Let f(x)= 3x^2-6x+1. Express this quadratic function in the
standard form . Find the vertex, the...
Let f(x)= 3x^2-6x+1. Express this quadratic function in the
standard form . Find the vertex, the minimum or maximum value of
function , x-intercepts, y-intercept, domain and range. Show your
table of values, and sketch the graph.
write the polynomial equation f(x) in factored form with leading
coefficient -2, and zeros -1(double root),...
write the polynomial equation f(x) in factored form with leading
coefficient -2, and zeros -1(double root), 1 (single root), and 3
(single root).
A) write f(x) in factored form
B) What is its degree?
C) what is its y-intercept
D) sketch the graph showing the zeros and y-intercept
You are given that the function f(x,y)=8x2+y2+2x2y+3 has first
partials fx(x,y)=16x+4xy and fy(x,y)=2y+2x2, and has second...
You are given that the function f(x,y)=8x2+y2+2x2y+3 has first
partials fx(x,y)=16x+4xy and fy(x,y)=2y+2x2, and has second
partials fxx(x,y)=16+4y, fxy(x,y)=4x and fyy(x,y)=2. Consider the
point (0,0). Which one of the following statements is true?
A. (0,0) is not a critical point of f(x,y).
B. f(x,y) has a saddle point at (0,0).
C. f(x,y) has a local maximum at (0,0).
D. f(x,y) has a local minimum at (0,0).
E. The second derivative test provides no information about the
behaviour of f(x,y) at...
Please solve all if possible
1. a) Find an equation of the tangent line to the...
Please solve all if possible
1. a) Find an equation of the tangent line to the graph of
y=x(x+1)^6 at the point where x=−2.
b) [2 points] State the coordinates of the x-intercept of the
line.
2. Find f(x) by solving the initial value
problem.
f′(x)=2−3x^ −2, f(3)=5.
3. Determine the intervals where the function f(x)=2x^2−1/4x^4
is increasing and decreasing, and also both coordinates of all
local extrema, if any. Label each extremum as a maximum or a
minimum.
True Value Fabricators produces circular iron cast
disks to be used as endplates. The cost of...
True Value Fabricators produces circular iron cast
disks to be used as endplates. The cost of the disks is a quadratic
function of the diameter. 1inch diameter cost $12.00, 2 inch cost
$18.00, 3 inch cost $28.00, 4 inch cost $42.00, 5 inch cost $60.00.
In this situation, what are the independent and dependent
variables? B.) Sketch a scatterplot of the data. Label the axes. C)
Enter the data into the graphing calculator. Use transformations of
y=x2 to determine a...