Will fan and give medal!
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Not so sure on my answers.

Question

Will fan and give medal!
Attachment in comments
Not so sure on my answers.

anonymous · Answer

attachment

mathmale · Answer

Your response to #1 is fine.  But I'd be much more interested in seeing the work you did that led to your three answers.

anonymous · Answer

b,c,d

mathmale · Answer

CF:  Here's what I'm looking for in terms of your own work:  

In Problem #1, we first need to find the slope of the tangent line to the circle x^2 + y^2 = 29 at the point (2,5).  Recall that the derivative produces a formula for the slope of the tangent line.  Using implicit differentiation, find dy/dx of x^2 + y^ 2 = 29.  It is dy/dx = -x/y.  Let me know if you need more discussion of this process.

Then at the point (2,5), the slope of the tangent line is -x/y, or -2/5.  

Notice that all of the four choices of answers have this same slope.

Last, substitute this slope and the coordinates of the given point (2,5) into the point-slop equation of a straight line:

$$y-y _{0}=m _{TL}(x-x _{0}).$$

y-5+(-2/5) (x-2).



Your slope, m, is -2/5.  The point in question is (2,5).  Which of the four answer options is the correct one?

Does this discussion help?  If it's not entirely clear, please ask specific questions.