Let the terms a1, A2, A3, an be in G.P. with common Let S denote the sum of first k terms of this G.P.. Pr r+1 ΣΣμαρα;· Sm-1x Sm =

Q: Use the simplex method to maximize the following: Maximize f 3x1 + 9x2 subject to 4x1 + x₂ < 5 2x1 +…

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Q: If p, q and r (p+q) are terms (not necessarily consecutive) of an A.P., then prove that there exists…

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Q: 8. Consider the matrix A = [3 21 15 0 (a) Find the characteristic polynomial for A. (b) Find the…

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Q: 11, 31. Find the flux of F = (x²y, xy, y²z³) across the cube bounded by the planes x = y = ±1, z =…

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Q: Here

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Q: 4. The measure of the angle between a - b and −j-k

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Q: The standard normal probability function is used to describe many different populations. Its graph…

A: Given that fx=13πe-x2/4.

Q: (1) Use a Comparison Test to determine convergence or divergence of the series. (a) (c) 8T8][8] n=0…

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Q: Calculate the line integral F. dr, where F (3y, -3z, 2x + 2) and C' is the boundary of a triangle…

A: We will find line integral by using stokes theorem .

Q: Be V a vector space over IR, {e, S < V, dim S < dim V (m < n). em} and show Σ(ve)e, =Σ(ve)e wer j=1…

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Q: In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.1…

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Q: Taylor Series For F(x)=x3 at -4 is Ch(x+4)" C2= C3= Σ Find First Few Coefficients: Co = C₁ = C4 =…

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Q: Let {₁,..., un} be an orthonormal set in R" and let U = [u₁ U₂ of the following is/are true? (Select…

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Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

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Q: dt -We can get the roots m² +Gm +8 -0 corresponcting by using it's ^ auxiliary equation

A: Here we find characteristics roots. Complementary Solution  Particular solution.

Q: APR of 4.8% compounded You are saving to buy a car, and you deposit $210 at the end of each month…

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Q: 3 Calculate the following limits. In each case, clearly state any facts or results you use (for…

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Q: y' = -(x - 2)²(x-4)

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Q: The general solution of the DE [1 + y tan(xy)]dx + x tan(xy) dy = 0 is

A: The differential equation is given by:  1+ytan(xy)dx+xtan(xy)dy=0 we have to solve the above…

Q: all appl Evaluate the upper and lower sums for angles are assumed to have the same width. f(x) = 1 +…

A: We can solve this by using Riemann sum. As given information we are just solving for n = 6

Q: Question 18 A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the…

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Q: The length of a rod is 15 m and the measure of the linear density at a point is a linear function of…

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Q: Suppose that f:[0,2]→R is differentiable, f(0) = 0, f(1) = 2, and f(2) = 2. Draw a sketch and cite…

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Q: dm dx Prove that: — m „¸a- '2F₁(a,b;c;x)]=(a)_xª−¹ ₂F₁(a+m,b;c;x)

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Q: All college freshmen will gain 15 pounds. Susan is a college freshmen. Therefore, Susan will gain 15…

A: We have to test the validity of the given arguments: All college freshmen will gain 15 pounds.Susan…

Q: Select all the convergent series a. Στη 1 b. n=1 C. ΣΤΑ 1 3" n! (-1)" n2

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Q: Determine the dimensions of the least expen- sive cylindrical can that will hold 100 cubic inches if…

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Q: Find the time required for an investment of 5000 dollars to grow to 8800 dollars at an interest rate…

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Q: b. find the rector along which I decreases most rapidly at the point (1,0)

A: Given that f(x,y)=e2yx-x3y+4 . I have solved both parts.

Q: Find the area of the region bounded by the curves y=√x + y = ½ x the endpoints are: the area is:

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Q: Find the solutions to the following differential equations: 1. y" + 8y' - 9y = e-3x sin2x 2. y6y" +…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: A. Verify if the given equation is a solution of the given differential equation: (Show your…

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Q: There are (4n+ 1) terms in a certain sequence of which the first (2n+1) terms form an A.P. of common…

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Q: 3. A function f: D→ R is called a Lipschitz function if there is some non-negative number C such…

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Q: 4. x and y are two positive integers. (x,y) = 5, Icm (x,y) = 200 and 15, find x and y. gcd x - y =

A: Given that     gcd(x,y) = 5 ;   lcm(x,y) = 200   and  x-y = 15 Formula :     xy =…

Q: A volunteer is making gumbo for a local fundraiser, and the gumbo requires shrimp, cans of tomato…

A: Let x denotes the number of pounds of shrimp purchased, y denotes the number of cans of tomato sauce…

Q: The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal…

A: Given subspace 042, 55-5

Q: For the following problems, simplify the expression (which means, write the smallest non-negative…

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Q: Consider the power series (-1)^x^ n=1 9m (n²+4) M8 interval of convergence gues From x = to x =…

A: Ratio test -: If a series ∑n=1∞anxn is given and  limn→∞an+1an=L if L&lt;1,then series converges…

Q: Use the table of frequently used Taylor series to find the sum of the series. 2 3 4 5 X -X +X -X…

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Q: A sequence of numbers A,,, n = 1, 2, 3, ... is defined as follows: 2n 3 = 44 = 2/1/2 and for each n…

A: The given problem is to prove the given summation is less than 1 when A1=1/2 and…

Q: 4. Find MacLaurin's series (i) using the known function series (see slide 30 from the Lecture Notes…

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Q: y'=x²y², y(¹)=1 a) Calculate the Euler method approximations to the solution to the initial value…

A: The given differential equation is y'(x)=x2y2 with the initial condition y(1) =1. Here, f(x, y) =…

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: R i. Prove every element of Q/Z is a torsion element ii. Recall that the cyclic submodule generated…

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Q: Consider the system of differential equations xi(t) = 3x₁ (t) + 2x2(t) x₂ (t) = x1(t) + x₂(t) + e²t…

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Q: Use the function Q(p) = 3plnp² to answer the following question.

A: We use the properties of derivative to find the answers for given questions.

Q: 1. Abigail spends her entire weekly allowance on either candy or toys. If she buys candy one week,…

A: As per the guidelines of Bartleby once max three subparts can be answered, please repost other…

Q: Exercise 4. Solve the equation xx' + y = y' + 2x² = 1. = 2t,

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Q: 1. DETAILS Consider the given function and the given interval. f(x) = 2.r (1+x2)2 [0, 2] (a) Find…

A: The given function is f(x)=2x1+x22, and the interval is 0,2. (a) To Find: Average value of the…