Question

Find d^2y/dx^2 . x = t^3 − 7, y = t − t^2

d^2y/dx^2=?

Answer #1

Find the derivatives dy/dx and d^2y/dx^2, and evaluate them at t
= 2.
x=t^2 ,y = t ln t

find dx/dx and dz/dy
z^3 y^4 - x^2 cos(2y-4z)=4z

Given parametric equations below, find d^2y/dx^2 and determine
the intervals on which the graph of the curve is concave up or
concave down.
(a) x = t^2 , y = t^3−3t
(b) x = cos(t), y = sin(2t)

1.
Find y".
y = ( √x - 7) -3
2.At time t ≥ 0, the velocity of a body moving along
the s-axis is v= t^2-7t+6 .When is the body moving backward?
3. Use implicit differentiation to find dy/dx x+y/x-y =x^2
+y^2

Decide whether or not the following equations are linear:
(a) d^2/dx^2y(x) = -8(y(x))^2 is a
- linear equation
- non-linear equation
(b) d/dx(yx) + sin(4y) = 0 is a
- linear equation
- non-linear equation
(c) sin(8x)*d/dxy(x) + y(x) = 7x is a
- linear equation
- non-linear equation
(d) d/dtx(t) +3x = -8t^3 is a
- linear equation
- non-linear equation
(e) sin(5y(x))d/dxy(x) + y(x) = 9x is a
- linear equation
- non-linear equation

Find the general solution of (d^4y)/dx^4-
2(d^3y/dx^3)-2(d^2y/dx^2)+8y=0

Find the solution of the following differential
equation:
(?^3 y/dx^3)-7(d^2 y/dx^2)+10(dy/dx)=e^2x sinx

Find a Liapunov function for this gradient system. x'(t) = xy^2,
y'(t) = x^2y + y^3.

Solve the initial value problem.
d^2y/dx^2= -3 csc^2 x; y' (pi/4)=0; y(pi/2)=0
The solution is y=____.

Evaluate ∫_0,3^2,4▒〖(2y+x^2 )dx+(3x-y)dy along〗 The parabola
x=2t, y=t^2 +3 Straight lines from (0,3) to (2,3) A straight line
from (0,3) to (2,4)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 5 minutes ago

asked 5 minutes ago

asked 11 minutes ago

asked 22 minutes ago

asked 22 minutes ago

asked 26 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago