dy Exc:" of y = tanh (x5 – 5x)² --

Q: Find the value df (a) that Make ECX) is Contincity at X- Ž

A: Given that :f(x)=cosx2x-π      ,             x≠012a2-3a+4      ,   x=0

Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: , X= sin ztS d= In Find dw 2- Cost

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Q: dy -is: then dx cos. cos x Q21. If y = tan 1+sin x

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Q: 1) ex-ydx + sin y sec x dy = 0

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Q: dy/dx= tan^2x/sec^2y when y= pie/4 and x=0

A: Given dydx=tan2xsec22y   y=π4 and x=0

Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: dy Determine the general solution of = 1+ 3y tanx. dx

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Q: (d) y = sin(Vx) sinh (In x)

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Q: slove the DE cos x dx/dy +ysinx =sinx cosx

A: r(x) = y'(cos x)  +y(sinx) =sinx cosx   The complementary equation Put r(x) = 0  is (cos x)y' + (sin…

Q: Estimate S, cos(4x)dx with Trapezoidal Rule. n = 10

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Q: dy given that In(x + y2)-tan- = 0. Find dx

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Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

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Q: 1+ x 1 then find dy when – 1<<1. dx If y = tan

A: We will find out the required value.

Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: Let -1 y = tan' 3x2 – 1 dy Then dx

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Q: Find dyldx at x = pi/3* y = sinh'(2x) O 0.8617 O 0.6817 O 0.6871 O 0.8671

A: This question is based on chain rule differentiation.

Q: Find dy/dx, where xsiny +ysinx=1.

A: Given - xsiny+ysinx=1 To find dydx Here we will use the following formulas- ddx(uv)=udvdx+vdudx…

Q: tan y dy + In (secy) In (6)sec® de

A: Given data:     The given integral is: . The given integral can be written as, Assume Let…

Q: 1. еat sin mx dx 0. 8.

A: Given data: The given integral is I=∫0∞eatsin mxdx. The given integral can be written as,…

Q: 200 J + Corxiy_Tanx sinx dy

A:

Q: Find dy if y = tanh-1(5x²) csch¬'(In x). dx

A: Given: y=tanh-1(5x2)csch-1(lnx)To find:dydx=

Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: Solve this DE 1. dy/dx+secx(y-2sec3x+2sec2 xtanx) + y cotx = 0

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Q: dy/dx of y=(tan^-1 (x))^3x

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Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: I = f, (sinhz + 1)dz. %3D

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Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

Q: Find for y = tan(x) dy dz2

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Q: dy Y = tan2 1- dx

A: The equations of the form dydx-P(x)y=Q(x) can be solved by using integrating factor but for the…

Q: Q3: dy\dx off(x)= tan x cot x is

A: Given,    f(x) = tan(x) cot(x)         = 1   As we know, inverse of tan(x) is cot(x).

Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Q: b) Differentiate y = e (In3x) + tan (3y) with respect to x. %3D + 2e In 3x Ans: dy %3D 3 1-

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Q: y= sinh-lx then prove that Vx2+1 dx

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Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx

Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

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Q: Find dy for X=3sec-vE tan (2t) and

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Q: d y' of y= In(tanh2

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Q: * J²Z d²z дуг dx²² 1 = tan ³x tany - tanxton³y

A: Given that  ∂2z∂x2-∂2z∂y2=tan3xtany-tanxtan3y

Q: 1 tanx dy dx Ja 1+ y2 а

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Q: dy sin(2x) with initial condition, y dx +

A: The detailed explanation of above differential equation is written below.

Q: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: tan y dy 1-tan2,

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Q: dy about cosx+ylny= 0. dx Ask for

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Q: Let f(x,y) = tan 1(sinh (y) + 2020 cos - 'y) + 4xy Calculate

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: Find dy/dx if y = In (tan(x).3$ec(x) + /sin (x³)

A: given,