stw j X = Sin (stw,y< %3D z= Stttw, find f

Q: Cary)= x°Cscx +secy J sinx Cot y

A: Given function is fx, y =x3 cscx +secy sinx coty

Q: Find the area of y = sin x, y = sin3 x

A:

Q: sech Vt tanh V dt Vi

A: Given : Intergral sech √t tanh √t dt / √t

Q: Find div F and curl F if F(x, y, z) = 2eyi- 7 cos y j + 4 sin² z k. div F= curl F=

A:

Q: 57. Use Eq. (5) to find sin x dx.

A:

Q: Let y = cot (csc2x/x3+5). Find

A:

Q: Use implicit differentiation to find du/dv if vu+ Vu = 5. 4 Answer: -V 4

A: u+v=5

Q: Ex: Siny dydx

A:

Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

A:

Q: Find of xy = x + cot y dx

A: This Question need implicit differentiation

Q: H.W. using the relation r = Vn show that J(x) = COS X %3D

A:

Q: Approximate sinx dx using four trapezoids of equal width. On the interval (0, pi)

A: Trapezoidal rule

Q: Sº ете y

A:

Q: Consider the following: 25x squared +64y squared =1600 C) differentiate the explicit functions…

A:

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A: w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: Sinx lim Ş Vtgt dt 2+0 tgx S Vsint dt

A:

Q: Sx 5x * rysin(z* + g*)dzdy Find 0.

A: Given:

Q: Given sin r + cos y = sin x cos y, dy Find dr cos y (cos z -1) sin z (sin y 1) coS z (cos I | 1) sin…

A:

Q: dy Find when 7x tan³(v7x). 5(V7x). dx

A:

Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

A:

Q: y = sinx, x = 0, y = 1; about y = 1.

A:

Q: Differentiate y = (ln r)tan 2x

A: We have to differentiate; y=lnxtan(2x)  taking natural logarithm both of sides;…

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.