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PART B: Calculating Limits 1) In algebra classes you typically learn that the horizontal asymptote of a rational functi...
I need help with both questions. please solve and explain 2x+7 Suppose g(x) 3) Use this function to answer the following: 3+20r4 Which has the highest degree (power of x)? (circle one) Numerator/Denominator/Same Degree Without simplifying, Gm After simplifying, br Evaluate the following & give a one sentence explanation of your reasoning. lim f(x) lim f(x)= エース Does g(x) have a horizontal asymptote? If so, give its equation. If not, explain why. 1-7ォ 2TaraUse this function to answer the followinge:...
Read the section 2.2 "Infinite Limits and Limits at Infinity" and respond the following questions. 1. Fill in the blank: i. A function f(x) has a at x = a when f(x)® ¥ or when f(x)® - ¥ as x® a* or x® a. In a rational function, if the degree of the numerator and denominator are both the same, the horizontal asymptote is Limits at infinity are use to describe the function. of a
8) Given the rational function: f(x)=x6 STEP 1: Factor the numerator and denominator of (v). Find the domain STEP 2: Write 1x) in lowest terms. STEP 3. Find the x-and y-intercepts. STEP 4: Determine the vertical asymptote(s) (VA). Does f have any holes in its graph? If so, determine the x-values of the holes STEP 5: Determine the horizontal asymptote (HA) if one exists. Determine if /intersects the HA. If fdoes intersect the HA, what is the ordered pair? STEP...
linear algebra 2 part mcq part a part b r(A) Find and n(A) A = 1 - 3 4 -1 9 -2 6 -6 -1 -10 -39 -6 -6 -3 3 -94 9 0 a. r(A) = 5 n(A) = 0 b. r(A) = 3 n(A) = 2 c. (A) = 0 n(A) = 5 d. r(A) = 1 n(A) = 4 e. r(A) = 4 n(A) = 1 f. r(A) = 2 n(A) = 3 А Diagonalize A =...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
1. Decide if the following statements are true or false. Give an explanation for your answer. (a) If 0 < an < bn and Σ an converges, then Σ bn converges (b) If 0 < an < bn and Σ an diverges, then Σ bn diverges. (c) If bn an 0 andbcoverges, then an converges (d) If Σ an converges, then Σ|an| converges (e) If Σ an converges, then linn lan +1/a (f) Σχ00(-1)"cos(nn) is an alternating series (g) The...
linear algebra part a part b Find N(A) A = 1 -3 4 -1 9 -2 6 -6 -1 -10 -39 -6 -6 -3 3-94 9 0 a. 6 N(A) = 4 -1 ୨ 10 E. N(A) = 0 3 2 ) 0 0 C T ୨ NA - -6 -1 -10. -] ୨ =5 - -] ୨ ) d, N(A) = 3 0 0 2 0 5 1 1 0 0 0 NA - 1 1 0 0 -2...
I need help with these linear algebra problems. 1. Consider the following subsets of R3. Explain why each is is not a subspace. (a) The points in the xy-plane in the first quadrant. (b) All integer solutions to the equation x2 + y2 = z2 . (c) All points on the line x + z = 5. (d) All vectors where the three coordinates are the same in absolute value. 2. In each of the following, state whether it is...
Lab 1.java only Goal: This lab will give you experience with defining and using classes and fields, and with conditionals and recursive functions. Getting Started --------------- Read the Fraction.java class into a text editor and compile it filling in the command javac -g Fraction.java. The program should compile without errors. In a shell window, run the program using "java Fraction". The program should run, although it will print fractions in a non-reduced form, like 12/20. Part I: Constructors (1 point)...
This assignment asks you to prove the following Proposition 1 Let {n} and {n} are two sequences of real numbers and L is a number such that (1.a) un → 0, and (1.b) V EN, -L Swn. We illustrate the proposition. To begin, one can check from the definition that 1/n 0. This fact, plus the arithinetic rules of convergence, generate a large family of sequences known to converge to 0. For example, 11n +7 1 11 +7 3n2 -...