The maximum rate of change of the function f(x,y,z) = x In(yz) at (1;2;) is equal to: V17/2 None of these 4 O 3

Q: The tangent line to the graph of y=f(x)at the point (1,11) has the equation y=3x+8 (a) Find f′(1)…

A:

Q: Economists have considered the output y of a manuracturing process as a function of the size of the…

A: Derivative of function

Q: We are given the function f(x,y)=sin(3x+2πy)+exy-π, and points A(π, 1), B(π + 1, 0). Find the rate…

A: Given function is, fx,y=sin3x+2πy+exy-π. To find the rate of change of f at A(π,1) along the…

Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

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Q: Find the Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: Suppose a force of 40N is required to stretch and hold a spring 0.1m from its equilibrium position.…

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Q: What value of b > -1 maximizes the integral function

A: Given,

Q: Find the average rate of change for function over the given interval.

A: Given  y=3x-2.

Q: If the change of variables u = x -2 is used to evaluate the definite integral f(x) dx, what are the…

A:

Q: Find all second order partial derivative with respect to variable x and y. F(x,y)= x cosxy + y sinx…

A: We have to find all second order partial derivative with respect to variable x and y: Given:

Q: Determine the average rate of change of the function y = sinx from X = 0 to x = 2 O1 2

A: The average rate of change of the function f(x) can be calculated using the formula Average rate of…

Q: 2. Estimate the instantaneous rate of change of y = at x = 1. Show your work. 2x-3x+1

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Q: Find maximum rate of change of f at the given point. f(x,y)=sin(xy), (1,0)

A:

Q: A curve y = f(x) have length of the curve from x = 0 to x = 1/2. dy Vcos(2x – 2) as its first…

A: We have to find

Q: Find the maximum rate of change of f (x, y) = xy ^ 2 + root (y) at the point (2,1). in which…

A: The maximum rate of change of f(x, y) happens along the direction grad(f) at the given point (2, 1).…

Q: Use differentials to approximate the increase in the area of a soap bubble when its volume increases…

A: Let the radius of the soap bubble be a cm, then the volume of the soap bubble is: V=43πr3        And…

Q: Let f:[-n, 7] –→ R, where f(x) = 2 sin (2x) – 1. TC Calculate the average rate of change of f…

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Q: Find the average rate of change of f(x) = x2 + 3x + 1from 1 to 2. Use this result to find the…

A: Average rate of change of a function f(x) is calculated as the total change in the function divided…

Q: Find the average velocity of the function over the given interval. y= - 3x? - x, [5,6] – X,

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Q: Find the total derivative of the function f(x, y, z) =+z In (2x+1)+sin (xy) xz

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Q: Economists have considered the output y of a manufacturing process as a function of the size of the…

A: The output of a manufacturing process as a function of the size of the labor is given as follows.…

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: Relative error

Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos…

A: Given, g(t)=2+cost, -π,π The average rate of change of function f(x) over an interval [a,b] is,…

Q: ( 2x2 , xs1 Dose f(x) = continuous at x =1?why? %3D &+ 1 , x >1

A: Explanation of the solution is given below....

Q: 4y4 at the Find the maximum rate of change of the function f(x, y) point (5,1)

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Q: What is the difference between the linearization, L(x), of f at a, and the linear approximation (or…

A: Given question:- What is the difference between the linearization, L(x), of f at a, and the linear…

Q: Find the total differential. z = 10x8y6 dz =

A: GIVEN: z = 10x8y6

Q: What is the average rate of change of y with respect to over the interval [-1, 2] for the function y…

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Q: 2 10. F(s) : s+4 2s-10

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Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

A:

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: B: Use the Chain Rule to find the derivative of f(x,y) xy with respect to (t) along the path y =…

A: Solution:-

Q: The average rate of change of fx) = ax' Over the interval osxs1 IS a

A:

Q: Find the area of a triangle bounded by lines y=2x and x=1 by double integration

A: Given region, y=2x        ...(1)x = 1        ...(2) Substitute the value of x = 1 in (1), y = 2 So…

Q: The average rate of change of the function y = sinx over the interval [0, ]is 4

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Q: (5)Obtain the integral curve for x 2+y = x passing through the point

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Q: Does the differential dy represent the change in f or the change inthe linear approximation to f ?…

A: Given the differential is dy.

Q: I Eliminate the arbitrary constants 1. X = y=at + bt² - Int,

A:

Q: . Use a similar procedure to estimate the instantaneous rate of change of y = 3" at r = 0. Show your…

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Q: Find the average rate of change of the function over the given interval. y = V4x + 1; between x =0…

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Q: at is the maximum rate of change of f (x, y,z) at P?

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Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A:

Q: evaluate using Integration by Parts.

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Q: What is an average rate of change of function f(x) over the interval [1, 6]?

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the limits of integration with respect to u and v

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Q: Find the gradient of the tangent to the curve xy“ + y+ ( log_(x – 2))² = 14 at the point (3, 2).

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. F(x,…

A: SOLUTION-

Q: 1 f(x) = (x² + 3x)² at [2,3]

A:

Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…

Q: If the change of variables u = x² +1 is used to evaluate the definite integral f(x) dx, what are the…

A: given:- u = x^2 + 1 to find:- new limits.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.