f(2) — и(х, у) + jo(x, y) и(х, у) — е% сos x — х f (0) = 1

2. t-1 dt

| = tan(x+2램+ 3은) T %3D Find: Txx Tx Txy Ty Tyy Tyx Tz Tzz Tzx Tzy

A tank initially has 100 gallons of brine containing 5 Ibs of salt. The mixture is kept well-mixed. A solution with 3 Ibs salt/gal is allowed to flow into the tank at a rate of 2 gal/min, and the mixture flows out of the tank at a rate of 2 gal/min. Sketch a picture and define your variables. Set up the DE that fits this situation, and simplify your DE. Be sure to use proper notation. You do NOT have to solve the DE. What type of DE is this? (Integrate, separable, linear, linear inside, homogeneous, Bernoulli, or exact?) What is the initial condition that would help you find the IVP solution?

Determine the equation of the inverse of y=e*x+³ - 4 y = (+4) O y = -lnx-3 4 O y =lnx+1 Oy=In( x +4 )-3

Find f(x).

For the function f(x,y) - (x² + y?) tan(ln(xy)) + e(x-y) which of the following is the value of 2f,(1,1) + f,(1,1) ? (a) 3 (b) 4 (c) 5 (d)6 (e) 7

find the homogenous linear equation of the function y = x2 sinx+ e5x

If f (x) = (2x + 1) (4x + 1), then: a. f (-2) 21 ४ b. f'(-2) =-26 ४ c. f" (-2) 16 d. The values of x for which f(x) = 0 are e. The values of x for which f'(x) = 0 are

Find the first and second derivative of the ff: