y" – xy' = xe ? = y' =? A) y'= -e? +ce* B) y' = x'e? +cx C) y' = xe ? +cx D) y' = - x² +ce

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A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

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A: Recall: sin θ=opposite sideHypotenuse cos θ=adjacent sideHypotenuse We have, θ=60°, opposite…

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Q: 6. Given r + y° = 1, find y"

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A: Here we have to find the second partial derivative of the given function.

Q: 6)( csc-1 u] du dx uyu2-1 dx

A: To prove,  Consider, y=csc-1u Now, on taking cosec on both sides. y=csc-1uu=cscy

Q: Find if y = tan- 5). Select one: A. 1-) В. 1+ (1 – 2)* C.d - 2 O D. I+ (1 - 1)* OE.+ (1-)

A: Given function is We know that derivative of tan inverse x is 1/1+x^2,so

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A: NOTE Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 2) 3. | 24 ly-11 dy

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Q: tan u = dx du sec?u · dx

A: To prove: d(tan u)/dx = sec2u (du/dx)

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Q: AC) = -t+J At - t) sin rdt %3D OA. -t + OB. .3 -t 12 OC. OD. -t + O E. e -- 6.

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Q: c) y" - xy = 0.

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Q: _3. lim (17x – 4) х--18 А. -140 В. 310 С. -310 D. DNE

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Q: Hw) if J-0- Gso and X=O+ Cas e Show that Sece+tan 0

A: The given differentiation can be solved by using chain rule. Initially, the y expression can be…

Q: Scot"(2) cot³ (x) dx

A:

Q: Đi bỏ xes xdx = dx 2) √ √9+4x² = a) 6e5-1 25 ¹ (²3) + a) cosh-1 c b) 1+4e5 25 b) (4e5-1) 25 c). sinh…

A: Using following formulas

Q: #6. Eunlwate taldx uhere cosk fa) cosx-SinZx, x)n .

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Q: (e") = :一

A: Our aim is to find the derivative of eπ i.e, ddx eπ =?

Q: y-y-coshx Ans.

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Q: sinh x 20. 1x1-3 A) 2. B)-2. D) 0.

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Q: 5)find y y= Inl-decx +tanx)

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Q: 3. Find the value of y when x = 0. a) y= 3x - 1 b) y= -0.5x + 2 c) y= 2x = 3(0) – 1 = -1 =-O.5LO)+a=…

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Q: Reduction to sep: 6) xy's x+y Reduction to lom: ?) y'ty=-xy

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Q: 4.05e fa)=5x-2.4gk4ーズ al (fog) (-2) 2.

A: Consider the functions fx=5x−2gx=4−x2

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.