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Q: The LCM and HCF of two number are 180 and 6 respectively if one of the number is 30 find the other…
A: Given that the LCM and HCF of two number are 180 and 6 respectively. That is LCM=180 and HCF=6. And…
Q: Given a natural number c ∈ N. On natural numbers, the relation Rc is defined as follows: ∀ a, b ∈ N…
A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…
Q: b) Graph the following trigonometric function for the interval 0 ≤ x ≤2: y = 2 sin(x)
A: Sol:- Before plotting , some information about graph :- Periodicity of 2sinπx: 2Domain of 2sinπx,…
Q: A radioactive substance has a decay rate of 0.079 per minute. How many grams of a 200 gram sample…
A: The radio active decay is governed using the equation: N=N0e-kt. Here, N0 is the initial population,…
Q: Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 1 + 4i and corresponding eigenvector -1 + i…
A: Given: The eigenvalue is λ=1+4i and the corresponding eigenvector is v→=-1+ii. To find: The…
Q: he initial tableau of a linear programming problem is given. Use the simplex method to solve the…
A: Given table for linear programming problem is x1 x2 x3 S1 S2 z 1 6 4 1 0 0 12 4 3 5 0 1 0…
Q: 9. Evaluate the following integrals: (Simplify your answers) (a.) [x¹² cos(x-6)]. X+3 8(x-4)dx -2x…
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Q: 2. 3) Suppose the demand function of a candy business (Qa) is given by Qa = 1000 e-0.2P where: P =…
A: Solution :- First find the marginal revenue (MR) and marginal cost (MC)Here ,Qd=1000e-0.2PMR =…
Q: 256. [T] The formula for the area of a circle is A = ar², where r is the radius of the circle.…
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Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…
A: Sol:- For positive x -axis:- Vector = (1,0,0) & GIVEN F = (-170, 120, -80) -170120-80,…
Q: Answer the following questions: (1)Prove by using Contraposition to show that: If (n + 1)² is odd…
A: Part 1 To prove a statement "if p, then q" by contraposition, we prove "if not q, then not p" Now,…
Q: 22/3÷32/4
A: We need to find 223÷324
Q: 2 3 5 6 789 1 5.Find rank and nullity of A=4
A: The given matrix is A=123456789. We have to find the rank and nullity of the matrix A. First, we…
Q: (b) d²y dy Find the solution for cos(x) ² − (1 + x²) dx − 2xy = 12 with the conditions - dx² dx 1+x²…
A: Given cosxd2ydx2-1+x2dydx-2xy=11+x2y1=-1, y2=2, h=0.25`
Q: Suppose Σan and Σ bn converge where an and bn are nonnegative for all n. Prove that anbn converges.
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Q: In a class with 25 student there are 6 student very talentet in the subject of art. What percentage…
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Q: a) 6/7+2(3-2√7) b) 3-2/5-(4/5-6) c) -3√6-3(1-2√6)
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Q: We used Romberg integration to approximate ff(x) dx, we got R₁1 = R₂1 = R1 = and f(²)=2 Then f = 25…
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Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(z) has a limit cycle.…
A: Given That : The second order system is: x˙=f(x) with a locally Lipschitz f(x) has a limit cycle.…
Q: 1. Express e² in rectangular form a) z = −1 + j T 4 b) z = π + jπ c) z = 1.5 + j2
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Q: VIT Assignment-1 BHOPAL Discrete mathematics & Graph Theory-MAT 2002 Name:... Reg. No: 1. How can…
A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…
Q: Determine the behaviour of the set of 4 elements {1,-1,i,-i} under the ordinary multiplication of…
A: Given, The set of 4 elements are 1,-1,i,-i.It is to be shown that this set is group.
Q: 1. Suppose Delta Corp allocates $600,000 to spend on research and marketing. Delta Corp estimates…
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Q: 4. Solve cos x = cos 2x for the interval x E
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Q: Find the function y: (0.x) → R that satisfies the ordinary differential equation ry'(x) + y(x) = x²…
A: Given : y : 0 , ∞→ℝ ; xy'(x)+y(x)=x2 cosx ; yπ = 0 To Find : solution of ordinary…
Q: Problem 3) Given a football in the figure: 1 L=12 in The diameter is measured at some points and…
A: Given : z(in) 0 1.5 3 4.5 6 7 d(in) 0.0 2.9 4.8 6.2 6.2 6.7 To Find : (a) Area of the…
Q: Compute the first 5 Legendre Polynomials, Po(x), P₁(x), -P₁(x). (These These are > Solutions, P,…
A: What is Legendre Polynomial: Legendre polynomial is a collection of orthogonal polynomials of degree…
Q: When feC¹ (R,R), and X*ER is a point with f(x*)=0 and f'(x*) ±0, then we know that there exists some…
A: From the given expression option "b" is true
Q: 2. Given a system with input x(t) and impulse response h(t) given by: x(t) = t³u(t) and h(t) =…
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Q: 8. Given that: f'(x) to the left of x= 4 is negative f'(x) to the right of.x-4 is positive f'(4)-0…
A: What is Critical Point: The critical point is a point belonging to the domain of definition of the…
Q: 3 Find ³√3+4i
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Q: The line of action of the 2690-lb force runs through the points A and B as shown in the figure.…
A: The slope: m of a line that passes through the points: x1, y1 and x2, y2 is calculated using the…
Q: 4. Show that if ki = (X; - X)/[Σ(X; – X)2], then (a) Σki = 0; = (b) Σk? = 1/[Σ(X; − x)2]; (c) Σκ;(X;…
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Q: 2. Express log(x²-x-12) -log(x² - 7x + 12) as a single logarithm. State any restrictions on the…
A: Given Expression is logx2-x-12-logx2-7x-12 Here we can use the formula log a - log b =log ab
Q: Which of the following satisfies the statement f(x) is O(g(x)) when r5 log(x+1) +16x²? -5x3 = g(x) =…
A: Given that fx=x5logx+1-5x3-2x33+16x2 Now, fx≤x5x5x3+2x33+x3=x35+2x33+x3=x33+2x33+x3=2x3
Q: Intelligence as measured by IQ score 136 is best described as O Nominal Ordinal O Interval O Ratio =
A: Sol:- Correct option :- ordinal
Q: Let a = [1, -3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)
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Q: (a) Prove that : (a-1)² a²+1 a (6-1)² 6²+1 b (c-1)2 c²+1 c = 0
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Q: 6. Solve 6*+³ – 6* = 215
A: 6. To solve: 6x+3-6x=215
Q: 2 Solve (x²D² - xD + 4) y = x² sin (log x).
A: Given differential equation is x2D2−xD+4y=x2sinlogx. We have to find the general solution of the…
Q: the value of lambda such that y=e^lambda*x is a solution of y''x-4y'+20=0 as: could you help me…
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Q: Sides of a Triangle are in the ratio of 14 20: 25 and its perimeter is 590cm. Find its area.
A: The perimeter(P) of a triangle is calculated using the formula: P=a+b+c. The area(A) of a triangle…
Q: -5 - y=5 ya y=x² X
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Q: De Morgan's Theorem • Show the solution of the ff. simplified logic expressions: 1. X = (Ã + C) • (B…
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Q: Consider the differential equation: X (y')8 - - y(z) A) Find the value of m. When solving the…
A: Consider the given differential equation, x·y'8-lny'y'3=0 So, it can be written as,…
Q: 7. Alta Vista Co. employed 840 employees. It announced to layoff of the sales force. How many…
A: The total number of employees were 840 It announced to layoff 14 of the sales force. So, the number…
Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…
A: Consider the given differential equation, 6y'-2exy=0; y0=2 Now, let us consider that,…
Q: y^2+x=8.Given that y is half of x,what are the values of x?
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Q: 4. What is the purpose of the following iteration formula? Xn+1 = 2x₁-x²R₁ where R is a non-zero…
A: given iteration xn+1=2xn-xn2R ...i it is known that, newton formula is xn+1=xn-ynyn'…
Q: 5. 6. Solve fo e-t sint dt. dt. t Solve fe-t. -t sint t
A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If…
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- Prove that in a given vector space V, the zero vector is unique.Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that among all the scalar multiples cv of the vector v, the projection of u onto v is the closest to u that is, show that d(u,projvu) is a minimum.Find a basis for R3 that includes the vector (1,0,2) and (0,1,1).