3. lim 7-t -2 七や3 4-t~1 ゼ

Q: :). -5 -3 -7 1 17 - 70 -5 9. 10 35 -5

A:

Q: 13) y"+7y'+12y = 21e", y(0) = 3.5. y'(0) = -10.

A:

Q: |-2 5 3 3- Find A-1 ifA = |-4 3 6 1 ol

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

Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. u.) 4

A: The region bounded by the curves y=x3, y=x+6 & 2y+2=0 is:

Q: Replace R, by Ry +(-7)R,. 19 -9-5 6. 7 8 -8 1 R2(-7)R, = 000 3.

A: See the solution below.

Q: 8. Svay y3 y²dy 2-

A: We have ∫y2dy2-y3

Q: 21) y" – 2y' +10y = 0, y(0) = 3, y'(0) = 3.

A:

Q: 7. 16y" – 8y' + y = 0, y(0) = -4, y'(0) = 3

A:

Q: (b): Evaluate: SS (16t³ – 12t² + 5)dt

A:

Q: 4 The simplest form of x.y y II

A: We have to say that the given simplified form of expression is true or false: x3·y45x5·y-15=xy We…

Q: 1 (8, 3); y = -ニx+7

A:

Q: (5) ary (6) 4ry" +y = 0 (7) y" + ry + 4y = 0; y(1) = 1.(1) = 4 (8) " - Sry + 13y = 0

A:

Q: Graph the functions

A:

Q: lim (1,y) (3,9) O 15 O 12 0 9 0 6

A: Let L=lim(x, y)→(3, 9)x2+xy-2yx-y

Q: x=y²,x=4 12 10.67 12.67 14

A:

Q: Calculate        a) 13/5x  (3/4) ÷ (4/5 – ½) =

A:

Q: -1 21.5. So dz 3.

A:

Q: 13 3< 4p – 5< 15 -

A:

Q: Ay 5-43-2-1 2 $ 4 -2

A: Topic:-  equation of line

Q: 11. 12. 13. -3 3 -3F -1F 15. 16. 17. y4

A: topic - functions and their graphs

Q: Evaluate 3s – 5 - L-1 [(s – 5)(s + 2)²] |

A:

Q: Ay 10 -10 - 2т

A: Graph of  function is

Q: /- wiite ay 2. -5

A:

Q: E Fx=0 4P 122 - 20 = O 5 13 3P + 80 = 0 -(2) 5 13

A: 4P/5 -12Q/13 - 20 = 0     ............(1) 3P/5 -5Q/13 + 80 = 0      .............(2) multiply…

Q: ((-2, 1) = 3 NWAGO 5- 4+ 3 2- 1+ -6-5-4-3-2-1₁ 0 1 2 3 4 5 1 +2+ -3+ 4 L

A:

Q: 1 1 (c) 1 1 1 Lo 0 1 32 2 1 -2,

A:

Q: 18 || 3 -6 -12 0 and y= -107 -4 -11 9

A:

Q: The topic of total derivation

A:

Q: 19) 4a2 - 23a + 28

A:

Q: 5. +y=ye-² (ve-²) ³ Ans: - e* = ce³x

A: Let us solve the given Ordinary Differential Equation in the next steps.

Q: 3. z = 14.745°49' 4. z = -3 cis 310° 5. z = 5ein

A:

Q: Determine ¹ I 5s +1 s²-s-12)

A:

Q: - x + 20 y + z = 21 – x – 2y + 100 z = 300 10 x + y + z = 24

A:

Q: -4 = 1 -15 15 O d -9

A:

Q: (c) (4, -77/6) (x, y) = y y 1 2 3 4 5 6 7 3 -1 2 -2 -3 0-7 -6 -5 -4 -3 -2 -1 y 2 4 8 -1 5 -3 3 2. 9,

A: Given : (4, -7π/6).

Q: 27 If x = - then x-2/3 4' (?) %D

A: Given  x = -274 We have to find  x-2/3.

Q: S (3×412メ -15)2 2dx

A: The integral is solved as follows :

Q: а) In(x) — 3(Vinx) + 2 — 0 b) 25% – 8(5*) = -16

A: lnx-3lnx+2=0

Q: 21. x2/?. 22. (7x )3/4 2:3. (10 a?)/2 24. n-4/2 25.(5 y)/3

A:

Q: -3 -2 -4 -5+ t-5+ 5- 5- 4 -5 -4 -3 -5 -4 -3 -2 -51 5- 5- -5 -4 -3 -5 -4 -3 -2 -4 -5+ to 4o on 2.

A: From the definition of the function, for every input(x), there must not be more than one…

Q: 11. y′′+8y′−9y=0,y(1)=1,y′(1)=0

A: Given: y''+8y'-9y=0 ,y1=1, y'1=0

Q: AY 42 -12-10-8-6-4 2 2 -5,-9)

A: Consider the graph

Q: 2-1 Se s s + 10s +26 2 S (t)=

A: We need to find the inverse Laplace of the function se-ss2+10s+26 We know the following formulas for…

Q: 1 b. s2+4s+9

A:

Q: 26. 2(0.1)5 + 2(0.1)6 + -…- +2(0.1)13

A: To Find: Sum of-       2(0.1)5+2(0.1)6+ .... + 2(0.1)13     NOTE :For r≠1, the sum of the first n+1…

Q: 22 b) Sfe dxdy 0 y

A: Given : Double integral is given.

Q: 1 O y = - I+2 O y = +3 20 O y = - 2-9 Oy=

A: Topic:- function

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.