Question

Solve the equation and please show your work

3(x+1)+2(x+4)=5x+6

Answer #1

Find derivatives (Please show work!)
1. f(x)=ln(5x^3)
2. f(x)=(ln^3)x
3. f(x)=e^(5x2+2)
4. f(x)=xe^2x
5. f(x)=xlnx

Lef f(x) = -(x+4)(x-1)^3(x-3)^2 = -x^6 + 5x^5 + 6x^4 - 74x^3 +
151x^2 - 123x + 36
1.)Determine the end behavior
2.) Find the real zeros of f(x) & state the multiplicity of
each zero. Determine the manner in which the graph of f(x) crosses
or touches the x-axis at each zero.
3.) Find the x-intercepts and the y-intercept
4.) Draw the graph of f(x)
Please show work for answers- thanks :)

Show work please
1. Find the slant asymptote f(x)=(x^2-4)/(x-1)
2. Consider the rational function f(x)=(x^2-1)/(x^2+x-6)
a. The equations of the vertical asymptotes
b. The equation of the horizontal asymptote
c. The derivative of the function
d. Critical point(s)
e. Extrema, justify your answers

Solve the differential equation (5x^4 y^2+ 2xe^y - 2x cos (x^2)) dx
+ (2x^5y + x^2 e^y) dy = 0.

The fourth degree polynomial x^4-5x^3+5x^2+5x-6 has four
different zeros. If two of the zeros are 1 and 2, what are the
other two zeros?

Solve the differential equation x''(t)+5x'(t)+4x(t)=2

Consider the differential equation x′=[2 −2 4 −2], with x(0)=[1
1] Solve the differential equation wherex=[x(t)y(t)]
please write as neat as possible better if typed and explain
clearly with step by step work

1. solve the following (a) Solve −x 2 +2x = 1, by factorization.
(b) Solve 5x 2 −4x −2 = 0, by completing the square. (c) Solve 5x 2
+ x −1 = 0, by quadratic formula

1) Solve the given differential equation by finding, as in
Example 4 of Section 2.4, an appropriate integrating factor.
(14 − 20y +
e−5x)
dx − 4 dy = 0
2) Solve the given initial-value problem.
x dy/ dx + y = 2x + 1, y(1) = 9
y(x) =
Give the largest interval I over which the solution is
defined. (Enter your answer using interval notation.)
I =
please show steps

1.) Find the equation of the tangent line to the graph of the
function f(x)=5x-4/2x+2 at the point where x=2
2.) Find the derivative: r(t)=(ln(t^3+1))^2

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