2. The graph of f(x) = x3 + x - 1 is given below
.
Now we know that the inverse of a function switches the x and y coordinates of an ordered pair from the original function.
So y-values of the inverse function will be treated as x-values of the given function.
So we have,
y = 0 implies (x, y) = (-1, 0)
y = 1 implies (x, y) = (1, 1)
y = 2 implies (x, y) = (9, 2)
.
.
.
.
3. The graph of f(x) = x4 + 9x + 4 is given below
.
Now we know that the inverse of a function switches the x and y coordinates of an ordered pair from the original function.
So y-values of the inverse function will be treated as x-values of the given function.
So we have,
y = -1 implies, (x, y) = (-9, -1)
y = 0 implies, (x, y) = (-1, 0)
y = 1 implies, (x, y) = (9, 1)
having a bit of trouble with both of these questions, thank you Use a calculator to...
just make circle questions which 2,(b) and 3,(i) thank
you
2. (Polar Coordinates: Polar Plots). (a) Consider the curve given in polar coordinates (i) Use a scientific calculator to fill in the following table with the (approximations of) values of the function r(0) on π, π r(e) (the approximations of the values r(e) must be good to at least two decimal places). (i) Use the graph paper for the polar coordinate system (attached to the assignment sheet) to plot the...
A GRAPHING CALCULATOR IS REQUIRED FOR THIS QUESTION. You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in...
answer both please
A graphing calculator is recommended. Use a graphing calculator to graph the solution of the system of inequalities. Find the coordinates of all vertices, rounded to one decimal place. yax 2x + y 20 Y S 2x + 9 (smallest x-value) (x, y) - (x, y) - ( (x, y) =( (largest x-value) J. - Points A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000...
im having trouble understanding limits
(1) Use the given graph of the function f(x) to answer the following questions. 3 2 0 0 -1 -2 Find the limit of f(x) as x -+0+ for ” does not exist” enter ” DNE” 79 79 99 for enter negative in finity” for ” +00” enter " positive in finity" (1) Use the given graph of the function f(x) to answer the following questions. 3 2 0 0 1 2 3 4 -27...
Need help with 19-21 ASAP! Thank you please
19. (-/1 Points) DETAILS SULLIVAN CALC2 3.3.043. Use implicit differentiation to find dy dx 12+ sin(y) - 3x dx book 20. 1-/2 points) DETAILS SULLIVANCALC2 3.3.047. The function f(x) = 2x3 + 9x has an inverse function g. Find g'(0) and g(11). g'(0) - g'(11) - 21. (-/2 points) DETAILS SULLIVAN CALC2 3.3.055. An object moves along the x-axis so that its position x from the origin (in meters) is given by...
Please show all steps for the proofs. I'm having trouble
wrapping my heads around these.
15.65CALC Waves of Arbitrary Shape. (a) Explain why any wave described by a function of the form y(x, )f(x - ) hat when moves in the tx-direction with speed u. (b) Show that y(x,1) =f(x-v) satisfies the wave equation, no matter what he figure? the functional form of f. To do this, write y(x, rf(), where harp (fre- power P(x, r) as given by Eq....
Show all of your work in an organized manner. Circle your answers. You may not use a TI-89 graphing calculator on this test. If a function is given as y=..., then you may not use y'= ... or y" = ... 1) Use the graph of f(x) to answer the following questions: (5,6) (2, 2) a) Identify all intervals on which f(x) is increasing. b) Identify all intervals on which f(x) is decreasing. c) Find the x-coordinate for all local...
-SHOW ALL WORK For all four problems include a graph (use your calculator) or draw a labeled diagram where appropriate. 1. Maxima, minima, points of inflection Given the function y = x(x-4) take derivatives and find critical points, local extrema, and points of inflection a. y'= Graph critical points ( ) ( ) b. y" = y y → ) max:( min:( iPad points of inflection ) ) Y→
19. [-13 Points] DETAILS HARMATHAP12 9.3.008. MY NOTES In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 6. (b) Find the slope of the tangent to the graph of y = f(x) at x = 6. (c) Find the point on the graph of y = f(x) at x = 6. (x, y) =...
2. Use the information in the charts to answer the following questions and sketch the graph of the function f(x) a) List all the critical points (both coordinates) and classify them as max, min, or neither b) List all the inflection points - ND + + ND - 0 + S. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to...