f(-1,3) = 4, fr (-1,3) = 5 and fy (-1,3), then the linear approximation to f(-1,3; 3,2) is

Q: An object moves along a path with a velocity v(t) = t? – t, and the initial position of the object…

A: We will solve the following.

Q: Choose the gradient of the function \(f\) defined by f(x y) √1 (4x 5y)². O None of the others 4x+5y…

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Q: 1. Let T = [-2 1 0 5], 5 1 1 0 A = [¦ ¦] ·--[¦ ¦ ). -- [¦ ¦ ¦]. - -[] [16], B = = [1 2] C = D = 0 3…

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Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

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Q: The formula f.(0,0) = 2 means that

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Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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Q: , (х, у) (0,0) x+y f(x.y)%3D (х, у) (0,0)

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Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

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Q: Find the value of fa and fy at (1, -1) when 4 f(x,y) =+5x²+3y². xy 1. 1- = 9, f = = -7 2 2. f= = =…

A: use partial differentiation for finding the solution.

Q: Sub Yに3yこ1 passes through the point (3, 1), where its gradient is ax +b 3 Ify = 1-2x find the value…

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Q: Find the value of fææ + fyy at (1, –1) when 3 + x² + 2y?. xy f(x, y) 1. (frr + fyy)- -7 |(1,–1) 2.…

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Q: Both first partial derivatives of the function f(x.y) are zero at the given points. Use the…

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Q: Solve the initial value problem y'' + 6y' + 25y y(t) = Give the solution for 3 < t < 6. = √3 3 ≤ t <…

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Q: Give an example of ANY one nonlinear (i.e. powers of r, y can't just be 1) function z f(r, y) such…

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Q: Consider the following linear programme L. maximise -6x1 + 5x2 + 3x3, subject to Applying the…

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Q: If F(x,y,z)=x?y-y²z3 Then fz= -3y²z2

A: Given: fx, y, z=x2y3-y2z3

Q: Select the option that gives a list of the stationary points of the function f(x, y) = x – 6x² – 3xy…

A: we have given f(x, y)  We have to find the stationary points

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER f(x) =e5 "…

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Q: 8(x) 48. f(x) 2 - x' In Exercises 51–60, show that f(g(x)) = x an dom x - 1 g(x) of 51,fx) = 2r + 1,…

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Q: [3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = ,…

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: If f(x.y,z)= y + xz then f ,(1,1,1) =

A: The given function is  f(x, y, z) = y5 + xz

Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: Find the orthogonal trajectories of the family of curves y = kx'. = C (C) 3 y³ +x? = C (D) 3 y³ + 3…

A: Given y5=kx5 To find the orthogonal trajectory

Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: If z varies direct to the square of y and y varies inverse to x (x,y,x) = (20,120,100) Then find the…

A: z varies directly to the square of y, so z=my2 y varies inversely to x, so, y=nx Therefore,…

Q: If A = 3a_0 + 2a_0 - 5a_z and B = -2a_p + 3a_0- a_z are given at points P(3,T1/6,5) and Q(4,T1/3,3)…

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Q: Vy + z f(x, у, 2) 3 (а) f(1, 5, 4) (b) f(6, 7, –2)

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Q: for power substitution method, next step is * For f V1+ Vx dx - (u*) (2udu) - [u? (2udu) Option 1…

A: We have to find the correct option from the given options.

Q: z = f(st – 3, s+t°) and fi(-1,9) = 3, f2(-1,9) = 7, fu(-1,9) = f12(-1,9) = f21(-1,9) = fz(-1,9) = 2.…

A: (b) Apply the chain rule, ∂z∂t=∂f∂x×∂x∂t+∂f∂y×∂y∂tNow differentiate partially with respect to…

Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not…

A: We can take logarithmic to solve it easily.