Question

a. Determine the points where the curve $ 5 x+3 y^{2}-y=1 $ has a vertical tangent line. b. Does the curve have any horizontal tangent lines? a. The curve has a vertical tangent line at the point(s) $ \left(\frac{13}{60}, \frac{1}{6}\right) $. (Type an ordered pair. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) b. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. A. There are horizontal tangent lines at the point(s) $ \square $ . (Type an ordered pair. Use a comma to separate answers as needed.) B. The curve has no horizontal tangent lines because the derivative is never undefined. C. The curve has no horizontal tangent lines because the derivative is never zero.

          a. Determine the points where the curve \( 5 x+3 y^{2}-y=1 \) has a vertical tangent line.
b. Does the curve have any horizontal tangent lines?
a. The curve has a vertical tangent line at the point(s) \( \left(\frac{13}{60}, \frac{1}{6}\right) \).
(Type an ordered pair. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.)
b. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.
A. There are horizontal tangent lines at the point(s) \( \square \) .
(Type an ordered pair. Use a comma to separate answers as needed.)
B. The curve has no horizontal tangent lines because the derivative is never undefined.
C. The curve has no horizontal tangent lines because the derivative is never zero.

$a. Determine the points where the curve 5 x+3 y^2-y=1 has a vertical tangent line. b. Does the curve have any horizontal tangent lines? a. The curve has a vertical tangent line at the point(s) ((13)/(60), (1)/(6)). (Type an ordered pair. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) b. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. A. There are horizontal tangent lines at the point(s) □ . (Type an ordered pair. Use a comma to separate answers as needed.) B. The curve has no horizontal tangent lines because the derivative is never undefined. C. The curve has no horizontal tangent lines because the derivative is never zero.$

Added by Erin L.

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