2(-1)n-1_ (2n)! (n!)2. 2n n=1

Q: Use Newton's method to approximate a root of the equation 3x+ 8a* + 2 = 0 as follows. Let 1 1 be the...

A: By using Newton's method to approximate a root of the equation 3x7+8x4+2=0.

Q: The graph of the following function has two slant asymptotes. y = v 25 + 16x2 Find the equation of e...

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Q: Find the centroid of the shape with endpoints (0,0),(0,4),(-2,4).(-2,6),(2,6),(2,3),(4,3) and (4,0) ...

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Q: 11. Evaluate dr if possible. If not possible, explain why.

A: We will evaluate the given integral in the following step  

Q: A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

A: Given

Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic km/yea...

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Q: consider the differential equation dy/dx=sinx/y, for which the solution is y=f(x). Let f(0)=1. Which...

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Q: I. Define the function [In(r+ 1)] cosh r + tanr ,r20 (sinh r) sec- (r – 2) S(x) = ,z <0 1. Show that...

A: As per bartleby guidelines we only give first question answers. 

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of in...

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Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

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Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: The point P is on the unit circle . If the y- coordinate of P is - 4 over 7 , and P is in the quadra...

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Q: Let A = [0, 1] and define fn(0) = fn(;) = fn(1) = 0, fn(;) = n and fn to be linear on each of the se...

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Q: 2. * S cos³y sin'y dy cos 2y cos 2y + C 48 cos 2y cos 2y 16 16 48 cos 2y + c 48 cos 2y cos 2y + c 48...

A: For the solution follow the next step.

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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Q: Perce Mandtactring delemines that the daily revenue, in dolars, trom the sale of x lewn chairs is Ri...

A: According to new guideline if a question contain more than 3 subparts then we have to solve only 3 s...

Q: Prove using the formal definition of limit that lim c = c. xa

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Q: Read Theorem 6.2 in the textbooke. Suppose that E cn an is a power series with interval of convergen...

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Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1 < x < 1, –1<...

A: ∫1a2-x2 dx = 12aln1+x1-x+C

Q: 45. s 2 2 sin t -

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Q: 3. Determine whether F is a conservative vector field. If it is, find a function f such that F= Vf. ...

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Q: J. Hadrosaurs, a family of duck-billed, plant-eating dinosaurs, were large creatures with thick, str...

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Q: 1. Using Logarithmic Differentiation, find dy given that dx -3 sec-(VT) y = 4*(log2 r)sech z"

A: This is a problem related to differentiation of the function. Based on the logarithm property we wil...

Q: Determine whether the improper integral diverges or converges. 1 e2x + e-2x dx O converges O diverge...

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Q: 17. у %3D 5x + 1, у%3D6, х%3D0

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Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

A: Given query is to find the derivative of the expression  

Q: 12) Find the volume of the solid bounded by x² +y² = 4 and z=x+y in the first octant.

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Q: S tan36x sec106x dx

A: I=∫tan36xsec106xdx=∫tan26xtan6xsec106xdx=∫sec26x-1tan6xsec106xdxLet sec6x=u       6tan6xsec6xdx=duI=...

Q: Consider a birth and death process, X = {X(t)} : t ≥ 0 with the 4 states, S = {0, 1, 2, 3} and insta...

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Q: du 17. t - = t² + 3u, t> 0, u(2) = 4 dt

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: The given function,     gt=t5-t, t&lt;4

Q: Manny painted a 4 sided figure inside a circle whose radius measure 30 cm. Each side of the 4 sided ...

A: Given that Manny painted a 4 sided figure inside a circle. Radius r=30 cm Side of a figure s=13 cm W...

Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

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Q: Find the area of the region bounded above by y = 6x - x2 and below by y = 2x. AY 10- 8 6 4 2- X -10-...

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Q: Let f(x) = 5x². a) Find the linearization L(x) of f at a = 5. b) Use the linearization to approximat...

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Q: using the first derivative test, determine the relative extrema of the function f(x)= 1/3x3-2x2-5x-1...

A: Given query is to find the extrimas for the function.

Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

A: Finding the Area by taking the vectors

Q: Use the chain rule to find the derivative of  f(x)= 3(3x^10-6x^9)^17 You do not need to expand out ...

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Q: Let fix) be a function that is continuous on the closed interval [0, 4]. Using the information in th...

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Q: the equatic OI the to the grapi of point (1,0).

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Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

Q: For the series determine whether it converges or whether it diverges. As part of your solution, clea...

A: Given series ∑k=0∞1k3

Q: Use Newton's method to approximate a root of the equation a + ¤ +2 = 0 as follows. Let I1 1 be the i...

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an an...

A: f(x) = 3x2 -x3  For relative maxima , f"(x) &lt;0 For relative minima , f"(x) &gt;0 

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 v cos 50 de

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Q: Is the solution correct? Question: 8, E(-1)" (n + 1) x" (converges for -1 < x < 1) to find a series ...

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 4 – x, [-3, 2] minimum (х, ...

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Q: 7 Find lim E n-00 k=1 n+7k

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Q: Evaluate the integral f cos x(1 – sin æ)-1/² dx. O In(1 – sin z) + C O In (sin z) + C O In (cos z) +...

A: To evaluate: I=∫(1-sin x)-12dx=∫(1-sin x)-12cos x dx

Q: Evaluate tot? xe*< + y2 + 22 dv, where E is the portion of the unit ball x2 + y² + z2 s 1 that lies ...

A: Triple integral