2. Prove that the number of irreducible fractions not greater than 1 and with denominator equal to n is o(n).

Q: Example 3: Graph f(x) = \x| , and determine the domain and range of s. Solution: S(x) -3 -2 -1 3

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: You have 1000 bugs in a bottle. It is known that the bug population is given by the logistic model…

A:

Q: Find the interval of convergence 2 n(n + 1)(x – 2)" n=0

A: Given series is ∑n=0∞n(n+1)(x-2)n

Q: 2. Find the Global Extrema for f(x) = Bx4-Be(B-A)x. Use the second derivative to determine if those…

A: Here given function, fx=BxA-BeB-Ax .....1 or fx=AxC-DeD-Cx .....2 Substitute  A=6, B=5 in equation…

Q: 4. Let f(x) = { x/² sin ; (x+ 0) 0; (x = 0) i Calculate f'(0) using the definition. Hint see…

A:

Q: Let E be the set of rational numbers in the interval [0, 1]. Let XE be the characteristic function…

A: It is given that E is the set of all rational numbers in the interval 0, 1. The characteristic…

Q: find DA and AD, if possible, where D = D,(3,0,2, –1) and A is the given matrix. 2i 1 1+i 1 3i 8. i A…

A:

Q: Sketch the triangle with vertices O, P = (0,7, 3) and Q = (7,4,0) and compute its area using cross…

A:

Q: If it cost $8 to fill a gas tank in 1980, how much would it have cost to fill the same tank in 1990?…

A: As per average gasoline price data given in the question , price  index for average gasoline  price…

Q: A company operates No oil wells in adesignated Each pump, on averogeg 240 barrels of oiT daily. The…

A: Given that a company operates 16 oil wells in a designated area and each pump on average extracts…

Q: This is the first part of a two-part problem. Let P = -6 cos(6t) ý1(t) = - (sin(6t)) ] -6 sin(6t)…

A:

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenval

A: To find the eigenvector of the matrix for the corresponding eigenvalue. Matrix: −24−148446…

Q: Sid needs 0.9 meters of canvas material to make a carry-all bag for his wheelchair If canvas is…

A: Given that we have to find cost of 0.9 meters

Q: Minimize c = 43x + 43y + 11z subject to 2x + z 2 3 2x + y - z 2 2 3x + y - zs 3 x 2 0, y 2 0, z 2 0.…

A:

Q: Heights (in inches) obtained by a group of people in a random survey are reported in the following…

A:

Q: Consider the statement: “There is a person x who is a student in CSEN 5303 and has visited Mexico”…

A: Given: A statement "There is a person x who is a student in CSEN 5303 and has visited Mexico” To…

Q: x + 2, -2 < x < 0 2, Given: Let f (x) = 0<xs2 1. Sketch to what function you expect the Fourier…

A:

Q: 2. Find the eigenvalues and eigenvectors for the following matrices 4 3 a. A = 5 6 1 2 -1 b. А — 0 2…

A: We have to find the eigen value and eigen vector.

Q: The following data represents the age of 30 lottery winners. 20 30 32 32 36 36 37 37 39 42 44 45 46…

A:

Q: Suppose that an object is thrown upward with an initial velocity of 64 feet per second off the edge…

A:

Q: Line n passes through the points (-3 -7,5) and (2, -5). Tahila determined that the equation of line…

A: The general equation of a line is given by the equation; y=mx+c where m is the slope of the line and…

Q: (a) Write down a set of parametric equations that describe the entire ellipse. Be sure to state the…

A: Consider the equation of an ellipse x2a2+y2b2=1, 0&lt;a&lt;b

Q: 9–10 Change from rectangular to spherical coordinate 9. (а) (1, /3, 2V3) (b) (0, – 1, – 1) 10. (а)…

A:

Q: QUESTION 3 Let E be the region in the first octant contained below the plane z=3 and above the cone…

A: We will find integral in all 3 co ordinate system and then compare .

Q: You are wallpapering two walls of a child's room. One wall measures 9 ft by 8 ft, and the other…

A:

Q: Given the following: g(x) = 2 + x - x², [a,b] = [0,3], p = 1 a. Verify that the two conditions of…

A: Intermediate value theorem

Q: dw Find ду dw at the point (w, x, y, z) = (3, - 1, - 1, - 1) if w = x3y? + yz-z° and x2 + y? +z? =…

A:

Q: R Fnd he coneion mara Suppose that B and C are ordered bases of R. Find the conversion matrix from B…

A:

Q: 5. y/56) = e" + cos x+-sin x++x 3x Find general solution

A:

Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

A:

Q: System Realization 20. Draw a cascade-form block diagram for each of these system transfer…

A:

Q: (4b) Prove that there exists no positive integer x such that 2x < x² < 3x.

A:

Q: 8 m/s 6 m/s 3 m/s 2 m/s C, C; C4 C, 4m/s 2 m/s 5 m/s 4 m/s 4m/st c=20 mg/m³ 12m/s c= 15 mg/m 6m/s…

A: Consider the diagram showing the five mixing vessels connected by pipes. To obtain the simultaneous…

Q: Suppose you bought a sofa for a total purchase price of $1,184.97. State taxes were 4%. What was the…

A: Solution :  Given that  Total purchase price = $1,184.97 Sales tax rate = 4%

Q: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Given,ρ=k , ϕ= k , θ=k To check which one of the given surfaces cannot be described in the above…

Q: You are making 145 apple dumplings. Each dumpling requires 1 peeled and cored 6-ounce Granny Smith…

A:

Q: y= (x-p)(x-r) and p+r=4.Find the x coordinate of the vertex of the parabola. O a. -2 O b. 4 O c.…

A:

Q: For what value of a is the function  fa(x,y)=(3x+ay)e":"\(f_a(x,y)=(3x+ay)e^(x-y) a solution of the…

A:

Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

A:

Q: Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 8…

A: Please post the multiple parts separately.Here I answered only 1st subpart i.e, (1) as per our…

Q: The angular velocity vector, ω, can be obtained by adding all components of the angular velocities…

A: Given, Angular velocity vectorω as the addition of all angular velocities. To find: To choose the…

Q: Use integral test to determine converges or diverges.

A:

Q: 2. Below you are given the graph of the function y=g(x). Use the graph to answer the questions. a)…

A:

Q: Use Spherical coordinates to calculate the triple integral of f(r, y, z) over the given solid. (a)…

A:

Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: 21. Draw a parallel-form block diagram for each of these system transfer functions. 18 (a) H(z) =…

A:

Q: Consider the matrix transformation T : R² – R* with standard matrix 1 Which one of the following…

A: Here given transformation is from R2 to R4

Q: The trace of an n × n square matrix A is the sum of its diagonal entries, denoted Tr(A) = a11 + a22…

A: Let A=a11a12...a1na21a22...a2n........an1an2.ann and B=[b11b12...b1nb21b22...b2n........bn1bn2.bnn]…

Q: many ways may 5 students be seated in a row for a pictorial? 21. How of 5 chairs

A:

Q: 2. Use the composite trapezoidal rule with the step length h = 0.1 to evaluate dx I = 1+x2 and…

A: Composite trapezoidal and composite Simpsons 1/3rd rule