9. If m/2 3x + 40 and mZ1 = x - 29, then a. m22 D %3D 1 b. mZ3 = 2. 3.

Q: Find the general solution of dy d²y 6- dx2 + 12- dx fip - 8y = 21e2 dx3

A: General solution

Q: 4. Solve the particular solution of y" + 3y' + 2y = 6e¬, y(0) = 1, y'(0) = 2, using a. Variation of…

A: we have given the differential equation y"+3y'+2y=6e-ty(0) = 1, y'(0) =2 we have to find the…

Q: 16 1. (a) zydy dz = pla+7)/2 (b) zydz dy (3y² + 3y)dy = 38 I-(y-5)/2

A: a) Given ∫02∫0x2xydydx The given integral write as…

Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: S( 7x3 – 5 vx +. 18 V +x-40 ) dx x3 10 2x³/2 + 12x³/2 - -394 C с 7 10 x³/2 + 12x¬³/2.1 x-39, C 39 39…

A: Given∫7x3-5x+18xx3+x-40dx=∫7x3dx-∫5xdx+∫18xx3dx+∫x-40dx∫7x3-5x+18xx3+x-40dx=7∫x3dx-5∫xdx+18∫x-52dx+∫…

Q: 5. Solve for x. S. 6. Find mZB. (9x + 2) (14x – 15) (5x - 4) 139° D. V 7. X- 36 mZM = N (&x - 16)°…

A:

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

A:

Q: [d] If xz = yz and z - 0 then x = y

A:

Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1<t0<t20       ;…

Q: In z dz z4 e

A:

Q: 3 '9-x2 3+V9-a2-y? 1 dz dy x² + y² x²+y² a C = L7I Fle,0,6) dp dộ do

A:

Q: 15 ven B = Find the components of -3 relative to B. 2

A:

Q: Integraate :S, 22+x+! d>x 2.

A:

Q: 5. Given that mz1 42°, mz2 = x2, mzC =D %3D K C E D

A:

Q: 11. (4+ t) dt 13. | – 5y) dy 15. (31² – 4t + 5) dt

A:

Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post…

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

A:

Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

A:

Q: value of c in the equation: dV/dt = -500 (t+1)-2, when  V=700and t=0 is

A: follow next step

Q: 9. If x2-xy + y2 = 3, find y' and y", %3D

A:

Q: 3. If z* +x²z+z+y = 0 find (1) Əz/ax, (2) əz/əy, (3) ²z/dx², (4) d²z/@y², (5) Fz/dxəy, and (6)…

A: As per our guidelines, I am only solving the first three. For other kindly upload the question…

Q: Find the most general antiderivative. | (7x3 - 3x + 2) dx A) 7x4 - 3x2 + 2x + C B) 21x2 - 3 +C C)…

A:

Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

A:

Q: 2 3 6 + k dt V4 – t2 4+ t2 |

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

Q: (4) (b) 10tsin(5t²- n/4)dt (4) (c) S 12(x³ + 2)ex¹+8x dx

A: We have to evaluate the integrals.

Q: 7. If y = e*², then d²y dx2 boins9 (A) (2x)(x² – 1)e*²-2 stod beniu (B) ex2 (C) 2xe*2 (D) (2 +…

A:

Q: .3 S(3 – e3*)²dx

A:

Q: S öz (vā - z°) dz =

A: indefinite integral

Q: _4. In evaluating: S(3x² – 4x + 2)*(3x – 2)dx, if u = 3x2 – 4x + 2, what is du? А. 6х —4 В. 6х dx C.…

A: As per guidelines we have to solve only three

Q: S(2 + e2*)³dx

A:

Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost…

Q: If s = 4/t - 3, then %3D ds dt

A:

Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: 9 2. If fS(x)dx= 37 and g(x)dx=16, = 16, find [2f(x)+3g(x) ]dx- %3D 0.

A:

Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

A:

Q: S(6 + 6y – y²) dy

A:

Q: 5 10-2z 12y – 8x dy dæ dz

A: To solve the triple integral

Q: 10. [VF² dx [Vr³ dx 11. 12. [Vx¹0 de 13. (u²+u+1) du 14. dv / ( ²0¹² + √² + v) du [w³+²+ w dw 15. w3…

A:

Q: 2/3 If y = xl/3 + 2 dy then |z */0 =-8 dr

A:

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: 4) Aşağıdaki fonksiyonlardan hangileri a2 əx² 1 a2 v² ət²! dx2 dalga denklemini sağlar? Neden? a) f…

A: a) Given that f=5x-5vt3 Now, differentiating f with respect to x, we get  ∂f∂x=35x-5vt25=155x-5vt2…

Q: 2 4 Mx(t) = -e+ 3t e' + e" + %3D 3 15

A: Given: Mxt=13et+415e3t+215e4t+415e5t

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

A:

Q: 4. V21+4:-z dz

A:

Q: /25-22-y2 zVx² + y? + z² dz dy dr

A:

Q: 19) If y- find the value of yl.3y. 3' A) 3. C) 1 B) 0 D) 3

A:

Q: Solve the variational problem 8] +2y (x +y)] de = 0, given y (1) éy (2) 0. %3D

A:

Q: ∫ 3e^(5t) dt

A: The given integral is ∫3e5tdt

Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

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.