![(a) Evaluate Lim 12nº +6n – 175 n700 4n? - 2n + 71 [2 marks] (b) Determine the sum of the first 198 positive integers (the na](http://img.homeworklib.com/questions/bc908720-8daf-11eb-ba75-299aa306db69.png?x-oss-process=image/resize,w_560)
Homework Answers
2 2n-1 n2+6n+8 Determine the exact value of the given infinite series: 10. D) 7 B)...
2 2n-1 n2+6n+8 Determine the exact value of the given infinite series: 10. D) 7 B) A) 3 10 JY 11 21 H) 6 G) 12 F) ela
2 2n-1 n2+6n+8 Determine the exact value of the given infinite series: 10. D) 7 B) A) 3 10 JY 11 21 H) 6 G) 12 F) ela
Prove by Induction 24.) Prove that for all natural numbers n 2 5, (n+1)! 2n+3 b.)...
Prove by Induction
24.) Prove that for all natural numbers n 2 5, (n+1)! 2n+3 b.) Prove that for all integers n (Hint: First prove the following lemma: If n E Z, n2 6 then then proceed with your proof.
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2...
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
Question 21 Indicate whether the series, \sum_{n=1}^{\infty} \frac{5}{2n^2 + 4n+ 3} converges or diverges. Select one:...
Question 21 Indicate whether the series, \sum_{n=1}^{\infty} \frac{5}{2n^2 + 4n+ 3} converges or diverges. Select one: a. Converges b. Diverges
1. A series Can has the property that lim on = 0. Which of the following...
1. A series Can has the property that lim on = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is...
3. Evaluate each of the following limits. 4n? - n +5 (a) an = (-1)","; (b)...
3. Evaluate each of the following limits. 4n? - n +5 (a) an = (-1)","; (b) an= n+1 3n2+1 n n+1 (c) an= 5n (d) ann +1 n 3n (e) an=- () 4n = 5 - n+1 1.1" (g) an= (h) an= (-1)" 2 - 1 n
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate...
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate S(4x3 – 3x2 + 2x – 1)dx (c) Convert the parametric equation to both vector and Cartesian form: [5 marks) X = 2 +31 y = 1 -21 z = 42 [5 marks) (c) A card is picked at random from a pack of 20 cards numbers 1, 2, 3, ..., 20. Given that the card shows an even number, find the probability that...
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate...
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0-...
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0- 14- 196 14 Submit Skip (you cannot come back) Step 2 13 is continuous, positive, and decreasing on [1, o), we consider the since f(x)= For al3 13 n= 1 following. (If the quantity diverges, enter DIVERGES.) 13 13 13 13 dx=lim - 12(b)12 12(112 x13 12 b Submit Skip (you cannot come back) Determine whether the series is convergent or divergent. 4n+15-n n=...
2. Evaluate the following limits. a) lim Vr+6-2 23 23 – 3.22 b) lim th h...
2. Evaluate the following limits. a) lim Vr+6-2 23 23 – 3.22 b) lim th h c) lim 3(2-2) cos(3) 22 +62 +9 h0 100
2 2n-1 n2+6n+8 Determine the exact value of the given infinite series: 10. D) 7 B) A) 3 10 JY 11 21 H) 6 G) 12 F) ela
2 2n-1 n2+6n+8 Determine the exact value of the given infinite series: 10. D) 7 B) A) 3 10 JY 11 21 H) 6 G) 12 F) ela
Prove by Induction
24.) Prove that for all natural numbers n 2 5, (n+1)! 2n+3 b.) Prove that for all integers n (Hint: First prove the following lemma: If n E Z, n2 6 then then proceed with your proof.
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
Question 21 Indicate whether the series, \sum_{n=1}^{\infty} \frac{5}{2n^2 + 4n+ 3} converges or diverges. Select one: a. Converges b. Diverges
1. A series Can has the property that lim on = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is...
3. Evaluate each of the following limits. 4n? - n +5 (a) an = (-1)","; (b) an= n+1 3n2+1 n n+1 (c) an= 5n (d) ann +1 n 3n (e) an=- () 4n = 5 - n+1 1.1" (g) an= (h) an= (-1)" 2 - 1 n
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate S(4x3 – 3x2 + 2x – 1)dx (c) Convert the parametric equation to both vector and Cartesian form: [5 marks) X = 2 +31 y = 1 -21 z = 42 [5 marks) (c) A card is picked at random from a pack of 20 cards numbers 1, 2, 3, ..., 20. Given that the card shows an even number, find the probability that...
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0- 14- 196 14 Submit Skip (you cannot come back) Step 2 13 is continuous, positive, and decreasing on [1, o), we consider the since f(x)= For al3 13 n= 1 following. (If the quantity diverges, enter DIVERGES.) 13 13 13 13 dx=lim - 12(b)12 12(112 x13 12 b Submit Skip (you cannot come back) Determine whether the series is convergent or divergent. 4n+15-n n=...
2. Evaluate the following limits. a) lim Vr+6-2 23 23 – 3.22 b) lim th h c) lim 3(2-2) cos(3) 22 +62 +9 h0 100
Most questions answered within 3 hours.
-
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 32 minutes ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 1 hour ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 2 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 2 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 3 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 5 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 5 hours ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 5 hours ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 5 hours ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 5 hours ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 5 hours ago -
Given the information in the table, which of the following
statements is CORRECT?
Stock A
Stock...
asked 5 hours ago