Find the length of the curve: a = t°, y = *; 0

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Q: Find the area of the region between the parabola y =64–x² and the x-axis. Round your answer to three...

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Q: Let fit)=F(t), where F(1) = 412- 5r+5t_ Evaluate the following integral using the Fundamental Theore...

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Q: Let a = ci + jand b = 6i + 30j. Find c so that a and b are orthogonal. c = i

A: The vectors are given by a = ci+j b = 6i+30j Condition for orthogonal vectors:  a·b = 0 To evaluate:...

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A: In this question, we need to find the solution of this given differential equation.

Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim cos-1(x – 13) Answer should be in radians ...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Find the area of the region between the parabola y=64-x and the x-axis. Round your answer to three d...

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Q: Find all critical values and critical points of the function given, then find the regions where the ...

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Q: Question 3 Evaluate the Integral |(4-3sin2p)+ cos28 dp. (A 30 -(4– 3sin2ß) $+ C B -(4– 3cos2B) 5+ C ...

A: lets assume that u = 4 -3sin2β du/dx = -6cos2β dx = -du/6cos2β   ∫ -u4du/6 -u5/30 +c now put the u v...

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A: Given that the marginal revenue of Porter Airlines is R'(x)=0.96-0.0064x -(i)where x is the average ...

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Q: ution 1- u? cos x and dx 1+ u? grand to a rational function of u, and t al. If you have a CAS, use i...

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Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

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Q: +C

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Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

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Q: Let fit)=F(t), where F (1) = 41-– 5r°+5t_ Evaluate the following integral using the Fundamental Theo...

A: From the fundamental theorem of calculus; If, dFxdx=fx, then  ∫abfxdx=Fxab=Fb-Fa   Given: ft=F't, Ft...

Q: nd the area of the region bounded by y = –x² – 4x – 2 and y = 2x² + 8x + 7.

A: To find out the area of the region bounded by the curves. 

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Q: Complete the sentence the below. If the point (4, - 1) is a point on the graph of f then f(-)= If th...

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Q: What is the area under one crest of the sine curve, from x = O to x = n? y=sin x dx 1/2

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Q: Find the area of the region bounded by y cos x, y = 1, and x =

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Q: III. Given f(x) x+4 do the following: a) Find f-1(x) (if it exists). b) Determine the domain and ran...

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Q: nd the area of the region between the parabola y=64-x and the x-axis. Round your answer to three dec...

A: Given query is to find the area of the region.