Monday

July 28, 2014

July 28, 2014

Posted by **Anonymous** on Thursday, February 28, 2013 at 9:19pm.

- calculus -
**Reiny**, Thursday, February 28, 2013 at 10:36pmdy/dx = (1/2) (2x+1)^(-1/2) (2)

= 1/(2x+1)^(1/2) or 1/√(2x+1)

slope of line is -3

so slope of perpendicular is 1/3

so we have ...

1/√(2x+1) = 1/3

√(2x+1) = 3

square both sides ...

2x + 1 = 9

2x = 8

x = 4

f(4) = (9)^1/2) = 3

so the point of contact is (4,3)

and the equation of the tangent is

y-3 = (1/3)(x-4)

3y - 9 = x-4

x - 3y = -5 OR y = (1/3)x + 5/3

**Related Questions**

Math - point on the graph (check +help) - Determine the coordinates of the point...

Math - point on the graph - Determine the coordinates of the point on the graph ...

Math--Calculus - Let y = f(x) be the continuous function that satisfies the ...

Calculus - Given the function defined as f(x)=x^3-(3/2)x^2-6x+10 a) Explain why ...

Calculus - Given the function defined as f(x)=x^3-(3/2)x^2-6x+10 a) Explain why ...

Calculus - Given that y=x^(5/2)- x^(-1/2) . a) Find the coordinates where the ...

Calculus - Find the slope m of the tangent line to the graph of the function at ...

Calculus - Find the slope m of the tangent line to the graph of the function at ...

Calculus PLEASE HELP - Find the slope m of the tangent line to the graph of the ...

Calculus - Find the slope m of the tangent line to the graph of the function at ...