Show that cos λx 2² +1 -dλ TU že 2 x ≥ 0.

Q: -100 1 Consider the definite integral (a) Write a script m-file to approximate the value of this…

A: As per the question we are given a definite integral of integrand 1/ln(x) and limits [2, 100] Now we…

Q: Probability 1. A math conference has an attendance of 4950 people. Of these, 2110 are college…

A: Probability is the ratio of a number of favorable to the total number of outcomes. The probability…

Q: Jessica’s monthly gross earnings is 2784.50. She deducted 152.13 for social security tax, 73.35 for…

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Q: Let E={(r.0.2) : Os es z, 05 zs 1, 9√/25 rs 9). Compute dv.

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Q: The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be os(120) + 18,…

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Q: Prove that 1 1 ¹+(¹+0)+(¹+) +- 200 1+ (₁ + 3) (1) 5 5 5² 2² 9

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

Q: 14 36 26 Clubs: A4 K4 Q4 J4 104 04 84 74 64 54 14 34 23 (a) How many different orderings are there…

A: (9) (a) There are 52 cards and all of them are different. So total number of different orderings is:…

Q: imitregang nom-Mangott let na libe be my and 1(n) be function, we have EX (d) = logn din

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Q: +-(ne N), then prove that n S(2)+...+S(n-1)=(nS(n)-n) or (nS(n-1)-n+ 1+=+=+ 2 3 a) = 1+; =

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Q: 11) (6 P) Let X= (1,3,4) and Y= (s, t, u, v).Define f: XY by specifying that f(1) = v. f(3) = s.…

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Q: the sum of firsts 5terms of an arithmetic sequence is 0 and the fifth term is 8 determine the common…

A: Given that the sum of firsts 5 terms of an arithmetic sequence is 0 and the fifth term is 8. We have…

Q: Suppose an ellipsoid is described by the equation + 16 9 4 volume of the ellipsoid on the first…

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Q: H.W/ let S= [[3] ; X70, ує a subset of R². IS of 1R² be Subspace J-Jubour

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Q: compute the area of the region determined by the vertices (-1,0), (0,1), (1,0) and (0,-1) using…

A: Integration is defined as finding the integral of the given function. Integration is denoted by ∫.…

Q: < (p+s)*60\+ (9+0) 01 JI क

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Q: 6.) [D³ + 6D² + 11D +6] (yx) = 0 7.) [4D³ + 4D² +D](ro) = 0 8.) [D¹ + 2D³ + 10D²](yx) = 0

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Q: = cos yx² - cos xy² the If w=z³ -xz-y and z= cosy (3x), -----

A: Given That : w=z3-xz-y and z=cosyx2-cosxy2 To Find : ∂w∂xy "As per the policy, we are allowed to…

Q: If a , b , c be in GP and log_c(a), Log_b(c) and Log_a(b) be in      AP , the find the common…

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

Q: 32. Show that Cos mx et + ex dx = TT ema12+ e -mm/2 Hint: Integrate the function eimz/(e² + e)…

A: The given integral is  ∫-∞∞cos mxex+e-x dx =  real part of  ∫-∞∞eimxex+e-x dx…

Q: 2- Fill in the multiplication table and the addition table z₂ = + 0 1 2 {0,1} 0 1 2

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Q: In this exercise we need to prove that A complement is a subset of A union L, where L is the set of…

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Q: Using simplex method and graphical method solve the dual problems, Objective function: Min w=14x,…

A: Given dual problem:- Objective function: Min   w= 14x1 +20x2 +24x3 Constraints: x1 +x2 +2x3 ≥7x1…

Q: I think there is a typo. It's supposed to say A has no finite subcover since any finite subset of A…

A: R is not compact with standard topology.

Q: 12. Let the complex field C be a vector space over the real field R and the conjugation operator T…

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Q: Consider a vector ? in a linear vector space of dimension ? spanned by basis {?̂?}. You need to…

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Q: 1, solve the following Fredholm integral equations by using the Ado- mian decomposition method r1 1.…

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Q: Let H be the set of all points (x, y) in ℝ2 such that x2 + xy + 3y2 = 3. Show that H is a closed…

A: Given that H=x∈ℝ2:x2 + xy + 3y2 = 3 here we have to show that H is closed subset of ℝ2

Q: 1- Which one of the following is equivalent to 3 mod7 a. 73 b. 31 c. 13 d. 33

A: We have to find the which one of the following is equivalent to 3 mod 7.   a) 73 b) 31 c) 13 d) 33

Q: Solve the boundary value problem. ди Әu = 4- Әх ду u(0,y) = 8e-3y

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Q: A large pizza cost $2.50 more than a small one. Five large and two small cost $73.75. Find the cost…

A: Let assume large pizza cost is = L small pizza cost is = s According to question A large pizza cost$…

Q: Show that both R and R² may be covered by countably many open balls.

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Q: which are Subspaces of RB & find abasă to those that <x+y, x+z, g+z)..... < x, y, z) 936

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Q: Determine the best and complete answer for the following. Simplify all your answers. If possible,…

A: The given problem is to find the real part of the given complex expression (-i)-i.

Q: Find the differential equation such that y(x) = (x − 1) [c sin(ln(x+1))+c cos (In(x+1))] Od²y +2 dx²…

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Q: >) Find the sum to infinity of the series 3 1² +2²x¹ +3² + x² +4²x³ + ....... inf.

A: Part A

Q: Find the Fourier series for the triangle wave f(x) = {π2+x,if−π≤x≤0π2−x,if0&lt;x≤π, defined on the…

A: Given: fx=π2+x-π≤x≤0π2-x0&lt;x≤π We have to find the Fourier series.

Q: Let C be the circle |z −1| < 2 taken in the positive sense.

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Q: 1. y=x²e + 4e* 2. y e-3x cos3x

A: As per our guidelines we do here only first question and kindly rest question can be reposted.

Q: The function f(t) is defined as follows f(t)=3-2t+t²,0<t<8. Define f (t), an odd periodic extension…

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Q: u(x) = x + (1 - 2)e² + √² 2²e¹(²-¹)u(t)dt 0

A: Given : The Fredholm integral equation : ux = x+ (1 - x)ex + ∫01x2et(x - 1)u(t)dt   To solve : The…

Q: iven that sin (0), state the value(s) of in degrees, correct to one decimal, such that 90° ≤ 0 ≤…

A: The correct option is 186.4 and 353.6

Q: 1. Track down the quantity of stages of the letters in "sled".  2. Track down the quantity of…

A: (1) Word: "sled" Total number of word: 4 Total number of possible arrangements: 4!=24 Hence the…

Q: Using the Method for Variation of Parameters for the differential equation y" + P(x)y' + Q(x)y =…

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Q: II. PROBLEM SOLVING SET-UP the definite integral that will solve the area or volume described in…

A: (2) The given curves arex2+y2=4, and x29+y24=1. To SETUP: Integrals for the volume of the solid…

Q: Consider the differential equation x2y′′+x(1+bx)y′+[b(1−N)x −N2]y =0, x &gt; 0,…

A: Given:x2y''+x1+bxy'+b1-Nx-N2y=0, x&gt;0. To show: The root of the indicial equation is r=±N.

Q: 3.) Let Find A1 A- 203 010 100 using confactor representation of the imorse matrixe

A: The given problem is to find the inverse of the given matrix by using the cofactor representation of…

Q: Question 1. If the Fourier transform of (3 0<t<2 to elsewhere is F(w). express the Fourier transform…

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Q: 3.) [D5 — 5Dª + 7D³ + D² − 8D + 4](x₁) = 0 4.) [D² - 4D +7] (yx) = 0 5.) [Dª + 2D³ + 10D²](yx) = 0

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Q: Prove that 2¹ >1+n√2¹-1 ; \n > 2 where n is a positive integer.

A: Since you have posted a multiple questions we will solve first question for you as per our Q&amp;A…

Q: Find the mass and center of mass of a lamina like the image below, where the density is known δ(r,…

A: As per the question we are given a lamina having inner radius of 1 and outer radius of 3 The mass…