13. (a) y = tan /t I|

Q: 3(sin y- cos y)* dy cos y

A: We need to solve the integral ∫3sin y-cos y2cos ydy Now, we have an identity a-b2=a2+b2-2ab Hence,…

Q: 4) Estimate tan (0.5) using the tangent line to y = tan(x) %3D 6

A:

Q: 7. Find the dy/dx of * y = In sin 5x

A:

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

Q: 12. cos cos (xy) = 1+ sin y

A:

Q: 5. Solve: (sin y – y sin x)dx + (cos x + x cos y – y)dy = 0

A:

Q: S sin (2x – 1)cos (2x-1)dx (2х - 1)dx

A:

Q: 2 1 + x - 1 then find dy when – 1<x <1. If y = tan dx

A:

Q: ind dy/dx of y= tan^-1 (ln x^2

A:

Q: 5- = cos nx dx= [cos nx cos nx dx 0.

A: We have to solve given problem:

Q: 2- X. Sin (5X) dx: Cos (SX) X Sin (SX), Cos (SX) XSin (SX) XSin (SX) Cos (SX) 25 25 25

A:

Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative af/ar if 1 f = ? + y?

A:

Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

A:

Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

Q: 5 sin“(3t) dt

A:

Q: 9. Integrate: Ja (x- 1) cos(x? - 2x) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: tanx dx = -In/secx|+C^O .BO In|secx|+CO In/cscx| +CO -In|cscx|+C°O .D

A: We need to evaluate the following integral I = ∫tanxdx

Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: 11. Integrate. a. x3 b. S(5 tan 3x – 2 sec2 x)dx

A:

Q: 2 (b) - 2y dx +(2y tan'(x )-2x +sinh (y))dy = 0

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Q: 4 sin (2x) dx cos (2x)t4

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Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: 3. f(x,y) tanx - sec²x - cosy

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Q: 8. y = In(2e-t sin t)

A:

Q: Evaluate the integrals

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

A:

Q: S sin(3x + 2) cos(1 – 4x)dx

A:

Q: 2. Find the length of the curve: y = 2 In (sin (÷x)); -< x

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Q: 3z cos(z)dz

A:

Q: 5 dy of: y = |x sin 2 + tan (x") dx 4

A: Given function is y=xsin2x+tan4x75 We have to find dydx. Here, we have to use some rule of…

Q: 8. [(cos'y- sin'y)dy

A:

Q: cos(xt) cos (sin(at)) dt D. tan x dx =

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

Q: 7)(x+tan y) dy sin 2y dx

A:

Q: solve  sin(x)dy/dx + ycos(x) = cos(x)[ex + sec2(x)].

A: Convert into dy/dx+p(x) y=Q(x)

Q: 7 Find (b) x siny-ycosx-y 1.

A:

Q: 4. cos x dy + y(sin x – 1)dx = 0; when x = T, y = -2

A:

Q: 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy

A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

Q: x' sin 2x dx -3x 5. X cos 2x dx

A: We solve these integral by u.v formula of integration

Q: 2 sinºx cos®x dx

A: here we use integration method, as we seen that the power of the sin and cos are even . so we use…

Q: 2- Sin(x) dy dx ty Cosx Ex Sinh

A: As per our guidelines we are supposed to answer only one question and rest can be reposted Given:…

Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

A:

Q: If f(x) = A B tanx 1+e 1+1² 1+e¹ In (secx) √ 1+tan²x 1+ e tanx sec 3x tanx -dt, then f'(x) equals

A: solution:-f(x)=∫0tanx1+t21+etdtApplying leibniz integral…

Q: 3. Find the derivative of (a) f(x) = (x+ 4 sin æ) (1 – 6 cos a), an (b) sin r g(x) %3D 6x

A: a). Given function is fx=x+4sinx1-6cosx. To find the derivative of given function. Solution: Product…

Q: 4. cos x dy + y(sinx- 1) dx = 0; when x = n, y = -2

A: (4) To find: The solution of differential equation. Given: The differential equation is…

Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy

Q: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: 9. [sin Ssin' cos–dx 3 3

A: (9) To evaluate ∫sin5x3cosx3dx Substitute sinx3=u and cosx3dx=3du. Therefore,…

Q: 10. Find dy/dx of y= 1/ (tan-1 x)

A:

Exponential Growth Model

The relation that represents an exponential function is: