The derivative gives us the slope at 3 to be: -2x ------------ at x=3: -3/4
2sqrt(25-x^2)
</span><span>so we have a vector that is parallel to the slope of the tangent line is: <4,-3> </span> <span>the mag = 5 so; unit tangent = <4/5 , -3/5> </span> <span>since perpendicular lines have a -1 product between slopes we get the normal to be...
<3/5,4/5> </span> <span>It is <4,-3> because it is rise over run. Rise is y component of vector and run is x component of vector.</span>
<em>problems finished by ameetha = 12 problems</em>
<em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36</em>
<em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =</em>
<em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24 </em>
<em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24 so David finished 24 problems more than ameetha</em>
is the standard deviation
is the desired margin of error.