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Find the equation of the parabola that satisfies the following condition:
Focus (0, –3); directrix y = 3
Concept: undefined >> undefined
Find the equation of the parabola that satisfies the following condition:
Vertex (0, 0); focus (3, 0)
Concept: undefined >> undefined
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Find the equation of the parabola that satisfies the following condition:
Vertex (0, 0) focus (–2, 0)
Concept: undefined >> undefined
Find the equation of the parabola that satisfies the following condition:
Vertex (0, 0) passing through (2, 3) and axis is along x-axis
Concept: undefined >> undefined
Find the equation of the parabola that satisfies the following condition:
Vertex (0, 0), passing through (5, 2) and symmetric with respect to y-axis.
Concept: undefined >> undefined
If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.
Concept: undefined >> undefined
An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?
Concept: undefined >> undefined
The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.
Concept: undefined >> undefined
An equilateral triangle is inscribed in the parabola y2 = 4 ax, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.
Concept: undefined >> undefined
Find `lim_(x -> 5) f(x)`, where f(x) = |x| - 5
Concept: undefined >> undefined
Suppose f(x) = `{(a+bx, x < 1),(4, x = 1),(b-ax, x > 1):}` and if `lim_(x -> 1) f(x) = f(1)` what are possible values of a and b?
Concept: undefined >> undefined
Rewrite the following statement with “if-then” in five different ways conveying the same meaning.
If a natural number is odd, then its square is also odd.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
If x is a prime number, then x is odd
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
It the two lines are parallel, then they do not intersect in the same plane.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
Something is cold implies that it has low temperature.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
You cannot comprehend geometry if you do not know how to reason deductively.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
x is an even number implies that x is divisible by 4
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
You get a job implies that your credentials are good.
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
The Banana trees will bloom if it stays warm for a month.
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
A quadrilateral is a parallelogram if its diagonals bisect each other.
Concept: undefined >> undefined
