The diagram shows part of the curve y
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 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 …
The diagram shows part of the curve y
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WebM 2 The diagram shows part of the curve y = (2x – x2) ex* y = (2x – x2) ext and its maximum point M. (i) Find the exact x-coordinate of M. [4] (ii) Find the exact value of 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 ...
WebSep 16, 2024 · The diagram shows part of the curve #y = x^2 + 1#. Find the volume obtained when the shaded region is rotated through #360°# about the #y# -axis. The shaded regions boundaries are the following: #0 <= x <= 2# and #1 <= y <= 5# . 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. …
WebJan 18, 2024 · for x= -3, y=9 , the point of intersection is (-3,9) for x= 2, y=4, the second point of intersection is ( 2,4) Since the diagram is not shown, I will assume you need to find the … 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 ...
WebThe diagram shows the lines y = 2 and y = 5 and part of the curve y = 2x + 1. The shaded region is rotated through 360 about the y-axis. Find the exact value of the volume of revolution obtained. YA 54 4- 3- 2 1 0 y = 5 y = 2x + 1 y
Weby O A 4,0 B 0,2 C h,3h D The diagram shows a trapezium ABCDin which the coordinates of A, Band Care 4, 0 , 0, 2 and h, 3h respectively. The lines BCand ADare parallel, angle ABC= … bipoc housing developersWebThe 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 dali thermalWebHere I solved the …. 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, 3). The normal to the curve at A crosses the line x = 1 at B. ) Show that the normal AB has equation y = £x+2. [3] ARCHES 19 (ii) Find, showing all necessary ... dalithoy caloriesWebThe 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. dalit hornWebOct 23, 2014 · The diagram shows part of the curve with equation y = f (x). The coordinates of the minimum point of this curve are (3,1). Write down the coordinates of the minimum point of the curve with equation (a) y = f (x) + 3 (b) y = f (x - 2) (c) y = f (1 and a half x) Follow • 2 Add comment Report 1 Expert Answer Best Newest Oldest dalithoyWebSolution For The diagram shows part of the curve with equation y=3x+lnx−x2 and the line y=x. Given that the curve and line intersect at the points A . The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor login. Login. Student Tutor. Filo instant Ask button for chrome browser. ... dali the persistence of memory khan academyWebThe diagram shows part of the curve y = − x 2 + 8 x − 10 which passes through the points A and B. The curve has a maximum point at A and the gradient of the line B A is 2 . (a) Find the coordinates of A and B. [7] dali the persistence of memory 1931