Use the differential dz to approximate the change in the function z (shown in the image) as (x, y) moves from point (1, 1) to point (1.03, 0.95). a) dz = b) Δz =

Q: et Evaluate the derivative: da 4 S (3t2 – 2t + 4) dæ.

A:

Q: Find the function with deriative f' Ga) = e5x tht through passes %3D the point P=(o,4/5)

A:

Q: Find the gradient of y = e" at the point (1, e).

A:

Q: Find the gradient function (dy/dx) of y=e-2x tanx. Show all calculations.

A:

Q: Find the equation for the curve f (x) at the point (x, y) meet the following conditions dy / dx = 4x…

A: A curve is a function with equation of the form y=f(x). A differential equation is an equation in…

Q: Find by implicit differentiation for x2+y2=25 at point P(0,5).

A:

Q: (u(t)xv(t)) = 00)

A: Given that the expression

Q: 15. f(t) = e" sin bt

A: Given function f(t) = eat sin(bt)

Q: Find the direction in which the function g(x, y) = cos(xy) decreases fastest at the point (1, pi)

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

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.