u(t) where u(t) – () a1 and u; (t) = Bie" + Bet and ua(t) = Bze" then 12(t) %3D %3D a2 a. a2 =3 b. ag 2 C. a2=1 O d. ag=-4 3.

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

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Q: If 3y-5x = 7, then at (-1,2) is dx %3D

A: This problem can be solved by differentiating the given implicit equation w. r. t x and then finding…

Q: 5. y' = -4x/y, y(2) = 3 %3D %3D |

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Q: h.w: find Df, R1 y = Vx2 -6x + 8 %3D

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Q: dx 11 3x+2y <=C Ans: 3e-2 +2e³x.

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Q: Evaluate Sc 24-223 z+1 dz, C:|z1|1= 2

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Q: [C: (B-ỹ)- B · (Č - )]Ã= (ỹ × Ã) · (B x C).

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Q: Find ¹ (3x + 5y)dA where D = {(x, y) | x² + y² ≤ 16, x ≥ 0}

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Q: d?y Find dx2 x = t° - 7, y =t - t?

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Q: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: Thank you

A:

Q: dy Exc: " of y = csch(Vx³ – x²)6 %3D - dx

A: Differential calculus is one of two main parts of calculus which is concerned with the study of…

Q: Help

A: 16) Given: x=5y-3 and y=-2a3 To write x in terms of a, substitute the value of y in x

Q: If n(U) = 45, n(A) = 17, n(B) = 9, and n(A' n B') = 14. Find n(An B). %3D %3D %3D

A: Formula : n(A n B) = n(A) * n(B)

Q: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: make outbound JÄ x -4/3B = -12Ä ·B jän;B sà nai } = "i the corner achieve True false

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Q: ーb±、b? -4( -b+ 土\ )) X%3D W 2( )

A: Given a quadratic equation ax2+bx+c=0, a, b, c are constants

Q: The order and degree of the D.E. (²² dx³ a. (3,4) O (a). c. (2,1) O (c). (b). = b. (4,3) dy 1+ is dx…

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Q: dz (D2 + 16) (D² + 4D – 5) (D² + 2D - 3)*z = 0, Dz = dr

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Q: // (3x + 4y)dA where Find D D = {(x, y) | x² + y² 0}

A: Given f(x,y) = 3x+4ydA =dxdyarea bounded by the region x2+y2≤4,x≥0. It is a semicircle in the left…

Q: (c) Evaluate (1+ Væ)' S dx. 2C

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Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

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Q: ac %D Əx ac %D ду

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Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec²x

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Q: I dz it ;C:又(t)=a+re ;ort S2下 2-a.

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Q: (yæ² + æ*) dy – (y³ + 2 y² a 3 3 y x²) dx = 0 - - –

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.