Positive Slope
<em>TIP for finding what slope it is:</em>
<em>Positive </em>- the line is pointing right
<em>Negative</em> - the line is pointing left
<em>Undefined </em>- the line is pointing up and down
<em>Zero</em> - the line is point from left to right
Answer:
or approximately (0.544, 4.179)
Step-by-step explanation:
A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):
Set equal to 8/7 and solve for x:
Therefore, will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into to get the y-coordinate:
⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)
Answer:
<u>254.34 in²</u>
Step-by-step explanation:
<u>Area of a circle</u>
- <u>r = radius of the circle</u>
<u>Solving</u>
- A = 3.14 x (9)²
- A = 3.14 x 81
- A = <u>254.34 in²</u>
Answer: the graph farthest to the right is almost correct. If you substitute values for x in the function f(x)= -3√x , the output does not match the curve on the graphs shown.
If you have a choice that includes only a curve to the right of the y- axis, that would be better.
Step-by-step explanation: Square roots of Negative x-values will result in imaginary numbers. Otherwise the graph with the curve passing through coordinates (1,-3) (4,-6) and (9,-9) is a good choice.
(And ask your teacher about the square root of negative numbers on this graph.)