X + y = 3лab2 У Злаb2 у X find y" in complete solution

Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the…

A: To find out the volume of revolution.

Q: Evaluate the definite integral. 15t L² (elst i + e i+e¹j+t k dt 1 k)di

A: Here we have to use the concept of definite integral.

Q: The index of refraction n of a transparent material is the ratio of the speed of light in a vacuum…

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Q: 7. Using differential, approximate (8.01 ) correct to 4 decimal places. 8. Use differential to…

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: The error in the approximation of a given series is always less than the last term that is used for…

Q: Find all solutions to the equation. csc 0-√2=0 Write your answer in radians in terms of , and use…

A: As we know that; The general solution of the trigonometric equation sinθ=sinα is; θ=kπ+-1kα,  where…

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Identify/cite a real life event that models a continuous function By applying three conditions of…

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Q: Applying the ratio test to the series ∞ 5k-1 k=1 (k+ 1)².4k ³ you would compute ak+1 lim = ak Hence…

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Q: y"+4y'-45y 3 cos (6x) =

A:

Q: 17. Let y = 4t² + 3, t = 6es and s = 1 + In x. Find in terms of x. dx 18. Given y = 5t (3 - t), t =…

A: Let's find.

Q: Calculate [ri(t) - r₂(t)] and [r₁(t) × r²(t)] first by differentiating dt dt the product directly…

A: We know, ddtr1(t).r2(t)=r1(t).dr2(t)dt+r2(t)dr1(t)dtddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: 4. sinx 1-sin² x dx

A: integration

Q: [√x (x - 5)dx

A: ∫xx-5dx∫xx-5x dx∫x32-5x dx

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1= C2= C3=…

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Q: An irrigation channel is constructed by bending a sheet of metal that is 3 m wide, as shown in the…

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Q: Solve for the solution: d3y/dx3 - d2y/dx2 -dy/dx +y = 0

A: Solution is given below:

Q: Let C be the curve which is the union of two line segments, the first going from (0, 0) to (1, 4)…

A: As per Bartleby guidelines I have authority to answer only one question. If you want other…

Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

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Q: Find all solutions of the equation in the interval [0, 27). (Enter your answers as a comma-separated…

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Q: Use the rules of differentiation to find the derivative of the function. y=9x². + 7 sin x

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Q: Find the limit. 3 lim x-6 5x + 2

A: we have to find limit

Q: 8 765 4 3 2 1 -7-6-5-4-3-2 4 -2- -3 Clear All Draw: 4 -3 -6- 1 2 3 4 5 6 7 8

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Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

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Q: Find the work done by the three-dimensional inverse-square field 1 F(r) = r on a particle that moves…

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Q: An ellipse of equation 4x²+2y²=k the distance between its foci 2√3Find the value of k

A: A detailed solution is given below

Q: Convert the rectangular equation to polar form. xy=14

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Q: We can prove that if D is a region bounded by a simple closed path C in the xy-plane, then the…

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Q: Monique sells disposable protective face masks made of local textiles for P 12.00 each. Define a…

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Q: Evaluate the line integralſ (x + 2y) dx + x² dy, where C consists of line segments from (0,0) to (2,…

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Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A: Solution in done in step 2

Q: Find dy/dx by implicit differentiation. (sin mx + cos my)4 = 74 dy/dx=

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

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Q: Question 16 Given the function (6x + 9 f(x)= ₹

A: We have to find the value of function at given values.

Q: f(x)= x² + 5x + 6 g(x)=x+2 Find (+)(*) (-) (2²) The domain of = (4) (2) is x + [ a

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Q: Find all solutions of the equation in the interval [0, 27). 2cos’x– cosx−1=0 Write your answer in…

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Q: veen y - II [U, 1].

A: We will find the area .

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: if x ≤ 2 f(x)= [2x - 5], if 2 3 1. Determine if f is continuous or discontinuous at r = 2 and r =…

A: Solution of the problem as follows

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j|| dt =

A: ||xi + yj || = √x^2. + y^2

Q: For F(x, y, z) = (x + yz) i + (y + xz)j + (z + xy) k, find: (a) the curl (b) the divergence

A: To find curl F and div F

Q: Use the figure to derive the formulas for sin sin(). = $(€). [ COS tan TOIN cos e 6 (2). sin 0 cos…

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Q: I sold something on ebay and I go to the UPS store to ship the package. The cost for the box is $3,…

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Q: Express the series using sigma notation 5-10 + 20-40+80 °5(-2)-¹ 21 -2n-5 7-1 0-5(-2)-1 -2(5)-¹ 7-1…

A: Infinite series

Q: Use Green's Theorem to evaluate the line integral. S y² dx + xy dy C: boundary of the region lying…

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: e3x-6-2, [2x - 5], √x²-9, if x ≤ 2 if 2 3

A: answer is in next step

Q: Find the exact value of cos(195°) using the fact that 195⁰ = cos(195⁰) = 225° -30°.

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Q: 2. Find the area between the curve y=-x and y+x²= 2x.

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Q: Find the area between the loops of the limacon r = Area = 5(1 + 2 cos 0).

A: We have to find the area between the loops.