A 24 factorial design (with factors A, B, C, D) is to be conducted in four blocks. Divide these 24 runs into 4 blocks so that the main effects are not confounded with blocks. In your blocking design, which effects are confounded with the blocks?

Q: Evaluate: Ssin(/x)dx A 2x sin(/x)-2cos(Vx)+C B 2/x sin(x)+2cos(x)+C 2sin(x)+2/xcos(/x)+ C D…

A: Using substitution and integration by parts,

Q: 1. y = 5sin 3x*

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos°(x) for x = 0.213 and y =…

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Q: 32) Use the scalar triple product to determine whether the points A(1, 3, 2),  B(3, -1, 6),  C(5, 2,…

A: This question is related to Vectors, we will solve it using given information.

Q: sin x e" dx Cos x

A: Given:       ∫sinxcosxex dx       =∫tanx exdx Integration by parts Formula:       ∫u dv=uv-∫v du

Q: 3. For f(x) = rV9-x, find a). domain, b). f', the intervals on which f is increasing or decreasing;…

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Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb.…

A: from the resultant 102 = 52 + 82 + 2(8)(5)cosx 100 -25 -64 = 80cosx cosx = 11/80 cosx = 0.1375 x =…

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: (2x – y)dx + (4x + y – 6)dy = 0 -

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Q: (1+ ye" + xye²)dx + (xe² + 2)dy = 0 C = xye – 2Y – x None of the choices Option 4 C = xye" + 2y – x…

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Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

A: Given function f(x)=x    if  x<18    if  x=12-x2  if  1<x≤2x-1   if   x>2

Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

Q: Let F(x)= f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value of…

A: Explanation of the answer is as follows

Q: Find the relative maximum /minimum values of the function x-2 f(x) = x+2 %3D State where the…

A: Given problem:- Find the relative maximum / minimum values of the function   f(x) = (x - 2)/(x + 2)…

Q: From a ship, the angle of elevation of a point A at the top of a cliff is 210. After the ship has…

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Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 o Sl-P-2u - )du Match the integral expression on…

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Q: farmer has 150 m of fencing available to enclose a rectangular area along ne enclosed area will also…

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Q: en magnitude and the same direction as u. tion -8, 6, 4)

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Q: dy dr (1+x)y = xy²

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Q: sin x e dx Co x

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Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

A: Given query is to find the solution of the differential equation.

Q: the length of a parametric curve: x = 2t + 1 ; y = t2 - 3 ;  0 < t < 5

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Q: Please Solue tollowcing parts by using synthic division O3x²-172+15x -25)÷(x-5) 14x -9x+8x - 18) =…

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Q: ९ -ज 2/37Find A if A by using invers ومكمواط अ 3. ww.

A: A=23-41233-1-1A=2 23-1-1 -3133-1 -4123-1     =2(-2+3)-3(-1-9)-4(-1-6)     =2+30+28A=60 ≠0A-1 =1A adj…

Q: 2л E. Given v of magnitude 200 and direction , and w of magnitude 150 and direction 3 find v+w. 6

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Q: Find the arclength of the curve: y = 5(x+2)3/2  ;  2 < x < 7

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude ||v|| = 8…

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Q: The coefficient of sin(x) in the antiderivative of Flx)=(cos() is 15/32 (use fraction form not…

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Q: Find the unit vector of n = (4,-3) .

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9999…

A: I am attaching image so that you understand each and every step.

Q: Use the formula for arc length and the equation x2 + y2 = R2 to derive the formula for the…

A: Use the formula for arc length and the equation x2 + y2 = R2to derive the formula for the…

Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: Directions: Use the Rules of Differentiation to differentiate the following functions. Simplify, if…

A: Solution :1. gx=2x3+6x-2g'x=6x2+6g'x=6x2+1

Q: - x cot 2y × CsC 2り Csc zy %3D dy

A: Integrating factor of the ODE of the form, dydx+y*f(x)=g(x) is given by, I.F= e∫f(x)dx ∫cot(mx)dx…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find the x component and y component of each vector and then add them.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Nhich of the following p-series are divergent? 00 ロと-4 S ロEsk-品 Σ 6666 10000 k38 ロと-7 1 k=7 ロEk…

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Q: representing all lines passing thru (-1,1)

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Q: 2. Verify that the given function u=e* sin y is harmonic and then find a harmonic conjugate of u.…

A: For function to be harmonic, del^2(U) = 0.

Q: 3.S(1 + e2x)5e2x dx

A: Note: As per the company policy we are supposed to solve only one question, so kindly repost…

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: The Volume of a Parallelepiped Formula  =|(a×b)⋅c|

Q: HwE valuete xg JA ,Rvis ,enclosed between y= JA , R xis 8 Xig=/X 2 » X= 2 and X= 49 11 12 し

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Q: - (1+æ)y = xy?

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Q: Use Forward and Backward differentiation to calculate f' (1) as accurately as you can. Let h = 0.08…

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Q: show

A: We will find the value of c.

Q: Use the alternative form of the dot product to find u· v. ||u|| = 45, ||v || = 20, and the angle…

A: This is a problem related to vector calculation. Based on the general formula we will answer the…

Q: Find the Taylor series generated by f at x = a. f(x) =, 1 a = 6 (- 1)"(n+ 1)(x – 6)" Q A. 2

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