find the 3rd degree maclaurin polynomial of f(x)= (x-2)/(x+3)

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: To find the sets of parametric equations  and symmetric equations of the line that passes through…

Q: 4. Integrate 4 secxtan x+ 1 cosex?x+ 4x dx . Jx 3

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Q: Determine whether the planes are parallel, orthogonal, or neither. 7x - 3y + z = 8 x + 4y + 5z = 1 O…

A: Given query is to find the angel between the plane.

Q: sec3x The integral of the given function dx is Atan3x cot 3x cot3x а. +C 9 b. – cot 3x, cot3x + C 3…

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Q: 20. What is the equation of the tangent line of f(x) = Vx = 4? A. x - 4y + 4 = 0 B. x + 4y -4 = 0…

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Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)² value of f(x) +…

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Q: b. Find all solutions, if any exist, by using Gauss – Jordan reduction method.

A: Follow the procedure given below.

Q: _8. Water is pumped into a spherical tank at a rate of 3 cubic feet per minute. Which is the correct…

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Q: 4. Use §4.4 guideline to sketch the curve: y = x- 4x/3. A). Domain, Symmetry, Asymptotes,…

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Q: y - y/x = xy?

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Q: The integral expression J xcos (2x)dx can be evaluated using integration by parts of the form…

A: This is a problem of integration. Based on the uv formula we will solve the question.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 18) 3 v = 6 O parallel O…

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Q: Let F(x) = f(x) + g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“. Determine the value…

A: Given problem:- Let F(x) = f(x) + g(x)ex + h(x)e2x + C be the antiderivative of G(x) = (x + ex )2…

Q: dy dæ3 +7 - 7y = 0 dx O 1st order, 1st degree O 1st order, 3rd degree O 3rd order, 1st degree None…

A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0

Q: -. n the base b of a triangle is increasing at a rate of 3 inches per minute while its height h is…

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Q: A brewery produces regular beer and a lower-carbohydrate "light" beer. Steady customers of the…

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Q: Is this correct? Kindly check please

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

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Q: Let F(x)= f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value of…

A: Explanation of the answer is as follows

Q: Determine the equation of the line that is tangent to y = elan (2x) at x = 8

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Q: Solve the initial value problem y" – 6y' – 16y = 0, y(0) = a, y (0) = 8. Find a so that the solution…

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Q: 0; x 0

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Q: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t) ; y = t3 - 3t2 +…

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Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the…

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation

Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

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Q: Give all solutions of the nonlinear system of equations, including those with nonreal complex…

A: y= x2 +4x  ....(1)2x-y=-8 ......(2)2x -[x2+4x] =-82x -x2 -4x…

Q: (1+ ye" + xye²)dx + (xe² + 2)dy = 0 C = xye – 2Y – x None of the choices Option 4 C = xye" + 2y – x…

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Q: xydy - (y – 3x²) dx = 0

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Q: 3. Find the projection of u = (2,1,2) onto v = (0,3,4) and the vector component of u orthogonal to…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: Given problem:- Find sets of parametric equations and symmetric equations of the line that passes…

Q: representing all lines passing thru (-1,1)

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Q: sets or parametric equations and symmetric equations of the line that passes through the given point…

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Q: y(x) = x³(2x – x²)

A: given y(x)=x23(2x-x2)y(x)=x232x-x23x2       =2x23+1-x23+2       =2x53-x83

Q: sin x e" dx Cos x

A: To evaluate the given integral.

Q: Let x = 0.1 and y = 4.73. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal digit)…

A: C=3.61 I have done solution step by step in detail....go through the solution

Q: , when the temperature of the air is 290 Kelvin, a certain substance cools from 370 Kelvin to 330 K…

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Q: Consider the helical segment of the following figure defined by the parametric equations x =…

A: We have to find value of line integral.

Q: Astivity 3 tind the deve of 2x-3 uwing 3x -2 the definition -

A: Given,f(x)=2x-33x-2We know that,f'(x)=limh→ 0f(x+h)-f(x)hTherefore,f'(x)=limh→…

Q: y(x) = x³ (2x – x²)

A: Given: yx=x232x-x2   As we know that; The Power law; ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'

Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 S(-u° -2u7 - P)du Match the integral expression…

A: Solving the problem by finding the proper substitution.

Q: (iv) Consider the arrangements in a line of all the letters of the word ISOLATION (a) Calculate how…

A: Here, the given word is ISOLATION which has 2 Is and 2 Os.

Q: Current Attempt in Progress A compact disk spins at a rate of 200 to 4000 revolutions per minute.…

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Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos (x) for x = 0.784 and y =…

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Q: Find the exact area of the surface obtained by rotating the curve about the y-axis: y = 3 + 5x2 ; 3…

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Q: Find the derivative of: 6e 1* cos( – 7x). [Hint: use product rule and chain rule!] Use e^x for e".…

A: Given query is to find derivative and equation of the tangent.

Q: The integral expression J xcos²(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: Find the average rate of change of f(x) = x² – 1 on the interval[-1,0.4]. Give your answer in…

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Q: II Evaluate the following by simple substitution: (x+5x²+4xY X-1 2. S sin24xcos4xdx

A: 1.∫x3+5x2+4xx-1dx Let x-1=t ⇒dtdx=1⇒dx=dt So, x=t+1 Now x3+5x2+4xx-1=(t+1)3+5(t+1)2+4(t+1)t…

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

A: Solution of question is written in below steps.