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Q: dy O Find , if y = In(7x² + 5y?). dx

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Q: (» — у + 3) da — (ӕ — у) dy — 0

A: Exact differential Equation: A differential equation of the form M dx + N dy=0 is said to be exact…

Q: Ify= (? +5)*, fnd dy 4 ", find dx d?y dx

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Q: dy/dx=? for  3x4-e2xy+y5=2

A: According to product rule, uv’=u’v+v’u

Q: 2) у(и? + 1)du + (из — Зи)dy — 0 %3D

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Q: dy y = 5x y?, 7.2 dx +

A: Follow the procedure given below.

Q: dx 4-x? ダメ x'メ+5

A: solution is given bellow

Q: fx' tan" (e* ) dx 6.

A: Solve by substitution method

Q: dx Evaluate: 9 – x2 6,

A: folllow next step

Q: Q\ Eind dx/dy, if

A: Differentiate w.r.t to x tand then take the reciprocal

Q: Evaluate: £²³₂ £²₁ ₁²[z³(x + y)³] dz dy dx

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Q: Vx? +64dx sec ede tan e

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Q: 5. Se7*+2 dx du= dx

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Q: Determine dy/dx given y = (7u- 2) ifu = /a + O a. 3 497 O b. 349z 7 3 492 d. 3V19r?

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Q: Sx³sin (x²) dx

A: Let's solve given integration.

Q: S(4e2x – 1)5e2x dx

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Q: 2 16e2=" dr dy 0.

A: Given:- Evaluating the integral by reversing the order of integration ∫02∫y216 e2x2 dx dy

Q: dx -=? S 3+2cosx

A: Given that a integration problem and we solve it by using general property of integration. We know…

Q: re? 1 f (x) dx (f(x) – 3) dæ. Given that 9 and + dx = 5, find -

A: Solve the following

Q: Problem 27

A: To integrate

Q: Evaluate dx -31 x a,

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Q: .2 dx Jo (9 + x²)2

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Q: x² Ean 2tan' y dx ? tan?

A: Given: The function is ∫x2tan-1xdx. Evaluate the integral using integration by parts.…

Q: Using u- substitution, | x³/25 – x² dx is equivalent to

A: Take   25-x2=u i.e;      x2=25-u Differentiate the above 2xdx=-du xdx=-12du Substitute the  values…

Q: d?y x = 3(u – 2)? ; y = 9u? + 4 dx?

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Q: Evaluate: , L, S xyz dz dy dx С. -3.95 А. 3.95 В. 2.95 D. -2.95 |

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Q: •3 2ye dx dy y? Evaluate

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Q: et dxl 1+64e?x

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Q: dy Find if dx (² + 7)* 3 5,

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Q: 9. J et dx 10. 4лr² dr

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Q: d y Find dx? |(-1,2) if x² + y' = 9

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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: -dx O 10 10A +c 10 A +C O None

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

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Q: Sx² csch? x³ dx

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Q: Q3/A/ Evahate - fca- + In(2))dx

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Q: -10 b) L,(x² + x)dx 10

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Q: 4. J(2y + 3)? у+2 dy

A: Find your answer below

Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: Q1 Evaluate dx 1-х4

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Q: dx (1+x2

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Q: dy If dx and y (2) = 5, then

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Q: rtan can-(cotx), dy dx: 10n a. 44 b. 157 44 20n с. 44 2. d.

A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

Q: If 3x² + 2xy + y² = 2, what is? dx

A: Follow the procedure given below.

Q: 11. S ye-y°dy

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Q: Evaluate: ³²₁ [2³(x + y)³] dz dy dx

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Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

Q: Determine d/dx{2e3x cosh(4x) – e7x} in simplest terms.

A: