(x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C 4 In(x + 2) – x + 2 x +2+ C

Q: [4] s **-2x³-2x x²+1 [4] S² > [5] S dx dx ex-1

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x+4, g(x) = 2x - 7x-4 ... (fo g)(x) = 2...

A: As we know from the definition of composite function; fogx=fgxgofx=gfxfofx=ffx   Given: fx=x+4, gx=2...

Q: dy +Zy =0 du

A: Given: dydx+2y=0   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where 'a' is the constant....

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Q: (4) Y dy ху+у? dx x2

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Q: P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the ...

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Q: f(x) = x² + /7 – x, a=4

A: We have sove limit and showing function

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A: Given'    z = 1/2 y2 + 3     Limits: 0≤y≤3

Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 5 sin 2x y(x) =

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Q: 3. dy = ( x - 3y)dx

A: Let's find. 

Q: 21. cos x cos 2x + sin x sin 2x

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Q: The graph of g(x) is shown. 4- -1 3. 4 If it exists, compute the exact value of lim g(1.75 + h) – g(...

A: Explained below 

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A: Given that a integration of (arcsin2x)2. We solve this integration by using general formula of the i...

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Q: 器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

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Q: What is the symbolic form of the argument?" Sad svd S .. d .. d Option 1 Option 2 Sad svd S ... d .....

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Q: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

Q: Function g is graphed below. Select all correct statements about g at x = 3 a. Both lim g(x) and lim...

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

Q: Solve the following DE using separation of variables or method used in solving exact DE

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Q: y'(2y - x exY) = 2 +yexy

A: Given that:

Q: ,if x>2 Find the correct value of bb that makes

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Q: Question 12 Find the moment of inertia of the region between the parabola y = 9 - x2 and the line y ...

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Q: Two forces, with magnitudes 2 N and 3 N, act on an object at 10° to one another. Determine the resul...

A: Given that: Two forces are: 2 N and 3N acting at 10° to one another.

Q: Calculate the work (in joules) required to pump all water out of a full tank. Water exits here. d. C...

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Q: 3. In (cose) tane de

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Q: Find the equation for the plane through the points Po(1, – 4, – 2), Qo(3, – 3,0), and Ro(5, - 1,0). ...

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Q: dy + ( 1+x)y = e * sin2x dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: sin2x C. Evaluate lim- using table of values. Let x takes on the values 1.5, 0.8, X-0 0.5, 0.2, 0.03...

A: Given:limx→0sin2xx

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Q: 2, 1³ – 6, if a 2 9. Determine whether each of the given limits exists or does not exist. a. lim f(x...

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Q: Question 17 Complete the integration: Determine the value of "?".

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Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = 3x+1, g(x) = ...

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Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx. (Ro...

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Q: lim (fx) f(c) lim f(x) DNE X-4 f(4) = 3 Once again we see that lim (fx)) and f(c) are not the same. ...

A: Here, the given function is: f(x)=x3-1  

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A: Pyramid has four lateral faces and one base face. Total surface area = base area + 4 lateral face ar...

Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

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Q: Subtract in the indicated base. 10024 3224 10024 3224 4

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Q: Graph the function fix) =x -1 over the interval (0, 21 Partkion the interval into four subintervals ...

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Q: Estimate f(1.02,2.98) given that f(1,3) = 5, fx(1,3) = 3, and fy(1,3) = −5 where fx = partial deriv...

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Q: Subtract in the indicated base. 1002, 3224 10024 3224

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Q: Suppose that L is a location function of an object, given as L(t) = /3t + 1. We will compute the ins...

A: Solution of given question is written in below steps.

Q: Using the fact that y1(x) e* is solution of the second order linear %3D homogeneous DE (7+ бх) у" — ...

A: First we find y2 (x) then find y(x) using initial conditions. 

Q: В. Find all vertical and horizontal asymptotes. 2x2 +2x+1 15. f (x) = 5x3+3x-5

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