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A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 8. Which equation has exactly A 7x =7 B) 7x 7a x +1 = x + 1 Dx+1= x + 2

A: A) 7x = 7 implies x = 1 Exactly one solution B) 7x = 7x  This is true for each x Implies infinitely…

Q: Find the intergral of dx/(x^2+6x+13)

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Q: J 2x³ + 3x² - 22x - 60 X2 - x - 12 dx

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Q: dx 5. S- (4x – x2)°/2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: e dy dx У-х+1 У-х +5

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Q: dx Evaluate: 9 – x2 6,

A: folllow next step

Q: Sx dx 3 x2 ४

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Q: PLSS ANSWER ASAP!!!!

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Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.

Q: 寸 dx. 2. 11+ズ

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Q: dy Find dx = (3x - 5)(x² + 2x).

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Q: d A) show that: (x³) = 3x² . dx

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Q: ® 2ly*t9) dx +(1-x*)ydy = %3D

A: given DE 2y2+4dx+1-x2ydy = 02y2+4dx = -1-x2ydy2dx1-x2 = -ydyy2+4integrate on both sides to get the…

Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

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Q: -dx x2 + 2

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Q: S dx x² √√9-x² 2

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Q: (f) / x² + 4 dx

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Q: 4 dx 16 + x2 -4

A: To find: The integration of ∫-44dx16+x2. Concept used: Integration formula: ∫dxa2+x2=1atan-1xa

Q: 213 dx 4+x² ,2

A: We will use substitution to solve the integral

Q: dx 3. 19-X

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Q: „ 2x2-5x if y= dx dy Find 5x3 +5

A: y = ( 2x2 - 5x ) / ( 5x3 + 5 ) y'=?

Q: 4 + x² dx 2

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Q: [D3 – 6D2 + 11D − 6)y = cosx sinx

A: The objective is to solve the above differential equation.

Q: d²y — 6+ 13у %3D0 dx2 dx

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Q: 41 D'(D + 1)y- 3x +4sinx-2 cosx

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Q: Find for the equation below. dx 6x2 - xy- y' = 6

A: In the question it is asked to find dydx of the following function given in the question.

Q: 7rebz dx = 2 Your answer should be in exact form.)

A: Given integral to evaluate ∫-227xe6xdx This can be integrated using the rule ∫u·vdx=u∫vdx-∫u'∫vdxdx

Q: - dx V4 –x² 14.

A: We have to integrate

Q: Q3//A/ Evahuate 6. In(2)dx

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Q: V1+ x² dx 2.

A: Follow the procedure given below

Q: - 30 + 8x² | + 8a° dx =

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Q: 3 x2 dx 4

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Q: dx a) S 19-x²

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…

Q: 2x-1 ate dx by using substitution m

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Q: find d2x/dx2 ? y=sinh(2lnx)

A: To determine the second order derivative of the function.

Q: dx 9. (4-x²)3/2

A: Solution 9.∫dx(4-x2)32

Q: V -dx x² + 2

A: Given, I=∫xx2+24dx

Q: Vx - 2 dx 5 x + 1)

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Q: dx (1+x2

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Q: +j =6- d 5x+(/x + %3D dx x² 2.

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Q: e: √₂² ²₁₂₁ (4x²yz - ²) dz dy dx 4

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Q: ∞ So dx 4+x²

A: The objective is to solve the given integral. The required formula for integration is…

Q: 11. (D² + D – 2)y = 2x – 40cos (2x) 12. (D? + D)y = -cosx

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Q: Зх - 6 Find if y= dx 2 · 18x?

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Q: Q2: Use trig substitution to find 2 + 4x +5 dx

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Q: 5x 2 Evaluate: ²3x²dz dy dx 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: SP dx * if y = In [(2x³ + 7)(9x – 2x²)]* Find

A: