5- (8, 5) 4+ (2, 3) 3+ 2+ (10, 3) 1 (4, 1) + 1 2 3 4 5 6 7 + + 8 9 10 Graph of g The graph of the function g on the closed interval (0, 10 consists of four line segments, as shown above. Let f be the function defined by f (x) = g (t) dt. What is the value of f' (3) ?

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A: To decide about the maxima/minima of a two-variable function we need to find the value of the term D…

Q: #32 by 6:00 today please

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Q: f(2) = 22(z – 1)

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Q: 3. A two-variable function f(x, y) has selected values given by y\r 3.0 -1.5 -1.0 -0.5 5.3 6.0 5.8…

A: Using the data from the given table, find the following   1. Using the central difference formula,…

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Q: 2k Q3/ Find The value of partial derivative f.(1,-1,2) of the function f(x, y, z) = tant xy + zx 2…

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Q: 12. Consider the function f(x, y) = x² + y³ – 6æy (a) Find all critical points of f(x,y). (b) Use…

A: The given function is: f(x,y)=x2+y3-6xy

Q: Let f be a function that admits continuous second partial derivatives such that ∇f (x, y) = (ax2 -…

A: Given that , ∇f=ax2-x,y2-a2 where a<0

Q: 2. The second order partial derivatives Fxx(x,y) of the function ( F(x,y) =x'y- In (x'-y)) equal .

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Q: 75. Find the value of ôz/ðx at the point (1, 1, 1) if the equation xy + z³x – 2yz = 0 defines z as a…

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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: Suppose (1,1) is a critical point of a function f with continuous second derivatives and fxx -44 fxy…

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Q: Given the following derivative = F’(x)=(x+1)(x-1)^3(x+2)^2 with critical values x=-1,1,2,-2. Where…

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Q: b) Find the mixed partial derivative at the point (1, 2). g(x, y) = sin(x) In (2y) + y ln(x) + 2xe³x…

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Q: Evaluate the first partial derivatives of the function at the given point. f(x, y) = 4x?y + 3xy²;…

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Q: 4. Consider the logistic map f(x) = (1+ v6)x(1 – x) • Find the fixed point of 2-periodic cycle. •…

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Q: Consider the function g (x) = , on the restricted domain [-8, 8]. Consider the following tables that…

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Q: a) Let X1,..., X, be iid with pdf f(x; 0) = 1/0 for 0 0. Find the method of moments estimator of 0,…

A: The method of moments consists in estimating θ by the statistic T(X1, ...., Xn)

Q: The partial derivative of a function of two variables are represented by f,(x,y) which is the…

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Q: How many second partial derivatives does f(a,b,c, d) have?

A: Let p=fa,b,c,d. Note that, for a function of two variables p=fa,b there are four second partial…

Q: Let f a function that allows continuous second partial derivatives: Vf(x, y) = (x³ - ax², y² - ay)…

A: Let us consider the given function z=f(x,y) Determine D(x,y)=fxxfyy-(fxy)2 The maxima/minima is…

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

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Q: 7.9 is the value of a function y = f(x). Identify the function. Then approximate this value by using…

A: f(x)=x1/3

Q: 10 (2). Let f be a function that admits continuous second partial derivatives such that Vf (x, y) =…

A: Introduction: Like a single variable function, a multi variable function can also have extremum…

Q: 4. Find the first partial derivatives of the function. z= xsin(ry)

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Q: 1: Let F = (2x cos(x² + y²), 2 + 2y cos(x² + y²)) and C be the curve joining (-1,-1) to (-1,0) by…

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Q: Suppose a function z=f(x,y) has critical points at (-1,2) and (0,3). Furthermore, suppose at each…

A: Let's find.

Q: 1. Let f be a function that admits continuous partial second derivatives such that: V{(x, y) = (22 –…

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Q: 5. Consider the function f(x, y) = x* + y* – 4xy+ 1. (a) Find all critical points of f(x, y). (b)…

A: Maximum and minimum of the function, using second order derivative test

Q: Find the critical points of the function f(x, y) =x³+y³+3x²-3y²-8 (0,0), (0,2), (-2,0), (-2,2) a.…

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Q: 7. Test for relative maxı.na and minima and classify the critical points of the function f(x, y) =…

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Q: Find the value of at the point (1, 3, 1) if the equation 6xz + ylnx – 5x² – 1 = 0 defines x as a…

A: Given equation is, where x is a function of two independent variables y and z and the partial…

Q: The function f has continuous second derivatives, and a critical point at (-4, -4). Suppose frz (-4,…

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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: The logistic function given by f(x)=1/(1+e^-x) is a bijection, whose domain is R and range is (0,1).…

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Q: Suppose that f(, y) is a smooth function and that its partial derivatives have the values, f.(-4,1)…

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Q: 10 (2). Let f be a function that admits continuous second partial derivatives such that Vf (x, y) =…

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Q: A tank contains 100 gal of brine in which 50 lb of salt is dissolved. Brine containing 2 lb/gal of…

A: 1 st we will make differential equation for amount of salt and then solve it to get amount of salt

Q: 2k Q3/ Find The value of partial derivative f.(1,-1,2) of the function f(x, y,z) = tant /xy + zx) 2…

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Q: (a) How many nth-order partial derivatives does a function of two variables have? 2" (b) If these…

A: Clairaut's Theorem: Let the function f(x,y) of two variables, and second order partial derivative of…

Q: 6. Suppose the function of two variables f has the critical points (0,0), and (2, 10) . Use the…

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Q: Given the discrete data points of [x,_,X,, x]. Choose the CORRECT first derivatives of the finite…

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Q: 3. Find upper bound for error of linearization of the following function at given point Po(1,2), 4.…

A: We can solve this by using partial derivative formula

Q: 13. If f is a function that admits continuous second partial derivatives such that Vf(r, y) = (x² –…

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Q: Find the average value of the function f(x)= 2x^3-3x^2+4x-1  on the interval [-1,1]

A: Given, f(x) = 2x3 -3x2 + 4x -1       [-1, 1] The average value of a function is defined as…

Q: az (8) Find variables z and y and partial derivative exists. if the equation yz – In z = x² +y?…

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Q: Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2)…

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Q: 5,2 4. Find all first and the second partial derivatives. f(x,y)=2x°y +x y

A: First order partial derivatives :fx=∂f∂x  fy=∂f∂ySecond order partial derivatives:fxx=∂2f∂x2=∂∂x∂∂x…