fxx (x, y) = (x + y²), 0sx<1,0

Q: Differentiate. f(w) 1 + sec(w) 1 - sec(w)

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Q: The second partial derivative O f(x•g]=y'sinx

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Q: Differentiate y = Væ + Vx + Væ. y =

A: We need to differentiate the given y with respect to x

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

A:

Q: Suppose X is a continuous unknown and satisfies -a 0, and the pdf of X, denoted f, satisfies f (x)…

A: we know that the total probability is one, so the area under the PDF should be one, that is…

Q: The second partial derivative 2) {(**3)= e In y ė In g %3D 2, 2 In -a)+(9-b)

A: We have to find the second partial derivative of the given functions.please see the explanation…

Q: sec? (1/x) dx. 9: (16pts) Evaluate

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Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

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Q: Using linear approximation of f(x,y)=*+Y at (3,2), the value of f(2.94,1.94) estimated to be x-y

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Q: Question | In () 3 dt, what is F' (1)? (Do not include "F'(1) =" in your answer.) If F(z) =

A: on solving this we get the

Q: sin 8 cos (cos a cosec 0) do 1/2-a (1-cos a).

A:

Q: Let I,"Erpi). f(x) = pe"1>0 IIN, -4.Find the pdf of (a) r(m.B) (b)[(1, B) (e )r(m, nB) (d) exp(nB)…

A: X~ exp(β) We want find the pdf of  Y=∑X ~ ?

Q: How do you find the partial derivative of a given function using the definition formula?

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Q: Please explain  the range of 0<y<x<2, may i use 0<x<2 and 0<y<x to find the pdf

A: The range is nothing but the limits or the values at which the function exists. For example define a…

Q: Explain how to find a first partial derivative of a function oftwo variables.

A: To get the first partial derivative of a function z = f(x, y) with respect to x we have to…

Q: X~N(3, var=9), Y=7X-6, find pdf of Y

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Q: what are the stable equilibria (X1 ,X2)?

A: Given that, Plants depend on microbial partners (bacteria and fungi) within soil to provide them…

Q: 1.3. Study the existence and uniqueness of the solution of the initial value problem (2y – 4)y/ –…

A: Given problem:-     To find:- fy(x, y)

Q: Example 5.4.3.1 1. Find the maximum rate of change of f at the given point and the direction in…

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Q: Find the partial derivative of fy for the function * 3 f (x, y) = (3x² + y²) ³ 3x² (3x² + y²)²…

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Q: vative of o = P(1, 1, 1) in t 3 = Z

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Q: 10 F10 f(x) =a2 + 2x – 14 - compute the instantaneous slope at: (4,-4) Start with two points A:…

A: The instantaneous slope at a point is given by calculating the derivative at that point. here is how…

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.