Question

Graph x=sqrt(t) +4; y= sqrt(t) -4; t>=0

Answer #1

Solve y' + y =5 U (t-1); y(0)=4 sketch excelent graph for 0<=
t<= 6.

The
curve x = sqrt( (2y-y ^ 2) ) with 0 <= y <= 1/2 is rotated on
the y axis. Find the surface area of the solid obtained.

1.Solve the following initial value problem
a) dy/dx= y2/(x-3), with y(4)=2
b) (sqrt(x)) dy/dx = ey+sqrt(x), with y(0)= 0
2. Find an expression for nth term of the
sequence
a) {-1, 13/24, -20/120, 27/720, ...}
b) {4/10, 12/7, 36/4, 108, ...}

Solve y'' + 4y = delta(t-7) + delta(t-20); y(0)=y'(0)=1. sketch a
graph 0<=t<=25

let f(x) = sqrt x^4+4x+4.find the equation of the tangent line
to the graph of f −1(a) when a = 3

How do I graph f(x, y)=sqrt((x^2)+(y^2)) by hand? This
is a homework question from the first section of a new chapter that
introduces functions of several variables. Previous questions asked
to find the domain and range of similar functions.

solve for x(t) and y(t):
x'=-3x+2y;
y'=-3x+4y
x(0)=0,y(0)=2

Find the solution of each of the following initial-value
problems.
x'=y+f1(t), x(0)=0
y'=-x+f2(t), y(0)=0

Consider the following.
y'' + y = f(t); y(0) =
0, y'(0) = 4; f(t)
=
1,
0 ≤ t < 3π
0,
3π ≤ t < ∞

Find the point on the curve y = sqrt(x) is closest to the point (3,
0) , and find the value of this minimum distance.
Use the Second Derivative Test to show that this value is a
minimum. Show work

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