A curve passes through the point (4, 8) and satisfies the differential equation dy/dx = 1/ (2x + rootx) , Use a step-by-step method with a step length of 0.3 to estimate the value of y at x = 4.6 . Give your answer to four decimal places.

h dy/dx (4) = 0.03y(4.3) = 8+0.03 = 8.03y(4.6) = y(4.3) + 0.3 dy/dx(4.3) = 8.0581 to 4 d.p

KW
Answered by Keni W. Maths tutor

3825 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The polynomial f(x) is defined by f(x) = 18x^3 + 3x^2 + 28x + 12. Use the Factor Theorem to show that (3x+2) is a factor of f(x).


Find the solutions of the equation: sin(x - 15degrees) = 0.5 between 0<= x <= 180


If y = sec(z)tan(z)/sqrt(sec(z)) then find the indefinite integral of y with respect to z.


Find the stationary point of the graph of y = 2x + 5 + 27x^(-2)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning