GIve → r?-q² = 2ry - ir T(2,?-a') (2,-a²) + a?(z - 21)- L (2 -a* )(2, - 5.)( 2. -a+) %3D where 2, = x + iY=rei ! z = x-iy = r€° e*: Cose + i sin@ = Cose -ising I= 2T U Y (1- Prove: 94 |

Q: Q1: Find dy for the following a) y = tan-1(sinx) + In (sec2x) + 8tan5x + etn dx b) y = sec (x') +…

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Q: :

A: As per the company guidelines,we can only solve first 3 sub parts, kindly post rest parts…

Q: F(x) = 1+e siny x %3D -- = -15 e sin4X- se"co54X fca) = fco) = -8 R fくり) = fci-2) = 4.2398 > KMS %3D…

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Q: Q6:-Prove that: y" =1 y =csc(tan"") if

A: Given y=x4·csctan-114x2-1 Let tan-114x2-1=α ⇒tan(α)=14x2-1 ⇒cscα=2x ⇒y=x4cscα⇒y=x4(2x)⇒y=x22

Q: [2x*dx (Ans. 3 2 x' +c ); (xi) J3x°dx - 3 In\x)| 3 |3x'dx (Ans. (Se* –x? +2)dx , (x + 0) (x) x' +c);…

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Q: y"1 +y1 = 0. У 2- У2 %3D 0.

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Q: 1 y = V5 + cos I

A: We have to find dydx of the given function: y=15+cos x4 We know the formula of derivatives,…

Q: e-i.dt = lim X+ 00 V TE 0, Select one: a. b. NOT C. 8, O d. 1 O e. 0

A: According to our guidelines we can answer only first question. In first question we use the concept…

Q: Q₁. Find the vertex connectivity K(G), edge connectivity K'(G) and minimum degree 8(G) of the graph…

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Q: 2) f(t) = 4t3 sin %3D

A: we have to find Laplace transform

Q: 13. Find mzEDC. (9x- 1)° EE C. A (2r + 13) D

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Q: 6 2 5x y 18. 10x* y

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Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

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Q: dx S (x² – 6x + 13)² 4.

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Q: A physical distancing of at least one meter is recommended to prevent the spread of SARS-CoV-2 which…

A: We have to calculate the Euclidean distance between the position vectors of Bruno and Marcello

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

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Q: d/dx (2x'y²+8x-2y+3)=? Select one: a. xºy2 b. 14x°y? O c. 14x®y²+8 С. d. 14x°y²+2y O e. 2x'y?+8x-2y

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Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

Q: Find y' (-1) if y = In (a² + 5)° (2 – 4æ)®

A: I have stated the used formulas in the solution

Q: Calculate facos xdx . (a) rsinr – casz+c (b) Icosz+sin x+c (c) zcost-sin x+c (d) Isinz+cOSI+C (e)…

A: Formula for integral by parts :        ∫u(x).v(x) dx=ux∫vxdx - u'x∫∫vxdxdx+…

Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

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Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: Am + bm = S2m = ame™™ + bme¯ L V' 2| dy sin シ (v-) =[V +(-1)"(v' – v)]. тлу L am

A: Here m≠0.

Q: Find dy/dx: 2. (6+sec(πx^2))^2 I don't understand how to solve or explain, possibly in a way with…

A: To differentiate the given composite function (using chain rule)

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.