The two roots of the quadratic equation ax2 + bx + c = 0 can be found using the quadratic formula as -b+ v62 – 4ac . -b-v6² – 4ac 1 X1 = - and x2 = 2a 2a When b2 – 4ac < 0 this yields two complex roots - -b V4ac – 62 -b Vac – 6² x1 = = +. . 2a 2a i. and x2 = . za 2al Using the quadratic formula the roots of...
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...
Let α and β be real numbers with 0 < α < βく2m and let h : [α, β] → R>o be a continuous function that is always positive. Define Rh,a to be the region of the (x,y)-plane bounded by the following curves specified in polar coordinates: r-h(0), r-2h(0), θ α, and θ:# β. 3. (a) Show that (b) (c) depends only on β-α, not on the function h. Evaluate the above integral in the case where α = π/4...
Recall the quadratic equation ax2 + bx + c = 0. Prove that there does not exist any integer solution to this equation if a, b, and c are all odd integers. (No integer solution means that there does not exist any integer x that satisfies the equation ax2 + bx + c = 0).
Exercise 2: Show that the parabola y = ax2 + bx + c, a + 0, b and c are constants, has its largest curvature at its vertex and that it has no minimum curvature.
Let X1 ,……, Xn be a random sample from a Gamma(α,β) distribution, α> 0; β> 0. Show that T = (∑n i=1 Xi, ∏ n i=1 Xi) is complete and sufficient for (α, β).
Help with MATLAB.
i did like
input('enter the coefficients of a quadratic equation "Ax2 + Bx
+ C = 0"')
fx=(-B+sqrt(B^2+4*A*C))/(2*A);
i just dont know how i can ask the user to input three
(A,B,C)?
thanks!
EXERCISE 6 Ask user to enter the coefficients of a quadratic equation, Ax² + Bx + C = 0, i.e. A, B, and C, and calculate the roots of the equation using the quadratic formula, ., --B+VB? - 4AC 2A
3. Let X be a continuous random variable with probability density function ax2 + bx f(0) = -{ { for 0 < x <1 otherwise 0 where a and b are constants. If E(X) = 0.75, find a, b, and Var(X). 4. Show that an exponential random variable is memoryless. That is, if X is exponential with parameter > 0, then P(X > s+t | X > s) = P(X > t) for s,t> 0 Hint: see example 5.1 in...
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...
for a matrix solution of the quadratic (3) Find a formula of the form x = -B C equation ax2 + bx +c = 0. Here c denotes and 0 denotes 0 0 (Hint: First show how the square root of any number D can be obtained using a where it looks different depending matrix of the form on whether D is negative. Then use the quadratic formula.) positive or
for a matrix solution of the quadratic (3) Find a...