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## Related Calculus Q&A

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Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

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Q: ュCんーリ)キッアメー1ドつn Yeメt. フ4 (おつ ?ケ+ Find the nibimal distance between the

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Q: find dy ny the Chaenin Rult yz tan u and UzJxz+5

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Q: Q Given fexy) xy( /(+ and at when Shaw that Fry +fyx

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Q: 2t k, then the distance traveled over 0Sts In 3 is:

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A: The given function is y=cot-14-x2. Take t=4-x2. Then, the function y=cot-14-x2 becomes y=cot-1t.…

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Q: YZ is the base of an isosceles triangle; XA || YZ Z1 = 2 Given: Prove: A 2

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Q: Find the denivahive d.the following- vecter. Fumctrenss ei +In(\43t)..k. b. Zit). =(sin t). +…

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Q: 2 HA=A-tj + (t – 1)k, B = 271 + 6Ak, find (a) (A - B) dr %3D

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Q: dy Find the value of at x= 5 using Lagrange's interpolation formula from the given table dx 1 7 y 4

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Q: Ex:57 Find the FisiE of the Juuctiou sin TIt ZL oくtくし - siu -Lくtく

A: Given, The formula for the Fourier series expansion is,

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Q: Consider the following figure where AABC - ADBE. B A C Given: AC = 16, CB = 12 E is the midpoint of…

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Q: e) Use (; a²p Find the value of Vm at which both of these deriva- T to find aVm tives are zero.

A: I will present e bit for u in the last step....inorder to show u the steps clearly of e bit , I have…

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Q: Home wurk find Jw me for the for au d fuuctivus : %3D x 4

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Q: WFind The order and degree for DiE? O dy e (3 Jy? @ Jy - sinx %3D

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Q: Solve the given DE. USE ONLY FORMULAS and PROPERTIES taught in class. y" (t) + 2y' (t) + y (t) =…

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Q: ® Use Craumoy's rule to solre fhe following linear syslems: rele to solve al fxy=0 8? S x+2y-2 = 0…

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Q: for f(x, y) = cot(x² + y²) dydx 4. Find

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Q: (a) Find the approximations T4 and M4 for 7el/x dx. (Rou T4 = %3D %3D

A: We have to find approximations T4 and M4 for the integral ∫127e1xdx Here T4 stands for trapezoidal…

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A: Given two triangles ∆PSR and ∆QTR with PRTR=SRQR that is, the sides of the triangles are equivalent.…

Q: dp +t². dt For p(t) dw For w(u) = Vu - 2u? – 10, du

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Q: EX. Use Euler's method (modified) to approx; mad e y' = x+y for yC1) = 1; h=o.1,15X<2 心ふ 14 withe…

A: We have to use modified Euler method to find solution.

Q: dz dz Find Ju when u = In 2, v=5. if z = 20 cot 'x, and x= e" + sin v. and dz (Simplify your…

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Q: tind the particalar Solufon of Me dofferential equation Cyat2) Sy given y=l when xot Sy giveny=l…

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Q: Q3: Given T(u) = sin (u), where u = /x2 + y2, find T- Ty. %3D

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Q: The difforontial oguation (2x + 2v. 1 dy 12x4 2 y12dy - 0 ro prosonts non parallol linos

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Q: Find for the following by using appropriate rules: dx i. y = Vt , x= ++1

A: Differentiate y and x w.r.t 't' And, Recall quotient rule

Q: Solue the differeulial equalion dy +9-é^ Cosre zo yo) =0. 2. by csing milne's methad with h = 0.1.

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Q: C. Given that y = e* sin x, show that d?y +2y 0

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Q: (D² +2D+3)(e²' sin(r)) = e² (10sin(t) + 6cos(t)) true false

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Q: Find dy Sor The Sullowing Suetien? ) y = Cot 2) y = Ln [cosx) %3D

A: Please refer to the image below.

Q: Find r(t) for the given conditions. r'(t) = 8e4ti + 9eʻj, r(0) = 2i r(t) =

A: Just I have integrate the given function and then using given initial condition and easily find the…