Caroline takes 50 selfies in an hour, and 20 additional selfies in the next hour. If the pattern continues, write a closed rule for the number of selfies she would take in ‘n’ hours.

Q: Consider the matrix, A = 1 2 3 0 1 1 2 0 -1 -2 24 34 -1 0 a (a) Using row reduction method try to…

A: A square matrix A is inversible if A is non-singular, i.e. det(A) is non-zero.

Q: K 1 Perform the row operation R₁ and replace R, on the following matrix. 8 8 0 0 40 0805 0045 800 40…

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Q: dy dz = 1+ 2z-y, y(0) = 1. (a) Use the Euler's method to find the approximation of y(2) with the…

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Q: A matrix A= -12 20 -3 -4 -8 4 400 4 0 40-4 0 01 1 - 11 Find a basis for Nul A: - 8 -1 -5 -1 3…

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Q: For each of the following two LP models, respond to the following questions using graphic tools and…

A: (1) The constrain which are binding the solution is  3x+4y≤242x+y≤10x≥1y≤5y≥0 (2) The redundant…

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Q: Question 1 y varies directly as x. If x = 8 then y = 4. Find y when x = 5. y = Question Help:…

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Q: the base of an objec cross sections (perper nd your answer to at

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Q: 2) f(x) = (x-2)(x − 1)(x + 1)(x +

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Q: -3/2 Calculate the integral of ƒ(x, y, z) = z(x² + y² + z²)¯ over the part of the ball x² + y² + z²…

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Q: A function is given by f(x) = 2x - e-6. Now answer the following: (a) Approximate the derivative of…

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Q: Part a) Rewrite by peeling off the first term and the last two terms. n+1 k (k+1)! Part b) Rewrite…

A: Given that, ∑k=1n+1k(k+1)!   Consider the first term and last two terms in expansion as follows:…

Q: Solve by the elimination method. 2x - y = 8 x+4y=31 Select the correct choice below and, if…

A: 2x - y = 8  . . . . . . (1)  x + 4y = 31 . . . . . . . . (2)  We multiply both sides of equation (2)…

Q: Determine whether the following vectors form a basis of R4: 2 8 -2 -8

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Q: 3. (a) (b) Compute the upper bound of the error using Cauchy's Theorem for f(x) = sin² (r/2) with…

A: please find the attached answer

Q: Find s12  for the series 2 + (-4) + 8 + (-16) + …

A: The given series is                                2+(-4)+8+(-16)+···

Q: 3) We know, by theorem, that if A is a square matrix then the following statements are equivalent:…

A: The given matrix is A=2401.

Q: Given the Tridiagonal Matrices A and given vector b is is possible to solve this using A^-1 * b ??

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Q: Determine if the following sequence converges. If it does, find its limit. 8 √2n! \ (2n)! (n=1 2.…

A: (1) Let, the given sequence is {un}, where un = 2n n!2n!

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Q: Given the differential equation y" + xy = 0 and assume a solution of the form y = Choose All Correct…

A: Given differential equation is y''+xy=0 The solution is determined as shown in the next step.

Q: If the price of gold decreases at a monthly rate of 2.2%, by what percentage does it decrease in a…

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Q: Let a, b, c E Z and n E N. Assume a = b (mod n). Prove that a + c = b + c (mod n).

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Q: Find some bipartite graph of order p such that i(G) = p - 1.

A: please find the attached answer

Q: Consider the periodic function f(t) defined as follows: - 2t f(t) = 2 e for 0≤ t < 2, and f(t+2) =…

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Q: P is a point and PM and PN are the perpendiculars from P to z-x and x-y planes. If OP mak angles 0,…

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Q: Determine which Simpson's rule you are going to use and solve for the vehicle's displacement in the…

A: v0 v1 v2 v3 v4 v5 v6 Time 0 5 10 15 20 25 30 Velocity 25 28 32 30 29 26 23 h = 30 - 06 = 5…

Q: Calculate the integral of ƒ(x, y, z) = z(x² + y² + z²)−3/2 over the part of the ball x² + y² + z² ≤…

A: The given problem is to evaluate the given triple integral of the function over the given region of…

Q: 12. If X₁, X₂,...,X, are independent variables such that E[X]=μ and Var (X)=0², i=1,2,..., n. Define…

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Q: An inventory consists of a list of 80 items, each marked "available" or "unavailable." There are 50…

A: please find the attached solution

Q: Find the inverse, if it exists, for the given matrix. 5-9 4 -7 ... Select the correct choice below…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t = 1), y(0) = 5 y(t)…

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Area of rectangle= Base × Height Base if every rectangle us 1.  Height is 3x1/2

Q: Give an example of a 2 x 2 matrix with no real eigenvalues.

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Q: A certain amount of an indissoluble substance containing 2 kg of salt in its pores is subjected to…

A: As given , initial amount of salt S=2 kg. After 5 minutes, remaining amount of salt is 1 kg. Also,…

Q: A company manufactures Products A, B, and C. Each product is processed in three departments: I, II,…

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Q: a. What is the trapezoid approximation with n subintervals? T(4)= (Round to six decimal places as…

A: Let the given integral  I=∫1e6xdx   Take y=fx =…

Q: Find (f◦g)(x) and (g◦f)(x) and the domain of each. f(x) = x + 2, g(x) = 4x2 - 7x - 2 (f * g)(x) =

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Q: Find the volume of the solid bounded above by the cone z² = x² + y²2, below by the xy-plane, and on…

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Q: Prove that 3" +4" ≤5" for all integers n ≥ 2.

A: The given problem is to prove the following inequality 3n+4n&lt; 5n for all the integers n&gt;2.

Q: 3 Look at the boxed result on page 417. Now determine which of the following improper integrals…

A: It is already known that: ∫1∞kxndx : converges if n&gt;1. diverges if n≤1. Here, k, n are…