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Q: 4. C(x-xxx

A: 4. ∫-342x5-3x4+4x3dx Note:    Multiple questions are given, we are answer only one question. If you…

Q: 14. dr/dt = -2tr, r(0) = ro

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

Q: √√53-25² +5 ds

A: Given

Q: 2 6in. 10in E Zin. -

A: find the area of region

Q: 1-х 3 c) y = xx

A:

Q: - 25х-1 dt 2*

A: Consider ∫25x-12xdx = ∫25x 2-12xdx= ∫25x-x2dx= 12∫24xdx                                     (1) Let…

Q: In Exercises 1–6, solve for x.

A:

Q: 1 (8, 3); y = -ニx+7

A:

Q: 1) y=-2+ 2cos 0 27 3n 1/24

A: The given function,     y=-2+2cos θ

Q: -47-13

A: To find-47-13

Q: Evalaate X-5 de x-2

A:

Q: -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 a) x-525 b) x-5 5

A:

Q: 19. x = (y + 2)³/2, 0 s y s 4

A:

Q: 0号 Inx= 3メ-23 2-2y 2) ③ -メ-+リーツ

A:

Q: 17.) y = -x+1 -5 -4 -3 -2. 1 -5-4-3 -2 -1 1 2 3 4 5 2 3. -4 -5

A:

Q: 2 3. w'etw dw -1

A:

Q: -10 S- + 8$ +29 (28-35- 3) ?

A:

Q: 22. 2e' dt 2t

A:

Q: z = 4.1 yo + 85 Re ( z ) =| Soy (z) =

A: Given, z = 4.1i + 85, we have to find the real part and imaginary part of this real number.

Q: 4-¹ {√ 5. L- -48 se (3s + 2)(s - 2)

A:

Q: 6 ax %3D = a16

A: NOTE: Refresh your page if you can't see any equations. . here we can write

Q: 15. 423-922 + 72 +3)e- dz

A:

Q: | In (x²- 2x-8) dx 5. ら

A: Explanation of the answer is as follows

Q: 2. 24y-Se.99 3by S-15.27 S Sy-4S.11

A: Step:-1 Part (2):- Given system is 2x-4y-5z=8.993x+6y+5z=-15.275x+5y-4z=5.11 Method:- Jacobi…

Q: 4 (3¢+6 ltisasolutie he Sisferrentiat e7uation Xo

A: Differential equation:- xy'+y+x4y4ex=0 Prove that:- y-3=x3 (3ex+c) Where y is not equal to 0

Q: 44. 5x + x2 S 15 X1 + x2 s7 X1, X2 2 ()

A: There are two inequalities in i-system. Hence we will introduce two slack variables, s1 and s2.…

Q: 6 (1– e-nS) s2 + 9

A: Solution :

Q: 23. А - В + С

A: Given,         A=1-1002-1 , B=30-15-11 , C=x1wzr4

Q: 16. z-313 = 176

A: 16) The given equation is z-313=176.

Q: 20 -

A:

Q: -95 dt †2

A:

Q: |s+Vs-e-s ds s2 + 1

A: Formulae used: ∫xndx=xn+1n+1+C∫exdx=ex+C∫xdx=2x323+C∫1xdx=lnx+C

Q: 4 21 dT Evaluate: L. 24 24 s(s + 2)' s(s – 2) 24 24 (s – 2) s° (s – 2)

A:

Q: 1 , Evaluate (i) L-1 (s2 + 1) (s + 9)

A:

Q: 5x + 1 If y 2x-1 - In 7' then y' will be II

A: y=5x+12x-1-ln(7) In this we have to find differentiation of y. We know, ddxuv=vddxu-uddxvv2

Q: Verify.

A:

Q: Find dy/dx

A: Here we use fundamental theorem of calculus, in which to find the derivative of a definite integral…

Q: (*+7X-1) the f1) - -Sz+4) If fo- is undefined

A: Here first of all we find factors of denominator which is ( X - 1) ( X - 4)

Q: 17. 3e* = 10

A: 17. Given equation is : 3ex=10 (a) To find the exact solution of the exponential equation in terms…

Q: 17.5(1 + t²) = 4ty(y³ − 1)

A: The given equation is: 51+t2dydt=4tyy3-1 Solve the given differential equation.

Q: le 10- 5- 0- -5- -10- .... OC. OD. 10- 10-

A: We have to choose the correct answer from the given options according to the given information and…

Q: -3/5 1/6 1/6 (12x+5)1) (12)(5x-7)"5–2/5 (5x-7) **(5)(12x+5)' [(5x-7)251

A: Given:1/612x+5-5/6125x-72/5-2/55x-7-3/5512x+51/65x-72/52

Q: 21 27 :-3 x -

A:

Q: (5, 4) 4- XR=y+1 X (-1, –2) -2

A: Setting the integral to find the area of the curve.

Q: у" — 2у' + у 3 et x5 when y(0)=1; y'(0)=2

A:

Q: 2 뜸 뜸 22 dy O 1-2- 22 = 20 0 x fe 100 1

A:

Q: If y = -x-4/3, what is 4 321/3 -1/3 01- 45 3-76 4 32-7/3 dy 2

A: y=-x-43

Q: 2 Г Ау2 - 7у - 12 dy л УСу + 2)(у — 3)

A: we have to find the integral

Q: 2. 4s+32 s²-16

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.