The diagram shows part of the curve y
WebThe diagram above shows a sketch of part of the curve C with equation . y = x3 – 10x2 + kx, where k is a constant. The point . P. on . C. is the maximum turning point. Given that the . x-coordinate of P is 2, (a) show that k = 28. (3) The line through P parallel to the x-axis cuts the y-axis at the point N. The region R is bounded by C, the y ... Web3 The equation of a curve is y= 2x2 + m 2x+ 1 , where mis a constant, and the equation of a line is y = 6 x +4. Show that, for all values of m , the line intersects the curve at two distinct points.
The diagram shows part of the curve y
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Weby A B M y = 5 y = +x 4 x The diagram shows part of the curve y = x + 4 x which has a minimum point at M. The line y = 5 intersects the curve at the points A and B. (i) Find the … WebThe diagram shows the line y = 4 and part of the curve with equation a) Show that the equation y = √x + 4 can be written in the form x = y² − 4. b) Find the area of the shaded region. c) Find the volume obtained when the shaded region is …
WebThe diagram shows part of the curve with equation y = x 2 + 1. The shaded region enclosed by the curve, the y-axis and the line y = 5 is rotated through 360° about the y-axis. Find the … WebThe diagram above shows a sketch of part of the curve C with equation . y = x3 – 10x2 + kx, where k is a constant. The point P on C is the maximum turning point. Given that the x-coordinate of P is 2, (a) show that k = 28. (3) The line through P parallel to the x-axis cuts the y-axis at the point N. The region R is bounded by C, the y-axis ...
WebMath Advanced Math y = -x + 8x -10 B The diagram shows part of the curve y = -x2 + 8x 10 which passes through the points A and B. The curve has a maximum point at A and the gradient of the line BA is 2. [7] (a) Find the coordinates of A and B. y = -x + 8x -10 B The diagram shows part of the curve y = -x2 + 8x 10 which passes through the points ... WebShow that the equation of the perpendicular bisector of AB is 3x + 2y = 11 (b) A circle passes through A and B and its centre lies on the line 12x − 5y = 70. Find an equation of the circle. …
WebMar 19, 2024 · The diagram shows a sketch of the curve y = sin xº. YA Р Q x a) Write down the coordinates of the point P. b) Write down the coordinates of the point Q. ] Feedback Advertisement goddessboi Answer: Point P is Point Q is Step-by-step explanation: We know that the function has a period of and that it oscillates between .
WebThe diagram shows part of the curve with equation y = 1/x 2 + x. At point P on the curve, x = 1 and at point Q on the curve, x = 2. Find the shaded area. b'z ねがい pv フルWebTranscribed image text: 11 A (2, 3) B -y = (x - 1)-2 +2 3 The diagram shows part of the curve y = (x - 1)-2 +2, and the lines x = 1 and x = 3. The point A on the curve has coordinates (2, … b z ねがいWebThe diagram shows the curve with equation y = x (x - 2)2. The minimum point on the curve ha coordinates (a,0) and the x-coordinate of the maximum point is b, where a and b are constants. 9. y = x (x - 2) NI (i) Find the values of a and b. (ii) Find the area of the shaded region. Previous question Next question b'z ねがい pvWebThe diagram shows part of the graph of y = a tan (x − b) + c. Given that 0 < b < π, state the values of the constants a, b and c. The fifth, sixth and seventh terms of a geometric progression are 8k, −12 and 2k respectively. Given that k is negative, find the sum to infinity of the progression. b'z ねがい pv 場所WebJun 6, 2024 · 7 The diagram shows part of the curve y=5-xx-1 and the line x=a Given that the total area of the regions shaded in the diagram is 19 units2 , determine the exact value of … b'z ねがい パクリWebThe diagram shows a curve with equation y = 4x 1/2 − 2x for x ≥ 0, and a straight line with equation y = 3 − x. The curve crosses the x-axis at A (4, 0) and crosses the straight line at B and C. (a) Find, by calculation, the x-coordinates of B and C. (b) Show that B is a stationary point on the curve. (c) Find the area of the shaded region b'z ねがい 歌詞WebThe diagram shows a sketch of part of the curve with equation y = f (x) There is one maximum point on this curve. The coordinates of this maximum point are (4, 6) (a) Write down the coordinates of the maximum point on the curve with equation (i) y = f (x + 4) (ii) y = f (2x) The equation of a curve C is y = x 2 + 3x + 4 bz ねがい pv