Evaluate the following integral ja-e* (e) Multiple application Simpson's 1/3 rule with n=4

Q: 3. Old McDonald has a farm with 30 chickens. The chickens comprise 60% of his farm, and the rest of ...

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Q: Find the determinant by row reduction to echelon form.

A: Given,          -5-55-6-55-235

Q: (1) (0) 2メー+3X+5 =D (b) -4 4 and jo 2 j13 (c) 442-5t+7 -D

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Q: Determine the differential equation of the family of lines which passes through the origin. dx a. (y...

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Q: 1. What is the derivative of f(x) x2 - 8x + 12 when you illustrate using tangent? dy/dx=2x+8 dy/dx=2...

A: Derivative of the function

Q: Suppose A is an n x n matrix. Select "yes" if the statement is always true, "no" if the statement is...

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Q: Given the argument: No dog is slimy. Cookie is a dog. Therefore, Cookie is not slimy. Write the lett...

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Q: Use the Gauss-Seidel method to find approximate solutions to -21 + 10x2 - 2x3 = -30 2x2 + 15r3 = 28 ...

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Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: This statement is false Is it true or false?

A: Given statement  This statement is false .

Q: Find the area of the plane z = 4x + 3y for all (r, y) E R where R is the region in the first quadran...

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Q: An electronics store sells two popular models of wireless headphones, model A and model B. The sales...

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Q: A pair of dice is rolled. let X be the sum of the number of dots onthe top faces. The table below sh...

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Q: I. Prove or disprove the following statement using the truth table. (p → ¬q) ^ (p →¬r) = ¬[p ^ (q V ...

A: The truth table of the ¬p, p∧q, p∨q,p→q p q ¬p p∧q p∨q p→q T T F T T T T F F F T F F T T F ...

Q: he Mediterrane. ow these stingra

A: Two shapes are said to be congruent when all the corresponding dimensions of the shapes are equal. T...

Q: Z3 = -3 - j4 Let: Z1 = 1-j³ Z2 = -2 + j5 Z4 = 1 + j6 %3D Solve: Z1 Z2 Z1 + Z2 Z1 Z2 a) c) Z4 Z1 b) 을...

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Q: Mary is playing a game where she flips a coin with probability of head = p. She wins $1 if the coins...

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Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

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Q: For -1<t<0, find y(t) given x(t) and h(t): x(t) 05 -05 05 15 25 35 h(t) 0.5 -05 0.5

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Q: I. Prove or disprove the following statement using the truth table. (p → ¬q) ^ (p → ¬r) = ¬[p ^ (q V...

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Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of la...

A: P(x,y)=96x34.y14 Labor cost =$144 Capital cost =$1875 cost =144x+1875y  

Q: What is the perimeter of the triangle? mm FRP | PRP

A: We will use basic knowledge of geometry and arithmetic to answer this question.

Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²= c(2...

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Q: . Using the definition of Riemann Integrability, show that f(x) = 4.x – 1 is in R[-1,2].

A: This is a problem of R-integrability.

Q: * Convert to atjb Form (e) 4230° (F) ㅋL-145° (9) 3L16°x5L-44°x 2L80° (m) 10 2 x 12 L (h) 니 -79 3 -7 ...

A: The given problem is to convert the given complex expressions of polar form to the rectangular form ...

Q: Given an input vector x = [ro, 1, 12]", and a function f : R³ → R? of the following form: %3D S (x) ...

A: Given: Input vector, x=x0,x1,x2T and a function f:ℝ3→ℝ2 defined by, fx=∑ixisinxi+2%3∑isinxicosxi+1%3...

Q: Directions: Find the equations given the derivatives. Encircle the letter of your answer. 1. Which o...

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Q: 15.96. Find eigenvalues and corresponding eigenvectors for the following matrix. -2 -9 -5 -10 7 -6- ...

A: Given: Let us consider the given matrix and determine eigenvalues and corresponding eigenvectors.-2-...

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 * O 0.412 O 0.211 O 0.189 O 0.316

A: Evaluate definite Integral

Q: 2. f(t) = 38(t) – 4u(t – 2) + 58(t – 5) + 2u(t – 3) %3D |

A: The given function is                                 f(t)=3δ(t)-4u(t-2)+5δ(t-5)+2u(t-3) To find the...

Q: 2. y" — у %3D 4 cost y(0) = 0 у'(0) %3D 1 %3D

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Q: Determine the general solutions of the following non homogenous linear equations. 6. (D3— D) у %3D х

A: We have to find the general solution of the non homogeneous linear equation D3-Dy=x .

Q: Prove that (1, 2) (1,(1), 2, 3).

A: We know, if A and B are two sets then, A is subset of B  if every element in A is also in B.  

Q: H.W. Consider that, we have the following linear system X1 - x2 +x3 = 2 3x1 2x1 + 5x2 + x3 = 1 + 3x,...

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Q: Write in listing or roster form. N = ( x|x is a positive integer and is a divisor of 18) Choices: ...

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Q: 47–50, determine whether S is a basis for P3. 48. S = {4t – 2, 5 + t², 5 + 3t, – 31² + 21³}

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Q: : Scot y dy

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Q: Determining Whether a Set Is a Basis In Exercises 47–50, determine whether S is a basis for P3. 48. ...

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Q: A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring - feet. ...

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Q: 2. If f e R[a, b], show using the properties of Riemann Integrability that there exists M > 0 such t...

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Q: Q5:-Evaluate the following limits 3x-3x2+5x-9 1. lim, Tx 43x3

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Q: Problem 8. Use Newton's method to find the positive root of: (x+4)³ – e'.92r +5 cos = 9, 3 correct t...

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Q: Grace's garden is shown below.  She needs to buy bags of mulch to cover the garden.  What is the mea...

A: Measurement needed=Area of Triangle+Area of rectangle+area ofsemicircle=12×18×18+18×8+3.14×9×9=162+1...

Q: 2. Consider the vectors [2, 1,0, 0], [3, 1, 0, 0], [0, 0,0, 1)] in R'. Find a vector v so that v, (2...

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Q: 6у" + 26у — 0, y(0) = 9, у (0) — 4.

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Q: Find the solution of exact differential equations Xy-1/x^2y. dx - 1/xy^2.dy3D0

A: The exact differential form of a differential equation is written as M·dx-N·dy=0 where ∂M∂y=∂N∂x.

Q: 17 3 sin x-4 coS X

A: Solution 17. Given integral is  ∫13sinx-4cosxdx. Now, 3sinx-4cosx=6 tanx21+tan2x2-4 1-tan2x21+tan2x2...

Q: The integrating factor to the linear differential equation x(x? +1)y' +2y = (x² +1)³is: x? a. x2 +1 ...

A: Divide the given differential equation by xx2+1 to write it in the standard form. y'+2xx2+1=x2+13xx2...

Q: Find the moment of inertia of the area bounded by the curve y^2 = 4x, the line y = 4, the y-axis on ...

A: Moment of Inertia about x-axis

Q: Profession Percent who voted | Percent in each profession Professional 84 12 White collar 73 24 Blue...

A: let professional , white collar , blue collar , unskilled , farmer and housewife are represented by ...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.