PLEASE ANSWER ALL NUMBER 3 (Parts A-F)
PLEASE ANSWER ALL NUMBER 3 (Parts A-F) Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a funct...
funct (b) Use the graph of f(x) to answer the questions that follow: 10+ i. lim f(x) lim /(x) = lim f(x) = f(-2) - ii. Is f(x) continuous at -2? Explain briefly. $(2) = iii. lim (3) - lim f(x) = lim /(r) - iv. Is (1) continuous at : = 2? Explain briefly wolle v. List all intervals on which f(x) is continuous
oo as 1 II III IV V Select all of the possible orbitals that could have the following quantum number designations: n = 3 l = 1 me = 0 Select all that apply = IV V - None of the above
1. Find lim f(x) and lim f(x) for each of the following. Assign oo or - where appropriate: (a) f(z)=42 -2 (b) f(x)= 3r-2 (e) f(1)--5rt6 (x - 2)2 2. Find each of the f limits, assigning oo or-o where appropriate x+2z-1 (b)lm 3r-2 3 r-2 (c) li 42+1 (k) im (2r V4r2-8r 3) 15r-2 3. Find the horizontal and vertical asymptotes of each of the following functions 4. Sketch the graph of each of the following functions and determine,...
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a function f satisfying the following properties: .f is continuous, . lim f(z) 0, .f"(x) S0 on (-oo, -3). e lim f(z)oo, .()>0 on (0,2) .f'(2) 0, and f(r) dz 1, )t-1 for> 3 -3 Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a...
7) Sketch a graph of a function that has the following properties: lig, f(x)--2 linn,f(x) = 2 f(3)-1 lino f(x) = 1 /(0)--1 x-3 8) Use a table of values to estimate the limit. Include in your table all of the values of t that you use and the results, but feel free to use a calculator for the arithmetic. Make sure to state your conclusion. a) lim 5-1 t t→0 b) lim 7) Sketch a graph of a function...
Q2. x+y (a). Let f(x,y) = x²+y²+1 Find (i). lim (x,y)-(1,1) f(x,y) (ii). lim f(x,y) (x,y)-(-1,1) (iii). lim f(x,y) (x,y)-(1,-1) (iv). lim f(x,y) (x,y)-(0,0) ( 4x²y if (x, y) = (0,0) Q3. Let f(x,y) = x2 + y2 1 if (x,y) = (0,0) Find (i). lim f(x,y) (x,y)--(0,0) (ii). Is f(x,y) continuous at (0,0)? (iii). Find the largest set S on which f(x,y) is continuous.
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of the following. i.) lim f(x) ii.) lim f (x) x=0 X2 TI iii.) lim f(x) iv.) f(2) x-1- v.) lim f(x) vi.) lim f(2.5+h)-f(2.5) h 0 h x +1 -4 b. State all x values at which i.) f(x) is discontinuous ii.) f(x) is not differentiable.
(5 points) A continuous function f, defined for all x, has the following properties: 1. f is decreasing 2. f is concave up 3. f(26) = -5 4. f'(26) = - Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following intervals, what is the minimum and maximum number of zeros f could have in the interval? (Note that if there must be exactly N zeros in an...
(g) The function f is defined for all real numbers except -7 and 3 and has the following properties. i·f(-2)=1 10 AT 2010, Section 012 April 7, 2019 -20(x + 2) 3 1. vii, lim f(x)=-oo Sketch the graph of the function f, showing » The line tangent to f at the point (-2,1), intervals of increase and decrease. ● concavity, and » all asymptotes (g) The function f is defined for all real numbers except -7 and 3 and...
Sketch the graph of f(x) given the following: lim f(x) = 2 f(-1) =1 f(1) =1 lim f(x) = DNE 1--1 -> A function f is continuous at a number a if lim y(x) = f(a) ca requires the following 3 things: