Find the area of the region between the following curves. If necessary, break the region into subregions first. y = 30 – x, y = Vx, and y = 1 Write the exact answer.

Q: Find the curvature and the radius of curvature at the point t = 0. %3D x = e' cos(t), y = e' sin(t),…

A: r(t)=et cos(t) i+et sin(t) j+7et kr'(t)=[etcost-etsin(t)] i          +[etsint+etcos(t)] j +7et k…

Q: 20. Find the area of the region bounded by the curver=8 cos 20. С. 12л A. 16π В. 32л D. 8t

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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A: Given: ∫ xsin3x-2dx   So, =-13xcos3x-2-∫…

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A: r1(t)=cos(t)i+sin(t)j+3t kr2(t)=2 i+t k

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A: We can solve as follows

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1.

A: The given integral is ∫c(x+3y2)dy   and the curve C is x=2t,  y= 6t   where 0≤t≤1 Now, y=6t⇒dy =…

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A: e.limx→0logecosx1+x2-1

Q: Use any method to simplify the complex fractloh. k+1 25k 3k - 1 15k

A: Use the fraction rule; abcd=a·db·c   The given expression is: k+125k3k-115k

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A: we have to change the order of integration.

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Q: Find f such that the given conditions are satisfied. 17) f(x) = 5x2 - 7x + 4, f(0) = 2 A) f(x) =x3…

A: Given f'(x)=5x2-7x+4,   f(0)=2To find f:

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Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: 1- Show that the following subset is a subgroup. H = {o e S, l0(n) = n}cS,

A: We have to show given subset is a subgroup.

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Q: Identify the interval of convergence. (Enter your answer using interval notation.)

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Q: 17-22 Use appropriate forms of the chain rule to find əz/du and əz/əv. I 17. z 3D 8x*у - 2х + 3у; х…

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A: topic- geometric sequence

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A:

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Q: dy y+1 2.

A: Integrate as general

Q: 1- Show that the following subset is a subgroup. H = {o e S, lo(n) = n}cS,

A: Explanation of the answer is as follows

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Q: 2. Determine whether the statement is True or False. If it is false, explain what makes it false, or…

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Q: Express the area of the given surface as an iterated double integral, and then find the surface…

A: We have to find the surface area.

Q: lim x-00 1 with a a real constant different from 0, consider the Consider the limit following…

A: We have to find out the correct answer

Q: The intelligence quotient, or IQ, is a measure someone ability to reason and solve problems (some…

A: This question can be solved using the concept of normal distribution.

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A: Solution: Given

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Q: 2.1 Find the value of x and y from the given complex equation (-2+ i)x + 2y =1+ 3i. 2.2 Write the…

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Q: 3 4. 7 8. PO 723 1225.78 1853 246762942.68 3246.963419.05 3509.59 3555.42 The table is given by…

A: ------------------------------------------------------------- dPdt=Pa-bP1P1-baP·dP=a·dT…

Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: 3.1 If the Laplace transform of coswt is then find the Laplace Transform of the s2+w? following…

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Q: 1 -dt , find g'(2). V4 +t5 If g(x) =

A: Let's find.

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Q: Evaluate the double integral over the rectangular region 4(a sin(y) – y sin(æ)) dA; R= {(x,y) : 0 <…

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Q: 6 6 iwen ["r*dz = 320, x³ dx x dx 16, dx = 4, evaluate the following using properties of definite…

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