2. a. Solve Iw Iw +4- =0, with w(0, t) = sin(3t). It მე b. Use the method of characteristics to solve მu Iw +x = 1, with w(x, 0) = f(x). Ət მე

- (1+х)у-ху? +x)y=xy² .2 1.) х dx

If f(x) = 4x² - 5x + 5, find f'( − 3). Use this to find the equation of the tangent line to the parabola y = 4x² - 5x + 5 at the point (-3, 56). The equation of this tangent line can be written in the form y = mx + b where m is: and where b is:

Solve (cosxcosy-cotx)dx-sinxsin?ydy=0. sinxcosy=In(ccosx) O sinxcosy=-In(ccosx) sinxcosy=In(csinx) sinxcosy=-In(csinx)

If ƒ(x) = 2x² − 4x + 6, find ƒ'(−2). -12x - 2 incomplete. Use this to find the equation of the tangent line to the parabola y = 2x² - 4x + 6 at the point (−2, 22). The equation of this tangent line can be written in the form y = mx + b where m is: -12x - 2 and where b is: -2 x syntax incomplete. X syntax Question Help: Video Message instructor

Engr. Garcia is going on a trip to La Union. He drives using his car having an equation of s(t)-3.6t^3-4t^2+ 60t -7. Find the instantaneous acceleration at t-2.4 secs.* O43.84 m/s*2 O43 85 m/s 2 43.83 m/s*2 43.90 m/s*2

(2х+3) 8. S dx w/ (х2 +х+2)2

Let = ary- + ba-y", with a and b constant. Pis a point given by (-1,-1) and it is known that = 28. (P)= 26 determine the value of a and b

A cubic function y = x³ + bx² + cx + d has an inflection point with x-coordinate equal to -3 and tangent line at the inflection point with equation y = 15 - 3x. Find the values for b, c and d. b = C = d =

For the equation y=x^3−7x at the point (3,6), find the following:   1. Find the equation of the tangent line. Put your answer here in y=mx+b form.