Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

Q: Use the Error Bound to find a valve of N for which Error CSN)<1 x 10-9. is 1.5 3x

A: Error bound for Simpson's rule is defined as follows.  For a function fx, if  f4x≤M, then…

Q: Evaluate the integral.

A:

Q: In the Taylor Señes fGx centered at im-3 Coreffi cient of Ixt3) What is the

A: Given: f(x) = (1/x) centered at a = -3 To find: Coefficient of (x + 3)3   Taylor Series of a…

Q: is intea rable Primitive aR 2 > X 3 1 2. 1 ラメラ 。 (今さ うx 31 ラ× %3D >入う。

A: we have Fx=0            0≤x&lt;12x-1    1≤x≤2and fx=1     0≤x≤12    1≤x≤2 i The primitive of a…

Q: -25 Evaluate the integral: dax x²Vx2 +25

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Q: 6dx x - √ S 3√x²

A:

Q: Evaluate the double integral: 4 LA LE 2ydydx

A:

Q: Use the Simpson's Rule to evaluate the integral fx|x²dx 1

A: Given integral is ∫−11xx2dx. We have to evaluate the given integral by using Simpson rule. Here,…

Q: Evaluate the integral. ds 7s- 2 ds = V7s-2

A:

Q: Determine whether the improper integral 3-2x) /2 dr onvergent or divergent.

A: We have to find the integral

Q: Evaluate the integral. 1//3 2-1 tA - 1 8 dt

A:

Q: The 5th Shell of an atom has a maximum capacity to contain 50 electrons. Select one: O True O False

A: To find the number of maximum electrons in 5th shell

Q: Evaluate the integral.

A: I = ∫ t21 - t6. dtI = ∫t21 - (t3)2. dtI = 13 ∫ 3t21 - (t3)2.dt       _______ (1)

Q: Differentiate y = xx (xnx) In x Inx А. B. 2(xx) In x С. 2(xmx) In x

A: here we have to differentiate the given function with repect to x. the solution is folowing.

Q: Evaluate the integral. 7t dt 1 + t2' 1 + t2

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Q: 2 dt 4+ t²

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Q: Evaluate the integral

A:

Q: Show that - In(x – V - 1) = In(x + Vr – 1)

A:

Q: Evaluate the integral. 1 ds V5s - 9

A: Given,         ∫15s-9ds

Q: Evaluate the integral.

A: Given:            ∫461t2-9dt

Q: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the…

A:

Q: Evaluate the integral. (Hint: u-sub) sec x tan x dx 5+ sec x O 5 In Isec xl + C O In 15 + sec xl + C…

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Q: Find the integral 1 dt 4t2 + 4t + 5

A:

Q: Prove using the IVT. ex + In x = 0 has a solution.

A: IVT: If f is continuous on the closed interval [a, b], f(a) ≠ f(b) and k is any number between f(a)…

Q: Evaluate the integral. dt 7– 3t

A: Use integration by substitution method.

Q: Evaluate the integral: ∫ (10t − 7)14 dt

A: To integrate: ∫(10t-7)14dt Solution:…

Q: 16j Use integral tables to evaluate, 3

A: I=32∫ 1x9x2-1 dxu=9x2-1du=18x29x2-1dxdx9x2-1=du9xHence;I=32∫ 1xdu9xx2=u2+19I=16 ∫ 9 duu2+1

Q: Evaluate the integral " -2n 1+4cost dt. 17-8cost

A:

Q: c) : Evaluate the integral xp- x2-4x-5

A: Given ∫xx2-4x-5dx

Q: Evaluate the integral. dt 5 4t | X

A: Refer to the question.The provided definite integral is as,

Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 6y + 9 -dy (?…

A: Solved below

Q: calculate the integral.

A: We rewrite the integral as:

Q: Evaluate the integral.

A: Given: ∫dt2t2+3t+1

Q: Use the Midpoint Rule to evaluate the integral fx-¹dx. Sx 1 O O O T N|W T 11133 113 21/3

A: Given integral is ∫12x−1dx. We have to evaluate the given integral by using midpoint rule. Here,…

Q: The integral of x²Inx with respect to x is; A -(3lnx+1) +C ® (3lnx – 1) +C © 3lnx – 1) +C 3 D -(Inx…

A: Product rule of integration : ∫u.v dx = u∫v dx -∫dudx∫vdxdx dlnxdx = 1x ∫xn dx = xn+1n+1 +C In…

Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.

Q: 3. Evaluate JIJ 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A:

Q: Evaluate the integral

A: ∫xndx=xn+1n+1+C

Q: 1-x

A:

Q: Use substitution to evaluate the integral. (1) [3x x° 3x²Va +1dx

A:

Q: The integral x²/4 - x²dx can be determined using the substitution 4- x2 = t.

A: Given integral: ∫02x24-x2dx

Q: 1. √2x+1 -15 2. So √x+1dx -0.5 3. 5x(1-2 4. fx√x-3 5. fx √x+1

A: The given integral is  ∫015xx+1dx

Q: In (xle)secx (2- sec²x) ha sec(3A – x) Ju"du? What should be the value of A for dr to be integrable…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to…

Q: The triple integral SL 4dxdzdy is equal to 24. False True

A:

Q: find inmporopor integreal STæra o dze

A: To solve the improper integral

Q: Evaluate the improper integral or state that it is divergent. dt 2 - 3t 4-

A: Given that: ∫4∞dtt2-3t

Q: Evaluate the integral. to dt 5/2 x2 (x² – 16}"-

A: Given:  ∫ x2 dxx2 -1652 =?Using Substittution Method:…

Q: Evaluate the integral. et dt e2t - 12et + 32 Inlet - sl -4 Inlet -4| + C e' Inlet - s| - ! e' In|et…

A: Given:            ∫ete2t−12et+32dt