Find Taylor series generated by f(x) = 3x5 -x* + 2x3 + x² - 2, at a = -1 %3D |

Q: I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin…

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Q: Use the integral test to determine if the series shown below converges or diverges. Be sure to check…

A: Follow next step

Q: 3/2 <(のーメ)CK dx 2. 2.

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Q: Let f(x) tan-(cos(32)) f'(x) =

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Q: E. Find the value of D, E, and F of the following circle that passes through (-1, 4)(3,2) and (5,2)

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Q: Use the Root Test to determine whether the series convergent or divergent. 00 n2 + 6 Σ 2. 5n + 2 n =…

A: Given: Here, an=n2+65n2+2n.

Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

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Q: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

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Q: Corfect The weekly revenue from the production and sale of x units of salt is given by R(x) = 119x-…

A: Given query is to find the units for maximum profit.

Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: b). Determine if y =x tan (x) satisfy dy_y x sec²(x) = 0 when y|x=0 = ( | dx

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Q: 14. If a baby is dropped from a height of 300 meters, its height s at time t is given by s(t) =…

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Q: Step 2 We have found that the velocity of the object thrown upward has the general solution v(t) =…

A: topic - equations

Q: 7. (n'-6n +32) (n- 4)

A: Follow next step

Q: Given f''(x) = 8x + 6 and f'(0) = 1 and f(0) = 2. Find f'(x) =

A: f''(x)=8x +6integrating w.r.t. x;∫ f''(x) dx =f'(x)f'(x) =∫ (8x+6) dx        =8x22+6x+Cf'(x)…

Q: Find the limit of s(n) as n . 1 n(n + 1) s(n) = 5.

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = -x + 7 6. g(x) = = y 81 6 2 bo 2.

A: We can find the area under the curves as below.

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = (x – 5)3 g(x) = x - 5 y 1.5| 1.0…

A: This question can be solved using the concept of area under curves.

Q: Please answer all steps, thank you!!! Correctly, and make it clear

A: According to our guidelines we can solve first four question  solution:-(a) ∫02f(x)dx=Algebric…

Q: Which is the power series representation (a) n! n=0 (b) -1)". (2n)! n=0 2n+1 (c) X-1)* (2n + 1)! n=0…

A: We have t

Q: Use the Root Test to determine whether the series is convergent or divergent. 00 n = 3 Identify an…

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Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: Use the direct comparison test to determine if the following series converges or diverges. sin?n Σ…

A: Solve the following

Q: 9. Sunshine Airlines is flying from Shelbyville to Longfield on a course of 290° for 67 km. It then…

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Q: D. Find The or mogonal traectory of the family f aurves y=

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Q: Evaluate the integral sin(t)dt

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

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Q: Consider the series E (-1)"(3x+6)" . Find the series radius and interval of convergence, n=0

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Q: Use Newton's method to approximate a root of the equation z + x + 4 = 0 as follows. Let x1 = - 1 be…

A: we have to find approximated root

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: Given query is to find series converges or diverges.

Q: 4. The temperature, T, in C, of a side of beef t hours after it is put in the freezer is given by…

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Q: e sin. *(sin x + cos x) dx ecos x

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Q: Find the Taylor polynomial of order 3 generated by x at a f(x) 1 a = 0 x+6*

A: Solve the following

Q: Find O 1/10 2/5 O 25/12

A: Follow next step

Q: Prove i = [- 2,5, 1], = [2,1, – 1] and w = [-6,0, – 12] are orthogonal. %3D %3D %3D

A: SEE ATTACHMENTS

Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

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Q: 2. Let f (x) = 3 cos(2x) – 1. (a) Find the period and the amplitude. (b) Sketch the graph of the…

A: Use function

Q: 25 18 f(x)dx f(2)dæ = / f(x)dx - 10 where a = and b =

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Q: Solve the following differential equation y" + 2y'+y = x-1

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of • sin ( z) h(x) = |.…

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Q: 5) Find cos (20) if tan @) =Ž and e is in quadrant 3.

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Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

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Q: O y= xe 2y = e"co{ 2x) is a solutiòn to yl-Gy!+13y=D0 is a solution to yll-2y'ty =0. 3X %3D

A: we have to verify the solution.

Q: Find the interval of convergence of the series. (x - 4)n Σ 8+ 5n n=0 45 19 <x< 8 -1 < x< 9 -1 sxs9…

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Q: Consider the function f(x) = 8/a + 1 on the interval [4, 6]. Find the average or mean slope of the…

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Q: . Evaluate the double integral , Sf(r,0) dA, and sketch the region R. 5. 2 S, v9– r² dr de

A: Let's find.