Write the integral that would be used to find the volume of the solid generated when the region bounded by the x-axis, the y-axis and 2x + y = 6 is 2x +y+6 revolved about the x-axis.

Q: Use the 3rd Degree Maclaurin polynomial for g(x) to approximate the value of 0.2 cos(0.1). = x COS…

A: Here, the given function is: g(x)=x cosx2 Now, we know the series of cos x, the series of cos x is:…

Q: 1 Given that 1 1 with > x" with convergence in (-1, 1), find the power series for - r. n=0 center 3.…

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Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 7z + 13 =…

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Q: Determine C, and C, so that y(x) = C¸ e²* + C2e* + 2sinx will satisfy the conditions y(0) = and…

A: Put x=0 in y(x).

Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

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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: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

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Q: Find the third degree Maclaurin polynomial for f(x) = cot-1(x) and use this to approximate…

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Q: 8.

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Q: 3) The region bounded by y = x³ – 1 and x- axis on the interval [-1,2].

A: We need to find region bounded in given interval.

Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: Which of the following vectors are not linearly independent? 日L O B O A

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Q: If m < f(x) <M for a <x s b, where m is the absolute minimum andM is the absolute maximum of f on…

A: We need to find smaller and larger value.

Q: Which integral that cannot be solved by the substitution method? Integral mana yang tidak dapat…

A: Which of the integral is not solved by substitution.

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

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Q: Determine if the improper integral dx converges or diverges. - If it converges, find its value.

A: To determine whether the given integral converges or diverges.

Q: Use polar coordinates to evaluate sin (a² + y²)³ dA, R

A: We have to find value of given double integration

Q: Q. 1) The table below gives the readings from a laboratory experiment. Time (t) |3 5 6 Reading (y) |…

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Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: 678 COS (x³) dx 3

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Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

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Q: 36) y = 2 sin x - 4 10+y 8-

A: to find the differentiation of given function.

Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y + z =…

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Q: +oo (-1)"n" sin" () ' Σ 2n n=1

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

Q: бх — 8г2 — 5 dx (2л — 1)(4г2 + 1) -

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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: Given: 00 (-3)"(x – 2)" n Vn + 2 n=0 Determine the radius and interval of convergence of the power…

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Q: dx 3 x² (9x²-4) 7

A: We have to use properties of integration to solve the question

Q: Provide the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

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Q: . Evaluate the integral. Shade the region whose net area you have found. 3 Ax) S(-x+3x* + 1) dx =

A: Given problem:-

Q: A true statement for the function f(x)=2x³-3x²+10 is.... Pernyataan yang benar dibawah ini untuk…

A: The given function is: f(x)=2x3-3x2+10 Now, f'(x)=2(3x2)-3(2x)=6x2-6x=6x(x-1)

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

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Q: If f(x)=2x²- xª, then f(x) has... Jika f(x)=2x²- xª , maka titik ekstrim relatifnya adalah.... 1. O…

A: f(x) = 2x2 - x4 we have to differentiate function and find points f'(x) = 4x -4x3 f'(x) = 0 4x -4x3…

Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ... ....E Persamaan garis singung…

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Q: f(x) = x²+2x+1 g(x)= x+3 Set up the integral to find the area between the two curves. 1 -3 -2 -1

A: We have to find area bounded by the given curve.

Q: Find the general solution of the given system. dx бх — у dt dy = 5x + 2y dt (x(t), y(t)) =

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Q: (2 tan¯'n – T)

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Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

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

A: To solve the following problem

Q: dy Find dz and simplify: y=ln[tanh(ax)] where a = constant

A: Topic = Derivative

Q: Keith is flying two kites. He has 100 feet of string out to one kite and 110 feet out to the other…

A: From the given information, we have to find the distance between two kites.

Q: y = (cos COS T 4x5

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Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

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

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