Find the divergence. and.cur.f the fallowin.. vecter field: a. È =xej+ ye k. %3D

Q: PQRS.TUVW cube has a 10cm rib length, the angle between PV and the PQRS field is θ, the COS value θ…

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Q: Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

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Q: Find fx and fy, and evaluate at the given point.

A: Given fx,y=tan-1yx. To find fx and fy at point (2,-2). Solution: Partial derivative of a…

Q: Define the moment-ratios ß1 and B2.

A: To define the moment-ratios.

Q: The velocity of a car was read from its speedometer at ten-second intervals and recorded in the…

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Q: scribe the motion of a particle with position (x, y) as t varies in the given interva Et≤ 2n.

A: We have to describe the particle with position (x,y) as t varies in the given interval.

Q: Find the coordinates of W. When point W lies on UV such that UV:VW is 5:2

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Q: Find the area of the loop OF the given corve Curve

A: fx=x1-x2Compute the integral from a to b: ∫abftdtVisualize the area under the curve: fx>0: 0,…

Q: use the disTance Formula to Find the distonce between (e)and(3,2)

A: We use the distance formula to answer the given question.

Q: let X ~ P()find the third central moment.

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Q: What is the laplace trasform of f(t)= (e^-4t)cosh4t

A: Laplace transformation is the integral transformation that converts a function of real variable to a…

Q: E(x?) is called the second moment about orgin

A: Given statement, EX2 is called the 2nd moment about origin.

Q: Find the area of the specified region. Inside the three-leaved roser= 8 cos(30) A) 32m C)

A: We are asked to find the area of the specified region.

Q: Ss Wlith the aid of Laplace Trans Ferm, solve tLe initial Nalue problon = coscts

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Q: Find the length of the curve. Vzti + e'j + e-tk, 0 sts 3

A: Given data:     The given expression is: r(t)=<21/2ti+etj+e-tk>. The given limits of t are:…

Q: Q3. If a(t) is a unit speed curve, prove that a' (t) x a"(t). a"'(t) = x?t. %3D

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Q: A. Tme Tne Ther OB. The

A: What rare rule event states: if a hypothesis is made and the probability of a distinguished event is…

Q: for every Ê Jordon region IS a segmen ted smooth curve oriented counter clockwise ACE)= J X dy-ydx…

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Q: find corielation C

A: Calculate Correlation Coefficient r without cov(x,y), Correlation Coefficient r with population…

Q: use Lagrarge mul tipliers Sublect to the Constcair t to mekim,ze x+2y=5

A: Consider the given information. fx,y=x+4xy+6y and x+2y=5 Now, make the auxiliary function.…

Q: nd the Laplace

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Q: Sub: Date: Find Laplace Trans forner

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Q: Which of the following has more area under a curve with µ=5 and σ = 4 A.  µ ± 3σ  B.  µ ± 2σ  C.…

A: # given random variable x with mean =5 and standard deviations=4  Then to check under which range…

Q: w Find the lengths for the fallowing curvers tar=lt cose 2.

A: find the length of both polar curve as following:-

Q: Find the length of the curve 24xy = y + 48, 2 < y < 4 Select one: 17 85/85-8 243 V5 80V10-13 13 27 O…

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Q: On cogely the r y Mesiduer to Cualiete Calular (os node

A: Using the Residue theorem these types of questions can be solved by integration around the unit…

Q: A C O do O bo co ao CivicsCurriculumMa.pdf Open file ... P Type here to search B 近

A: We have to find the exterior angle

Q: Fit the data with third-order splines then evaluate x=5 3 4.5 7.0 9.0 f(x)=y 2.5 1.0 2.5 0.5

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Q: If the electric intensity in the vacuum E = Eocosθar - Eosinθaθ is the divergence of the electric…

A: In the question it is asked to calculate the curl of electric intensity given.

Q: trans, Fnd the laplace tansfam of fit) the oct<I

A: To find the Laplace transform of the below function. ft=t/τ          0&lt;t&lt;τ1             t&gt;τ

Q: Does the followlng intergral Co verge or diverge ? dx

A: Check whether the given integral is and divergence or convergence

Q: What is the Laplace tranform of (e4t - e13t)/(6t)

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Q: defirntion. yc fucon hg Suon ha hnd fhe Laplace Transfurm

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Q: Q: Prove the transfurm; formula's by definition of Laplace

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Q: Consider the following position function > CEJ= for tzo a what is the velocity of the object =VCt> b…

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Q: Calculate the laplace trans forms of the Pollowing Punction by using laplace txansform pains/…

A: (1) Given ft=10+7t. Consider                Lft=L10+7t=L10+L7t=10L1+7Lt We know that Laplace…

Q: と = ft b n byuoio や、 4 Sustable form fos a pasticular st

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Q: Determine L{te2} by using the Laplace table. Hint: Use the frequency shift theorem

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Q: 1 Find the arclength of the curvec= 3. twith 5 <t <7. 2

A: and the given interval is  so lower and upper limit is

Q: A =

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Q: Delerumine the coordnates OF,t for YX Finl te Midesint oh a seMent w

A: Please refer to the image below

Q: Find the Laplace trans farm Fis) = 4 (5+4)²

A: Given

Q: W = C - sec?(3x) – V8 )dx. Evaluate W - 6х+9 *

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Q: A figure on d coordinate plane is dilated using the rule (x, y).

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Q: WWhe cycloid SO of arch of the cycloidis genorated as t varies from

A: To find the area.under the arch

Q: "ind the orthogonal compliment to S = span{

A: Here we have to find the,

Q: E(X is called the second moment about orgin ylgn İhi

A: In this question we have to verify about the second moment about origin in the concept of mean and…

Q: Find the length of the curve 24xy 48, 2 < y €4 Select one: 17 85/85 8 243 80/10–13/13 27 O None of…

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Q: (c) Determine the natural cubic spline that interpolates the data f(0) = 0, f(1) = 1, f(3) = 4 and…

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Q: t that is only of the total distance she

A: Here, x is total distance.

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.