1 Determine the following integrals: ļ (cos2x+ sin x) dx 1.1.1 .1.2 1.1.3 1₁ Jx Xx+1 √√x²+2x+1 dx (n(3x) b (²³0) + ² +1)]dx X

Q: (4) Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf…

A: Let A be a not empty subset of a bounded set B.why does inf A and sup A exist? Show that a) inf…

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A: We have to find equation of tangent line

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A: ds = dxdt2+dydt2 dt

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A: The region is bounded by y=x^3, y axis  and y=8.And the region is revolved about x=0. We need to…

Q: Answer

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A: Center of gravity is given.

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A: In this question, we want to find the area bounded by the parabola and a right chord.

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A: Convert the degree measure to radian measure. Round to three decimal places. −46.23°   Please show…

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A: Let's find volume of solid (V) = ?

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

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A: Please refer to the image below

Q: Compute ff 24xyd A where R is the region bounded by R x = 1, x = 2, y = x, y = x².

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Q: What is the the x-axis and the semicircle y = (4 - x^2)^1/2? O 0 02 Ο ΝΑ x-coordinate of the…

A: Solution is given below:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: The solid generated by x+y=5, y=0 and x=0, about y=0

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A: Given.

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A: The given integral is: I=∫2∞32x2dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

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A: Integrate the equation.

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A: Here, the given statement is: If (2,1) is a critical point of f and fxx(2,1)fyy(2,1)&lt;fxy(2,1)2…

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A: Topic = Derivative

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Q: c4 So So (6x² +9y²) dx dy

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Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

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Q: Calculus Use the Table of Integrals to evaluate the integral. 1₁ 21²6 2t²e-t dt

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: A bacteria culture initially contains 1000 bacteria and is growing at the rate of N' (t) = 2tt-2/3…

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Q: 00 ermine the converges or diverges of the series n=1 = 1 (n+1

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Q: What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C…

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Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Given:     Area = 4000 sq meter

Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Let x and y be the dimensions of the rectangular field. According to given , Area(A)= xy= 4000…

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Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: X Let f(x,y) = 8 e + In (x+y). Find the following. (a) f(1,0) (b) f(2, -1) (c) f(0,e) (d) f(0, e 4)…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

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Q: JO π 3 sec³ x tan x V √2 + secx dx

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Q: Evaluate the integral: 3 So |2 - 2x| dx

A: Given,∫032-2xdx

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Q: 48-50. f(x) = 3 1 5 x2-4x2-8x2 4

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Q: 4. Which of the following lines is parallel to y = 6x 18? 3x+6y=2 ○ 2x + 3y = −2 -6x -6x - 2y 2y =…

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