8:54 1 3. If y = (5x)sin(3x) , then %3D dy %3D dx Type here to search

Q: 7. Find dy dx (a) y = (x* + 5x) cos 5x, %3D

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Q: 8. (t² + 3) cos(5t) dt

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Q: dy 13 %3D - dn Solve this by using Bernoullis eajuation?

A: Given differential equation is: dydx=y(xy13-1)dydx+y=xy141y14dydx+1y13=x                         (1)…

Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: 3. Using both Simpson 1/3 and 3/8 rules compare the Error of the equation. -dy 1+cosy

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Q: 1. Given y= [In(3x² +8)] dy find tan(6x) dx

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Q: The position at time t ≥ 0 of a particlemoving along a coordinate line iss = 10 cos(t + π/4). What…

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Q: 1. (e)dydx

A: Now we will solve the integral using substitution form.

Q: 4X dy 2siny ?) S dy sinzx e 3) S sin? dx

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Q: Q.5/ A) Find dx for the following equation y = In(x2 + 4) – x tan-() %3D

A: Given equation is y=lnx2+4−xtan−1x2 We have to find dydx. Used Formula:- ddxlnx=1x ddxtan−1x=11+x2…

Q: If Xy +y.1 find the value of dy dx 2 5- at the point Co,-1)

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Q: 1 (5* )csch dy if Find dx 1. (а) y x>0. (ecosh 5x ) In Vx +1 d Show that for x 2 1, coshx- dx (cosh²…

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Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: (5an 20 elan 20 sec²2 Bd ß 1. e?x +2e* dx e* +1 2.

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Q: 2 6 Use Fubini's Theorem to evaluate 2x exy dx dy. 00 26 2x e Xy dx dy = | (Type an exact answer.)…

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Q: 7 6.) Let Y 4(cos' (3x+3)> ニ Find dy dx

A: The given function is y=4cos73x+3. Obtain the derivative as follows.

Q: If the RHS (Right Hand Side-the source) function of a second-order differen tial equation with a…

A: Here we have to go option wise and choose the option with; y(0) = y'(0) = 0. Clearly we can see…

Q: 2as L{t sin(at)} = %3D (s²+a²)²

A: We can derive it using the definition of Laplace transform or by using some identify or formula.

Q: (b) S¤(tan? #)dx (c) S cos(2t)e'dt (d*) S(arccos x)²dx (e*) S (1+ 3x)2 dx Hint: Check for a similar…

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Q: 7. (a) Find dy/dx, when x a(1 + cos 0), y = a (e + sin 0). (b) Differentiate xCOsx w. r. t. (cosx)*.

A: Proceed as shown below...

Q: 1/2 Evaluate I = dx correct to 3 decimal places using Romberg's method. sin x %3D

A: Here A is the sum of the first and last value  B is the sum of other values

Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: dz 1) Find ifz = 3 cos x – sin(xy),x =y = 3t - dt

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…

Q: dy 2 5. Find if y = sin (27t)+tan-(2Tt) dt

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Q: 2,3 Given z = sin (x + y) where x = s²t, y 2s 3t. az as az at

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Q: Q3 Find dy/dx on the graph y3 sec /x2 + y2 = cos2x at point (1, 2).

A: We have to find the derivative  of given expression at point (1, 2)

Q: 6. Find * : y- + 5)ao TK, (b) y = Sin 5x I+cos 5x dx

A: Solving the problem by finding the derivative.

Q: S Si dydx %3D 1-r

A: To evaluate the given double integral.

Q: x3 Vx-5 у сos x. sin?x cos3x - Find dy/dx of

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Q: 2. a) Determine the values of n and h required to approximate e2x sin 3x dx to with in 10-4 by the…

A: Simpson's rule error bound    Es≤kb-a5180n4 , where f4(x)≤k where ∣E​S​​∣  this e absolute values of…

Q: 10 4 dx X-1 1 Use Gaunan Quadreture of order 5 to approximate

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Q: S ii) Show the DE is not exact (2y²+3x) dx + 2xydy = 0

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Q: "/2 dx dy = * 4 3 cos X I then k is equal to 6. %3D %3D k

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Q: 2n 37 So² S67 (x sin(y) – y cos(x)) dxdy = %3D

A: The given question can be solved as shown in step 2.

Q: In |cxyl: 25 a(dy – dx) = x' dy + y dx; a constant. Ans. 2 arc tan (y/a) = In ¡c(x + a)/(x – a)|.…

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Q: Given dy find y 6 cos 6x dx O sin 6x + c O 6 sin 6x +c O-6 sin 6x 0-36 sin 6x

A: Given problem is :

Q: 1. 2sin?2t dx = cos x(1 + cos 2x)dt 2.3e-3y dx – ee+xx-2dy = 0 3.x*ydy — ху?dx + 3ydy - 2xdx %3D 0

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Q: a) Find dy/dx and d²y/dx² at the given point without eliminating the parameter x= 0+ cos 0, y=1+ sin…

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Q: Find the solution to the Bernoulli Equation. (3siny-5x) dx + 2x² cotydy=0

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Q: (7 cos° t dt 2

A: ∫0π/2 cos9tdt ∫0π/2 cost(1-sin2t )4dt here lets substitute that sint = u du/dt = cost du = costdt…

Q: Question 9 z=cos y Using the substitutions the DE (3cos y – 5x) dx – 2x²tan y dy=0 reduces to dz= –…

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Q: 3) I Cos dydx Ins Iny 4) S S e** dxdy X 1 0

A: 3)  Given:      ∫π2π∫0x21xcosyxdydx       =∫π2π∫0x21xcosyxdydx

Q: 3 T - 2 Evaluate: J. Soves y cosx³dy dx

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Q: 9 3 12 6 cos (x) SSS dx dy dz =| 0 0 4y (Type an exact answer.)

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Q: 1/10 1.A) e* cos(5x) dx integration by parts

A: Here we have to do integration by parts:   Apply integration by parts u as e3x and v = cos5x

Q: d. a) dt [8 sin 1 2t] = d. b) |7 cos s 1 5 dx d. 3u] = -1 c) 10 sec du

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Q: D. ( [ 3° cos"(5t) dt sin(z)

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Q: III. EVALUATE THE FF. ITERA •rU/2 ptan y sec y 1. . x' cos ydxdy Jo . cosy sin2x dy dx xp, •3n /2 pn…

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