Use a Maclaurin series in this table to obtain the Maclaurin series for the given function F(x) = x cos(6x) n =0

Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: SUTM i) Find the domain 1. Given z = f(x, y) = /36 – 9x² – y-. of the function. ii) 3 UTMd rano UTM…

A: Let's find.

Q: Use the Taylor series for f(x) = Vx, centered at a = 16, to approximate the numerical value of v17.…

A: This question can be solved using the concept of Taylor series centered at a.

Q: 1. Rules of LDef nite Integrals: 12 a) b) rpx 12 12 f(x)dr 4, find the If f(z)dr = 12, " $(z)dz = 6…

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Q: Find the divergence of the vector field F. F(x, y) 4xe*i 6x²y?j

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Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

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Q: Answer the following questions for the function f(x) = x/x? + 1 defined on the interval – 5 <x < 7.…

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Q: Q1) Determine if the following integrals converge or diverge. If the integral converges determine…

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

Q: Find div F and curl F if F(x, y, z) = xz³i+ 4y°x²j+ 6z²yk. div F= curl F =

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Q: Problem No. 1: Evaluate - dx using basic substitution method.

A: First I have used the substitution to make integral easy and then evaluate it.

Q: Colleen's office equipment is depreciating at a rate of 9% per year. She paid $24,500 for it in…

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Q: 24) Identifa tue internel of convergen ce of a power ser's Ž (3)" n-1 (-3)", n=) a ) b) c) d) 3 2x23…

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Q: fsin 3xcos3xdx 19.

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question...…

Q: x+1 8. -dx (x-1)

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

Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 3. x-…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: a b c Given det d e f = 5, find the following determinants. h i a b det d. e f -3g -3h -3i a b det…

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Q: The function f(x) = 2x° 39x + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Topic = Derivative

Q: Find the arc length of the curve y = from x=2 to x=3 2x2 16

A: Use arc length formula

Q: Evaluate the limit 5+ 9x lim 1+00 3 – 4x

A: Given problem:-

Q: 9. (D² - 1)y = 2/(e – e-*).

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given problem:- r(t)=cos(πt)i-ln(t)j+√(t-6)k ,t0 =7 find domain of r(t)and r(7)

Q: elin (sin x+ cos x) dx 1. S ecosx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find curl (8z i + 9x j + 8y k). curl(8z i+ 9x j + 8y k) = ( i )i + ( i j + ( )k

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find r'(t). r(t) = (tan-'(5t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.

A: r(t)=tan-1(5t) i+t cost j -t kddt tan-1(5t)= 11+(5t)2 ddt(5t)ddt tan-1(5t)= 51+25t2 ddtt cost=cost-t…

Q: cos2x dx sinx

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Q: The arc y = x² from (0,0) to (2, 4) is rotated about the y-axis. Find the area of the resulting…

A: We want to find surface area

Q: 33) Find the ared ef the Suriface formed by revolving f10) =10 Coso tue cirele r= about tue line Q=…

A: We have to find the surface area.

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: 4. Show that y=e²* sin 3x satisfies the equation: y" – 4y' + 13y = 0 %3D

A: Topic = Differential equation

Q: Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt' the product directly and…

A: r1(t)=cos⁡(t)i+sin⁡(t)j+6tk,r2(t)=5i+tk Given:  ddtr1(t)⋅r2(t)=r1(t)⋅dr2dt+dr1dt⋅r2(t) and…

Q: Find the tangent plane to the equation z 5z° + 4y – y at the point (4, 2, – 66)

A: Given: z=-5x2+4y2-y      4,2,-66

Q: dx sinxtanx

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||³ r(t) = t’i+ t°j K(t) :

A: We have to find the value of k(t)

Q: ㅇ z"+ 35 to

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Q: dw given w = a2 + 2y2 + 22 and a = cos (st), y = -2s Int and Use chain rule to find 2 = 3s' Vi.

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) =…

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Q: Please

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Q: B. Find the interval of convergence of the power series and find the sum of the series as a…

A: Series convergence

Q: COSX sin x dx 4. S 1-ఆశి అరికి న

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Q: Suppose that f(r, y) ry. The directional derivative of f(x, y) in the directional (1, - 1) and at…

A: directional derivative f(x,y) = adf/dx +bdf/dy (a,b) = (1,-1) df/dx = y df/dy = x directional…

Q: 2)

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Q: 1. Let -1 -5] 3 -7 3 -6 -3 A = B= 6. 5 -3 -2 4 2 | -3 Determine which (if any) of the following…

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Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

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Q: Example 22 Find the eccentricity and directrices of the hyperbola given x? y? 1 9 16 Sketch the…

A: Given: x29-y216=1

Q: Evaluate sin? xcos xdx .

A: To evaluate: ∫sin2x cos3x dx=∫sin2x cos2x cos x dx=∫sin2x (1-sin2x) cos x dx

Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F)

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Q: Select the three reasons for the non-existence of lim,>c f (x). lim, c f (x) = 5 x→c lim, »c- f (x)…

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Q: Зx* у + tan y dy Given a first order differential equation dx Q3 x' +xsec? (a) Clarify the exactness…

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Q: rrent Attempt in Progress Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – v NOTE: Enter your answer in…

A: We have to find the derivative