Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 : x2 + 2y? + z2 – 8x + 12y – 2z + 35 = 0 - Also show the traces

Q: Evaluate the following sum of iterated double integrals: r4-2y eAr-r² dx dy 2 2y dx dy +

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Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: Q3) Evaluate triple integral * dz dx dy. リェーy

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Q: Given the following power series, use Alternating Series Test to prove that the series converges…

A: We have to check for x=11 given series is convergent.

Q: For items 3 - 7, use permutation or combination in solving the problems below. Many ways C O لصنجممد…

A: Total people: 9 godmothers, 9 godfathersArrangement around a round table.  Solution:  Fix one…

Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

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Q: 5) A pendulum swings though an angle of 25° each second. If the pendulum is 45 inches how far does…

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Q: 1. Evaluate the following integrals. (a) r* log r dr

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: I. Evaluate the following integrals. 1 1. -d.x x(9 – In² æ)5/2°

A: Given

Q: 3. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. x=1+3r²,…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: Consider the following. u = (-2, -6, -7), v = (-8, 1, 9) (a) Find the projection of u onto v. (b)…

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Q: +o0 (-1)*n" sin" () Σ 2n n=1

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Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

A: Here we have to use the concept of derivatives.

Q: Given the function f(x, y) = {ln (x2 + 4y2 − 4)} / [x + 1] Express the domain of f as a set…

A: The given function,      fx,y=lnx2+4y2-4x+1

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: 4). | (5 sin 2x) dx = 2

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Q: Using homogenous differential equation determine the particular solution of

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Q: 8.

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Q: i. 3. evaluate the following integral

A: I have provided this answer with full description in step-2.

Q: find dy/dx. y= (cosx-pix)^(4x)^5

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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: Find the sum of the following convergent series: [tan(2n – 1) – tan-(2n + 3)]. n=0

A: Here, the given series is: ∑n=0∞tan-1(2n-1)-tan-1(2n+3) which is a telescoping series. Let,…

Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

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Q: ystem. help (numbers) 2. (See page 530 of the text.) help (formulas)

A: a) Frequency :  T1= 2π/ω =( 2×22/7) / 14 = 22/49 T2 =2π/ω = ( 2×22/7) / 20  = 22/70 T1/T2 = rational…

Q: f(x) = 2"[In(cot(x³))]5

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Q: Given: (-3)"(x – 2)" Vn + 2 n=0 7 Use Alternating Series Test to show that the series converges when…

A: The given series,        ∑n=0∞(-3)nx-2nn+2

Q: 9. x=t2 +1, y = 3t² + 2t . d'y b) Find dx? .2 Show AllI Work and Give Answer In

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Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: Please

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Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. f(t) = t? cos 2t.…

A: Answer is in below steps.

Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

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Q: 3 < x < 2/3 < x < 3/2

A: We have to choose the correct option from the given options according to the given information

Q: 4 En=1 3 3n

A: The summation of 4/(3n-n1/3) , n from 1 to infinity.

Q: Determine whether the following converges or diverges {(5) n 2n +1 n=1

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Q: Find the area of the shac y y=xV4-x 2 y 0 21 y=0 2 square units

A: The region is bounded by the curve y=x4-x2 between x=-2 to x=2

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

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Q: VII. Let f(x) = %3D 1– 3x 1. Find a power series representation for f(x) for all r € 2. By first…

A: Solution is given below:

Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7x - 2 = 4 – 5x –…

A: f'(x) = limh→0 f(x+h)-f(x)h.

Q: Write the integral that would be used to find the volume of the solid generated when the region…

A: Given line 2x+y=6, That is y=-2x+6. x -intercept of line 3 y - intercept of line is 6 We know that…

Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: Q2) Solve the D.E xdy + (2y-x* + 3x)dx D %3D

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Q: Determine whether the following series is convergent or divergent. Vn3 n=1

A: Given problem:-

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

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Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) -

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: (-1)" Σ Given: sin = x²n+1 for x E R (2n + 1)! n=0 (-1)"(2n + 1) 4" (2n + 1)! Compute the exact…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: State difference between Roll's Theorem and Lagrange's Mean value theorem.Is the Roll's theorem true…

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Q: Find the complete solution of the differential equation using separation of variables dy 2х + 2ху?…

A: Given