Find G (u), the antiderivative of g(u) = cos² u sin u du

Q: Compute for the general antiderivatives of the functions 1. [2 sin x cos x dx 2. ſe2x dx

A: Given integrals, 1. ∫2sinx cosx dx2.∫e2xdx

Q: Let y = 2x2. Find the change in y, Ay when x = 5 and Ax 0.1 Find the differential dy when x = 5 and…

A: We have to solve

Q: al derivatives of t 'sin(z+y)

A: According to our terms and condition i have solved first question for next question repost

Q: Find the differential of the given functions. a) f(x) = sin(cos(22)) CoS %3D 2x b) g(x) x3 – 7x

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Q: Given the composite function y=lnu,u=cosx. Express the differential of y in an invariant form.

A: We have been given a composite function. Let's call y = ln(u) as the outer function and u = cos(x)…

Q: b) Find the potential P(x,y) attached to the exact ODE 2r sin(y) + x* cos (y) y = 0

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Q: For functionf (x, y) = e*y + cos(x – y), write the first and second order full differentials

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Q: find the antiderivative F(x) of f(x)=x^2+sin(x)+3 with F(0=8

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Q: Let y = tan find the differential dy of the function.

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Q: Find the differential dy, then evaluate: y= 2x3+ 6x-| when x= -2, dx= 0.l

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Q: Find the DE by eliminating the arbitrary constant  y = A+ bex

A: Given equation  y=A+be^x Where A & b are arbitrary constant.

Q: f) y= xcos(xln x) g) y= 3(sin 2x – x* }** In. 3x'e** h) y= cosx

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Q: Find the most general antiderivative of the function. f(x) = + 3 cos x

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Q: Find the differential of a) y=s/5+3s b) y = e−u cos(u)

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Q: + Use Separation of variables to solve eくX<| Us co,t)こ0 I4 pts] ULx,0) = X

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Q: dw where w sin 8x cos 3y, x= dt Use the Chain Rule to find 2 and y = t". dw dt (Type an expression…

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

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Q: Find the differential of the function. z = e ** cos(8nt)

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Q: Find the differential of the function. y = V 4 + cos(0) dy =

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Q: Find dz/dr if z as a two variables function in r and y is defined implicitly by y3 + x22 + r sin r…

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Q: Let y = f(x), where f(x) = 3x+6/x+6 Find the differential of the function. dy =?

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Q: 3. x cos x dx

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Q: of

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Q: Let y = tan x. (a) Find the differential dy. (b) Evaluate dy and Δy if x = π/3 and dx = -0.2…

A: Let,  y=fanxa To find differential dy, differentiate y       with respect to x,        dy=sec2x dx

Q: Let y = tan(4r + 8). Find the differential dy when a = 3 and dæ = 0.1 Find the differential dy when…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x/7- x² = Ap %3D

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Q: Find the general antiderivative of the given function. f(x)= sin (7y)+ cos (3y)

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Q: Find the potential P(x,y) attached to the exact ODE 2x sin(y) +x² cos(y) y' = 0

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Q: Let z = x?y + 3xy+ where x = sin 2t and y dz find = cos t. Use the chain rule to when t = 0. dt

A: See solution below. Using definition of chain rule.

Q: Find f. (Use C for the constant of the first antiderivative, D for the consta f"'(t) = Vt - 3 cos(t)…

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Q: Find fa, fus and fz. f (x, y, z) = (5z)) 3z In (x*y cos

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Q: Let y = 4 a. Find the change in y, Ay when x = 3 and A¤ = 0.3 %3D Find the differential dy when x =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 2. F(x) = fr Cos t dt %3D

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Q: Find fa, fy, and fz. f(z, y, 2) = z In (a*y cos(52)) z In (a*y* cos(52)) fr = fy = f2 =

A: First order Partial differentials

Q: 1. e+sin z- COs I 2e-u(t)dt

A: Part(1):-

Q: find ƒx , ƒy  . 1.ƒ(x, y) = e^(xy) ln y 2. ƒ(x, y) = cos^2 (3x - y2 )

A: Hi! You have uploaded multiple questions. As per norms, we will be solving only the first question…

Q: Find f. (Use C for the constant of the first antiderivative, D for the con f'(t) = Vt - 6 cos(t)

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Q: se the Chain Rule to find dw/dt. w = INVX2 + y2 + z² x = 9 sin(t

A: Here we have to use the chain rule to find dwdt=? w=lnx2+y2+z2, x=9sin(t), y=3cos(t), z=5tan(t)

Q: Determine the numerical value of dF of the function F(x, y) = e-3y cos(nx) given that X = 1, y =…

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Q: Find the total differential. w = e3Y cos(5x) + z5 dw

A: The total differential of a function w= f(x,y,z) with continuous first partial derivatives in a…

Q: Find the most general antiderivative of f(x)=6e^x+5 sec^2(x), where -pi/2

A: Please see the answer below

Q: X Cos 9TTX² dx 2. 2. V= dTx²

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Q: r nosへSう'" ( メンン 2 COS(SIn (x))

A: Let, cos(sin-1x)=t⇒sin(sin-1x) 11-x2dx = dt⇒x11-x2dx = dt...(1)

Q: Find the antiderivative of the function f(x) = - 4 sin (4x) when C = 0. The antiderivative is

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Q: Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Given  data  xey+2z-cos(xy)+ey-ln2=4  ,  A(ln2,0) Also given  when x changes by (dx=0.01) and y…

Q: Find the most general antiderivative of f(x) = sinh a + sin x.

A: Given that f(x)= sinhx + sinx. Find antidervative of this function f(x). We know that antidervative…

Q: * sin(Iny)dy is equal to y A -cos(ny) + C B none of these cos(Iny) + C y D cos((ny) + C cos(Iny) + C…

A: A standard integral in some cases can be converted to a standard integral with an appropriate…

Q: Find the most general antiderivative of f(x) = sin x cos x .

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Q: Find the antiderivatives |x In(x²) dx + sec? x dx CO X dx sin5

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Q: Find the total differential. w = e7Y cos(4x) + z7 dw

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