The curve c has equation y k 2/x+1
WebApr 26, 2024 · Question 5 The curve C has equation y=frac k2x+1 x ∈ RR 、 xneq 0 where k is a constant. a Sketch C stating the equation of the horizontal asymptote. WebA circle C has equation x 2 + y 2 – 4x + 10y = k where k is a constant. (a) Find the coordinates of the centre of C. (b) State the range of possible values for k. Given that a is a positive constant and show that a = lnk, where k is a constant to be found. A company plans to extract oil from an oil field.
The curve c has equation y k 2/x+1
Did you know?
WebThe given equation of the curve is of form (x − h) 2 + (y − k) 2 = r 2 where (h, k) be the center and r be the radius of the circle. View the full answer Step 2/3 WebThis equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, -1 for b, and 2-y for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}. ... by 2 to get -\frac{1}{2}. Then add the square of -\frac{1}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square. ... {2}-x+\frac{1}{4}. In ...
WebCurve fitting [1] [2] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [3] possibly subject to constraints. [4] [5] Curve fitting can involve either interpolation, [6] [7] where an exact fit to the data is required, or smoothing, [8] [9] in which a "smooth" function is ... WebThe curve C has equation y = (x+ 1)(x+ 3)2: (a) Sketch C, showing the coordinates of the points at which C meets the axes. [4] (b) Show that dy dx = 3x2 + 14x+ 15. [3] The point A, …
WebLeave blank 32 *P44969A03248* 11. Figure 2 Figure 2 shows a sketch of part of the curve C with equation y = ea–3x – 3e–x, x \ where a is a constant and a > ln4 The curve C has a turning point P and crosses the x -axis at the point Q as shown in Figure 2. (a) Find, in terms of a, the coordinates of the point P. (6) (b) Find, in terms of a, the x coordinate of the point … WebI am struggling to solve this question: The curve $C$ has the equation $$ k x^2 - xy + (k+1)x=1. $$ The line $l$ has the equation $$ -(k/2)x + y = 1. $$ Here $k$ is a ...
WebP40082A 4 6. Figure 1 Figure 1 shows a sketch of the curve with equation y = x 2, x ≠ 0. The curve C has equation y = x 2 − 5, x ≠ 0, and the line l has equation y = 4x + 2. (a) Sketch and clearly label the graphs of C and l on a single diagram.On your diagram, show clearly the coordinates of the points where C and l cross the coordinate axes.
Web(Question 10 - Jan 2008) The curve C has equation y = (x+ 3)(x 1)2: (a) Sketch C, showing clearly the coordinates of the points where the curve meets the coordinate axes. [4] (b) … all disability port macquarie campWebThe curve C has the equation. k x 2 − x y + ( k + 1) x = 1. The line l has the equation. − ( k / 2) x + y = 1. Here k is a non-zero constant such that l and C only intersect at one point. Find … all disaster nameWeb(b) Sketch the curves with the following equations: 2 (i) y = (x + 1) (2 – x), (ii) y = x 2. On your diagram show clearly the coordinates of any points at which the curves meet the axes. (5) … all disasters are man madeWebThe curve C has equation y = x^2 + 2x + 11 Find set of values of k for which l does not cross or touch C. To help preserve questions and answers, this is an automated copy of the original text. I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns. all disc golf brandsWebJan 13, 2015 · The curve C has equation y = 3x2 – 4x + 2 The line l 1 is the normal to the curve C at the point P(1, 1) (a) Show that l 1 has equation x + 2y – 3 = 0 (5) The line l 1 meets curve C again at the point Q. (b) By solving simultaneous equations, determine the coordinates of the point Q. (4) Another line l 2 has equation kx + 2y – 3 = 0 ... all disco elysium endingshttp://vle.woodhouse.ac.uk/topicdocs/maths/PastPapersOE/c12013Jan.pdf all disc locations originsWebA curve has equation y = 3 cos 2x + 2 for 0 ≤ x ≤ π. State the greatest and least values of y. answer 11 ( b ) Add To Classified 2 Mark s Sketch the graph of y = 3 cos 2x + 2 for 0 ≤ x ≤ π. answer 11 ( c ) (I) Add To Classified 1 Mark By considering the straight line y = kx, where k is a constant, state the number of solutions of the all disc in minecraft