evaluate the Pirst and second deriugive of f) = 327+5csin 3x• %3D at x= 11 , 2.5 &3.7

Q: Find the average value of f(x) = Vx [0,1]. %3D on

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Q: III. Evaluate S2(x + y)dxdy by reversing the order of integration.

A: The value of the integration is 3/20

Q: Exercise 2. Integrate the following functions. 1. S(3x+2)°dz 2. 3.

A:

Q: Evaluate L 8y (x³ + 1)² 2y by reversing the order of integration. dady

A:

Q: Evaluate J S S dydx. r4x Jx2

A: To solve this question first integrating with respect to y and plug in the limit then integrate with…

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A:

Q: Find the normal line to f(x)=ax^2-3ax at x=2. Assume that a is a positive constant.

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Q: ;Find the average value TX of the function f (x) = 4sin Cos on 2 2 the interval [1,4].

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: Find the average value of f(x) = over the interval [1, 3]. %3D (2x² + 3)²

A: The objective of the question is evaluate the average value of the given function.

Q: Find the simplest integrating factor u(x) of - xy' = (8x + 9)y + x In(x). µ(x) = %3D

A: As the given equation is an first order differential equation ,we can find integrating factor.

Q: Find the linear approximation of f(x) = e(a) at a = 1.

A:

Q: Find the MRSxy of the utility function U=In(x)+y.

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Q: Find the total differential z = 2x3y − 8xy4

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A: To analyze the effect of A, B, and C on the mean values it is required to perform a one-way ANOVA…

Q: dv v2

A: Use the basic properties of integration.

Q: Integrate f(x, y)

A: The region is defined as, Consider the conversion formulae from cartesian to polar coordinates,…

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A: In the given question, the concept of maxima and minima is applied. Maxima and Minima The critical…

Q: Find the average value of the function f(t) = v2t +3 on the interval [-1,3].

A:

Q: Find the antiderivative

A: Consider the given integral

Q: 8. What is the relationship between a and b so that F(x, y) = (ary, 3ax + bry) is source free?

A: That's easy. Have a great day!!!

Q: Integrates PDE SE ニー Zく Z8 te

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Q: Find the linear approximation to f(x) = at a = 4.

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Q: What is most nearly the magnitude of the maximum error in the linear interpolation of the polynomial…

A: Given function is yx=cosx

Q: xp (x+)ɔ zx f

A:

Q: (Which one is determined by these conditions for the bivariate functionz = f(x, y)?)

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Q: Find the linear approximation of f(x) = (5 + x)n at x = 0. Use the approximation to estimate the…

A: fx=5+xn at x=0. Differentiating with respect to x, we get f'x=n5+xn-1 Now, f0=5+0n=5n &…

Q: Find the total differential z = 5x3y2

A: The given function is z=5x3y2. Total differential: Let z=f(x,y) be continuous on an open set S. Let…

Q: dx Use Simpson's method to evaluate o x² + 9 Hence estimate error.

A: In this question first, we have to evaluate the integral through normal integration and find the…

Q: Integrate the following given .2 Vx' +1

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Q: dx Use Simpson's method to evaluate o x² +9 Hence estimate error.

A: To evaluate ∫02dxx2+9, let n=4. The Simpson's rule says that…

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Q: Let f(x) = e2sinx. Use the local linear approximation of fat x = 0 to approximate e²

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Q: Find the Integration of: Ja (3sint + esin t) cost dt In 3 2

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Q: Evaluate the integral               0∫3 (−0.5x5+3.9x4−8.1x3+2.7x2+5.9x+1.5)dx using  four-point…

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Q: Q.4 Using the method of substitution the integral fxer-3 dx

A:

Q: Find the average value of y = √ax over [0, a]

A: We have to find average value of function: y=ax  in the interval 0, a. We know the average value of…

Q: Find the average value of y = x' /x* – 1 on the interval [1,3]. A. 216/5

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Q: b) Use it in oonjunction with Simpson's 1/3 nule to integrate the same function for ive egmenta…

A: Introduction: Simpson's rule is a method to approximate a definite integral. The interval must be…

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Q: What value of x > -1 maximizes the integral / t²(3 – t)dt?

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Q: Find the 2nd solution using reduction of order. xy" +y' = 0; y1 = Inx For the toolbar, press ALT+F10…

A: Just I have used the method of reduction of order and solve in detail and find that  Second solution…

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Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: Evaluate using integration by parts o D (x²-3) e² dx е

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Q: Find L(x) (Linearization function), given f(x) = ev2x at the value a = 2.

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Q: Find the normal line to f(x) = ax 8ax at x= 9. Assume that a is a positive constant.

A:

Q: Find the average value of f(x) = over the interval [1, 3]. %3D (5x² + 1)²

A:

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.