Prove that lim x → 0+ (√x [1 + sin2( 2π/x )]) = 0 (using the squeeze theorem)

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: 1. Integrate the following linear first-order partial differential equation х ди у ди ди м дх L dy…

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Q: If a + Band of = 5α-3 and ² = 5ß-3, find the equation whose roots are alß and pla.

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Q: Q2) Find the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x*…

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Q: 3 -0-0-0 , V2 = and V3 = 2. Consider vectors V₁ = 1 2 (a) Calculate V₁ V2, and find the angle…

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Q: Бxї Zet (x, г) бе space, then Co-countable тебя xis not Тз-брасе

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Q: ILLUSTRATION 2.13 Let a, b eN and a > 1. Also p is a prime number. If ax² + bx +c=p for two distinct…

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Q: Let f(x, y) = x² - y² + 2y. Find the absolute maximum and minimum values of f on the region 4x2 + y²…

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Q: X(t) = 2 S (t+2) -2 S(t-2) 4-rect (t+1 + reet (t+1) 2 4 Find the F. T. of the following Signals…

A: I have already uploaded it.  Is it any doubt regarding aolution comment it?

Q: If a # B and o² = 5a - 3 and ß² = 5ß - 3, find the equation whose roots are alß and pla.

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Q: Find a general solution of y"=(-2+2isqrt(3))y

A: Given differential equation is y''=-2+2i3y On simplifying, y''--2+2i3y=0 So, the auxiliary equation…

Q: he idea of a large, stable middle class (defined as those with annual household incomes in 2010…

A: Given that  middle class shrank from 61% in 1971 to 51% in 2011. Since the decline in percentage is…

Q: At age 18, someone sets up an IRA (individual retirement account) with an APR of 4%. At the end of…

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Q: Click and drag the steps to determine whether the given pair of graphs are isomorphic. "₁ 1₂ 144 115…

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

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Q: ) A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

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Q: f(x)=x² - 2x - 4.

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Q: each x-value at which f is discontinuous and for each x-value, determine whether f is continuous…

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Q: Find the number of unlabeled trees on 6 nodes.  

A: We have 6 nodes.

Q: 1. Determine which of the following equations is linear or nonlinear. If the equation is nonlinear,…

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Q: When crickets chirp 126 times a minute, it is about 67 degrees Fahrenheit. When they chirp 175 times…

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Q: Find. F.T the rect(t) vec ) دا t+1

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Q: A company calls to notify you that the interest rate on your credit card will increase from 11% to…

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Q: f(x) = x^2-12=0 has a root near x=3.Apply 4 iterations of the secant method with initial…

A: Given: f(x)=x2-12, x1=2 and x2=3. To find: Four iterations of secant method and determine the number…

Q: Orthocentre and circumcentre of AABC are (a, b) and (c, d), respectively. If the coordinates of the…

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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

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Q: If one of the sides of a square is 3x-4y - 12 = 0 and the center is (0, 0), then find the equations…

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Q: Find the coordinates of a point on z-axis which are at a distance of 7 units from the point . P(3, -…

A: We have to find the coordinates of a point on z-axis which are at the distance of 7 units from the…

Q: A paint company is trying to recycle unpopular paint colours by mixing them together to create…

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Q: da Determine if this integral converges or diverges. If it converges find this value

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Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given system is x'=3-20-13-20-13x First given vector is x1=et221 Now, x1'=et221 and,…

Q: Find all values of unknowns which satisfy the following equations: 1. (x, y, z)-3(-1,2, i) - (0,0,0)…

A: As per our Bartleby rules we have to answer only 3 questions.

Q: Let 2 be the rectangle [0, a] x [0,b] in R². Find all possible product solutions satisfying u(x,…

A: Separation of variables.

Q: 3.) 12 sinª 3t

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Q: Identify the directed graph represented by the given adjacency matrix. [0 2 3 0 1 2 2 1 2 1 10 1 0 0…

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Q: 3. The fifth term in the expansion of (2x + k) is equal to the fourth term in the expansion of (2 +…

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Q: Angle of a line with the positive direction of the x-axis is 0 (0 is a cute). The line is rotated…

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Q: The input-output matrix for a simplified economy with just four sectors (natural resources,…

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

A: What is Double Integral: We use iterated integral when a function that depends on two independent…

Q: Question 10 "Given the probability of event G is 1 of 2, the probability of event H is 2 of 3, the…

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Q: -) Evaluate the integral fx/e*dx by i) Trapezoidal Rule,

A: We have to solve the given integration using trapizoidal rule.

Q: Solve the system of equations x + 2y = 4z -5x - 3x = 5y - 1 Enter your solution in parameterized…

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Q: Use the rhombohedral/trigonal metric tensor to show that the relations between the hexagonal (a, c)…

A: Given: ar=a33+ca2 cosα=1-92ca2+6   To show: a=ar2-2cosα c=ar3+6cosα

Q: Solve the problem in the given system of linear algebraic equations using cramer's rule. [2x₁ +4x₂…

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

A: What is Direction Cosine: Direction cosine is related to three dimensional vector geometry. Every…

Q: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ------by exact method ---by linear method

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Q: where c is a constant, then prove that the foot of perpendicular from the origin upon the straight…

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Q: 3. What is the negation of each of these propositions? a) Linda is younger than Sanjay. b) Mei makes…

A: Negation:The negation of a statement is the opposite of the given mathematical statement. If “P” is…