The diagram shows part of the curve y
WebA curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it. For example, a circle is an example of curved-shape. In Mathematics, Geometry is a branch that deals with shapes, sizes, and the … WebThe diagram shows the line y = 1 and part of the curve with equation y = 4 x. a) Find the volume obtained when the shaded region is rotated through 360 about the x-axis. b) Find the volume obtained when theshaded region is rotated through 360about the y-axis. -3 -2 …
The diagram shows part of the curve y
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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 WebOct 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 …
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, … 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.
WebHere 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 ... WebThe diagram shows part of the curve with equation y 2 = x − 2 and the lines x = 5 and y = 1. The shaded region enclosed by the curve and the lines is rotated through 360Å about the x-axis. Find the volume obtained (a) Prove the identity The gradient of a curve is given by
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. …
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 … green chili pork chops recipeWebThe diagram shows part of the curve y = 32x and part of the curve y = x. The shaded region is rotated through 360 about the x-axis. Find the exact value of the volume of revolution obtained. 0 y=x y = 32x. Chapter 10, Exercises 10.8 #13. green chili pork soupWebThe 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 ... green chili pork stew crock potWebJun 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 … flow mini winston-salem ncWeby 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= … green chili pork stew taste of homeWebThe 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 ... green chili pork stew recipe with potatoesWebThe 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 green chili powder for sale