4x² + 4y2 +422-8x + 16y=1 presents a sphere, and find its center and radius.

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A: We can find the answer as below.

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A: Given.

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A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

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A: Given question is asking to find the length of the curve.

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A: According to our guidelines, we can answer only one question. Other questions can be reposted.

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A: We need to evaluate integral.

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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Q: Determine

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A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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A: We need to find (x-5)2 , (y-3)2 and (z-1)2

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A: Given: The vector 'a' has a magnitude of 7. Its x component is 2, and its y component is twice its z…

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Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

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Q: 4. A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: where r= radius and h= heightVolume of a right circular cylinder cylinder is πr2h. Volume of a…

Q: a. g(3) = = b. lim g(z) C. lim g(z) d. lim g(z) = Z-1 = -4 -3 -2 -1 10 6 2 0 -2 -4 -6 9(z) 2 3 5 6

A:

Q: 4) A tank contains 100 gallons of pure water. A brine solution with 1kg/gal of salt enters at…

A: Let's find amount of salt in the tank after 45 minutes.

Q: 2. The values of g and g' are given in Table 6. -1 Complete the columns for g¹ and (g-¹). X 1 2 3…

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A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

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A: Consider the integral  ∫tan2x dx

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A: Here we have to do partial fraction and after that integration

Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v &amp; wP =xey2+yex2+exy2

Q: Evaluate using Partial Fraction Decomposition: S x2 (x+1)²(x-1) -dx

A: We know, ∫dxx-a=lnx-a, for any real number a ∫dxxn=x1-n1-n, for any real number n.

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A: We have to find first four terms of give series.

Q: Which of the following is equal to In 4 ? 4 offen O et dt 1 O ln 3 + ln 1 dt of - In 8 In 2 t

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Q: False

A:

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A: Given :L=0.1 HR=70  ohmE=30 volti(0)=0