Given gx= 3x-6x+1
find g-1(x)
2.
The intensity of light varies inversely as the square of...
Given gx=3x-6x+1findg-1(x)
2.
The intensity of light varies inversely as the square of the
distance from its source. How much farther from the light must an
object be moved to receive one-fourth the amount of light it now
receives if it is now 2 ft. from the light?
Solutions
Expert Solution
.
So we have,
.
.
.
.
.
So the object must be moved 2 ft. further to
receive one-fourth the amount of light it now receives.
For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve
Find all x values for which the function y = x^3 + 6x^2 + 3x + 7
has a horizontal tangent line. Find the derivative of f(x) using
the definition for a limit.
T(1+2x)=1+x-x^2
T(1-x^2)=2-x
T(1-2x+x^2)=3x-2x^2
a)compute T(-6x+3x^2)
b) find basis for N(T), null space of T
c) compute rank of T and find basis of R(T)
1) Find the exact absolute max and exact min for
f(x)=x^3-3x^2-6x+4 on the closed interval [0,3]
2) Let f be continuously differentiable function on the Reals
with the following characteristics:
- f(x) is increasing from intervals (0,2) and (4,5) and
decreasing everywhere else
- f(x) > -1 on the interval (1,3) and f(x) < -1 everywhere
else
Suppose g(x) = 2f(x) + (f(x))^2. On which interval(s) is g(x)
increasing?