Determine which of the differentials (or both) is the total differential: a) 2[cos(2x +2y²) + x ] dx − [4y sin(2x + 2y²) + 1] dy; b) 6 sin(y) e²x+dx + 3(siny+cosy)e²x+y-2 y sin(²) dy.

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

A:

Q: sin (2t + 1) - dt cos? (2t + 1) 31.

A: Use trigonometric substitution method for solving the integral.

Q: 7. Find the rectangular equation if r = 4 cos 0 + 4 sin 0 (a) (c) x² + y² = 4 x² + y² = 4(x + y) (b)…

A:

Q: linear or not linear? 1) dy 1ax +exy = x²4² dx 2) y + e* sinx= x³y² 31 y\nx - x²y = xy! 4) dy + cosy…

A:

Q: sinx+5* dy for y=In dx e3Xtan(x³) O a. Some other answer cosx+5*In5 3x²sec²(x³) - 3 tan(x³) b. dy dx…

A: We have given y=ln(sinx+5xe3xtan(x3)). Let us simplify right hand side using logarithmic…

Q: 1: Find dy if y³-4y² = x³ + 3x². dx 2: Find DPP 7 DERIVATIVE dy dx if sin y² - cos x² = cos y² + sin…

A:

Q: 故(x3+5) ex A al d Iny d in5x

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: In implicit differentation problems it seems we treat x and y differently. For example, when we…

A: Recall: Chain Rule of differentiation :    If F(x)=f(g(x)) then ,   F'(x) = df(g(x))dx =…