2e | 3జy S S dy da = Vsin(zy)

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

Q: zy dy de t 5/2/2/0

A: To evaluate : ∫032/2∫0xxy dy dx+∫32/23∫09-x2xy dy dx

Q: So S zy dy dx 4 c2 1 Show all steps to evaluate by hand: Vx 2y3+1

A: We have to evaluate the integral                                                    ∫04∫x212y3+1dydx

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 8. Integrate by parts: a) St csc? t dt b) S x2 In x dx

A:

Q: 3 Evaluate x² 2 SOFT S S x² sin y dy dz dx

A:

Q: dt 34. tan t/4 – sin² t dy - Vy dy 35. 36. yV3 + (In y)? x² 1 38. dx 4х + 5 37. :dx /x² + 2x + 5…

A: 34) Solve the integration:

Q: dy In(3x + 7) Find for y = dæ 9e5z dy %3D dx

A:

Q: Find dy and Ay for y = 3/x –1+ 2x at x = 2 with dr = Ar = 0.2.

A:

Q: dy Find at t = a where dt 1 7. у %3D = 3s + 2 and s t2 when a =1. + 4

A:

Q: dy (2) Find at x =-1 if y = u³ + 5u – 4 and u = x2 + x dx

A:

Q: dy If y = In (x + Vx² + 1) then dx O A. x²+1 O B. 1 Vx? +1 OC. 1 O D. 1 x2 +1

A: Answer is mentioned below

Q: b Let y = x²sin(y) + yeXy, where x = s + 2t and y = st dv when s (ii) dt = o and t =1 is [d]

A: Find your answer below

Q: Can you help me step by step?

A: Differentiate both sides w.r.t. t. Apply product rule on the right side. Product rule: (uv)'=u'v+uv'

Q: dy 2х + ху is separable. dx y2 + 1

A:

Q: So Simz So e" dz dy dx uate: e + Vē – 1

A: Please refer to the image below

Q: If y=xtan(x) then dy at x = Tt is: dx

A:

Q: Evaluate f S S 4.x² + 4y² + 4z² dV, where R is the hemisphere centered at the origin, R having…

A: Given that:- ∫∫∫R 4x2+4y2+4z2 dv where R is thehemisphere centered at the origine havingradius 2.…

Q: if x²+y²=t-- and x*+y*=t*+=,prove dy X t dx 3. ху

A:

Q: dw If w = f(x,y,z) = In(x² +y² z?),x = cost y= sin t ,z = 4VE , then is : dt + ww.

A: Given  w = f(x,y,z) = ln(x2 + y2 + z2) x = cos(t) , y = sin(t) and z = 4t Substituting the values of…

Q: --- Q#3 Evaluate Cf 2x dV →Where E = {(x, y, z)| 0sys 2,0sx sV 4 - ,0 < z y} ,0 sz< y} Ee

A:

Q: 1 dy J yi + 3y² + 1

A:

Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

A:

Q: (2) Evaluate 6y dV, where E = {(1, y, 1) | 0 < z < ry, 0 < y S 1, 0SISY} %3D

A: The objective of the question is evaluate the integral.

Q: Evaluate xy z? dx dy dz

A:

Q: S S§y²cos(xy)dydx

A: we have given,                 ∫x =0x=1∫y=0y=π4y2cos(xy)dydx After arrangement,…

Q: 一3十 Sin zt dt

A: We have to use first shifting property and Laplace transform of integration property to Laplace…

Q: dy 3) Determine the of : In (ху?) %3D х у dx

A:

Q: Show that d/dz(z^2 z ̅) does not exist anywhere.

A: Here we show that ddzz2z does not exist anywhere.

Q: 5. Evaluateſ, x²y dx + xy² dy where C is given by: r(t) - 3t v(t) – et 0<t< 1

A:

Q: 2. If f(x,y)= te Vy of=D0 then show) that 49 c) of af =0 dxay

A: Consider the given function. fx,y=1yex-y24y (i) First, we have to show that ∂2f∂x2-∂f∂y=0. First,…

Q: 2f sen jz įdz -2 cos z + C 28. sen Jz dz = %3D

A:

Q: If y =Aex +Be™ d'y -(m+n) dy. Show that + mny = 0 dx

A:

Q: Eval S fCx,y,z)dV Por f auel regien W M, fory2)= 2x W: x'+ y? < zs 4

A: The region W : x2+y2≤z≤4, and f(x,y,z)=2x, we have to evaluate the value of ∬∫Wf(x,y,z)dV.

Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

A:

Q: dy (3) If y = | (t – 1)²dt for x > 0, then compute dz In z

A: fundamental calculus theorem 2 states that if f is continuous on [a, b], then  ∫abf(x)dx=F(b)-F(a)…

Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: S dy S f(x, y)dx

A:

Q: d²s ds + dt 4t + 2cost where s = 0, ds/dt = 0, t= 0 dt2

A:

Q: dy In(5a + 2) Find for y = %3D dx

A: Giveny=ln(5x+2)7e5xdifferentiate…

Q: Let f(x, y) = 7e2" sin(5y) af af dy

A: We can make it easier for you

Q: 3y dx dy 1.) Evaluate exactly: Va + y?

A: We will use double integration

Q: Given z=3 In(t) and y=9t² then find dy de dy da %3D

A: We use parametric differentiation

Q: dz + et+z = 0 dt

A:

Q: 4. Use Green's Theorem to evaluate | ay dx + (1 – ry) dy where C is shown below y (14) F1,2), (1.1)…

A:

Q: What is the characteristic equation for dy 2. dt d²y y +2+e' sin 3t dt 2

A: Characteristic equation for the given differential equation:

Q: dy 13. y(1) = e de ar(In y - Inr + 1)'

A: