Using Simpson's (1/3) rule with h = 1, evaluate the integral: I 7 ·S= 3 x² logx dx

Q: Find the equation of the line which is equidistant from parallel lines 9x + 6y-7= 0 and 3x +2y+6=0.

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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: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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

A: Given the region y=2-x2 and the line y=x in xy plane.

Q: The graph in the figure shows the temperature T = T(v) adjusted for wind chill as a function of the…

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Q: Q4) Find the complete solution of the following equations: a) y" +3y' = sin x + 2 cos x (15)

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Q: Handwritten fast. A son-in-law inherited a regular endownment of $200,000 every end of 3 months for…

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Q: Question 1 (a) Evaluate the integral X S sinh?(r) da.

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Q: 1. Consider the system of equations 421 +172 823 = -307 1+ 422-42x3 = -73 -321-16x2 + 723 = 286 (a)…

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Q: Voting In the 75th Congress (1937-1939) the U.S. House of Representatives had 333 Democrats, 89…

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Q: 9. Two dice (black and white) are rolled. Test if the following events are independent: A: Black die…

A: In independent  case we know that  P(A intersection B ) = P(A) x P(B)  So A and B are independent .…

Q: d) 5+ 7 = 10. e) x + 2 = 11. f) Answer this question.

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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: E] F] An amount of $3000 is invested at 4.2% compounded annually for 10 years. What will be the…

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Q: Prove: Use mathematical induction to prove that 5" -4n-1 is divisible by 16 for all ne N.

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

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Q: Abhinav obtained 65 and 80 marks in first two unit tests. Find the minimum marks he should get in…

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Q: Discrete Math Compute the adjacency matrix of Km,n

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Q: Greg claims: The negation of "Chandra is taller then me" is not "Chandra is shorter than me".…

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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(^¯¹) 2 2 1 -i 2 At 2

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Q: In the following addition problem, the numbers have been encrypted by letters. Each letter should…

A: (1) Observations:          (a) Since 'KID' is a three-digit number, and 'KID' + 'KID' is a four…

Q: Prove that Σ (2n+1) P(x) no (1-2hx+h²) ¾/2₂

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Q: Let (X, d) be a compact metric space and T: XX be a mapping that satisfies d(Tr,Ty)<d(r,y) for all…

A: What is Metric Space: Metric space is an abstract set in mathematics, particularly topology, with a…

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: 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 production matrix for the following input-output and demand matrices using the open model.…

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Q: Suppose A1, A2, ..., 430 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each…

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Q: Find F.T it. XLt) = 28 (t+27_28 (+-2)_rect (t+1) t-1 +rest +1) 2

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Q: (a-x)√a-x-(b-x)√√x-b √a-x+√√x-b If y = whenever defined. then find dy dx

A: What is Differentiation: Differentiation is determining in which rate a function is changing with…

Q: c) Moshe is taller than Monica. d) Abby is richer than Ricardo.

A: Negation of the statement

Q: b←(dv(b←d)) ·8 (d_←b_)↔(b←d) (bnd)v(b_vd)

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Q: Q1) A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

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Q: 3.) 12 sin 3t Note: a¹ = (a²)²

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Q: Modular Arithmetic -  Find the class representaives in Z26 for the following: -1000 -30 -1 15 2001…

A: For any number n, the representative in Z26 is (n mod 26)  So, representative for -1000 is = -1000…

Q: g) Your guarantee is good only if you bought your CD player less than 90 days ago. i) h) Jan will go…

A: Q.25

Q: Use a graphing calculator or computer to find the production matrix X, given the following…

A: Solution :  To find production Matrix

Q: PLEASE DO THIS TYPEWRITTEN ONLY FOR UPVOTING AND SKIP THIS IF YOU ALREADY DID THIS. THANK YOU MONEY…

A: The piecewise function representing the given scenario is: fx=95            ,   if x≤1500110…

Q: In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and…

A: Given system x1'=2x1+x2-x3x2'=-4x1-3x2-x3x3'=4x1+4x2+2x3 We can write it as…

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: 1. A set of integers are relatively prime to each other if there is no integer greater than 1 that…

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Q: f(x)=x² - 2x - 4.

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

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Q: Fill in the blank so that the resulting statement is true. The statement 3+3=6 serves as a/an The…

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Q: How many real solution the equation have? x^5+x=1

A: Sol:- Let's find the solution of the given equation:- x5+x=1x5+x-1=0Find one solution for x5+x-1=0…

Q: Suppose you have 3 people: Alice, Bob, and Carol. • Each person is Helpful or Unhelpful. • A Helpful…

A: We consider 3 cases.  Case - 1: Suppose Alice is unhelpful.  =&gt; Alice is lying =&gt; Bob is not…

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: Transform the below system into the simpler upper triangular form? a11x1 + a12x2 +. . .   + a1nxn =…

A: Given system is a11x1+a12x2+...+a1nxn=b1a21x1+a22x2+...+a2nxn=b2⋮an1x1+an2x2+...+annxn=bn Using…

Q: You are driving a car. The graph in the figure shows your distance D, in miles, from home as a…

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

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