The slope of line cannot be that of curve or greater.
slope curve>slope line
check x=10 slope line=-3
check x=1/2 slope curve=-12
do the others the same way
number 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
the 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
Answer this Question
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 ...
Please check my maths answer? - This is the question: The straight line y=2p+1 ...
Math - The variables x and y are related by the equation y=ax/(x-b),where a and ...
maths inequalities... - Find the range of values of k for which the expression x...
calculus - a. find an equation for the secant line through the points where x ...
math - 1. What is the range on the number line for all values of x^3 if x < -...
math - for what values of k in y=3x+k with the curve y=-x^2-3x+6 intersect the ...
algebra - above the x axis a dot on the -2 line up to 2.5, and another dot on -3...