Friday

July 25, 2014

July 25, 2014

Posted by **Kerry-Ann** on Saturday, February 9, 2013 at 9:26am.

2. Find the range of values for c for which the line y=cx+6 does not meet the curve 2x^2-xy=3.

3. Find the range of values for k for which 8y=x+2k is a tangent to the curve 2y^2=x+k

- Pure Mathematics -
**bobpursley**, Saturday, February 9, 2013 at 9:53amThe slope of line cannot be that of curve or greater.

slope line=-3

slope curve>slope line

-3<-3/x^2

x^2>1

x>1

check x=10 slope line=-3

slope curve=-3/100=-.03

check x=1/2 slope curve=-12

do the others the same way

- Pure Mathematics -
**Kerry-Ann**, Saturday, February 9, 2013 at 10:02amnumber one is supposed to be -6<c<6

number two is supposed to be c>5

and number three is supposed to be k=8

- Pure Mathematics -
**Steve**, Saturday, February 9, 2013 at 2:38pmthe slope of xy=3 is y' = -3/x^2

So, the slope is -3 at x=1

The tangent to the curve at x=1 is

y-3 = -3(x-1)

y = -3x+6

y = 6-3x

so, for y = c-3x, if c < 6, the line falls below the curve. Similarly, for x<0, the line lies above the other branch of the curve if c > -6.

So, -6 < c < 6

Follow this logic for the other parts

**Related Questions**

math - With regards to question J: The variables x and y are connected by the ...

Math - Find the range of values for k for which the circle x^2+y^2=25 and the ...

maths - find the range of values for k for which the circle x^2+y^2=25 and the ...

maths inequalities... - Find the range of values of k for which the expression x...

Please check my maths answer? - This is the question: The straight line y=2p+1 ...

Alegbra - I've learned that the difference between domain and range is........

Math - What is range Range is the possible values a dependent variable may take ...

Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...

Math - The variables x and y are related by the equation y=ax/(x-b),where a and ...

Algebra - 23. The ___ axis represents the independent variable. X? 21. Name the ...