A pentagonal fractal pattern has the sequence (1, 5, 25, 125,...). The explicit formu O a Ob Oc Od a₁=1, r= 5, f(n)=57-1 a₁ = 1, r= 6, fin) = 5"-1 a₁ = 1, r= 5, f(n) = 5" a₁ = 1, r=4, fin) = 5"-1

Q: 35) In the figure below, pre-image trapezoid Z is rotated about point X to image trapezoid Z’.…

A: Given: The given figure, where pre-image trapezoid Z is rotated about point X to image trapezoid Z'.…

Q: Solve each of the following congruences. (a) 6x + 3 = 4 mod 10 (b) 6x + 3 = 1 mod 10 (c) x² = 1 mod…

A: In congurent modulo n, ax≡bmod n has exactly 'd' solutions if 'd' divide 'b'where d=gcda,n otherwise…

Q: A cable hangs between two poles that are 70-ft apart. The two poles are both 40 foot high. Sag is…

A:

Q: Problem 5. Determine if the columns of the matrix -2 1 4 40-4 -8 2 12 form a linearly independent…

A:

Q: Pure water has a pH value of 7.0. How many times more acidic is milk, with a pH value of 6.4, than…

A: Given that:      pH value of Pure water = 7.0      pH value of Milk            = 6.4

Q: Suppose that y varies inversely as the 4th power of x, and that y=8y=8 when x=4x=4. What is y when…

A:

Q: Which graph has all four of the following characteristics? 1) The graph is symmetric with respect to…

A: Sol Correct option :-

Q: 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate…

A:

Q: Problem 1. Determine a and b such that the solution set of the system 21+ ax₂ = -1 3x12x2 = b (a) is…

A: A system of linear equation Ax=b has  (i) No solution if Rank of [A:b]>Rank of A (ii) Unique…

Q: Q3) Solve the following differential equation using finite difference method xy" = y + 5xe-x Using…

A: Given,          xy''=y+5xe-x                                      ...(1) and  0≤x≤1, h=0.25, y(0)=0,…

Q: In Exercises 1 and 2 calculate the eta vector and then the eta matrix E from the given information.…

A: It is given that the pivot column is tp=1234-130512 and the depending variable labels the second…

Q: 23- y" - 2y + y = 0; y₁(t) = et, y₂(t) = tet

A: 23. Given y''-2y'+y=0   Also given y1t= et,  y2t=t et   To verify: the functions y1, y2 are…

Q: Calculate fff(x, y, z) dS For s f(x, y, z) ds x² + y² = 16, 0≤ z < 2; f(x, y, z)=e*

A:

Q: If G = {1, 2, 3, 4, 5, 6} is the upper group of multiplication modulo 7, H is a subgroup of G with H…

A: To solve this problem,we ues two results 1)if a belongs to H then Ha=H 2)INDEX: the cardinality of…

Q: City high school had a student reduction and lost 1/10 of its students. if 198 of its students were…

A: The school lost 110 of its student. The number of students left after reduction was equal to 198. We…

Q: Pretend that in a certain city the number of new cases of COVID was reported to be 800 new cases on…

A: Given that the number of cases on Sunday is 800. It increases by 15% on Monday, then it increases by…

Q: Exercise: 5 a) Find the outward flux of the vector field F(x, y, z) = x³i+y³j + (z³ + xz)k across…

A: a) find the outward flux of the vector field Fx,y,z=x3i+y3j+z3+xzk across the surface of the region…

Q: Express the given quantity in the form a + ib. cos(6-7i) cos (6) cos(7h) + i sin (6)sin (h7) eBook X

A:

Q: 2, x=0 3. (4 points) Let f: R2 → R be given by f(x, y) = 3, x=2 and R= [0, 2] x [2, 6]. Prove from…

A:

Q: Find an equation for the graph above.

A: Start with y=sin(x) then change its period increase amplitude then shift towards negative y-axis.

Q: y" +2y+3y= sint + 8(t-3л); y(0) = 0, y'(0) = 0

A:

Q: TM UTM a) Given two complex numbers z = 2+ 3i and w= UTM i. Find zw in a + bi form and in polar…

A: As per the policy of bartleby the provisions is to solve only one question at a time, I am solving…

Q: Your answer is correct. dy dt Write down a differential equation of the form = all other solutions…

A:

Q: Set up the iterated triple integral which gives the volume of the solid in the first octant bounded…

A: Sketch the region.

Q: A mass weighing 64 N stretches a spring 0.32m. The mass is initially released from a point 8m above…

A:

Q: Determine if the series converges or diverges. Give a reason for your answer. ∞ Σ n=1 sin n 2n Does…

A:

Q: Define the relation R on the set of integers as Vm, n EZ, m Rniff 5|m - n Determine if the relation…

A:

Q: There are 6 multiple choice questions in a test paper. Each question provides 4 answers for students…

A: Since you have asked multiple questions and first two are not of math questions, we will solve the…

Q: Find the transform in Z of the following exercise: z² (z-1)²(z²z+1)

A: Introduction: We are familiar with continuous or analogue signals in the temporal domain. However,…

Q: 1. This two part question asks you to determine whether a given map represents a function. 1.…

A:

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A: Introduction: If an object is in a uniform gravitational field, the center of mass is also referred…

Q: Find a power series representation for the function. (Give your power series representation centered…

A: Sol:- Power series representation of a function is given by :-…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: Set up the iterated triple integral which gives the volume of the solid in the first octant bounded…

A:

Q: The equation that models the amount of time, t, in minutes that a cup of hot chocolate has been…

A: Given that the equation that models the amount of the time, t in minutes that a cup of hot chocolate…

Q: (5) Let f: RR be twice-differentiable f(x) ≤0 and Prove that f is constant on R. on R. Suppose that…

A:

Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b where A is an nxn matrix of the form A…

A:

Q: Problem 8. Define a transformation T: R2 R³ by T(₁, 2) = (-21 - 8x2, 6x1 + x2, 4x1 - 7x2). (a) Find…

A:

Q: Use the Laplace transform to solve the given differential equation subject to the indicated initial…

A:

Q: Consider the statement: For all integers a, b, and c, if alb and blc then alc. The statement is…

A: We have to find if a divides B and B divides c then a divides c is true or not.

Q: 12 What is the coefficient of ¹2 in (x+2)¹5 ? a

A:

Q: 2. Assume that there are three people (A, B, and C) and that there are only two kinds of people:…

A: Assume that there are three people (A, B, and C) and that there are only two kinds of people:…

Q: Find the general solution of the given differential equation using variation of parameters. y" +…

A: Please find attachment First option is correct

Q: J -6 -5 -4 -3 -2 -1 0 F Submit Question 16 16 4 on 5 3 2- 1 --+ -2- -3 -4 -6- Toffe) 1 2 Find an…

A: Given is some graph of k(u) To Find: the equation of the graph

Q: A committee is to consist of a chair, two hagglers, and six do-nothings. The committee is formed by…

A:

Q: The Euler totient function : N→ N is defined by o(n) = #{k ≤n: gdc(n, k) = 1}. That is, o(n) is the…

A:

Q: Which system is represented in the graph?  y x2 – 2x + 4 y ≤ x2 + 4

A:

Q: Question 10 Use Stokes' theorem to verify that where the vector fields (V x F). ds S oriented…

A: Figure-1 Figure-2 The surface and the boundary involved are shown in Figure 1 and its projection on…

Q: Simplify the following completely and state all restrictions. a) 3√7+9√28 b) √54x³ - 2√√16x²…

A:

Q: Ngày: Tuan:- Calculate the triple integrals SSS E z dv where E is the domain bounded by: x² +₂₂² +₂²…

A: The given solid is bounded by E: x2+y2+z2≤4, and y≥0 ; z≥0. To Find: Limits of z, r, and θ for the…