solutions, or two different imaginary number solutions exist. For the following, find the discriminant, b-4ac, and then determine whether one real-number solution, two different real-number solutions, or two different imaginary number solutions exist. x2+2x+7 0 What is the discriminant, b2-4ac? (Simplify your answer.) What is the nature of the solution(s)? O A. There are two different imaginary-number solutions. O B. There are two different...
5. A general solution of x' Ax is given by (a) G Sketch the half-line solutions g h the half-line solutions generated by each exponential term of the solution. Then, rough approximation of a solution in each region determined by the half-line solu- sketch a tions . Use arrows to indicate the direction of motion on all solutions. -2 The equilibrium at the origin is best classified as a (circle one): i. nodal sink, ii. nodal source (b) v. spiral...
1. Find the real solutions of the following equation: 736 + 16 = 4 A) {0) B) (1) 1) D) {4} E) None of the Above 2) 2. Find the real solutions of the following quadratic equation: x2 – 3x = 18 A) {6} B) (-6,3) C) (-3) D) {-3,6) E) None of the Above 3. Find the equation of the line in slope-intercept form that is perpendicular to the line y = 3x - and contains the point (6,2)....
Answer all Please! Thanks 1. Confirming Solutions to Differential Equations: Verify that each function does in fact solve the given differential equation. If there are parameters in the function (A. b. k), give the range of values of those parameters for which that function is a solution. The prime indicates differentiation with respect od dr' (b) y" + 4y = 0; y = A sin(kx + φ). (c) y"-4s, + 4y = 0, y = Axe . (d) x2y', +...
1. The density function of b is given by kx(1 - x) f(x) = { for 0 < x 51, elsewhere. (a) Find k and graph the density function. (b) Find P(1/4 < ſ < 1/2). (c) Find P(-1/2 sã < 1/4). (d) Find the CDF and graph it. (e) Find E( ), E(52), and V(5). 1. The density function of ğ is given by |kx(1 – x) o for 0 < x 51, elsewhere. f(x (a) Find k and...
sin x - 2 sin x 0 (a) all radian solutions (Let k be any Integer.) *- rek, g +21ck, + 2k rad 3 (b) OSX<27 151 X= 3? 3 X rad TT Need Help? Read It Talk to a Tutor 7. [1/2 points) DETAILS PREVIOUS ANSWERS MCKTRIG8 6.1.043. Solve the following equation for all radian solutions and if o sx<27. Give all ansy there is no solution, enter NO SOLUTION.) 2 sin2 x sin x - 1 = 0...
Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
12. Find all solutions with 0 <I<27: sec r = -2 13. Find all real solutions: sin r 2 14. Find all real solutions: 3 tan (3x) + 1 = 0