Use the Binomial Theorem to expand the expression (3x + 2y). Show your work.

Q: 10. Let ø: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv/2. Show that is a Q-linear field…

A: Given :  ϕ : ℚ(2)→ ℚ(2)  be a map defined by ;  ϕ(a+b2) = a-b2. To prove :  ϕ is a ℚ-linear field…

Q: Exercise 8.3. Let c(n) denote Ramanujan's sum and let M(r)=En<z +(n), the partial sums of the Möbius…

A:

Q: g(x) = 2x - n+ 4 sin? x g(t) dt. %3D 0.

A:

Q: (3) (a) Suppose a ring R is a finitely generated algebra over a field k. Prove that the Jacobson…

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Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

A: Karla get 5 shirts, 3 pairs of pants (i.e, total 6 paints), 2skirts and 3 pairs shoes

Q: (A, R) and (BiS) two sets partially given. We define on the product Ax B a relation T by: (a,b) T…

A:

Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Given : Number of science course= 4 Number of humanities courses =3 Number of Mathematics course=2

Q: Let an increasing sequence of non-negative, measur-

A: we will prove it by using the fatous's lemma

Q: G9. Draw a graph with 4 vertices each of degree 2.

A:

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A: Principal Amount P=$4,500 Time t =5 years Rate of interest r=1.7%=0.017 Compounded monthly n=12

Q: Theorem 8.5. (Minkowski's Inequality). Let1sp<o. hen for every pair f.g e L", we have Il f + g II, <…

A: this is a problem of functional analysis.

Q: The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's…

A:

Q: 1. Solve the differential equation y" + 4y' + 8y =-4e-2 sin(2x) using the method of Undetermine…

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Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697).…

A: as 92639 is a prime number so Z*92639 is cyclic group of order 92638.

Q: Solve by theorems of linearity and translation. f(t) = cos t + sin t

A:

Q: 2. What is 2,918 ÷ 3 ? 969 R1 972 R2 976 972 R1 3. What is 4824 ? ABCD

A: In this question ,  we have to evaluate,  (2)  2918÷3  and  (3) 824÷4

Q: 3. Determine a root from the given equation below using Regula-Falsi method with the terminating…

A: Given that, F(x)=0.004x4-0.02x3-0.7x2+1.8x+13   (1) Iteration 1st: at x=5, f5=4.5&gt;0and at x=6,…

Q: ) Solve the following differential equation: -2 1 d'u 1 -2 1 u dt2 1 -2] | with u(0) = (0, 2v2,0) &…

A:

Q: Use the present value formula to determine the amount to be invested now, or the present value…

A: Solution :-

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A: The solution is given below.

Q: Q. 8.(a) Solve the integral equation by the method of resolvent kernel g(x) =1+2f(1-3xt)g(t)dt 0.

A:

Q: What is the volume of this rectangular pyramid? 5ft 3 ft 4 ft cubic feet

A: We have to find the volume of the pyramid.

Q: G5: What is the degree of vertex 2? Degree =

A:

Q: dx 1+ sin?

A: Some of the formula of trigonometric tan2x+1=sec2xtanx=sinxcosx∫1a2+x2dx=1atan-1xa+C

Q: If the animal is in the woods on one observation, then it is four times as likely to be in the woods…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Draw diagram to show the output of each phase of compiler for following expression. a +b-c*d

A:

Q: You deposit $13,000 in an account that pays 5.5% interest compounded quarterly. A. Find the future…

A: We have to find the future value.

Q: Question 4 Find the solution. ,dy 2- y?=2xy dx (A 2x -2 B

A:

Q: Solve the given initial-value problems. xe dx + (y-1)dy =0; y(0) =0

A: Differential equation and solution

Q: Using the priority list T6, T3, T7, T2, T5, T1, T9, T3, T4, schedule the project below with two…

A: Given the table Task Time required Predecessors T1 9   T2 12   T3 3   T4 7 T1 T5 10…

Q: The principalP is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A:

Q: EULER DIAGRAM. Determine if the following arguments are valid or invalid. 1. Some skaters drink…

A:

Q: 3. The coefficient matrix of the system AX = 0 is given as 1 1 3 1 2 -1 0 1 -1 A = -3 2 1 -2 1 4 16…

A: For the solution of the problem follow the next steps.

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.

Q: *"()-3х ()- у ()+ 2у()- 141 +3 * ()- 3x()+ у () - 1 %3D

A:

Q: Let X be a group and we then let x and y be an element of X.  Prove that (x*y)^ -1 = a^-1 * b^-1 iff…

A: Since there are some mistakes in given typed question.question may like "Let X be a group and let…

Q: r(6.7)

A: Solving for given gamma function

Q: Find the General Solution of (D² + 5DD' + 6D²)Z = 10 cos(x – y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: (5+3<20°+3i+5e0.927i) Solve and express your answer in the form of a + bi (1-3i)

A:

Q: 2. The Fourier series for the function given by: f(z) = { %3D 2 sin(nx) (2n T(2n - 1)2 n=1 (a)…

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Q: O1: find the root of the following equation, x3 = 20 using Bisection method with X=1, xu=4, conduct…

A: Let, f(x) = x3 - 20. We try to find root of f(x) = 0, by bisection method with initial interval…

Q: (3x²+ 2y²)dx + 2xydy=0

A:

Q: K(x, z) = e 202

A: Given that This kernel can be represented mathematically  when x, z are real numbers as follows:…

Q: Find all the singularities of the f(z). Are they isolated? sin z z3(z – 3i)² sin f(z) = Classify all…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: G13. Construct the graph for the adjacency list: a: f, g, i, j b: g, J f: a, i, j g: a, b i: a, f J:…

A: Use the given adjacency list and construct the required graph.

Q: Plot

A: Given, plot 78 and 88 on the number line.

Q: Plot the point with cylindrical coordinates (2, 27/3, 1)

A: Introduction: The distance from a chosen reference axis, the direction from the axis relative to a…

Q: Find the maximum and minimum values of the function f(x, y, z) = x²y² z? subject to the constraint…

A: For the solution of the problem follow the next steps.

Q: Use Stoke's theorem to compute the integral [[s(V × F) · n dS, where • n F(x, y, z) = (xz, yz, xy)…

A:

Q: elp please

A: Given that 20-ounces of chocolates is for $5.