The two cylinders have the same height of 20 cm. If x - 1, x - 3 and x + 1 are all factors of a polynomial P(x) of degree 3, which of the following must also be a factor of P(x)?Ī cylinder of radius 5 cm is inserted within a cylinder of radius 10 cm.
What is the smallest positive zero of function f(x) = 1/2 - sin(3x + Pi/3)? The y coordinates of all the points of intersection of the parabola y 2 = x + 2 and the circle x 2 + y 2 = 4 are given by The area of the circle x 2 + y 2 - 8y - 48 = 0 is The domain of f(x) = √(4 - x 2) / √(x 2 - 1) is given by the interval If f(x) = (x - 1) 2 and g(x) = √x, then (g o The lines with equations x + 3y = 2 and -2x + ky = 5 are perpendicular for k = What is the equation of the horizontal asymptote of function What is the smallest distance between the point(-2,-2) and a point on the circumference of the circle given by What is the length of vector w given by w = - u - 2 v? Vectors u and v are given by u = (2, 0) and v = (-3, 1). N is another point on the circle so that angle McN has a size of 30°.
The circle of equation (x - 3) 2 + (y - 2) 2 = 1 has center c. Which of these graphs is the closest to the graph of
If L is a line through the points (2,5) and (4,6), what is the value of k so that the point of coordinates (7,k) is on the line L?įind a negative value of k so that the graph of y = x 2 - 2x + 7 and the graph of y = kx + 5 are tangent? What is the probability that the sum of the two dice is greater than 3?