13. (4a). 14. (3xy)?. (-4x³y²) 15. (4a b c³ 12x4244 E-X, P6 PE 6a b? 32xy 16. 17. 344 |--9 a=4 18. 4ab -8xyz 26 PE

Q: 8. Simplify. 2 a) istooon sdt of b) m (2b\² c) d² 5c e) (ab)? f) (n²m)³ h) (xy-1)3 g) (&d²)-4

A:

Q: How can you say that S (x² + 5x + C) dx = 3x + 5 is incorrect?

A: Given problem:-

Q: 3s2 – 4 (3) Is it true that L{(e' – e ')²} = %3D s(s² – 4)

A: To answer the question we shall find the Laplace transform by using the table of Laplace transforms.

Q: Q: Find the middle term af the fo llowing (5x-1y)5 10 シャ 2.

A: 2x+x210 use binomial theorem a+bn=∑i=0nnian-ibi 2x+x210=∑i=01010i2x10-ix2i to find the middle term…

Q: Evaluate the integrals

A: Given: 3. ∫2y dyy2-254. ∫8r dr4r2-5 To Find: To evaluate the given integrals.

Q: Fina 十he by Us n CXS= Yこ fC

A:

Q: dy Suppose ax 3 and y( ) = 2. 1+9x2 3 T What is y( 4 )? Оп O 2.261 O 2 IT 4

A: See below the answer and calculation

Q: dy If dæ 4x³ + 3x? + 6x and y = -3 when x 1, fınd y. |3D

A:

Q: The reverse order of 6 k 3xe" dydx is equal to 2 2(e - 1) O e - 2 O -e

A: Given: I=∫02∫x213xey3dydx The region bounded by the curves y=x2, y=1 from x=0 to x=2

Q: Зах-п 5. 5. = -4 for x 6 by+2 3DC for y 7. at + b = ar - c for a

A:

Q: 13x-6 73,82 143 3F 17. If mZLMP = (5x- 19)° and m. %3D | L. P

A: Given,m∠LMP = (5x-19)°and  m∠LNP=(2x+11)°we have to find mPL^

Q: O A y = -s – 1)? y = -412 + 1 y=D -쇼z2 + 1 O D. y Oc. |

A: Here we have to find the equation of parabola.

Q: If z33x2 -4хy+6х, find дудх A) В 6х-12ху? +6 © -12y2 D none of the given choices E 6x-4y3+6

A:

Q: dy =2x – 3 dr Suppose and y=2 when *=3. What is the value of y when *=4?

A:

Q: - Select all that apply. A 3 (16a - 72a² + 81) B 3 (4x - 9)* C 3 (4a+ 9) (4x – 9) - D 3 (2x-3) (2x…

A:

Q: Next C nd he mat AD, II 3 A = 4 -2 B = 0. 0-2 4 ..... O A. 0 4 Ов. -8 16 0 36 -8 Oc. -8 -18 OD. - 18…

A: Matrix multiplication

Q: 2 If V25x - 3 = 7, then x = ? 2 F 16 25 H. 2 52 - 25 K 4 .

A: Our Aim is to find the value of x if we have 25x -3=7 -(i)

Q: 4. (D² + 4D + 4)y = 0 5. (D³ – 4D² + 7D)y = 0 |

A:

Q: Haw it Veszy, 22,4x+77 ?,X? y?, ye> find (curt w)-v at (4,0,2) W=<3Z

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Q: 2. Evaluate ff12.x'y-y' dA where D= 3{(x,y)l-2sxs2,-r'sysx}

A: As per our guidelines we are supposed to answer only one question because there are multiple…

Q: dy If y = e5z+14 then- dr O 5e5z+14 O 70e5z+14 O 4e5z+14 14e5 14 O 6e5z1 14

A:

Q: d. Evaluate dr ((5x² + 10)e) at r = 2.

A: We will differentiate the given expression using the product rule and then put X equal to 2

Q: dy 4. x dr x³ – 2y, given x= 1 when x3 47 y = 3 - 3 15x2

A:

Q: 15. P = 0.0089 and P = 0.3050 (a) (b) -3 /-2 -1 z =-2.37 J2-1 1 2 -3 -2 -1 3. z =-0.51

A: The P values are 0.0089 and 0.3050.

Q: dy 4. х dr =x³ – 2y, given x =1 when 47 y=3 y3= - - 3 15x2

A:

Q: 13 =D It2 find nd the Va

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: 10. [D -14D +8]y=34e* + 23cos(3x)

A:

Q: C1oy +11) dy ty2-4y+5 10)

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Q: Find f - da . 3 -6x A. In|a + 6x| + C 42+24x В. 3a1+9? + C C. r + 2x +C D. In|a + 6x| +C O Option D…

A:

Q: Sufpade the pundeom Y= 4st -3-2 dabermadd the actul beme W he abifed in minebel fr 1 mend's that had…

A: For the function, y=f(x), the value of y is calculated by substituting the value of x in the…

Q: (x – 1) (x – 2) = 12 ng a – 1 = 12, so x = 13, or æ – 2 = 12, so æ = 14. Is your friend correct?

A:

Q: 4r - 4s + 4t = -4 4r+s - 2t = 5 -3r – 3s – 41 =-16 Q11:

A: We will find out the required solution.

Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

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Q: Write equation for each ellipse.

A:

Q: What is the value of +3x-2z if x = 3, y=5, and z=4?| 3y 82 OC 18 OD 32

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Q: 3. 3r+ Sy - 2: = 52 4r+ 7y +a= SI -2r- 9y + Sa--53

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Q: -2 c3 4. Sí S S(6x? + 4y² – 12z²)dxdydz

A:

Q: (b) x²d²y dr2 dy + 16y = 0 + 9.x- dr

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 3y(y+7) Simplify (y+7)(v² – 9), under what conditions is this expression undefined?

A: Given a fraction : 3y(y+7)(y+7)(y2-9) We have to simplify it and also determine under what…

Q: 6. ARST AYSZ; find YZ 40 Y 2x + 2 R Зх - 7 T 15

A: Given data: ∆RST~∆YSZ The length of ST=40. The length of ZT=5. The length of YZ=2x+2 The length of…

Q: x2 + (3y ÷ 6) − z  when  x\ =\ 9x = 9, y\ =\ 8y = 8 and  z\ =\ 11z = 11

A: x2+(3y÷6)-zx=9 , y=8 , z=11

Q: 4) y = 3(n2x) +e(cscx²) + 4(sec-15x) (cac?r) 2)

A: I am providing the solution of question no. 4  The detailed solution is as follows below:

Q: Find y" for y = 5x +4 . 1 y"= - O A. 3 2 4 (5x2 + 4) 25х2 y"= . O B. 3 (5x2 + 4) 20 y" = Oc. 3 2…

A:

Q: 7) QE = 8 ES =-2 + 2x 8) AT= 12 R RT = 4x E (4 P S. R

A:

Q: 13. x² + y? + 16x + 10y – 55 = 0 14. x2 + y? -16x + 9y – 8 = 0

A:

Q: -48 36x y 6. 12y' ³ 53 - 4 pq°r 8. 8p q*r 2 210

A:

Q: A 33 are 4x4 Martrices, det(A)=-3 det(B) =5 a) de t(A = ニ detA b) def (AB) (-3)(5) = -15 Ò def GzB)=…

A:

Q: Find 2B

A: Given Matrices A and B - A = 1-3310-2B = -31225-3Question (c) - 2B = ?Rule to multiuply a number…

Q: S x 3y q 5x 2y 7

A:

Q: iv) If y=ax' -6x² +bx=4 has a point of inflection at (2, -2), what is the value of a+b?

A:

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.