The gradient of f(x, y) = e²¹ sin(1 - y) at (x, y) = (-3,-1) is defined as followed: V f(x, y) = (fz( – 3,− 1), fy( – 3, − 1)). Then fz(-3,-1) = fy(-3,-1) =

Q: Q2) a) Find Maclaurin expression of f (x) = Cosh (x) b)Find the gradient of the function f(x, y, z)…

A: Part (a) General form of function fx is Maclaurin series is…

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (2, 1, −2), u'(2) = (7, 1, 8), and v(t) = (t,…

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Q: 2. Find the gradient of the function f(x, y) = ln(x² + y²) at the point(1, 1).

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

Q: Find the gradient Vf and the directional derivative at the point P (1,–1,2) in the direction a =…

A: The given function f(x, y, z) = x3z - yx2 + z2.The gradient of a function f is defined as∇f(x, y, z)…

Q: Solve the differential equation by making the suitable transformation (10x-4y+12)dx - (x-5y+3)dy =0

A: We are given the differential equation, (10x-4y+12)dx - (x-5y+3)dy =0. So, dydx=10x-4y+12x-5y+3.…

Q: The gradient of V = x²sin(y)cos(z) at the point (1, 5,0) is إختر أحد الخيارات: 2i + j a O 7+ 25.b O…

A: Given function is  V=x^2 sin(y)cos(z)

Q: The gradient of f(x, y) = xy at (x, y) = ( − 1, 2) is

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: The directional derivative of f(x, y) = √5x + 3y at the point (4,3) in the direction corresponding…

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Q: The gradient of f(x, y) = xy at (x, y) = (2, 1) is

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Q: Let f(1,y) = (r+ay°,r²y°,2r + by), g(u, v,w) = (3u² + bv² + w°, uvw). Find the derivative of…

A: Let f(x, y)=x3+ay2, x2y3, 2x+by,  gu, v, w=3u2+bv2+w3, uvw. We need to find the derivative of fgu,…

Q: 4. Find the gradient of the function f(x, y) = cos(x² + y²) at the point (3,-4). 5. Find the…

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