If f(x,y) = sin(xy) +x² In(y) .Find fyx at (0,1/2) %3D а. 1 b. -1 с. О d. none of the above

Q: a) Find the differential dy, and b) evaluate dy for the given values of x and dx. y = e*/10 x = 0,…

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Q: The approximation of I = xe" dx using Simple Simpson's rule is:

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). Simpson's…

Q: Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 d0)

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Q: Find the differential and evaluate for the given x and d/x of the function, y = tan x, x = 0, dx =…

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Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: 20. Evaluate dædy by changing the limits of integration appropriately. e y/2

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Q: The linear approximation at r = 0 to sin(2x) is A+ Bx where A is: and where B is:

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Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

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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: Given x= 2y? , evaluate dx dy at y = 1 and dt dt 3.

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Q: Use Euler's method to find the approximate value of y correct up to 4 dy =x-y² decimal places for…

A: The numerical solution of the differential equation is the value of the function that satisfies the…

Q: (a) Find the differential dy. y = ex/4 dy = (b) Evaluate dy for the given values of x and dx. X = 0,…

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Q: 2. Use Euler's method to find the approximate value of y correct up to 4 dy decimal places for…

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Q: dz evaluated at dt If z=tan In with x=sec t and y=eª. Then the value of t= 0 is equal to ...…

A: Chain Rule Let us consider the function z=f(x,y) where, x=g(t) and y=h(t) Differentiate the function…

Q: (a) Find the differential dy. y = ex/5 dy = (b) Evaluate dy for the given values of x and dx. x = 0,…

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Q: (a) Find the differential dy. y = rad(15+x2) (b) Evaluate dy for the given values of x and dx. x =…

A: a)   The given function is y=15+x2. The differential of y is,…

Q: Find dw/ dt at the given value for the following functions Z 2 X Y x= cos² (t).y = sin² (t).= = =,…

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Q: z= cos y Using the substitutions the DE (3cos y - 5x) dx – 2x?tan y dy=0 reduces to dz= - sin y dy

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Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: dw w=x +y, x-cos r, y-sin/ ise dt Irm

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Q: Given dy dy +2- dx + 5y = e and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the %3D…

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: If y = In(x² + 5) + sinx function then ay at x = 0 is ? dx 11 10 1 10 O 1 O 5

A: Given, y=lnx2+5+sinx  We have to find  dydx at  x =0

Q: How would I evaluate ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above the cone Φ =…

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Q: In the given DE, cos z + In y + ( +e) dy 0, de integrating M (x, y) with respect to x generates a…

A: Here we are given a differential equation And we have to find the function g(y). For this first we…

Q: How can I evaluate ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above the cone Φ =…

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Q: (ylny - e¯xy)dx + ( + x lny) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact differential equation. If it satisfies the…

Q: (a) f(x) + cosh(47) (b) f(z) = VI In(|tan(9r)|) tan n(x) psin(z) 12 (c) y = dt

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Q: The linear approximation at z = 0 to sin(4z) is A+ Bz where A is: and where B is:

A: Linear approximation is found by L(x)=f(x)+f'(x)(x-a) Differentiate L(x) with respect to x.…

Q: (a) Compute the average temperature of a wire in the shape of a helix c(t) = (cos(t), to, sin(t)), t…

A: To find- Compute the average temperature of the wire in the shape of a helix ct = cost, t10, sint, t…

Q: 1. Differentiate the following: G(t) = sinh(In t) %3D G (t) = ? a. Cosh 3t b. y = ?

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Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.

A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…

Q: (a) Find the differential dy. y = tan(x) dy = sec?(x) (b) Evaluate dy for the given values of x and…

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Q: Find dw/ dt at the given value for the following functions 1) w=x² + y²₁ x = cos(t), y = sin(t), at…

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Q: If y = arctan (In x), find dy/dx at x = 1/e. %3D %3D Select the correct response: O e/3

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Q: sin x +x) dx Acos² x S(sin t + t) dt 8 dx cSC X

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Q: dy Given y³ In x + x¹e³y = sin-¹(xy), compute da

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Q: if y=tan u, u=v -1/v and v=ln x, what is the value of dy/dx at x=e

A: We have to find dy/dx .

Q: Find the value of integral | (22 + y² + 2)ds, where C is parmeterized by F(t) = (cos(4t), sin(4t),…

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Q: Of Find the general solution for the following first order D.Es? (Answer two only) sinx+cosh 2y-…

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Q: with x=sec t and y=e". Then the value of dz evaluated at dt If z=tan In t= 0 is equal to (Correct to…

A: Given function z=tanln4x2y with x=sect and y=e2t Substitute the x=sect and y=e2t in the given…

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: dy of the following functions. dx Find X. a) y = eV cosh¯1 %3D

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Q: CT/4 p2 sin x cycosx JJI y dz dy dx

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Q: (a) Find the differential dy. y = ex/4 dy =| (b) Evaluate dy for the given values of x and dx. x =…

A: Given y = ex4(a) we find the ditterential d y(b) Evaluate d y for the given values of x  and dx…

Q: The linear approximation at and where B is: = = 0 to sin(9x) is A + Bx where A is:

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Q: Find the differential dy and (b) evaluate dy for the given values of x and dx. y=ex/10 , x = 0, dx…

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Q: (a) Find the differential dy. y = eX/2 dy = (b) Evaluate dy for the given values of x and dx. X = 0.…

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Q: In the given DE, cos x + In y + ( + ev = 0, integrating the coefficient of dx, M (x, y), with…

A: We will find the g(y) as shown below