2. (4 points) Consider the function V g(x), where gx)- x(6- 2x)(8-2x), with x being the...
300 450 1 +0.050 3. S points. Suppose that 300 fish are introduced into a protected lake. The fish population can be approximated by P(t) = with being the time in years since the fish were introduced into the lake. Write the equation of the horizontal asymptote for this function. Also, interpret what this asymptote means in the context of the problem (in terms of the fish population and the number of years since the fish were introduced into the...
determine where the graph of the function
f(x)=2x-√49-x^2 is concave upward and where it is concave downward.
also find all inflection points of the function
(In 73.1 In 8 7211 Оe 1 94 721 dla 1 QUESTION 4 Determine where the graph of the function f(x)-2x-19-x is concave upward and where it is concave downward. Also find all infection points of the function O a CD on (-7, 7). IP mone b. CU en (-7,7 IP none OC CU on...
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs)
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
Evaluate the indicated function, where f(x)= x^2-4x +3 and g(x) = 2x-6 (f/g)(1/2)
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimumx maximum x (d) Sketch a rough graph of g.
Let gx)- t) dt, where f is the function whose graph...
Not sure if #3 is right but need help with 4,5,6
Nov 4U 3. Find the absolute extreme values of the function gx)---72x+5 over the (8) --194 (3,-13 nin) -3,40) 2 Rema asta a Revenue o04/cm while the material for the top and sides cests $0.02/cm. Find the dmensions that wil minimize the cost of the con (6) 4. A soup can is to be constructed so that it has a volume of 500 cm. The material for the bottem...
Consider the following function. (If an answer does not exist, enter DNE.) 5 6 f(x) = 1 + х x² (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x=0 Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) 1 y = (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) (-00,0) U( 13.00) X Find the interval where the function is decreasing. (Enter your answer using interval notation.)...
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
5. [-12 Points] DETAILS LARCALCET7 2.2.033.MI. Consider the following. <<2 2 <<4 8 - 2x 6. Sketch the graph of f. 6 2 2 2 4 8 0 10 -10 -6 4 -2 2 -6 y 2 R 2 4 10 -10 0 -6 -2 2 -2 Identify the values of c for which the following limit exists. lim f(x) The limit exists at all points on the graph except where c = 4. The limit exists at all points...
are of change foeleey is beHer noun as acceleration When our function f(x) has a context, such as representing population over time or cost to produce x items, the derivative will have a context as well. To understand the derivative we must look at it not just algebraically and graphically, but also in words. In the following scenarios, explain what the derivative of the given function would tell us. Be sure to include units where appropriate. Where do you think...