Evaluate the following expression. arctan(- Report your answer as a simplified fraction. Provide your answer below: Radians

Q: Compute the partial sums S2, S4, and S6. + 1.2 5 + 3. 4 + 2.3 S : S4 = II

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Q: 1 dx (use trigonometric substitution) x/1+x6

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Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: Write the first five terms of the sequence: {Vn² +n – n}, n=1 Determine whether the sequence converg...

A: given sequence n2+n-n1∞  

Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

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Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

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Q: y = sin(Ax + B)

A: Given: y=sin(Ax+B)

Q: 00 n Does the series (-1)"n*=| converge absolutely, converge conditionally, or diverge? n = 1 Choose...

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: Given the function: f(x,y, z) = x°y2² + æy° +y°z Find а. fazy: (x, y, z) b. fazyz(1, –1, 1) -

A: Given the function :  f(x,y,z) = x3y5z7 + xy2 + y3z

Q: Find the volume of the solid obtained by rotating the region below the graph of y = e-2x about the x...

A: Given problem:- Find the volume of the solid obtained by rotating the region below the graph of y = ...

Q: Calculate SN given by Simpson's Rule for the value of N = 6. dx x4 + 8 (Round your answer to five de...

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Q: 4 z = lim f(x) y 1 2 3 4 2.

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Q: 8) Solve the initial value problem. y'(x) = y(4x' +1), y(0) = 4

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Q: The e half- lite of a ra to actine material 1S lle years. Sunppose we have a 10amg sa, How much of t...

A: Given:   T = 110     N0 = 100     t = 30

Q: 6. The limit of that constant is that constant. 7. The limit of a constantc times a function is equa...

A: Since we are given with the multiple number of questions and our guideline is solve the problem only...

Q: f(x) =sin x. 1) find f'(x). Second, Third, and Fourth derivitive.   2) What is f^(4n)(x) when n i...

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Q: Determine the general solution for each given higher-order differential equation or particular solut...

A: Here we have to find out the solution of the given differential equation

Q: Consider the differential equation e' (3x-6x). Let y = f(x) be the particular solution to the differ...

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Q: Given the information below, what can you conclude about the function? f (2) = -4, lim f (x) = -4, x...

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Q: find the volume of the solid obtained by roating the region bounded by the given curves about the y-...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos²x – 1) dx = 0 2. xy' =2xex - ...

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Q: L = of €2.10 %3D 6

A: 1/6 of € 2.10 is

Q: Determine whether the vectors u, v, and w are linearly independent or dependent. If they are linearl...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin...

A: As per the instruction, we will be answering the first one. For (1),         D2+Dy=sin x The charact...

Q: Test the series at the given values of x for convergence or divergence. (x+2)" Σ n=0 7" (3n + 1) • T...

A: Given the series is ∑n=0∞ (x+2)n7n (3n+1)

Q: Solve: (2x + 3y – 5)dx + (3x – y – 2)dy = 0 . Show solution for determining the coordinates of the p...

A: Find your answer below 

Q: 15) Find the slope of the tangent line to the given polar curve at the point specified by the value ...

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Q: 11+11-12=

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Q: find the derivitive by implicit differentiation   4sin(xy) = x

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Q: Calculate the first four terms of the sequence, starting withn = 1. bj = 2 1 b, = bn-1 + bn-1 (Give ...

A: b1=2bn=bn-1+1bn-1

Q: Solve each triangle. Nearest tenth.

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Q: Find the cross product ax b: a=(2, – 1, 2), b=<0, 4, 5)

A: Given that: a=&lt;2, -1, 2&gt;b=&lt;0, 4, 5&gt;

Q: (a) lim (x) X-18 9. (b) lim f(x) lim f(x) (c) X-9 (d) lim (x) DNE (e) R-9) 9. (r) lim x) DNE

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Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

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Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

A: Solution is given below:

Q: dy re: (e + e-")- = y² (separation of variables) da

A: Given that: (ex+e-x)dydx=y2

Q: Rewrite the integral in the 5 other orders. Explain your answers. 2 4-y2 f(x, y, z) dz dy dx

A: The given integral is ∫x=0x=1∫y=2xy=2∫z=0z=4-y2fx,y,z dzdydx. The domain of integral is R=x,y,z: 0≤x...

Q: lim,->a f (9 (x)) = f (lim,->a g (x)) O True if g is continuous O True if f is continuous

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Q: answer

A: Please refer to the image below

Q: Consider the following sequence: {a,} = {n – n² } 2 +0 %3D Use an+1 - an to show that the given sequ...

A: Given that: {an}={n-n2}1∞

Q: 1 1. Write the sum of the first four nonzero terms of the power series for - (Hint: 1- 2x 1 Use the ...

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Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fy - ở² f_ (b) Find дхду

A: f(x,y)=xy+x+x cos y

Q: Find the angle between the vectors. a=(3, 4, – 2), b=(0,1,2)

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Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: Determine the general solution for each given higher-order differential equation or particular solut...

A: Given that: (D2+8D+25)3(D2-4D-5)2(D2-2D-15)4z=0,   Dz=dzdx

Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

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Q: sin xcos* xdx х cos

A: