3. Consider the equation 2 - x² = sin(x). (a) Use a graphing device to draw a sketch of a graph to show that this equation has a solution in the interval [0, T/2]. (b) Now use Newton's method with an initial guess of x1 = 1 to find x2 and x3.

Q: Find the equation of the tangent line to the curve y = 2 sin æ at the point (, 1). The equation of…

A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

Q: Calculate the slope of the curve f(t) = 11 sin? (t) at the point where t = 3 radians. Slope : Round…

A:

Q: A military radar identified an unknown object flying above Andaman Sea. The Radar Intercept Officer…

A: Differentiate the distance function, s(t) with respect to t to calculate the velocity function,…

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

A:

Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

A:

Q: 1. Use Newton's method to find all roots of the equation x = 2+ In(x) correct to five decimal…

A: The Newton's Method formula is given by, xn+1 = xn - [f(xn)/f'(xn)]

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.