Find d3f where f(x, y, z) = ln(x + y − z) + cos(x2y)

Q: Find f. f "(x) = 7 + cos(x), f(0) = -1, f(7x/2) = 0 %3D %3D f(x)

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

Q: Q3) for f(v) = sec2(3v – 1) and g(v) = tan?(3v – 1) show that %3D %3! f'(v) = g'(v).

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Q: true or false :  There exists a function F of two variables x, y such that dF = (x − y)dx + (x +…

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Q: Find F′(x).

A: Given Data The integral function is F(x)=ꭍxx+2(4t+1)dt.   Solve the given integral function,

Q: Let f(x, y)= x'y+2x² and find f.(1,2) and f,(1,2) %3D 3x- y 1.

A: The given function is: f(x,y)=x2y+2x23x-y

Q: Differentiate fx) with respect to g(x) of yx= xsiny

A: To find the derivative

Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t= 0

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Q: (b) sin(y²) dyda 0 X

A: The given integral is

Q: The total derivative of the function ƒ(x,y) =2x²y– xy is df = (2x² – x)dx +(4xy – y)dy b. df = (4x –…

A: df  = (df(x,y)/dx)dx + (df(x,y)/dy)dy f(x,y) = 2x^2y - xy df(x,y)/dx = 4xy - y df(x,y)/dy = 2x^2 - x

Q: . A dog is wearing a leash that is tied to a post, as shown in the diagram. Post Leash The leash is…

A: The length of leash or the radius of the circle is 30 ft. The distance ran by dog is equal to the…

Q: find dy y = sec-1 (e-x)

A: According to the question, we have to find the derivative of the expression y=sec-1e-x. To…

Q: Make z tu subject in the form of

A: Given x2a2-y2b2=1 Since we know that z=x+iy and z¯=x-iy then x=z+z¯2 and y=z-z¯2i

Q: Find the differential of y = = sec 4x + csc24r %3D O dz (8sec 4xtan4x- 8csc 4xcot4r)dy %3D O dy =…

A: Explanation of the answer is as follows

Q: Consider y=(x2+1)2x a) find dy/dx b)Evaluate y'(1)

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Q: Find f. f "(t) = 2et + 5 sin t, f(0) = 0, f(x) = 0 f(t) =

A: We can solve the given problem using the concept of application of integral.

Q: ex+1 b) Find f'(x) of f (x) = x2+3 %3D c) For y = xk+1, where k is a constant. Find y'".

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Q: For f(x1, x2) = x2 cos x1 find f'(x1, x2), f'(2,7) and df[(2,7); h]. For f(x, y, z) = (x – 2z)e"…

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Q: dy + 2xy + xy = 0 dx

A: We will solve the following using partial fraction.

Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

Q: Q2- If Z = f(x, y) = sin(x³y5) Find fyy and fyx

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Q: COs ax dx. x² + b² (q)

A: Cauchy residue theorem: If f is holomorphic function defined on simply connected open set with…

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation