Find the total number of in H.C.F. of n and 36 is 1.

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Q: We form the intersection of two sets. We know that one of them has n elements and the other has m…

A: Given : A=n , B=m To Find : Cardinality of A∩B

Q: find the area of a triangle.  given the points A, B, and C. Plot the points A= (0,2,6), B= (8,2,2),…

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Q: Form a DE with respect to t: x = Acos (In t) + Bsin(In t).

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Q: Explain ONE ZERO AND ONE POSITIVE EIGENVALUE?

A: In this question, we have to explain one zero and one positive eigen value.

Q: / Let (X₁T) and (Y₁J) be top. Spaces and fix-x be a surjective and continuous map, then y is Compact…

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Q: 1 Express the following functions in the form utiv f(Z) = ln (1+z) @

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Q: For each initial value problem below, determine whether our existence and uniqueness theorem…

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Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: 3. Prove that I Pn (Cost) = log [+ cosec (1/2)] and n=o ntl show that 1 + = P₁ (coso) + / P ₂₂…

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Q: By using Laplace transform to solve y" - y = et with y (0) = 1 and y′ (0) = 0 , what would the…

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Q: sketch the graph of the given function on the interval t ≥ 0. g(t) = (t − 1)u1(t)−2(t − 2)u2(t) + (t…

A: Given: The function is g(t)=(t−1)u1(t)−2(t−2)u2(t)+(t−3)u3(t). To sketch: The given function. The…

Q: Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21,…

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

Q: 4. Prove that the following curves are intersecting with a right angle: 5y-2x+y²-x²y = 0 2y +…

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Q: Does there exists a graph with the following degrees; (a) 0, 2, 2, 2, 4, 4, 6; (b) 2, 2, 3, 3,…

A: Given: the given degrees are (a) 0,2,2,2,4,4,6; (b) 2,2,3,3,4,4,5 To check : Does there exists a…

Q: Prove that ax² bx + (x − a) (x −b) (x −c) ¹ (x − b) (x − c) || x³ 3 (x-a)(x-b)(x-c) C +—+1 X-C

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Q: with 1 element x. How *x is ... and there is on obviously, it is commu- elements, ₁ and 22. Dinary…

A: Here,  in the question it is been asked about the binary operations on X. Binary operations are…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: Find the total number of integers 'n' such that 2 ≤ n ≤ 2000 and H.C.F. of n and 36 is 1.

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + ye+ (4xy + xe +…

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Q: Angle of a line with the positive direction of the x-axis is 8 (8 is a cute). The line is rotated…

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Q: a random variable has probability distribution: x= 0,1,2,3,4,5,6,7 and P(x) =0,k,2k,2k,3k,k*k,…

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Q: Q3: Solve the difference equation: y[k] -y[k - 1] +y[k - 2] = ( using Z transform.

A: What is Difference Equation: Any equation with a variable difference in it is a difference equation.…

Q: a) Describe the curve obtained when we make y = 2 and z = √2 . af b) Represent on this curve the…

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Q: A.Write the first 5 terms of the sequence defined by the ff. functions. 1.F(W) = 20-1 2. F61) = 377…

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Q: Q2:/ Sketch the region (R) of integration ſ x² dydx and evaluate the integration. Then reverse the…

A: The formula for iterated integrals with non-constant limits of integration is:…

Q: SHOW YOUR COMPLETE SOLUTION 1. How many milliliters can a cube of edge 1.5 dm accommodate? NOTE:…

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Q: 4. In fitting a straight line, the formula to find the sum of the squares of the residuals is (a) E…

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Q: What percent of 45 is 9? Identify the percent, the base, and the amount. Round to two decimal places…

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Q: a) Solve the following first-order differential equations: dy = -y 2x, given that when y=0, x=+2 dx

A: We have given  -y dy/dx = 2x when y = 0 and x = +-2

Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: 20 of 21 A group of architects wish to recreate a modern pyramid like the ones built in ancient…

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Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 |F₁(t) = −8(t + 2) +…

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Q: Find the F. T of the following Signals X(t)=28(t + 2) — 28(t-2)-rect(²+¹)+rect(²7¹) -

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Q: An odd function is symmetric about the vertical line x = a(a > 0) and if 】[ƒ(1+4r)]' = 8, find the…

A: Since given function is odd function that means  f(x) = - f(-x) ............(1) We see  f(a - x) =…

Q: A/ Show that as a half range series of cosine terms for 0 < x < 1, π² /cos 2x cos 4x cos 6x +- 6 +…

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Q: Here ê, are orthonormal unit base vectors in R³. 2.12 Let the vectors (i, j, k) constitute an…

A: Given: Vectors are  e1=-i^-j^e2=i^+2j^-2k^e3=2i^+j^+k^ To find: (a) the dual or reciprocal…

Q: Which of the following wave functions is the solution of O E(x, t) = f(x− vt) + f[2(x − vt)] O {(x,…

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Q: DEFINE NONZERO DISTINCT EIGENVALUES OF OPPOSITE SIGN?

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Q: (Chapter 3.2. Ex.# 49) Show that if f₁(x) is (g(x)), f2(x) is (92(x)), and f₂(x) = 0 and 92(x) 0 for…

A: Given: f1x is Θg1x, f2x is Θg2x, and f2x≠0 and g2x≠0 for all real numbers x&gt;0.   To show: f1/f2x…

Q: If |Xn+2 − Xn+1| < |¤n+1 − xn| for all n E N then (xn) converges. -

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Q: With respect to right-handed Cartesian coordinates, let a = [2, 1, 0], b = [-3, 2, 0], c = [1, 4,…

A: Given: The vectors are a=2,1,0, b=-3,2,0, c=1,4,-2 and d=5,-1,3. To find: The value of the following…

Q: Find the Laplace transforms of the functions given in Problem: f(t) = cos at if 0SIS 2; f(t) = 0 if…

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Q: Compute the product using the methods below. If a product is undefined, explain why. a. The…

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Q: 2. Population Growth Population (millions) 252:1 255.0 257.7 260.3 262:8 265:2 Year 1991 1992 1993…

A: 1)Plot the givens  points. 2) Draw the line of the best fit. 3)Take two points off the line . 4)Find…

Q: A line OP makes equal angle with coordinate axes then find its direction cosines

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Q: 3. (a) Determine the horizontal and vertical components of the 940 lb force. (b) The components of…

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Q: A rectangle piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut…

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