a) Evaluate the limit lim x→0 tan(2x) / x
b) Differentiate y = x^tan(x)
c) Find the equation of the tangent line to 4x^2 + 2xy−y^2 = 4
at the point (1, 2).
d) Differentiate f(x) = arctan(x^2 + 1)
e) Differentiate f(x) = ln(cosh x)
Thank you!
Question 5
Find all solutions of this system.
4x + 2y + 3z = 0 3x y + 2z = 0 x + 2y − z = 0
Compare the value of the determinant of the coefficient matrix
to zero using the nature of the solution.
Find 8 decimal place approximation for all three solutions of
the function
x^3-4x+1
Use -2, 0, and 2 as first guesses, organizing data values in
side-by-side columns.