A grain researcher is developing a new variety of wheat. They would like to know if the new strain has a higher yield than the current variety. The randomly select 20 individual acre plots on which to plant the wheat. The randomly assign the variety 11 plots and assign the current variety to 9 plots. The mean yield for the new variety is 53.9 bushels per acre with a standard deviation of 6.7 bushels. The mean yield for the current variety is t with a standard deviation bushels per acre a. Determine the value of the pooled standard deviation, around answer to two decimal places b. Determine the value of the test statistic t-(Round your answet to 2 decimal places)

Q: The product of2r - 3 and x +4 can be expressed as A) 2r2 +x - 12 C). 2r2- 12. D 2r2 + 5x - 12 B)…

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Q: Determine yu – 4uzy + a?uzz + 3u = 0 %3D the type of the PDE

A: We will check whether given PDE is hyperbolic, elliptic or parabolic.

Q: 2+3

A: Given,        2+3jyx-j=2j

Q: 1. (D² – D – 2) y = 30

A: Using auxiliary equation than pi  y=c.f + p.I   General solution

Q: 12 K M 16 J

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Q: Find a x b, and c* (a x b) a = 2i + 3j - k, b= -1 + 4j + 5k, c = 2i + 3j + 4k Show all steps

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Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: Let u (1, 0 -2) and v3,2. 4). Compute 2u + v. O (4. 2. 2) O (5.2.0) O (6.5. 0)

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Q: 2j (5-j3) B) Given that (2a+ jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

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Q: If x* + x²y² + y+ = 21 and x² + xy +y² = 7, then the value of (

A:

Q: Q5 1 Find proj; (w) where w= and v = 2 -2 3

A: Solution:Given     w=10-2     and     v=123To find:projvwFormula:projvw=P wwhere P=v vTvT v

Q: None In|V3t ++ c 5+x2 In V5+x2 V5 5. In 5+x3 00 In 5+x

A: The solution is given below :

Q: Evaluate SA=_dx where A = x ² + 8x-3 and B=x²+3x²

A: To evaluate the following integral.

Q: Evaluate for: x = -2, y = 4, and z = 16 * J16 - (y +x)? |-2| 6. -14 O 2 18

A: To solve the given expression with  x =- 2, y = 4 And z = 16

Q: 8+t +6t -12t3 dt. 1. Evaluate 3t² +4)(+7

A:

Q: x³ + 27 dx . x+3 Evaluate x3 +9x + C 3 x3 3 +žx²+9x+C 3 x3 + x² – 9x + C 3 2 x3 3 x² + 9x+C 2 3

A: We know that, The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: E[2A+ 3B + C – E + 2D] |

A:

Q: t- 2 dt t2+3t-18

A:

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: inn (Q4) = D4 OZ2 O Z2 Z4

A: we have to solve given problem:

Q: s'-4S+5)². ±+ S 9 - 2.

A:

Q: w+5 -dw w - 6w+10

A: A detailed solution is given below

Q: Perform the indicated operation. (2 – j) (-3+ j2) (5 – j4)

A: The product of a+b and c+d can be represented as:a+bc+d=ac+bc+ad+bd. We know that j2=-1 or j=-1.

Q: dy √e²y-1 S

A:

Q: Find d²v dt² v=3t² +7t+9 d²v dt² कर U- -

A:

Q: 6. 3 3 Let A= -4 1 and C= -5 0 3 -2 -1 Find A+ C.

A:

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In…

A:

Q: dz (e2z – 1)2

A:

Q: Q3- If A = 4i + 2j – 3k , B = 5i + 2j – k Find |A X B|

A:

Q: 1 25. L-I s + 5s

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

Q: L-1 | 53 5 = 3s +1 3 – s2 + s - 1

A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…

Q: 2j(5-j3) (2+j)(1+j4) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b.

A: Given (2a+jb)+(b-j3a)=2j(5-j3)(2+j)(1+j4) Here we know  j2=-1 So we can write the above equation as…

Q: 42 x2 dx =. V(73 + 14) 42 / (x3 + 14)+ C V 28 V (x3 + 14) + C 14 (x3 + 14) + C 84 / (x3 + 14) + C

A: From the basic integration

Q: 30° s V12 : 2/2

A: Right angled Triangle in which hypotenuse is √6 Adjacent edge is y with angle 30° Opposite side = x…

Q: v+ n² = 0 v-n² = 0

A:

Q: V3 E Q(V2). True False

A:

Q: xp- A 3 X - 2ln (x²) + C + In (x²) + C D +C + B.

A: Given query is to find the value of the integral.