1) Express , 4xyz dV , where E = [0,1] × [0,2] x [0,3] by using different orders of integration. Hence, find the value of the integral SL, 4xyz dV.

Q: Problem 4 Let f (z) = Let C be the circle |2| = 6n the counter-clockwise direction. What is f (z) dž…

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Q: Q1. Use the following set of data to calculate the followings; Wariance, mean, mode, median and the…

A: The mean is: x x−¯x¯ (x−¯x)2 11 -49 2401 22 -38 1444 33 -27 729 44 -16 256 55…

Q: 3.) Find the multiplicative and additive inverse of the following values. Numbers -3 5 7 -9 3 5 نت -…

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Q: Q4. With a help of suitable example differentiate between the various types of data. Discrete &…

A: In statistics data is the fundamental item and which is categorized into different categories. There…

Q: Can you please solve question and show the steps

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Q: x4-a4 If lim (108 * T), find the value of "a". С. Note: T= 96 хза х-а

A: This question is related to limit.

Q: Q3. Calculate L{e-# cos(2t – 1)} dy 1+ x Q4. Find Integrating Factor for the linear DE y = cos(x)…

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Q: (9) Consider a graph with the following set of vertices (v1, v2, v3, v4) and set of edges…

A: In our graph, we have vertices and edges, or both are defined, and to obtain a walk we need to…

Q: .. Let V R[r] be the vector space (over R) of all polynomials in a with real coefficients. Define…

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Q: Find the mean, median and mode for the following set of data;

A: Reviewing information, Given data, C.I. Frequencies 10-20 5 20-30 7 30-40 9 40-50 15…

Q: (2) Use the power property of modular arithmetic and a technique discussed in section 8.4 to…

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Q: Q2. If Y 1 30 2 25 3 20 15 10 6. 7 1 What type of relationship exists between the above set of…

A: Given:

Q: Q11. Find Fourier Series of the function f (x) = COs x , -T < x < T

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Q: oup Discussion Problem: Figure 3-8n shows the graph of y = 2 + (x - 1) sin e function has a…

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Q: 1) Determine the Fourier Series of the below waves (case (a) and case (b)) both having the origin…

A: Fourier series for case (a) is ft=8F0π2∑n=odd-1n-1/2n2sin2πnTt or ft=8F0π2∑n=odd-1n-1/2n2sin20πnt.

Q: Show whether or not the following limit exists: xy³ lim (x,y)→(0,0) [x2 + y6

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Q: b. Let X denote a discrete random variable which can take the values -2,0, and 5. Given that the…

A: It is given that, X is a discrete random variable which takes the values -2,0 and 5. We know that if…

Q: Solve the following DE (use any method) (6xy)dx + (4y? + 9x?)dy = 0 %3D

A: We are given the differential Equation: 6xydx +(4y2+9x2)dy=0  ⇒dydx=-6xy(4y2+9x2)=F(x,y) --(1)…

Q: Use the trapezoidal rule with n = 20 subintervals to evaluate I L sin? (VRx) dx. %3D Note: R = 33

A: Solution:- We have to evaluate the integral I=∫15sin2Rxdx   where R=33 by trapezoidal rule with…

Q: Factorize the followings to simplest factors: x + 4(x – 2) + 5(x2 – 2x) – 2 a. b. -64 + x6

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Q: 3. A force F = (6 + m)î – (3 + n)j – k passes through the point B whose position vector is b = î –…

A: Calculate moment:  M=r×F   =b-a×F   =i-4+mj+k--i-3j+5+nk×6+mi-3+nj-k   =2i-m+1j-4+nk×6+mi-3+nj-k…

Q: b. Let A = 17 [2.5 3).c = ; In1+ log100| and D = ‚B = C csc90° Find the following: If B2 -.D + 2AT |…

A: Given:Here A=2.5517-92, B=324-1, C=8ln1+log 10020,D=95cosec(90)2To find :we have to find the value…

Q: The trace of a square n x n matrix A = (aij) is the sum a₁1 + a22 + ... + Ann of the entries on its…

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Q: 3 x-3 4. Let f-'(x) = g(x) = x³ – 5 , k-(10) + 7 = 10 and h(x) then 8+2x x2+9 find: a. (f + g)(Vx)…

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Q: Show complete solution and explain the steps in answering

A: An article in Lubrication Engineering (December 1990) described the results of an experiment…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.