d Q. S Vt In(t)dt equals dx a. 4x³ (In x) – /2 ln(2) b. 4x5 (ln x) – /2 ln(2) c.4x³ (ln x) d. 16x° (In x) а. a b d

Q: Let y tan(4x + 4). Find the differential dy when x = 1 and da 0.4 Find the differential dy when a =…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x3/4 %D dy =

A: given y = 8x34  we find the differential dy of the above function.

Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x2 - 1 dy =

A: solve by implicit differentiation

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x…

A: Given:     y = cosh ( ln ex^3 )

Q: d t In(t)dt} dx 3

A: We will find out the derivative of given function using fundamental theorem of calculus.

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: d Vi In(t)dt equals dx

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3x2 - 5 dy =

A: Given, y = 3x2-5  We have to find the differential dy for the given function

Q: dy for y= In(In(2r')) dt

A:

Q: If z + In(e2x - e + e²) = 0 dz find at the point (0, 0) dx 2 0 -3 -2

A: see below the calculation and answer

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x2 – 2 dy =

A:

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: If y = f(x) is the solution of (-x – 9)dx + (x2 + 10x + 41)dy = 0, f(0) = }In(41) +arctan(5/4), then

A:

Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: The exact differential d(xy)= xdy+ ydx , what is the d O= 4x²y°dy+ 2xy*dx.

A: Find your answer below

Q: Find the total differential. w = e²y cos(7x) + z³ dw = (No Response)

A:

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

A:

Q: Let y = 5x?. Find the change in y, Ay when a = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: dw "(1),y = sin (1),-: 2) w=+ x= cos at =3 Ans. -1 dt

A:

Q: If y = In(2x+3) , then find dy at x = 0. dx

A:

Q: . The exact differential d(xy)= xdy + ydx, what is the d( = 4x²y'dy+2xy*dx.

A:

Q: hello! can you help me with this calculus problem?

A:

Q: -cosh(x)dx 18) St?cos(2t)dt S 2y²e»*dy 19) Sxeax+1dx dx Sx²e2*dx 20) S x-x2 ) (2?/ª x)°e-In(x²)e3×dx…

A: We have to find the integration.

Q: d Q. Ir Vi In(t)dt equals dx a.36x6 (In x) b. Væ6 In(x°) – V36 In(3º) с. 6х2 (In a) d.36x7 (ln x) –…

A: The fundamental theorem says of calculus says that  g(x)=∫a(x)b(x)f(t) dt'=f(b(x))b'(x)-f(a(x))a'(x)…

Q: (b) x²e3 dx (d) arctan 4t dt

A:

Q: d ca+ Q. dx * Vt In(t)dt equals a. 4x° (ln x) – V2 In(2) b. 4x³ (ln x) – V2 In(2) c.4x³ (In x) d.…

A:

Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

Q: e ln (xle) (2– sec²r)cm#/c°sec³x sec(3A – x) What should be the value of A for -dx to be integrable…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 4 y = 8V dy

A: We can make it easier for you.

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

A: Differentiation using Logarithms: When a function appears as an exponent of another function we make…

Q: If y = x* cos' x-e* In( 7x +1) , then find dy at x=0. dx 3

A:

Q: (4 + e² ë*) dx + (1 +et) dy.so *) dy so A Scanned with

A:

Q: 2- is the D.E:(3x² + y cosx )dx + ( sinx-4y )dy = 0 | a- - Exact b- linear D.E (show that)

A:

Q: Find dw/ dt at t = 0 if w = sin (xy + p), x = et, ln (t + 1).

A:

Q: Use the method of first principles to show that d/dt(lnt)=1/t

A:

Q: Find d when y = 3 In(In(In(x))) dy dx

A: Here we can find the derivative as below

Q: dW Find at t=0, if dt .3, W = x*y+ zxy whe x = sin2t, y = cos ?

A:

Q: 4. § xe¯ dx 6. |t sin 2t dt Jx² cos mx dx 8.

A:

Q: H.wl: Find L St. sin 2t.dt -3t {e p1 p2

A: We find Laplace transform of given function

Q: Let y = tan(4r + 4). Find the differential dy when x = 1 and dæ 0.4 Find the differential dy when x…

A: Given that, y=tan4x+4 differentiating both sides with respect to x, we get…

Q: Find the differential dy of the given function. (Use "dx" for dx.)

A: Recall the following fact.

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

A:

Q: E valuate dt + seck tan x dX

A:

Q: Find the total differential df to the function f(x, y) = x²y – xy? when x decreases from -2 to -2.01…

A: We will find out the required value.

Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: Let y = tan(3x + 5). Find the differential dy when a = 4 and dæ = 0.1 Find the differential dy when…

A:

Q: 3 dy Find dx if y = cos vx + 4sin x – log 3(3x + 1)ž. إضافة ملف

A: We will solve the following

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.