2s L-1 ;2 – 3 | 2 cosh9t .b бсosh9t .c 2 cosh3t 3. .d бcosh3t || 3.

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: c) L-1, 4s² - 21s+ 30 (s² - 6s+13) (s – 4) -

A: Above question is solved.

Q: F (s) = 4s+12 s2+6s+73

A:

Q: Evaluate the integrals

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

Q: 8. (2D3 – D² + 36D – 18)y = 0; when x = 0,y = 0,y' = 2,y" = 4 9. y" – 3y' – 4y = 16x – 50cos2x

A: As per guidelines we have to solve one question please repost other questions

Q: Q5) Evaluate xIn xdx a) 4 b) c) -e? d) divergent 1/4

A:

Q: dx Q2) Evaluate 2. 9+3x

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

A:

Q: 24.t2y′′−2ty′+2y=4t2,t>0;y1(t)=t

A:

Q: 4. (D² – D – 6)y = 0; when x = 0, y = 3, y' = -1 %3D

A: Use this auxiliary equation and complementary function

Q: Find ƒx (x, y)  and ƒy( x, y) .

A: fx(x,y) is the rate of change in f(x,y) in x-direction. We can find the same by finding the…

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

A:

Q: prove: d2f 2 D² f(r) = dr2 + 2 r df dr

A:

Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: 9 dy 3) (y+2)

A: Given, ∫1∞9dy(y+2)2

Q: Q5: If f(x, y) = 6x, g(x,y) = x- 3y find Vf.Vg,V(fg)

A:

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: Q5: If f (x, y) = 6x , g(x,y) = x - 3y find Vf,Vg,V(fg)

A:

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

A:

Q: w Dy ),-0 7 By b. Əw əz C. aw əz

A:

Q: 8. (2D3 – D² + 36D – 18)y = 0; when x = 0, y = 0, y' = 2, y" = 4 %3D %3D

A: Solution

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

A:

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

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: dy 4. if y = csch-1 2º . de

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

Q: dy iven x² + 2y² = 9. Then, dx2 A 64x2 B) 4y3 O 32 xy 16 D 9y

A:

Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the…

Q: f(t) = 8 – 2U(t – 2) + 3U(t – 3) - -

A:

Q: (d) 6z – 9 – z² < 0 (e) 3t? + 21t + 30 2 5t² – 20

A: In this problem we need solve the given inequalities. That is, we need to find the range of values…

Q: んN-S dz -62+13 tan 2x Ycas 2x -a5

A:

Q: Write equation for each ellipse.

A:

Q: a) Р(х — 51n - 9,р — 0.50) b) Р(х %3D 7|n 3 17,р %3D 0.60) с) Р(x S 3|п 3 20, р %3D 0.05)

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

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: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

A:

Q: 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 - -

A: First I have written the auxiliary equation of given differential equation and then find its root…

Q: %3D AB is a midsegment of AXY Z. If AB = 3f +8 and YX = 7f +11, what is the value of f? A 3f + 8 Y…

A:

Q: where R= [1, 2] x [-1, 2] is equal to Select one: None of them √ [₁3x²- (3x² - 2y), R 0 1 18 24

A:

Q: Shaw that ys²-3S+5 (St1)XS-25+2). 3-1207820st+9 E sit

A: Some of the properties of the inverse Laplace is given by  L-1a f(s)+bg(s)=aL-1f(s)+bL-1g(s)…

Q: f) VaeA : 3BEB : (3a>b X at&<o)

A: The given expression is: ∀a∈A:∃b∈B:3a&gt;b∨a+b&lt;0

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

A:

Q: Find 2B

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

Q: 12- Let Mx,y (t₁, t₂) = e4t+t₁t₂+8t. Then var (Y) is (a) 13 (b) 7 (c) 16 (d) 9

A:

Q: 6. Use th A). De B). f' C). f'- D). Li

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: rve (y+1)2 = 4x3 from x=0 to x=1? (4) =q8

A:

Q: C' (t) = (20t + 28) /2.5t² + 7t, for 0 <t < 15, %3D

A: Solution

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.