anonymous
  • anonymous
Calculus 1 Is my shown work correct? Find an equation of the line that is tangent to the graph of f and parallel to the given line. I'll post the equations and my work so far done in the comments
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Find an equation of the line that is tangent to the graph of f and parallel to the given line. \[f(x) =x^{3}+2 \] and \[3x - y + 1 = 0\] This is my solution. Is it correct? \[f^{'}= 3x^2\] given line y =3x + 1 m=3 To find where the 2 slopes are equal set f’ prime = m \[3x^{2}= 3\] both sides divided by 3 \[x^{2}=1\] square root of both sides \[x^{2}=\pm1\] Since 1 is a value for x and y = f(x) To determine y, 1 can be plugged into f(x) = \[(1)^{3}+2 = 5\] So we have the coordinates (1,5) as well as m = 3. I used \[y_{2}-y _{1}= m(x _{2}-x _{1})\] y - 5 = 3(x -1) y - 5 = 3x -3 y = 3x +4
jim_thompson5910
  • jim_thompson5910
y = 3x+4 is one of the solutions there is another tangent line
jim_thompson5910
  • jim_thompson5910
your work looks good so far though

Looking for something else?

Not the answer you are looking for? Search for more explanations.