Write the following complex numbers in the form a+ib: 5 e7 1/4 = + i 2 el7 x/6 + i 7 e'5 z/3 + i 4 elr + i II

Q: 2. If a function f(x) is differentiable at x-a, then function f(x) is continuous at? А. х-а В. х-х…

A: Given problems:-

Q: Integral Calculus: Trigonometric Function (3

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Q: x² dx J (² – 25)5/2

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Q: ´ax²-3 -, x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .. (bx +2,x <…

A: To find the values of a and b that will make the function continuous everywhere.

Q: ********** . ...... Analyze and sketch a graph of the function. Find any intercepts, relative…

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Q: (b) S 3x5V1 – 2x³dx -

A: Given,              ∫3x51-2x3dx

Q: 1.5 3-X Evaluate the integral *dy dx using polar coordinate

A: Follow the procedure given below.

Q: LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4Dª – 45D² – 70D – 24)y = 0

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Q: Based on figure below, we get some information: Which of the following statements are true? Gambar…

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Q: 5. What are the coordinates of the centroid of the area bounded by y = x² +2, x-axis (ory = 0), x =…

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Q: JVVy+1-2 dy can be evaluated conveniently if we let x =VVy+1 - 2 and dy = 4x(x² +2)dx. (A True B)…

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Q: Q2) Solve the D.E dy + (xy-xy?)dx = 0

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Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: y= ( х-6 3 1. у %3 Зx+4,

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Problem solving: 1. What is Ax in this expression? 72 4 lim (3+ - 7200 i=1 4i C. : 41 D. A. (3 + )*…

A: As per guidelines, I can answer maximum one question and three subparts of a question. Since you…

Q: Find the Maclaurin series of the function. f(x) = 9 cos 2TX 2 (Type an expression using n and x as…

A: We know that the Maclaurin series of the function f(x) is given by f(x) = f(0) + f'(0)1!x +…

Q: S (2x² + 3)dx S(5 +) dx 4.) 5.)

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Q: Q3) Evaluate triple integral , * dz dx dy.

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Q: 1. Evaluate the following integrals. 1 1. -d.x J #(9 – In² x)5/2" |

A: Follow next step

Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1 ii. Find the interval of convergence of the power…

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Q: 2n Σ (2т — 1)" Vn2 + 1 n=1 Use alternating series test to show that the given power series is…

A: Given the series is ∑n=1∞ 22nn2+132x-1n

Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A: Answer and explanation is given below...

Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: Write each complex number in complex polar notation: 21) - 4.053 +2.042.

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Q: dy y dx when y = 1 and x = 1 in terms of %3D

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Q: n(x – 2)" 3" (2n – 1)3 - Consider the power series n=1 a. Show that the power series converges when…

A: We have to check the given series is convergent for x=5

Q: +o0 In(tan -1 x) dx 1+x2 1

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Q: Q3) Evaluate triple integral dz dx dy.

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Q: 4-x Q3) Evaluate triple integral , S S* dz dx dy.

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Q: Find the general solution of 2x². 2² + y? dx Find the general solution of (2x – y) dy 2y – x d.x dy…

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Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: +oo (-1)"n" sin" () ' Σ 2n n=1

A: According to question,Given series,∑n=1+∞-1nnnsinn1n2n

Q: Determine if the improper integral (1 e" )2 dx converges or diverges. If it converges, find its…

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Q: S dy =2/y- 5inlVỹ+ 5| + c Vy +5 A True B) False

A: I am attaching image so that you understand each and every step.

Q: Recall that e* : 리 for all x€R n: 0 (1.) Find the Maclaurin series for xc * (2.) Use the 2nd de gree…

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Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

A: LetI=∫xtan-1xdxApply integration by…

Q: п(х-2)" Consider the power series 3" (2п-1)3 n=1 Show that the power series converges when x = 5.…

A: the given series is n(x-2)n/[3n(2n-1)3].

Q: | 3xV3x2 + 4 dx = -. 2 (3x2 + 4)V3x² + 4 + c 3 1. O -;(3x? + 4)V3x2+4 + c 2. O 1 (3x² + 4)v3x² + 4 +…

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Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: Evaluate triple integral ſ´, S,2 ¯* dz dx dy .

A: We can solve this as follows:

Q: (NAS 2) Find the directional derivative of f(x, y, 2) = 2 + y + 4.xz at the point (1,-2, 2) in the…

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Q: (-1)" V2n2 + 5 n er series (x + 1)" n=1

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Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

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Q: 4. sin x dx 2.

A: Solving question number 4

Q: (-1)"-1"

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: 1 In solving the antiderivative of f(x) 2-3sin(x) by miscellaneous substitution, the substitution…

A: Given problem:-

Q: . Use the second-derivative test for local extrema (: extrema for the function. Identify whether the…

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Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Use the triple integral to find the volume of the given solid. The solid enclosed by the paraboloid…

A: Use the triple integral to find the volume of the given solid. The solid enclosed by the paraboloidx…