True error is defined as O )Present Approximation - Previous Approximation True Value - Approximate Value O abs (True Value - Approximate Value) O abs (Present Approximation - Previous Approximation)

Q: Integrate f(x) = 0.5 +20x+3x+ from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation

A: Simpson's 3/8 rule is the method of approximation of a definite integral where we evaluate the…

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: q(x)=−3(x+3)2 The function above satisfies the conditions for the Mean Value Theorem on the interval…

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Q: What is the amount of premium/discount for a bond with a face value of $100 000 and a bond rate of…

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Q: Find the absolute maximum and minimum values of f(x, y) = 4(x - x²) sin(ny) on the rectangle 0 ≤ x…

A: As per the policy, we are solving first question. Please repost the question and specify which…

Q: Find the digital roots of the following numbers. Remember, each answer should be a single digit…

A: Find the digital roots of the following numbers: a. 1200000000102300401 b. 6070600600002001 c.…

Q: Question 3 Consider M = R² with the metric di(u, v) = |x-a|+|y-b for u = (x, y) = R², v = (a, b) =…

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Q: Construct a formal proof of validity of the argument. ~p (~pv~o) → ~(~ n) ~ m → (o → ~ n) m → ~n ::…

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Q: prove that 1 Ə div A; = {√g grk Ak} = div A¹, Əx* where A; and Ai are the covariant and…

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Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: Explanation of the answer is as follows

Q: The dual of a linear programming problem have a finite optimal solution, then the p no solution…

A: The solution of primal depend upon the solution of dual and vice versa

Q: Using the Inverse Function Theorem, what is (-1) (8) given that f(x)=√6x-2? Note that (11) = 8. (Do…

A: The given function is  t(x) =6x-2  And we are asking to find (t-1)'(8) , to find this first we will…

Q: 19 Min Z= 2X1+3X2 S.t: X1 ≥ 125 X1+X2 ≥ 350 2X1+X2 ≤600 X1. X2 > 0 Using the simplex method, In the…

A: We have to use the simplex method to find the table of optimal solution. First we have to convert…

Q: If a set of data has a mean of 50 and a standard deviation of 4.5, what is the z-score for a value…

A: If a set of data has a mean of 50 and the standard deviation of 4.5. We have to find the z-score for…

Q: Integrate f(x) = 0.5 + 20x + 3x4 from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation

A: Introduction: Simpson's 3/8 rule is the method to approximate a definite integral numerically. When…

Q: (2) Area of Triangle A=11* Of Triangle formed by V' and W in es =√6 A (11012) BC21014) ((|12₁k)|…

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Q: From deck of 52 playing cards, 2 cards are randomly selected without replacement. Let D₁ = the event…

A: According to our guidelines, we can solve 3 subparts only. I solve part a , b and c .

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: 17. x' = -0.25x -0.75y+8, y' = 0.5x+y-11.5

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Q: 22. 2u" +0.5u' + 8u = 6 sin 2t

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Q: k Let n = II p, be a factorization of n into distinct primes P1, Pk. i=1 1 p(n) = n(1 - ²) (1 - ¹)…

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Q: The value of A™ or h in Simpson's Rule is b-a O (b-a) n b-a

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Q: 2 Find the point on the sphere x² + y² + z² = 16 farthest from the point (-1,-1,1). The point is…

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Q: In Gaussian elimination procedure, constants which is augmented for first time with second s are…

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Q: Let 21 = 2(cos(267) + sin(267)) and 22 = 18 (cos(60) + i sin (60°)). Compute each of the following…

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Q: Construct a graph with vertices R, S, T, U, V that has an Euler circuit and the degree of T is 4.…

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Q: -16x(2-x)(8+x) For some function f: R - {2} → R we have that f'(x)= = , All the values 6x-12 of x in…

A: Use the following concepts to obtain the solution. The slope of a horizontal line is zero. The…

Q: The region bounded by y = √x, y = 2, x = 0 about a. the x-axis b. the y-axis c. the line x = 4 d.…

A: From the above details we have,

Q: Use Laplace transformation to solve the differential equation: y(0) = 1 and y'(0) = -3 y" + 3y'-10y…

A: Use the following formulae, to obtain the solution.…

Q: 6. Find parametric equations for the tangent line to the curve z-int, y = 2√t, z = ² at (0,2,1).

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Q: determine a cubic approximation centered on the origin of the result of the following double…

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Q: The following differential equation (dad + 1)² has a degree of O 2 O 0 O 1 + 2² dy sin c

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Q: d²y dy +4 dx² + 4y = 0, when x = 0, y = 1, y' = -1 dx

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Q: Consider the improper intervals I, = S- -1 Ol₁ is divergent but l2 is convergent Both 1₁ and 1₂ are…

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Q: State and prove the first isomorphism theorem of Ring Homomorphism. Using it show that is prime but…

A: We know the definition of ring homomorphism ,  Let R and S be rings. Consider ϕ : R → S be a…

Q: Simpson's 3/8 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 2nd…

A: I have given the answer in the next step. Hope you understand that

Q: If F admits continuous partial derivatives and the equation F (3x − y, z² — x²) = 0 - - defines to z…

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Q: Find a vector equation of the line that passes through A(5,-4) and B(1,-1)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Use appropriate substitution to solve the differential equation dy 2x + y - 2+ dx 1 4x + 2y > y =…

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Q: 2. Algebraic Inverses a) Find the inverse f(x) = x² - 4. b) Is the inverse a function? c) Graph the…

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Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

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Q: Q.1) Find area of the f(x)= x³ the x=1 region x-axis & the vertical lines (1.1) Os shown in bg.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: -3 the values of the minors of the elements of first row are respectively 2 No answer text provided.…

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Q: Solve the given initial value problem using the method of Laplace transforms. y" + 4y' + 3y =…

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Q: Find the mass of a thin funnel in the shape of a cone z = √x² + y2, 1 ≤ z ≤ 2 if its density…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Use a parameterization to find the flux The flux is (Type an exact answer, using x as needed. F-n de…

A: Given Field is F =xy i -z k then F = xy,  0,   -z cone  z = 6x2+y2,  0≤z≤6.

Q: Suppose z = x + iy and f(z) = z - 1. Find w = u + iv such that f(w) = 1 + 3i (A) 3+2i (B) 3-2i (C)…

A: We have given that , fz = z - 1 , where , z = x + iy Here , w = u + iv Let , fw = 1 + 3i We need to…

Q: Compute Euler's totient function (n) for n = 10000+1000m1 + 100m2 +10m3 +m4. m1 =3 m2=4 m3=2 m4=9…

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Q: Suppose A is the matrix for T: R3 R3 relative to the standard basis. Find the diagonal matrix A' for…

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