Consider the following recursively defined sequence: 5 an+1 = 2' 1 - (а, + 2), п € N. aj = 1 Prove that an > for all n E N. 2"
Q: C) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1, ...
A: Given: A simple graph of order 11 where the vertices have degrees 1,1,2,2,2,2,3,4,4,6,6.
Q: 10. Solve the initial value problem dy dy dt dt2 +8 -9y =0 y(1) = 1, y'(1) = 0.
A: 10 Given differential equation is d2ydx2+8dydx−9y=0 and y1=1, y'1=0. We have to find the solution of...
Q: 5. x"(1+ Inx)dx
A: Given is to evaluate the integral ∫24x2x(1+lnx) dx
Q: V [2] Let u* be an outer measure on a set X such that B is a subset of X, then u*(AU B) = u*(B). *(A...
A:
Q: dy \ Find for dx et dt
A: In this question, the concept of the fundamental theorem of calculus is applied. Fundamental Theorem...
Q: Q4: Find the solution for the following system of equation (a) x + 2y + z = 4, 3x – 4y - 2z =2, 5x +...
A: Note:- As per our guidelines, we'll answer the first part of this problem as both the problem are di...
Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 9. 2. 25 ...
A: The vertex of ellipse x2a2+y2b2=1 is a point at which it makes its maximum turn. Let a>b. Then a...
Q: Find the value of ( v1' and v2' ) for t D.E's if we use the variation of param
A: Introduction: Parameter variation is a general method for determining a specific solution of a diffe...
Q: To help pay for culinary school, Rafael borrowed money from an online lending company. He took out a...
A:
Q: A card is drawn from an ordinary deck. Match the following with their probabilities. 10 2 10 10 10 A...
A: The probability of an event is P(event)=Favourable outcomesTotal number of outcoms Here, the total ...
Q: A sari-sari store owner wants to display 20 pieces of different canned goods in a row on a shelf. Co...
A:
Q: dr kr(M- x)-h (5) models a fish population which is growing according to the logistic law, and harve...
A: The complete solutions are given below
Q: B. On the line before each item, write TRUE if the statement is correct and FALSE if the statement i...
A: To find which statement is true or false . Note :- {In inequality a : x < (-3), Because from grap...
Q: Selecting classroom officers for president, vice president, treasurer. Combination Permutation
A: We use permutation when order of selection matters and combination when order of selection doesn't m...
Q: /I. Find the area of triangle ABC having the indicated measures. Round to the nearest hundredth. 11....
A:
Q: : 2 2. X- -r
A: We know that ∫a2-x2dx=xa2-x22+a22sin-1xa+c
Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...
A:
Q: Test for exactness. If exact, solve. If not, use an integrating
A: Given, x2+y2dx-2xydy=0
Q: (a1 + a2) + (az + a4) + (az + a6). . . + (a2n-1+ a2n) +...= E1(a2k-1 + a2k). 6. If =D1 ... is conver...
A:
Q: Question 2 Let joint pdf for X and Y as follow: f (x, y) = *(2-y) 4 for 0<x<2 and 0<y<2 a) b) Find t...
A:
Q: Solve the following LPP problems using Simplex Method: 4. Max Z = X1 - 3 X2 + 2x3 Subject to 3x1 - X...
A:
Q: QIFind Srsec-"(x) dx
A: The given question is related with evaluation of an integral. We have to find ∫ x sec-1x dx . Note t...
Q: [6 31 Use Gauss elimination method to find the inverse of A = %3D
A: In order to determine the inverse using the Gauss elimination method, augment the matrix with an ide...
Q: The flow system shown in the figure is activated at time t = 0. Let Q,(t) denote the amount of solut...
A:
Q: ight students in Ms. Reese's class decided to purchase their textbook from two different sources. So...
A: Given Eight student in Ms. Reese's class decide to purchase their textbook from two different source...
Q: Given U = 8 and the bearing of the vector is N60°W, find the EXACT components of the vector U. Give ...
A: Introduction: If a vector makes an angle with the positive x-axis, then, it can be decomposed into i...
Q: Prove that any positive integer greater than or equal to 8 can be written as a sum of 3's and 5's. (...
A:
Q: Choosing six officers from the class. Combination Not Combination
A: Given that Choosing six officers from the class
Q: Show that -p → (q →r) and q → (p V r) are logically equivalent. Show your work and justify each one ...
A:
Q: -0.5x - 4 if x 2 -7- 6- -2- -8-7 -6 -5 43 -2- 2 3 6 7 -2 -3- -6- -8- Clear All Draw:
A: The given function defines a piecewise defined function.
Q: H-W. Solne the P.D.E: , Y (x,0) = 30 Cos 5 X = 3 x² y(폴,t)=。 2
A:
Q: Ashley spends $15 each time she travels the toll roads. She started the month with $225 in her toll ...
A:
Q: 1. f/x) 3D Зx+1
A: Introduction: Continuity and differentiability are the fundamental properties of a real-valued funct...
Q: Let x + 2 f(x) x + 7 f-'(- 9) =
A: It is given that the function fx=x+2x+7. We know that fx=y, where y can be evaluated by putting the ...
Q: O Let (eto-) is aring of complex-numberrs and M be aringof2x2 matrices aud desined as sollows. g e M...
A:
Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes thro...
A: The standard form of the quadratic function is fx=ax2+bx+c, where x is a variable and a, b and c are...
Q: Qz/ Evaluate the complex integral: dz (z+ 1)(z – 2) where C is: a) The circle Iz] = 3 b) The circle ...
A: Note:- If z =(x+i y) then z =x2+y2 Cauchy's Residue Theorem:- ∮Cfz dz =2πi sum of residue Given i...
Q: 1+ax log 1-ax dx x 1-x Evaluate
A:
Q: Chris bought 6 packages of napkins for his restaurant. There were 200 napkins in each package. How m...
A: We need to determine the total number of napkins using the number of napkins in each package and the...
Q: (esc (x) – csc(x)) cot(x) dx
A: Introduction: The u-substitution formula is a method for calculating integrals. The fundamental theo...
Q: What is 2x=6
A: To find : 2x = 6
Q: preofs H.W-
A:
Q: Q6) Find y' for the following: 1. += 1 y 2 2. хз — уз — у %3D1 - уз — у %3D 1
A: 1. Write the equation in terms of y.
Q: b) For a set X = {1, 2, 3, 4}, let P be the partition {{1,3}, {2, 4}}. The partition P induces a rel...
A:
Q: Given the difference equation y[n]+2y[n-1]+y[n¬2] = 2x[n]–x[n=1] with initial conditions y[-1] = 3, ...
A: Introduction: The unit step function is expressed as un=0, n<0=1, n≥0 This function is very much ...
Q: nse in Fig. if R d charge are zero
A: The voltage v(t) is calculated as
Q: The average product of labor on a fencing crew with 4 workers is 0.6 miles per employee per day. The...
A:
Q: 2. Find the negation of the proposition: It snows whenever the wind blows from the northeast.
A: Solution:-
Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =...
A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1
Q: Q3: Write down the chromatic polynomials of (i) the complete graph; (ii) the complete bipartite grap...
A:
Step by step
Solved in 2 steps
- Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a conjecture about the relationship between these two sequences.Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!n
- Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n• In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of nthat ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 63. List the first six terms of the sequence. an=n33.5n2+4.1n1.52.4nFind the sum of the first five terms of the sequence with the given general term. an=2n+1Find the sum of the first five terms of the sequence with the given general term. an=n