Question 12 Which of the following is not correct? B n²(n+1)(n+2) 3 is 0 (n) for every integer n ≥ 3 15x³ + 11x² + 9 is 2 (x²) for every integer x ≥ 1 12+ 22+ 32 + 4²+ ...... + n² is 0 (n²) for every integer n ≥ 1 5x89x7 + 2x³ + 3x - 1 is 0(x8) for all real numbers x ≥ 4

Q: Problem 1. Let E be a real vector space, F be a closed subspace of E, and a € E\F. Set d(a, F) =…

A:

Q: The audobon society recently estimated top speeds of peregrine falcons and found a 95% confidence…

A: Given: The 95% confidence interval for the average top speed in miles per hour of the species is…

Q: 47. Construction pool shown in the figure. 48. Parks Find the area of the 2-meter boundary around…

A: Solution:-

Q: Due to employee safety negligence at a nuclear waste facility, 2000 tons of a hum 1) (8 radioactive…

A: Solution:-

Q: Make an educated guess as to the limit of the complex sequence zn = in / (2n + 6). Working directly…

A: Given complex sequence is: zn=in2n+6 We have to make a guess about the limit. Also directly using…

Q: 1) (i) Find the domain and the range of 2 =√16-2x² z=f(x, y) = 4². Describe the domain. y (ii)…

A:

Q: PLS DO ON COMPUTER OR TYPE IT SO I CAN READ IT   1) You are to create a real life example of a…

A: An equation is said to be a linear equation if the highest power of the variable is always 1. The…

Q: Let √(x^2-3x) for 3≤x≤9. We want to estimate  *Attached a) Divide the domain of f into 6…

A: Given: fx=x2-3x  for 3≤x≤9. (a) We have to divide the domain of f into 6 subintervals of the same…

Q: Use the quadratic formula to find the two roots. Here is the quadratic formula: -b + Vb^2- 4ac/2a…

A:

Q: Evaluate SfF.ds where F = (3xy², 3x²y, z³) and M M is the surface of the sphere of radius 3 centered…

A: We will use divergence theorem to find surface integral of given vector field  If region R bounded…

Q: 3. The function g is defined by g(t) = 2t² + cos(2t). (a) Derive an equation determining the…

A:

Q: The complex Fourier series representation of a periodic function of period 2π is given by ∞ Fs(t) =…

A: Given Data: 'The complex Fourier series representation of a periodic function of period 2π is given…

Q: In a mass spring damper system, the acceleration, a m/s², velocity, v m/s and displacement, s m are…

A: cramer's rule to find solution of linear equation of 3 variable…

Q: Let A, be the area bounded by the curve y = (tan x)" and the lines y = 0, and x 1 Prove that for…

A:

Q: Calculate the flux of the vector field F(x, y, z) = 8yj through a square of side length 5 in the…

A:

Q: 5. Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbles and 2 blue marbles.…

A: Since you have uploaded multiple part questions, according to our guidelines we have solved first…

Q: Calculate the integral approximation Se for L've de.

A: Solution :- Integral approximation S6 is given by :-(For S6 , n = 6)S6 = ∫124x-2dx

Q: Find the length of the parametric curve x = 1+ 15t², y = 4+10t³, 0≤t≤ 1.

A: We have to find the length of the given parametric curves

Q: 1) Express in cylindrical and spherical coordinate systems. Cylindrical Spherical Coordinates…

A:

Q: 10) Find the transpose of the resulting matrix: AE 4 x 5 -100 3 5 A = 2 2 a. -|-7 26 29 26 C. - 29 7…

A:

Q: feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is…

A:

Q: Show that the characteristic function of a random variable X satisfies |1 − o(t)| ≤ E|tX|. -

A: Given Data: To show that the characteristics function ϕ of a random variable X satisfies 1-ϕt≤EtX

Q: f(x) = 0 1 for n≤ x < - for for -/<x< 1 0 for T ≤ x < T 1|21|2 T π

A: This is a problem of the Fourier Series.

Q: Use Newton’s method to find the root of f(x) = (z)x 3 – (y)x 2 + 5 = 0 between a = 0 to b = 2. Use 4…

A: Use Newton’s method to find the root of f(x) = x^ 3 – x^2 + 5 = 0 between a = 0 to b = 2. Use 4…

Q: Question 5. The function f(t) is defined by 2t 1 0 <t≤1 f(t) = { 1<t<2 with f(t + 2) = f(t).…

A: It is given that ft=2t-10&lt;t≤120&lt;t≤2 and ft=ft+2. Substitute -1.5 for t in ft=ft+2.…

Q: 3. Consider the parametric equations x = 3 cos@ and y=2 sin 0, for 0≤0<2m. (a) Sketch the curve by…

A: Note : As per our Guidelines , we can solve first question. please repost remaining one.

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = x³i+y³j + z³k out…

A: F→(x,y,z)=x3i→+y3j→+z3k→ Bounded b the solid x2+y2≤4,  0≤z≤4

Q: 6. How many ways are there to arrange the letters in the following words? (a) PENCIL (b) PEPPER…

A: Solution :-

Q: Use the parametric equations of an ellipse x = 4 cos 0 y = 13 sin 0 0≤0 ≤2T to find the area that it…

A: Given x = 4 cos θy = 13 sin θ0 ≤ θ ≤ 2π

Q: Find the center of mass of a unit hemisphere if the density at a point is proportional to the square…

A:

Q: Find the range for the group of data items. 26, 27, 28, 29, 30

A: In Statistics, the range of a data set is the spread of the data set from lowest to highest values.…

Q: ∞ Σ η=1 1 √n η

A:

Q: Consider the parametric equation What is the length of the curve for 0 = 0 to 0 = ³/π? x = 8(cos 0 +…

A:

Q: Define T: R² →R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R2 with the…

A:

Q: Initially a tank is filled up with 150 gallons of water in which 300 lb of salt is dissolved. Brine…

A: Initially the tank has 150 gallon of water. 300 lb of salt is dissolved. Brine with concentration 1…

Q: 6. Let R be the following relation on {a, b, c, d, e}. MR = (ants) Represent R with a digraph. TULLE…

A:

Q: The Principle of Inclusion-Exclusion can be used to solve the following problems. 1. How many…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Evaluate the integral for the following data. F = [x - z, y - x, z-y], S: r = [ucos (v), usin (v),…

A:

Q: The concentration of a drug in the bloodstream t hours after injection into the body is given by the…

A: Given: The concentration of drug in the bloodstream is given by, Ct=6t0.7+t2. To find: The time when…

Q: One of the tallest buildings in a country is topped by a high antenna. The angle of elevation from…

A:

Q: The data in the table shows the number of mother-to-child HIV infections diagnosed in the United…

A: Let x be the number of years after 1985 and y be the number of cases. 1. Create a scatter plot of…

Q: Find the gradient vector field (F(x, y, z)) of ƒ(x, y, z) = x²y³zª . F(x, y, z) =

A:

Q: Which of the following best describes the surface with parameterization r(u, v) = (4u cos (v), u sin…

A: Note the following fact : The equation represents  x2a2+y2b2=z2c2 a cone .

Q: If f(x)=3x-²-5x¯³+1 and g(x)=√√x, then derivative of (gof)(x) is: a. b. C. 1/1/23 1 2 3x ² 5x 3 1 d.…

A:

Q: Q-4: a) Let R and S be relations on the set A = {1,2,3} represented by the matrices [1 0 11 MR 1 i.…

A:

Q: Prove that x113+x-1≡0(mod 113) has no solutions in x.

A:

Q: For Exercises (1) to (6): Determine if the term has a positive or negative coefficient in the…

A:

Q: Let sequence (tn) = (1 , 0 , - 1 , 0 ,1 , 0 ,-1 ....) What is the lim sup (tn) , and lim inf (tn) ?

A:

Q: 0 (1) 3 -1 -5 -1 Solve Az = 0 and hence deduce its rank using the Rank-Nullity Theorem. =) Define A…

A: As the questions are interrelated to each other, they are treated as different questions. If…

Q: For every continuous nonlinear function on a closed finite domain, you can find a value of a that…

A: Note the following fact : Maximum-Minimum theorem : If f: a ,b →ℝ  is continuous , then it has…