Parabola - practice problemsDirection: Solve each problem carefully and show your solution in each item.
Number of problems found: 18
- What is 25
What is the trunk of 8 and 10?
- Parabola with abs
A). Sketch the graph of the function f(x)=x * absolute(x) = x * |x| b). For what values of x is f(x) differentiable c). Find F(x)
- Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B.
- Determine 80662
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2).
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c
- Trapezoid and bases
Find the area of the trapezoid whose bases differ by three and whose height is three less than twice the upper base.
- The sequence
Find the nth term of the progression 2,6,12,20...
The soldier fired the Ball at an angle of 35° at an initial velocity of 292 m/s. Determine the length of the litter. (g = 9.81 m/s2).
- Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10.
- A missile
A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises. Fps foot per second.
- An archer
An archer stands 60 meters (m) from a target. She launches an arrow that lands 3 centimeters (cm) from the bull's eye. The archer changes her position to 40 m from the target, and her next arrow lands 2 cm from the bull's eye. She changes her position to
- Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court?
- Ballistic curve
The soldier fired the ballistic grenade at a 45° angle. The first half ascended, and the second fell. How far and height it reached if his average speed was 1200 km/h, and 12 seconds took from the shot to impact.
- Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c)
- Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2]
- FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
The jar has the shape of a cylinder. Height of jar h = 8 cm, and jar diameter D is 8 cm. After rolling the pot, some water spilled, and the water level accurately reached half of the base. The water level makes a parabola with the same diameter. How to ca