C2 Integration questions!

Ex 11D:

7) The curve C has equation y=x^(2/3)-2/(x^(1/3))+1
the last part:
d) find the area of R

9)a: when it says verify, that the curve and line cross at point A(4,2) does it mean, put 4 in the equation and see if it give y=2 or do you have to make curve's equation and line's equation equal to each other and find A.

10) A sketch shows part of the curve with eqtion y=x^2(x+4). The finite region R1, is bounded by the curve and negative x-axis. The finite region R2 is bounded by the curve, the positive x-axis and Ab, where a = (2,24) and b= (b,0).

find the value of b

thanks.

Reply 1

yusufu

16

Mohit_C

Ex 11D:

7) The curve C has equation y=x^(2/3)-2/(x^(1/3))+1
the last part:
d) find the area of R

9)a: when it says verify, that the curve and line cross at point A(4,2) does it mean, put 4 in the equation and see if it give y=2 or do you have to make curve's equation and line's equation equal to each other and find A.

10) A sketch shows part of the curve with eqtion y=x^2(x+4). The finite region R1, is bounded by the curve and negative x-axis. The finite region R2 is bounded by the curve, the positive x-axis and Ab, where a = (2,24) and b= (b,0).

find the value of b

thanks.

what is R in question 7?

Reply 2

Mohit_C

OP

10

Sorry, 4got to tell, you have to first verify tht C crosses the x-axis at point (1,0), then you have to show tht a lies on c and has coord. (8,4) and b is (4,0) . you then have to find the line ab and the R is the region bounded by C, AB and the +ve x-axis.

Reply 3

meef cheese

10

Mohit_C

Ex 11D:

7) The curve C has equation y=x^(2/3)-2/(x^(1/3))+1
the last part:
d) find the area of R

Is R the area between the curve and x-axis?

9)a: when it says verify, that the curve and line cross at point A(4,2) does it mean, put 4 in the equation and see if it give y=2 or do you have to make curve's equation and line's equation equal to each other and find A.

The bit in bold.

OP

yes

Mohit_C

9)a: when it says verify, that the curve and line cross at point A(4,2) does it mean, put 4 in the equation and see if it give y=2 or do you have to make curve's equation and line's equation equal to each other and find A.