Comments

• First gather all x's to one side of equation, and the rest on the other side: 2x² - 12y - 16x + 20 = 0 2x² - 16x = 12y - 20 Factor out coefficient of x (on both sides), then simplify 2 (x² - 8x) = 2 (6y - 10) x² - 8x = 6y - 10 Complete t…

  in Help with parabola conics problem!? Comment by mathmom June 2021
• (1 + cos(2x)) / sin(2x) = (1 + 2cos²(x) - 1) / (2 sin(x) cos(x)) = 2 cos²(x) / (2 sin(x) cos(x)) = cos(x) / sin(x) = cot(x)

  in how do i verify (1+cos2x)/sin2x=cotx ? Comment by mathmom June 2021
• 　 m⁻¹(x) is the inverse of m(x) So take the table for m(x) and switch the 2 rows, and label them x and m⁻¹(x) i.e. the row that was m(x) is now at top and labeled x and the row that was x is now at bottom and labeled m⁻¹(x) x　　　　　　0…

  in Calculus problem, part c only? Comment by mathmom June 2021
• 　 Good luck with that, because we cannot integrate this using regular functions. You'll need to make use of the Fresnel C integral and the incomplete gamma function: http://www.wolframalpha.com/input/?i=integral+cos(...

  in How do you integrate cos(x^2)+cos(x^3)+x^3 wrt x? Comment by mathmom May 2021
• 　 Good luck with that, because we cannot integrate this using regular functions. You'll need to make use of the Fresnel C integral and the incomplete gamma function: http://www.wolframalpha.com/input/?i=integral+cos(...

  in How do you integrate cos(x^2)+cos(x^3)+x^3 wrt x? Comment by mathmom May 2021
• First you have your x-intercepts and y-intercepts mixed up: Lane 1: y-intercept (0, 10) x-intercepts (√500, 0) and (-√500, 0) Lane 2: y-intercept (0, √150) x-intercepts (√750, 0) and (-√750, 0) Second, your integrals are a little off (100-0.2(…

  in calc, arc length problem? Comment by mathmom May 2021
• First you have your x-intercepts and y-intercepts mixed up: Lane 1: y-intercept (0, 10) x-intercepts (√500, 0) and (-√500, 0) Lane 2: y-intercept (0, √150) x-intercepts (√750, 0) and (-√750, 0) Second, your integrals are a little off (100-0.2(…

  in calc, arc length problem? Comment by mathmom May 2021
• 　 g(x) = 0 makes no sense in context of p(x) = g(x) q(x) + r(x) Besides, g(x) = 0 contradicts the statement that "f(x) and g(x) are ANY two polynomials" —————————————————————————————— I think the statement should be: If p(x) …

  in Maths problem..? Comment by mathmom May 2021
• 　 g(x) = 0 makes no sense in context of p(x) = g(x) q(x) + r(x) Besides, g(x) = 0 contradicts the statement that "f(x) and g(x) are ANY two polynomials" —————————————————————————————— I think the statement should be: If p(x) …

  in Maths problem..? Comment by mathmom May 2021
• 　 g(x) = 0 makes no sense in context of p(x) = g(x) q(x) + r(x) Besides, g(x) = 0 contradicts the statement that "f(x) and g(x) are ANY two polynomials" —————————————————————————————— I think the statement should be: If p(x) …

  in Maths problem..? Comment by mathmom May 2021
• First you have your x-intercepts and y-intercepts mixed up: Lane 1: y-intercept (0, 10) x-intercepts (√500, 0) and (-√500, 0) Lane 2: y-intercept (0, √150) x-intercepts (√750, 0) and (-√750, 0) Second, your integrals are a little off (100-0.2(…

  in calc, arc length problem? Comment by mathmom May 2021
• First you have your x-intercepts and y-intercepts mixed up: Lane 1: y-intercept (0, 10) x-intercepts (√500, 0) and (-√500, 0) Lane 2: y-intercept (0, √150) x-intercepts (√750, 0) and (-√750, 0) Second, your integrals are a little off (100-0.2(…

  in calc, arc length problem? Comment by mathmom May 2021
• 　 Good luck with that, because we cannot integrate this using regular functions. You'll need to make use of the Fresnel C integral and the incomplete gamma function: http://www.wolframalpha.com/input/?i=integral+cos(...

  in How do you integrate cos(x^2)+cos(x^3)+x^3 wrt x? Comment by mathmom May 2021
• (1 + cos(2x)) / sin(2x) = (1 + 2cos²(x) - 1) / (2 sin(x) cos(x)) = 2 cos²(x) / (2 sin(x) cos(x)) = cos(x) / sin(x) = cot(x)

  in how do i verify (1+cos2x)/sin2x=cotx ? Comment by mathmom May 2021