The area bounded by y=3Vx and 2y=3x is revolved about the y-axis. Using circular ring method, set up the integral for the volume of the solid generated. -7 ... -2 1. -2

Q: Find the exact value of each of the following trigonometric functions of 0. 12 90° <0<180° 13 sin 0…

A: Given:-sinθ=1213,        90°&lt;θ&lt;180°

Q: Expand the binomial using the binomial theorem. Show all of your work. (z- 4) °

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A: Given that     r1(t) = cos(t)i + sin(t)j + 8tk    r2(t) = 7i + tk

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 4- to --6 -5 -4 -3 -2 -1 5- ver which interval of z values is f'> 0? о (2, о) O 12, 0) 0(- 00, 2)…

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Q: d. [r:(t) r2(t)] and r:(t) x r2(t)] first by differentiating d Calculate dt the product directly and…

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Q: o) rind all veluees of x for which fue Canveryes. for there helues of x, wnite tul fum of tue senes…

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Q: If f(x) = /8 +r² dt , find f'(1).

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A: To determine whether the given series is convergent or not.

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Q: division

A: We will solve using long division method.

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A: Given query is to find that statement is true or not.

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

Q: Sy³/y² + 9dy

A: ∫ y3y2+9dyLet u=y2+9=∫u2-9u2du=∫ u4-9u2du=∫ u4du-∫ 9u2du=u55-3u3Substitute back…

Q: 8. Find the limit: lim E1(1 130 noisieoq Isisinle bna baoes 1aq d00

A: The detailed solution is given below Thank you

Q: Evaluate the definite integral. i+e'j+t k )dt ell (e-l – 1) + (ell – 1) i – (e-1 – 1) j +, k 11 ell…

A: Given: I=∫01e11t i+e-t j+t kdt   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

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Q: Find div F and curl F if F(x, y, z) = 17y*z4i – 3x°z®j – 3xy°k. - div F= curl F=

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Q: -2- At the point shown on the function above, which of the following is true? O f' > 0, ƒ'' > 0 Of'…

A: If the second derivative is positive then the graph of the function is concave up.

Q: ) (2xy+y2) dx - 2x2 dy = o 2) xy dx-(x + zy)? dy = o メ+ 2y)? dy

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A: we have to find the area.

Q: cos2x dx sinx

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Q: Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least…

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Q: 3 In ДАВС, с % 15 ст, b — 4.6 ст, тLA: = 106°. Find the area of the triangle and round to the…

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Q: Find the first derivative with respect to the domain variable for the following functions. 4. f(x) =…

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Q: long

A: We will use long division method.

Q: Differentiate the following using implicit differentiation 3/a + V = 7

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Q: 2. Use the limit theorems to find the following limit. x2 – 5x – 14 lim x→7 x - 7

A: Given :limx→7x2-5x-14x-7

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Q: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

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Q: Describe the graph of the equation. r= -3 i+tj+(t2-1) k O Itis a parabola in the x = 3 plane, vertex…

A: This is a problem related to parametric equation plotter. Based on the x, y and z value in terms of…

Q: 15. Find x² (2x³ + 4)5 dx

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Q: e3t – 1 lim t0

A: Use l hospital rule for finding the limit.

Q: iF Zz fexiy) where R= ě- ě Gud ge ě- ě show That!- +y5= (e-ぎ)( - 24

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Q: 26) find the mternel of convergenu of tue power Senies (x-6)*-1 и -) 6 onsurs : aj (6,l2) d) (-6,6)…

A: A detailed solution is given below.

Q: 1. S 2xe2*dx

A: Given that,   Using integration by part

Q: Find the sum of the series. 1 - In(4) + (In(4))² _ (In(4))³ 2! 3!

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Q: `x² In x dx

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Q: In x

A: A detailed solution is given below

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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…

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A: Given: r=12(1-cosθ) r=121+cosθ

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Q: Find V. (F x G), if F(x, y, z) = 14.ci + j+ 13yk and G(x, y, z) = xi + yj – zk. V· (F × G) :

A: Vector

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Q: o} (2xy+y?) dx - 2x² dy = O 2.) xy dx -(x + 2y)? dn

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Q: | 5f(x)dr c f(r)dx if c =

A: Given :∫725f(x)dx=c∫27f(x)dx