{eq}ax^2 + bx + c = 0 {/eq} Using the factored form: {eq}a (x - x_1) (x - x_2) = 0 {/eq} Since our two solutions are...
If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coefficient of x^(-7)in [ax - (1/(bx^(2)))]^(11) then a and b satisfy the relation
Answer to: Let f x = x 1 - x if x greater than or equal to 0 x^2 + ax + b if x less than 0 Find the value of a, b such that f is differentiable...
{eq}= bx + a {/eq} if {eq}x> 3 {/eq} Continuous Function A function {eq}f(x) {/eq} is continuous at the point {eq}x=x_0 {/eq} if and only if the limit of the function at the point exists, the funct...
Find the continuous of these function: f(x) equals 1 by x plus 2 at a equals minus 2. f(x) equals 1 by x plus 2 if x is not equal to minus 2 and 1 if x is equal to minus ...
Without calculus, at what point of the parabola f(x) equals minus 1/2 x square plus x plus 3, can you find a tangent line? Give the equation of that tangent. Find a parabola with equation y = Ax^2 + Bx + C that has a tangent line at x =...
If limit_{x to 0} f'(x) = L show that f'(0) exists and equals L. Prove that if f'(x) = 0 for all x in an interval (a, b), then f is constant on (a, b). Use the Intermediate Value Theorem to prove that f(x) = x^...
Find A and B so that f(x,y) equals x^2 + Ax + y^2 + B has a local minimum at the point (5,0), with z-coordinate 25. Find A and B so that f(x, y) = x^2 + Ax + y^2 + B has a local minimum at the ...
Find the value of c that makes the function continuous. What values of a and b make the function f continuous everywhere ? f(x) equals { (x^2 - 4) divided by (x-2) if x less than 2 ; ax^2 - bx - 18...