If z = cos x - e¹, x = 1² + 1 and y = 5 + ln t, then equals: dz dt

Q: Let y = 5.25x² +4.75 and dy Find when x = 4. dt dx dt 0.3.

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Q: Evaluate 1cos ax dx and 1sin ax dx, where a is a constant.

A: We know that, ∫cosθdθ=sinθ+C           ⋯⋯1∫sinθdθ=-cosθ+C     ⋯⋯2 (a) We have, I=∫cosaxdx Let us…

Q: cos y = e

A: Need to find differentiation for given function

Q: Given z = g(x,y) = ln(y) . cos(2x - 3y), show 02g -(x, y) дудх 02g - (x, y) : дхду =

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Q: dy dx Find when x = Vt and yt² +2+³ =

A: To find the derivative with given parametric equations

Q: Let u = exsin(y), where x = -(1/2)ln(t) and y = (pi)(t). Find du/dt when x = ln(2) and y = (pi/4)

A: Question is solved.

Q: -30t si'n got dt

A: We know, ∫eatsinbtdt=eata2+b2[asinbt-bcosbt]+C, C is a constant

Q: nd ifzxy+In(x) . x-r-I and y=e dt

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Q: d sec*t dt dx.

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Q: If A= A(t) find the A m d A RT dA -37cr dt 2 dt

A: Given that,                                                                       A=A(t) we have to…

Q: ㅈ Sa 0 tan²4t dt = 2

A: The given integral is:∫0π4 tan4t dt

Q: Find if y = e* In(sinh x) dx

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Q: derive 8t sin t (d) s %3D cos t t5

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Q: d. y= 2xe2x e. y= log2(2x2 + 1)

A: The objective is to find  dy/dx.

Q: Find 증 dy dx y = xec COS X

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Q: 6) Calculate - dx for z = ln(x + y²).

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Q: d Calculate dx dt

A: We have to calculate given identity: Concept:

Q: Find y in terms of x given that (1+ x) = x²y and that y = 2 when x = 1. dx

A: The given differential equation can be simplified as shown below: (1+x)dydx=x2y     ⇒…

Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

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Q: If A = 4x³ and (a) TRUE (b) FALSE dt dx 2, then dA dt = 150.

A: As we know the Power law; ddxxn=nxn-1 Given: A=4x3 and dtdx=2

Q: Solve dx dt = = et cos(2t) + t with x(0) = 3.

A: Step 1:Step 2: Step 3: Step 4: