Find second order partial derivates of the following function

Q: f: {0, 1}2 → {0, 1}3 f(x) = 0x. %3D What is f(10)? f(10) = Ex: 100 Select all the strings in the…

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Q: 2. Let f(x)=2x²- x- 3 and g(x)=x+1. Find each function and determine its domain. 2a. (f+g)(x) 2b.…

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Q: Synthesize the following functions in Cauer form. 5³ +25² + s + 1 5³ +5² +5 Z(s) Z(s) Z(s) 5³ +5² +…

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Q: Write a Pseudocode for a function that takes an integer n 2 1 and returns f(n) where f(n) = 3…

A: Solution: Input : n ≥ 1 Output : f(n) = 3.(f(n-1))2 + 2.f(n-2)  [Known information:      f(0) = f(1)…

Q: Draw a function f(x), defined for all real numbers x, with one local maximum and two local minimum.

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Q: Let T be your family tree that includes your biological mother, your maternal grandmother, your…

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Q: Draw a function f(z), defined for all real numbers z, with two local maximum and one local minimum.

A: We will draw a function which has two local maximum and one local minimum.

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Write the formula of partial derivation with respect to x?

A: Partial derivatives  Let  f(x,y) is a function given , in which f(x,y) partially depends on x and y,…

Q: Find the wronskian of f1=x4, f2=-x4, f3=x2, f4=-x2

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Q: Viewed as a function f: R → R, a polynomial of even degree is never injective. True False

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Q: Consider two one-to-one functions f and g for which the following statements are true: • Domain of f…

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Q: (c) If each fn has a finite number of discontinuities, then f has a finite numberof discontinuities.

A: The given statement is: If each fn has finitely many discontinuities then f has finitely many…

Q: Find the degree of homogeneity for the following function. f(x1 , x2) = x31 + x1x2

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Q: Consider the recursive definition of the function f(n) f(0) = 0 f(n) = 1+ f(n-1) Find ƒ(1), ƒ(2),…

A: Recursive relation: It is an equation which represent a sequence based on some formula. From the…

Q: Suppose two function machines are hooked up in a sequence, so the output chute of machine g empties…

A: Answer is below

Q: The domain of the function g(t) = /t – 9 i. O (-0, –9) O R-{9} O (9,00) O [9, 0) O R

A: all the values which can be used as input in a function is called domain of a function

Q: Q3. Using interpolation, approximate the following function by a polynomial of degree at most 3…

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Q: Suppose two function machines are hooked up in a sequence, so the output chute of machine g empties…

A: we given   f(x) =2x g(x) = x+6 F(x)= f( g(x) )

Q: Define a function S: Z + --> Z+ as follows. For each positive integer n, S(n) = the sum of the…

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Q: Suppose that a function ƒ(x) has the property that ƒ(x1 x2) = ƒ(x1) + ƒ(x2) for any two positive…

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Q: If f(x) has a domain x≤-1 and range y≥-1 , then determine the domain and range of g(x) given that…

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Q: Use the mathematical definition of concave and quasi-concave functions to prove that: 3. (a) The sum…

A: A real-valued function f {\displaystyle f} on an…

Q: example of two functions t₁ (n) and t₂(n) that satisfy the relations t₁(n) w(n²), t₂(n) = w(n²) and…

A: Given that the two functions t1(n) and t2(n) that satisfy the relations                t1(n)=ω(n2),…

Q: I Express as partial fractions

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: Let y=f(x) be a function with domain [-2, 6] and range [-4, 8]. Find the domain D and range R for…

A: Given that y=fx is a function having domain and range are -2,6 and -4,8 respectively. Find the…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.