Find the area of the largest rectangle with one corner at the origin, the opposite corner in the first quadrant on the graph of the parabola f(x)=972-4x^2, and sides parallel to the axes. The maximum possible area is

Q: 5. A. 6. A. 9 If sin x=(sin- A 6 When then X= 5 л 1.54 л B. C. 6 6' 6 the remainder is x³-x²+2x+1 is…

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Q: 7. For the following function : 4 o<t<i ..f. (.t.)..= -{" [² 1<t <2 a. Find the complex Fourier…

A: Answer 2 is different, -sign will appear in front of sin terms

Q: 5x₁2x₂ + 3x = -1 -3x₁ + 9x₂ + x₂ = 2 2x₁-x₂7x₁ = 3 a) Apply the Jacobi method to solve the above…

A: Note : As per our policy, we are allowed to answer only first two part of question kindly post…

Q: 1. Evaluate the given integral Q. Q - If yza² dy dz dr 0 0 0

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 1. Evaluate the given integral Q. -L LL²³ 3x 0 Q (2x - 2) dz dy dx

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Q: d) Ay" + By' + C 0 + a‡⁰ e) Ay" - By' - F :0 f) Ay" y' + C= 0

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Q: IV1 ns of and UJ. Find a unit vector that has the same direction as a. u = 8i - j + k 6. v = [−2, 1,…

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Q: 2s (s² + 1)² 3) Find L¹ 40 by using the convolution theorem.

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Q: a) What are the points you'll choose to find f(3.8) using cubic interpolation, and why? 51 of f12 91…

A: Follow the steps.

Q: Find the eigenvalues, and for each eigenvalue give a basis of the corresponding eigenspace. 1 1 1 -2…

A: We will use matlab to solve this question

Q: 6) There is a multiplicative inverse for (2x+3) in Z₁[x] because (ax+3b) (2x+3)=1 where A = and b =…

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Q: Solve the LP problem using Simplex Method Maximize = 2x₁ - x2 + 2x3 subject to: 2x1 + x2 < 10 x1 +…

A: First we will convert the problem into canonical form by adding slack variables s1 , s2 , s3 . Then…

Q: a) Solve the difference equation Yt-3Yt-1 = 0 given Y₁ = 2 b) Find the limit of the geometric series…

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Q: 1. Find the Laplace transforms of the following functions. a.) est e2t cos (3t) + sin (3t) - b.) 2…

A: This question from laplace transform

Q: 13. 14. the area of an 9.5 by 15 inch sheet of paper in cm^2 The displacement volume of an…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 8. Determine whether the series converge (a) k+5 Ση (b) k=1 1+2k+k² 1+ 3k + k²

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Q: 3) Given a commutative ring with unity 1 in R; where R is a ring with two maximal ideals M₁ and Show…

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Q: 3. (a) (b) (c) (d) Consider the function f(x)=(2x−6)(x−1) x²-1 Find the asymptotes of y=f(x). State…

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Q: Question 11 Let u (-3, 1) and v= (4,2). Find the value a in each of the following such that u + av…

A: Given ,u=-3i + j   ,  v = 4i+2j⇒u + av = -3i + j + a4i+2j⇒u + av = 4a-3i +2a+1j

Q: 2 xcos (nx) dx + f (π- x)(cos(nx)) dx 2

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Q: 1. Evaluate the given integral Q. 2:-1 2 = ²₁ ²2 (3y - xz) dx dy dz 0 Your answer 2. Give the…

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

Q: Rita has the following quasilinear utility function: U(q1,92) = q10.4+q2. Suppose that the price of…

A:

Q: 910 91051 20129 910510129 D= 2017 91051 D d₁ 029105 0 d 291050) 0129105 91051 20129 051 20129…

A: Follow the steps below.

Q: Using Microsoft Excel, find the positive root of the equation 4x = ex using Regula Falsi method and…

A: As per the information we solve this using excel Hence option A)0.3574 is correct

Q: The growth of a population follows the equation N' (t) = (3-4t) N (t), where N is the number of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Suppose (n; : 1<i<k) is a sequence o pairwise coprime. Let N = n1n2...nk. L of arbitrary integers.…

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Q: Consider the function of two variables F(x, y) = − 2 x² – xy – 2y². ´+z+y.

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Q: Is every autonomous ODE separable? Justify your answer.

A: A machine of everyday differential equations that doesn't explicitly rely upon the unbiased variable…

Q: 100 000 61 383 52 279 Find the unknown number in between 45 000

A: let the missing numbers be denoted by a and b. let us find them as follows.

Q: (a) LEEDS1060 What is the elementary matrix corresponding to the row operation 10 R₂ → R₂ +3R3 on a…

A: This is a question of Linear Algebra, Linear Transformation.

Q: Ising Excel, find the positive root of the equation x² - 4x-9=0 using Regula Falsi method and…

A:

Q: 20.

A: As per guidelines we are supposed to answer only one question. Here question 20) answered.

Q: Express the integral ∫∫∫E f(x, y, z) dV as an iterated integral in six different ways, where E is…

A: We can solve this using given information

Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w=bs 1, 6 lg are in the Same Plane

A: We have given that the vectors ,  u = 4 , -5 , 3  ,  v = -2 , 0 , -5  ,  w = b , -1 , 6 We know that…

Q: Let Z be the set of integers and R be the relation on Z x Z defined by: Then R is (a,x)R(b, y) if…

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Q: d the Laplace transform of the following: 1. f(t) = (14t) - 3e-7t cos(8t) - (2t - 6)²

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Q: Q/ Bernoulli Differential Equations (1+x)(X + y²) - Y=0

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Q: Q.IB) Show: MEX sin dydx sin

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Q: a. Let Q = 4x + 6x₁x₂ + 3x² + 2x3 + x² + 4x1X3 + 2X1X4 + 4X2X3 + 2X₂X4 + 2X3X4 i. Find a symmetric…

A: Please check the next step for details

Q: Show that lam 2

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Q: Find (s+2)e -AS 2 s² +2s+4 4{}

A: Properties of inverse Laplace transfomation…

Q: Use mathematical induction to show the following. n 2(Vn+1-1) < Σ <2Vn+1 √i i=1

A: Introduction: Mathematical induction is a sort of mathematical proof. It is in general used to…

Q: Calculate the derivative dy for the parametric equation x=t7+t³+ln(5t + 1), y = e4t²_ +t6 giving…

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Q: 3. If x= log2, y=log,3, then log, 108= A. Cannot be B. x²y³ C. D. 2x+3 6 xy determined 4. The figure…

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Q: Question 2: 9 ma an Example for each of the following ( a) Two non-trivial idempotent elements in…

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Q: Use mathematical induction to show the following. n 2(Vn+1-1) < < Σ Σ <2Vn+1 i=1 Vi

A: Given: 2n+1-1&lt;∑i=1n1i&lt;2n+1 To find: Solution

Q: у ху = X Sin x

A: