Question 14 If x2 + y? = 25, what is the value of d?y at the point (4,3)? dx2 7 A) 27 25 B 27 25 27 7 (D 27 E) 4

Q: 7. (D5 – 5D³)y = 24

A: Given problem Given that 7)

Q: d®y dx + 17 + 88 + 144y = 0 dx dx2

A: Differential equations

Q: Find d²y 히 2 dx y = -5x + 2

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Q: + 5 D + 5D-e) y

A: Consider the differential equation D4+5D3+5D2+5D-6y=0 Therefore the auxiliary equation of the given…

Q: for

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 7x 7) y = x2 +1

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Q: 4 dx 2 + x3 1

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Q: d?y Determine if: 2x2 – xy + 5y2 = 7 dx2

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Q: c. x = 29 d. 6 = 29 %3D %3D

A: we have to solve the following

Q: 3. c ² +7z+10 dz, C: |F|=1

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Q: Find the value of x and y if ALUV ~ AGEO. G. 4 E y 10

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Q: Evaluate f Vr+ V?dx Oa. 3 am +2) +C (V2) +C can) Ob. 2 am +2) +C 30 om +C (25) Oc 2 an +m) +C O d. 5

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Q: 2) y=x' – 9x² + 24x – 18; [2, 4] -

A: let y=f(x) f(x)= x3-9x2+24x-18, [2,4] using rational roots tests: x could be :±1,±2,±3,±6,±9,±18 If…

Q: needed. That way you'll have better chance x2 + + 2x +3 dx x3 +3x2 + 9x a. #13. 26+

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: solve the D. y +8y" +16Y

A: We have to solve the differential equation.                                  y''''+8y''+16y=0 can…

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

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Q: 1 4.) dx 36 22 5.) 10x d.x VI-

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Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: csc²a = acote

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Q: I+1 dr

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Q: d² Vx7 b) Evaluate dx2 x=9

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Q: 3. fx³ (a²+x²)¹/² dx

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Q: 유(In (e2x)) d dx 1 .a e2x 2х .b 1 .C 2 .d e2x O O

A: The solution is given below in the next step:

Q: to dx パー! 2 S dx 3J xtl to

A: (a) ∫2∞x2x3-1dx Solving the integral  Let  x3-1=t3x2 dx= dtx2 dx=dt3 Therefore, ∫2∞x2x3-1dx=∫7∞13…