Laplace Evaluate the following. Differential Equation 1. L{e* + cos 6t – est cos 6t} ,3t -

Q: Test the function def ined by f (x,y) = - x- 4y for its homogeneity. If it is homogeneous, give its ...

A: Find your answer below 

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (T y.) 5x - 8y = 7 25x 40y = ...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: World population' is about P = 7.68(1.0103)', with P in billions and tin years since 2020. (a) What ...

A:

Q: 1. (3r'y+4.xy' +6}tx + (* + ór*y -1lky = 0

A: Given differential equation is (3x²y + 4xy³ + 6)dx + (x³ + 6x²y² - 1)dy = 0

Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5

Q: A rectangular field whose area is 10500 square feet is to be divided into two parts as shown. Fencin...

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Q: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow to...

A: We need to find material needed.

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuou...

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Q: (I'o67 =7 %3D 2. of

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Q: The differential equation 3y(x² –1)dx+(x² +8y– 3x}dy = 0; is exact because ƏM ƏN dy Əx

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Q: dA Find the general form of the function that satisfies = - 7A. dt A(t) =| %3D

A: Given query is to find the general solution of the differential equation.

Q: It vector eqml to 0, thin Hith lamth V= 40,0,07

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Q: Choose the correct graph of y = cos x, -T< x< T: 37 2

A: Given the query is find the graph of the cos function.

Q: c/sechudu= tan -' Csinho) +c C.

A: To prove:- ∫ sechu du =tan-1(sinhu) +C

Q: Question 3 Use the method of Lagrange multipliers to find the minimum of f (x, y) = xy? subject to t...

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Q: 10- Evaluate JS where E is the region that lies inside the cylinder x² + y²dV E x? + y? = 16 and bet...

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Q: The integral expression 2x sec(5x) tan (5x) dx can be evaluated using integration by parts of the fo...

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Q: Find the area of the region bounded by: r 72 cos 20

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Q: 3n Find the equation of the tangent lines to the curve y = sin x at x = - T, 0, and 2 Graph the curv...

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Q: Let ū = (1,0, 2), ū = (0, –3, 5). Find the projection of i onto ū.

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Q: Differentiate the given algebraic function 1. y = 2x3 – 7x +1 - -1 2. y = x 2 2. y = x2- 4x 3. y = (...

A: Solution: 1. y=2x3-7x+1

Q: Consider a closed rectangular box with a square base with side and height y. a. Find an equation for...

A: A closed rectangular box with a square base with side x and height y.

Q: Given that f(10)=10 and f′(10)=4, find an equation for the tangent line to the graph of y=f(x) at x=...

A: topic - equation of a tangent line

Q: х —2 Га) lim x4-X-4 x- 3 (b) lim х+2 (х — 2)2

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Q: Francesca's gross pay for her pay period was $3,400. How much of her earnings were withheld for Medi...

A: The medicare tax is 1.45%.

Q: What is the Order of the equation? O 1 O 2 O 2/3 Оз What is the DEGREE of the equation?

A: Follow the procedure given below.

Q: Choose the correct graph of y = sin x, - T < x < 2 T; and y = csc x, - T < X< 2T: 2 1 27 -1 -2

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Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

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Q: (x+1)dy = (2xe* - xy - 2y)dx 90° %3D 381 -IS3

A: First we find integrating factor then find particular integral. 

Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

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Q: Which of the following uses integration by parts? (3) fxlnxcx In x dx ... (1) fxcosx'dx (2) fre*dx A...

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Q: 2. (2xy – sin x )dx+ (x² – cosy dy = 0 %3D

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Q: Ecuation Type (hyperbolic, homogeneous or parabolic, or elliptical) non-homogeneous a²u ôu 4- = 8.xy...

A: Note :- This is multiple subparts question. And according to our company guideline we can do maximum...

Q: 2 Find pxV 1+ 3x² dr, where P is the ellipse parametrized as follows: r(t) = , 0<t< 2n

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS.    SHOW COMPLETE SOLUTION.

A: Solving the given differential equation

Q: 4. lim (3+x2) X+-2

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Q: 4 3 Find A given that (21) = 2 1

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Q: Find the slope of the tangent line to the curve

A: Follow the procedure given below.

Q: Suppose thatEn=1 an is an infinite series with partial sums given by SN = 10 – 30 3 3 An || e4 е30 n...

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Q: Activity 3: Limits of Functions A. Evaluate the following limits by completing the table of values. ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the volume of the solid bounded by the paraboloid z=2 +x2 + (y - 2)2 and the planes z=1, x= -1,...

A: We are asked to find the volume.

Q: is an angle in standard position with T(-20, -21) on its terminal ray. Find sece O -29/21 -29/20 29/...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the following double integral (x², coS y – sin x)dxdy.

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Q: The revenue equation (in hundreds of millions of dollars) for barley production in a certain country...

A: If R (x) is the revenue function then R'(x) is the marginal revenue function.

Q: The demand function for a company's product is p = 24e-0.39 where g is measured in thousands of unit...

A: Given query is to find cost per unit for the first part and the unit sold for the second part.

Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

A:

Q: Francesca's gross pay for her pay period was $3,400. How much of her earnings were withheld for Medi...

A: Given query is to find the money withheld with Medicare.

Q: Which of the following describes a plane perpendicular to the vector n = (2, 1, -4) and contains the...

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Q: Differentiate the following function. 1 v = t8 - %3D v' =

A: We have to find derivative