Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The equation of a curve is y=f(x). the curve goes through the points (1,3) and (3,7). f'(x) = 4x+p, where p is a number.
a) find the value of p
b) find the equation of the curve
Please help asap!

Sagot :

konrad509
[tex]f'(x)=4x+p\\ f(x)=2x^2+px+C\\\\ 3=2\cdot1^2+p\cdot1+C\\ 7=2\cdot3^2+p\cdot3+C\\\\ 3=2+p+C\\ 7=18+3p+C\\\\ C=1-p\\ 3p=-11-C\\\\ 3p=-11-(1-p)\\ 3p=-11-1+p\\ 2p=-12\\ p=-6\\\\ C=1-(-6)\\ C=7\\\\ y=2x^2-6x+7 [/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.