a²f If f(x,y) = e" sin (r + y), then prove that дхду дудх %3D

Q: integral t(sin(t^2) cos(cos t^2)dt = ___?

A:

Q: Compute dy and ∆y for y = sqrt(x^3 + 1) for the change in x from x = 2 to x = 2.03. Is dy a good…

A: According to the given information, it is required to determine dy and Δ(y) for the given function…

Q: f"Ve-1) de (e* a) (e ) da Ante 1) de Bos birak

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: ds-(s + et)dt=0 (find DE,prove if exact or not)

A: dsdt=s+et  It can be solve by integrating factor method I.F =e∫1dt =et solution of DE is…

Q: Find the general solution to the ODE using the method of Variation of Parameters: y" + y= cos² x

A:

Q: Use the intermediate Value Theorem to show that between x = 0 and x = 1, the function f(x) = 3 sinh…

A:

Q: 2. dx Ix Also, Prove that 22 %3D dxdj = dy dX

A:

Q: the linear approximation for f(x,y) = sqrt (y+cos^2 x) at (0,35) is ?

A:

Q: sin vx dx (4+cos2Vx) 4) J J (4+cos2V

A: Explanation of solution as follows:

Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

A:

Q: af dy of f(x, y) = tan (x²y³ + 2xy)? What is the

A: Given:     To determine:

Q: Find Fxx and Fxyz of: XX хуz y2+Cos (xz) f (x, y, z) : 2 Siny

A:

Q: 3. S sec z tan z dz 2 2

A: Given: 3.∫sec23z tan23zdz

Q: af Find of f (x, y) = sin %3D dx 1+ Y COS 1+y () Option 1 sin 1+ y 1+ y Ontion 4

A: Partial derivative of a function in several variables with respect to one variable is calculated by…

Q: Find the most general antiderivative of f(x) = -3e" + 10 sec2 (x), where - < x < 2 Note: Any…

A: According to the given information it is required to calculate the antiderivative of the function:

Q: یک 2. G(x) = L tanz et et +3 -dt

A:

Q: Integrate the function. dt 4-R 412 V4 -2 4t sin1 4t + C 4t - + C

A: Consider the given integral: ∫1t24-t2dt Here, the objective is to evaluate the given indefinite…

Q: Find dydx? for f(x, y) = eXy

A:

Q: fro(x- dt show that = f(x). dx y 3

A: y=12∫0xft x-t2 dt

Q: If f = 5xy2 - X³Y then find df at (1,1) dy %3D

A:

Q: Find the linearization of the function f(x) = sin(x) at a = π and use it to approximate the number…

A:

Q: Q2\ find y' when y = Vx² • sin2x + cosh 5x %3D

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: sinx D.a) Find if mx Vt + 5 dt + siny = x-x²cosy

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: y = sinx from x = = to x = n and the x axis 2

A: The required solution is:

Q: order differential coefficients as serie (b) y) when y = (7) sin 50. 50

A:

Q: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

A:

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: I = f, (sinhz + 1)dz. %3D

A:

Q: 12. Find frxyz for f (x, y, z) = sin (3x + yz)

A:

Q: Find fr and fy- f (x, y) = 4etlo dt f#(x, y) f„(x, y) =|

A:

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

A:

Q: ue of J. Note that the lows

A: Given ∇.V=1r2∂∂rr2vr+1rsinθ∂θ∂∂θsinθvθ+1rsinθ∂vϕ∂ϕ

Q: 9. Find the most general antiderivative; verify your answer by differentiation. a) f(x) = 2x*-Sx + 7…

A: a) on doing integration we get =2x^4/4-5x^2/2+7x+c this is the anti derivative of given function  on…

Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

A:

Q: The linear approximation at x = 0 to sin(6x) is A + Bx where A is: Preview and where B is: Preview

A: First of all, consider the formula to find the linear approximation at any point a for function any…

Q: Find the linear approximation to h(y)=sin(y+1) at y=0. Use the linear approximation to approximate…

A: Linear measurement is one-dimensional. A linear differential equation is an equation where the…

Q: Q4. Find an antiderivative F(x) of the function f(x) = 7 sinx / 13 + cosx , such that F(0) = 1.

A:

Q: f(t) dt t sin(rx), -? What is the value of f(5) if

A:

Q: Apply integration by parts: S udv - S vdu = uV sin2x – cos2x dx sin2x + cos2x

A: Given function is sin 2x-cos 2xsin 2x+cos 2x. Integrate using integration by parts. Chain rule of…

Q: e) Differentiate f (t) = (e-6t+ sin(2-t)) -9- %3D

A:

Q: Find f(x)

A: We have to find out

Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

A:

Q: (a) If f(x.y) = e siny - e sinx then verify that fry fyz- %3D

A:

Q: Q10.a) Find rsinx if tnx Jt +5 dt + siny = x – x²cosy

A:

Q: ds Find where Vt +s = 2s . %3D dt

A:

Q: sin(20nnt) ass A: AS(t)ln:0dd En=1 %3D %3D1

A: