Let f(x, y, z) = xre sin(x"yz) %3! 12 find dyözə³x at the point (3,0, 0) x²e*z sin(x²yz) Let f(r, y, z) = c" sin(z*yz) 12 a f find dyəzə³x at the point (3,0,0) 4 8 O 12

Q: dx 1)y /sec(3x) 2) y = Vu + 2u , x= u? - 3u

A: Definition used -            Chain rule of derivative -                             ddx(f(g(x))=…

Q: f(x, y, z) = xy°z +x*yz² – sin xy + cos yz Which of the following is the 1st order derivative of the…

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Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: f(x,y,z) be a differentiable function the point P(2,5,-1). Let at Which of the following is the…

A: Answer is mentioned below

Q: 11. Integrate the function. y? -dy (49 – y² ) 5 y 7y +C - sin"' y + C V49 – y V49 – y² V49 - y -…

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Q: what is f'of x

A: Find f’(x).

Q: p'a - p'ct) rx) =D0 %3D r'x) + kG) = 1 to p(x) r (x) + k«) = 2 sinx

A: Given that, This can be rewritten as, And the matrix for the equation is,

Q: Find the derivative of the function. 4 y = =sec² x sec² 5 O a) a) y'=sec² sec² xtanx

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Q: Find a function that satisfies the conditions f " (x)=x8, f'(0) = 13, f(0) = 10.

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Q: Let f(x, y) = cos(xev*) + cos(x + ey²) , find дхду* O a. -2ye" (sin(xe") – x cos(xev*) + cos(x +…

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Q: Normalize the set of functions "sin, n= 1, 2, 3,...", -d < x < d п d

A: Given: To normalize the set of functions

Q: Q\ Let F(x,y,z)=(sin(xy), e",2x+yz") then find: 1. Grad F(x,y,z) at (-1,1,-1) 2. Div F(x,y,z) at…

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Q: How did he get the value inside the circle f(x, y)=x² + sin(xy) Vf=x*+sin(xy)) i+ d(x²+sin(xy)), dx…

A: given ∇f(1,0)=2i+j we have to find the direction in which the directional derivative has some value.

Q: k xy' - y = x*y"

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Q: If F(x,y,z)=sin(x³y²)+cos (Vxy2)+x®y²z, then fyz(1,-2,1)=

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Q: f(x, y) = A) 0 coste y 2 sin x (x, y) = (0,0) 0, (x, y) = (0,0) c) ---- B) --- fx (0,0) D) --- ? E)…

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Q: Compute N(0) if r(t)= and prove that T(0) and N(0) are orthogonal

A: Given rt=&lt;t sin t+cos t,2t2,sin t -t cos y&gt; Then vector is given by r→t=t sin t+cos…

Q: Find the domain and range for the functions f(x,y) = arcsin(x+y), g(x,y)= 1 / square root of (3x^3…

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Q: iv is analytic = -11..

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Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: find ow/ar if w = (x + y + z)², ar www w x = r – s, y = cos(r + s), z = sin(r + s) at the point (r,…

A: See the attachment

Q: Suppose that f'is continubus, f(o)-o and f(5)= e So f'(x) sin?Cf(x) dx 4) Calculate

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Q: Let f(x, y) and let g(x, y) O 2y5 sin³ (2) z10 +y10 O sin(2ry) ry 2 g only Which of the above…

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Q: f(x,y,z)= xy²z +x² yz? – sin xy + cos yz Which of the following is the first-order derivative of the…

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Q: Let F = (t + 4) i +² sin(41) j+ t^k, G = e' i+ 4f* cos(t) j+ e$t* k and 512 -i+ 4² j+te²ª k 1 +t H =…

A: Given :  F=(t+4)i+t^ 2 sin(4t)j+t^ 4 k G=e^ t i+4t^ 4 cos(t)j+e^ 5t^ 2  H = (t ^ 5)/(1 + t) * i + 4t…

Q: x²e*= sin(x² yz) Let f(x, y, z) %3D 12 o f find dydzd' x at the point (2, 0, 0)

A: Expanding the terms as power series then differentiating

Q: 2. (5) Find f, for the function f(x, y) = sin (x + y²)

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Q: What is the first-order derivative of y = x^y?

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Q: Let F(x, y, z) = x³yz² – 6x?yz + 9xz – 5y°z. Find F %3D xyz Fxyz

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