fx(x) = 2e¯A* - 2x 1,2....,) %3D

Q: -2 4x³ – x² + 2x+15 dp- -3 (x- 1)2(x² +4x+5)

A:

Q: 2) folve 27 L1 J2-5 -2z -J3

A: solve2z+1-2z-3=2-i3

Q: 30. S = {-3 + 6x, 3x², 1 – 2x – x}

A: If vectors are L.D , then it will not form basis.

Q: 12) y= sec (2– 3x)

A:

Q: 2. y = Vtan x

A:

Q: max z = 4x1 + x2 s.t. 8x1 + 2x2 < 16 5x1 + 2x2 < 12 X1, X2 2 ()

A: LINEAR PROGRAMMING PROBLEM: BY graphical method

Q: 5t3-3t2 +7t - 3 -dt (t² + 1)²

A: To Find: ∫5t3-3t2+7t-3(t2+1)2 Method of Partial Fraction: Let R(x)=f(x)/g(x) Let x2+ax+bbe a…

Q: 13. y = A²x' - 3Bx %3D (x) ans : y' = 34A²X² - 3B %3D (x)

A: Given: Y(x)= A2x3-3Bx Differentiate y(x) with respect to x

Q: Use initial value Xo = [-2, 1, %3D -0.5] -2X1+ X2 + X3 = 4 Хз — 4 X1 – 2X2 – X3 = -4 X2 + 2X3 = 0

A: We will solve this equation using the gauss-seidel method. so for that first, we use the initial…

Q: 26. sec (- 2r) = - V2

A: Given that sec-2x=-2. We know that secx=1cosx.

Q: diffelentiate y= In(登) 2X 3.

A:

Q: Eliminate the arbitrary constant/s: y = 2C1e^-2x - 4C2e^x + 2C3e^-3x

A:

Q: Value of the 7th term in (2x + y)"?

A: Follow the procedure given below.

Q: 2-fx (sec²x)dx

A: Given:

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D.…

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

A:

Q: 14-t2 dt

A:

Q: %3D 6.

A: Please see the explanation below

Q: 3 [*² [b³ – y³]² dy

A:

Q: 2) Min Z = 5x1 +6x2 X1+ 9x2<60 2x1+3x2 <45 5x,+ 2x2220 Sub. to X1, X2 20

A:

Q: /1-y2 1+x2 اوجد الحل العام ل لمعادلة التفاضلية

A:

Q: x(п) %3D (3)". и(-п)

A:

Q: X is the number of tails that come up when a coin is tossed twice.

A: If a coin is tossed twice, the possibilities of outcomes are HH, HT, TH, TT where H denotes head and…

Q: 2. y"+ 4y 4 sec2x

A: @

Q: 2-5 Secxtanx edx 4-Sečx

A:

Q: xii. dx -x4 V3-2x-

A:

Q: 4x+7x=6te 5t+e-3t x(0)=5

A: Consider the differential equation, 4x˙+7x=6te-5t+e-3t   ;       x0=5 This is a Linear Differential…

Q: LL6- 25 – 3°) dy de (6 –

A:

Q: 3) y = Vx – 5 4) y= Vx - 4

A:

Q: sec 2. 5-Seck secx XP

A: we need to evaluate the integral ∫sec2x5-sec2x dx we know  sec2(x)=tan2(x)+1

Q: 2 7t 3/2 dt

A: we will use substitution

Q: 5. y-5y+6y = coshx %3D

A:

Q: y = sec- (4a + 5)

A: on differentiation we get the

Q: ー4 X+/ Y-2

A:

Q: e-7x - 2e3 et f (x) = e- *+16e10* + 2e-4z

A: (a) Consider the provided limit, limx→-∞e-7x-2e3x-exe-x+16e10x+2e-4x Evaluate the provided limit.…

Q: dx V3-2x-x2

A: Explanation of the answer is as follows

Q: (1 + t²) = 2ty(y³ – 1)

A:

Q: max z = 3x1 + x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()

A:

Q: d/dt ŷ = [3 1] ŷ, ý(0) = [8] [-2 1] | [6]

A: Given that dy^dt=31-21y^ with initial condition y^(0)=86 Let A=31-21 and eigenvalue of A is λ. Then…

Q: 2 D²y+y=secx²

A:

Q: fx+ h) – f(x) otient, fx) = -2r² - Sx – 8

A:

Q: 4s2 + 3s %3D s2

A:

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: the y-intetcept of the line. y=-3.9x-3.6

A: Given that  Line equation  y=-3.9x-3.6    We know that  General line equation  y= mx + c Here m=…

Q: tions: (4, 7); y = 3x + 6 %3D

A:

Q: uation (D² – 4)

A:

Q: - eliminU1 stem of equato y=2t 「し 3x-) 3D3 X+ 2y =3

A:

Q: t3 - dt (2 – t4)4 "

A:

Q: yA x= y² - 4y (-3, 3)- x = 2y – y² |

A:

Q: Min z = 2x1 - 4x2 + 3x3 s.t. 5x1 - 6x2 + 2x3 > 5 -x1+ 3x2 + 5x3 > 8 2x1 + 5x2 -4x3 0

A: Given  Problem is     MIN z = 2x1 - 4x2 + 3x3subject to5x1 - 6x2 + 2x3 &gt;= 5-x1 + 3x2 +…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.