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Question 907764: 3. A circle passes through A(-3,2) and has center O(1,5).
(i) Find the radius of this circle.
(ii) Use (i) to find the circle’s equation.
(iii) Graph this circle. Expand your scale wisely to make it clear on graph paper.
(iv) Label A and O with their coordinates.
(v) The circle passes through B(-2,b). Find b.
(vi) Add B to your graph and label it with its coordinates.
(vii) Draw the tangent line to the circle at B.
(viii) Find the equation of the line you just drew.
(ix) The line you just drew passes through the point E(100,c). Find c.
(x) Exactly how far is E from the center of the circle?
Click here to see answer by ewatrrr(24785)  |
Question 907762: 2. The curve f(x) = Ax^3 + Bx + 3 passes through the points F(1, -4) and G(-2,5).
(i) For point F, write the equation that the curve must satisfy.
(ii) Do the same for point G.
(iii) Solve (i) and (ii) simultaneously to find the values of A and B. Show how great you are at fractions by NOT using decimal approximations.
(iv) Use (iii) to write the equation of this curve.
(v) The curve passes through H(-1, d). Find d.
(vi) Find the average rate of change of the secant line HF.
Click here to see answer by josgarithmetic(39617) |
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