(1 point) The curve above is the graph of a degree 4 polynomial. It goes through...
Find the polynomial of degree 4 whose graph goes through the points (-3,-194), (-2,-36), (0, 10), (2, 16), and (3, -56) f(x) +10
The curve above is the graph of a sinusoidal function. It goes through the points (- 4, 4) and (2, - 4). Find a sinusoidal function that matches the given graph. If needed, you can enter π = 3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits. f(x) = _______
The polynomial of degree 4
The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = – 2. It goes through the point (5, 7). Find a formula for P(x). P(x) =
(1 point) Find the degree 3 Taylor polynomial T3(x) centered at a = 4 of the function f(x) = (-5x + 24)312]. T3(x) = ? ✓ The function f(x) = (-5x + 24)32) equals its third degree Taylor polynomial T3 (x)/centered at a = 4l. Hint: Graph both of them. If it looks like they are equal, then do the algebra.
MATH 220 Project 1 Polynomial Curve Fitting It desired to fit a polynomial curve through evenly spaced (x-direction) points. The general form of a polynomial is: f(x) = 4,x" +47-1X2-1 + + ax + ao If one wishes to fit a curve through, say 4 points, one would need a 3rd degree polynomial (n = 3) such that 4 unknown constants could be evaluated. In the absence of availability of many wathematical programming tools (Matlab, etc., Mathematica is available as...
1,2,3, and 4
Here are some practice exercises for you. 1. Given f(x) e2, find the a. Maclaurin polynomial of degree 5 b. Taylor polynomial of degree 4 centered at 1 c. the Maclaurin series of f and the interval of convergence d. the Taylor series generated by f at x1 2. Find the Taylor series of g(x) at x1. 3. Given x -t2, y t 1, -2 t1, a. sketch the curve. Indicate where t 0 and the orientation...
9-11
9. Find the polynomial of degree 4 whose graph is shown. (It is not necessary to multiply out - You can leave your answer in factored form) 10. Find all real and complex zeros of the function f(x) = 3x* +5x' +25x +45x-18. 11. Find a polynomial of degree 4 that has zeros of 1, 2, and 1+i.
(1 point) Find a possible formula for a polynomialſ that has degree 2 or less, f(-1) = f(4) = 0 and (2)= -6. f(x)= help (formulas) (1 point) A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the root section) is 14000 ft and the cylindrical part is 25 ft tall, what is the radius of the silo? Note: The following formulas may be useful...
(3 points) Find a formula for the polynomial of least degree through the points shown in the graph. f(x) = help (formulas) - - -2
w the graph of a sixth taph of a sixth degree polynomial below, as the following a. Is the leading coefficient positive or negative? b. State the end behavior of the function: as + 0, y → ? and as 1 -0, y →? c. State each zero (-intercept) in point form with its multiplicity. Note the overall degree of the polynomial is stated above. d. State the y-intercept in point form. e. Find a possible formula for the graph...