Given w = 2ye? sin(xz), find d3w a. dzdxdy d?w b. - dzdx

Q: az If z? = y sin(xy), find ду at the point (-1, ",1) a) - 0.5 b) 플+1 c) - 2 d)-플- 1 e) 0 f) 1 g)…

A: We have to find the direction derivative from the given condition and partially derivative  at the…

Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

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Q: find the value of the constants a, b S"L cos(x + 2y + 3z)dzdydx = TT a

A: Triple integral

Q: If y = cos? x – sin? x, what is y? X - х, | dx

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Q: Find Duf at P. f(x, y) = sin(4x – 2y); P(2,4); u = i j - NOTE: Enter the exact answer. Duf :

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Q: Given a = 5t – 30 and y = 25 sin t dy (i) da dy (ii) dr?

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Q: 1/ Calculate ff sin fx'ty7dA where D = 2I < x?t y? <5 sin (x² +y]dA D.

A: We have to evaluate the given integral:

Q: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: If y=tan t, t=x², find dy AC sec? x? B C sec t CC sec2 x 2x sec² x² D 2.D

A: The given functions are y=tan t  and  t=x2.

Q: T/2 sin? x cos x dx 50.

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Q: dy If x = sin? (u) and y = cos2(u), then %3D dx

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Q: Given z = 2 cos t + 26 and y = 5 sin? t dz dy dy dz

A: Derivative of function in parametric form

Q: H.W Find y' for y = ecosx tan (5x) * (5x? + 1)?

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Q: If z? = y sin(xy), find at the point (-1, ".1) ду a) - 0.5 b) 플+1 c) - 2 d) -- 1 e) 0 f) 1 g) None…

A: Partial derivative

Q: where yco,t) = y (5,t) = = 2Jx2 and y cx, o) y (X,o) = 10 sin 4T X

A: We solve the differential equation by the method of saperation of variable. In this method we…

Q: Given a = 7t – 15 and y = 49 sin t dy (i) dr dy (ii) dr?

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Q: Given z = sin(9x*y+ 4xy°) , find dz dz dy

A: Now,    ∂ ∂ xsin9x3y+4xy2Treat y as a constant.=cos9x3y+4xy2∂ ∂ x9x3y+4xy2=cos9x3y+4xy227yx2+4y2…

Q: Given x? + y? + z? = sin (yz) find dz/dx %3D

A: Just differentiate with respect to x and let y as a constant.

Q: 15. S Vx sin?x³/2 dx.

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Q: dw Given, w=2iz – sin iz. Find i dz

A: Cos(iz)-2

Q: cos A where A = atjb

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Q: Given y = sin u and u = 3x + 1, find %3D %3D 9.

A: We have to solve the derivative

Q: dy ? dx If sin(r + y) = xy, what is the expression for

A: sinx+y=xy Differentiating with respect to x…

Q: rL rwax=10 and [, rw)dx= 3, then 14 - x)dx =? If

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Q: H.W Y= Sin *る

A: Given, y=sinuu=x2ex Substituting u in y we get, y=sinuy=sinx2ex Differentiating equation (1) with…

Q: xdx + sin? (y/x) (ydx – xdy) = 0 ww

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Q: Given z = 9t - 36 and y = 81 sin t dy (i) 9*cos(t) dx dy (ii) da? -9*sin(t)

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Q: Given z = 7t - 43 and y = 49 sin t dy (i) de to (ii) (1₂)

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Q: i) L {8e")=? ii) L{2cos3t}=? iii) L {e²*sin4t}=?

A: Note some formula of laplace transfomation : Leat=1s-a Lcos at=ss2+a2 Leatsin bt=bs-a2+b2

Q: Given x2 + y? + z? = sin (yz) find dz/dx

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Q: Evaluate S eas cos?(y s) ds. V2

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Q: If z = x2 + y? x = e' cos(s) and et sin(s y = ), then

A: ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s Lets find out each derivative z=x2+y2∂z∂x =2xx=etcos(s) ∂x∂s=et…

Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

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Q: If z? = y sin(xy), find at the point (-1, .1) ду a) - 0.5 b) "+ 1 c) - 2 d) --1 f) 1 g) None of them…

A: z2=ysin(xy)

Q: Find dy/dæ by diferentiating implicitly if sin (a?y?) : = x. Answer:

A: The equation given is  sin(x2y2)=x Differentiate both sides with respect to x ddx(sin(x2y2))=ddx(x)…

Q: Find d?y if y = t sin? 2t and x = cos? t dx2

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Q: d'y Find if y = 5 sin x cos r. da2 d'y %3D da2

A: We will solve the following.

Q: If y= sin?t+ tant, x= – In(– cost) – e inr, find the value of y' when t= 4 A VEle 6 2+ Vze vz 2-Vze…

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Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: Given z = 3t- 33 and y = 9 sin t %3D dy (i) da

A: I am attaching image so that you understand each and every step.

Q: given z=x2-y2, x=r cosθ, y=r sinθ, find ∂z/∂θ

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Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: If z? = y sin(xy), find at the point (-1, . 1) %3D ду b) 플 +1 d)-플-1 a) - 0.5 c) - 2 e) 0 f) 1 g)…

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Q: ‏Solve it quickly please

A: dy/dx=(dy/dt)/(dx/dt).

Q: Given that sin x+y3=ax2y, express y' in terms of x and y.

A: Objective is to find y'.

Q: dw Given w = 2ye? sin(xz), find : dw and dz dy

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Q: Given a = 12t -31 and y = 144 sin t dy (*) 12cos(t) da dy (6) da?

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Q: J ? x sin 2x dk

A: This integral can be solved by the method of integration by parts which is given by

Q: Evalnete Sin z da - Cos x dy + sin y dz. C is rectangle. o< e <Tt,0<y<], Final answer: 2 2 = 3

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Q: (D2 + D)y = cos?x+stn²xx² %3D

A: