SpletFind a and b so that the line y = - 3 x + 4 is tangent to the graph of y = a x 3 + b x at x = 1. Solution to Problem 2: We need to determine two algebraic equations in order to find a and b. Since the point of tangency is on the graph of y = a x 3 + b x and y = - 3 x + 4, at x = 1 we have a (1) 3 + b (1) = - 3 (1) + 4 SpletEquation of the line is : 3 x − 4 y + 25 = 0 This line will cross the x-axis at F ( − 25 / 3, 0) and y-axis at E ( 0, 25 / 4), and also will be tangent to this given circle at point G. The Line EF …

Tangent to a Circle The Circle AnkPlanet

SpletDetermine the exact value of sin(θ)+cos(θ) if csc(θ) = 3 and (θ) is in Quadrant II. Draw a triangle. Opposite side is 1, hypotenuse is 3, adjacent side is 2 2 Find sin,cos.Note the signs +,− respectively. A slightly 'expanded-upon' version of user67418's answer: The circle here represents the parametric curve (x = cosθ,y = sinθ), and ... SpletThe line y = 3x – 4 is a tangent to the circle C, touching C at the point P(2, 2), as shown in Figure 1. The point Q is the centre of C. (a) Find an equation of the straight line through P … ffxiv all manderville weapons

Prove that the line

Splet11. mar. 2024 · The initial sketch showed that the slope of the tangent line was negative, and the y-intercept was well below -5.5. The tangent line equation we found is y = -3x - 19 in slope-intercept form, meaning -3 is the slope and -19 is the y-intercept. Both of these attributes match the initial predictions. 6 Try a more difficult problem. SpletThe line 4x - 3y = - 12 is tangent at the point ( - 3, 0) and the line 3x + 4y = 16 is tangent at the point (4, 1) to a circle. The equation of the circle is Question The line 4x−3y=−12 is … SpletWorked example 13: Equation of a tangent to a circle. The straight line \(y = x + 4\) cuts the circle \(x^{2} + y^{2} = 26\) at \(P\) and \(Q\). Calculate the coordinates of \(P\) and … ffxiv all mounts fly