Wednesday

November 26, 2014

November 26, 2014

Posted by **Judy** on Tuesday, September 25, 2007 at 3:04pm.

If Q is the point (x,x^1/2) use your calculator to find the slope of the secant line PQ for the following values of X:

1)3.5

2)3.9

3)3.99

4)3.999

5)4.5

6)4.1

7)4.01

8)4.001

i plugged these points into the intial equation and got that it was approaching 2. and i made it the slope of secant. however, my friend got a different answer; she found the slope using delta y over delta x. who is right and why?

thanks for any help!

- Calculus -
**drwls**, Tuesday, September 25, 2007 at 6:05pm4) If the coordinates of Q are

x = 3.999, y = 1.99975

then the slope of the "secant" line between Q and P (4,2) is

(.00025)/.001 = 0.2500 = 1/4

The exact value of the slope of the tangent to the y(x) curve at P is dy/dx = (1/2)/sqrt x = 1/4

For points Q farther from P, you will get a slightly different answer

**Answer this Question**

**Related Questions**

calc so confused - Point (5,3) lies on curve y=sqrt(x+4). If Q is the point (x,...

Math - The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q ...

calculus - The point P(4, −2)lies on the curve y = 2/(3 − x). (a) If...

calc - The point P(4, −2)lies on the curve y = 2/(3 − x). (a) If Q ...

Math - 1. The slope of the tangent line to a function at a point is equivalent ...

12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...

calculus - 1. Given the curve a. Find an expression for the slope of the curve ...

Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...

calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...

calculus - Consider line segments which are tangent to a point on the right half...