Find the vector equation for the line of intersection of the planes x + y - 4z = 4 and + 4z = -2

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A: To find the exact are of the region bounded by the given curves.

Q: b) [x³√9-2x dx (let u = √2x i.e. u=x√√2 )

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Q: 20. Given a = [3, -5,1], b = [-2,4,-1] and 2 = [7,3, -2], find a) b.č b) axč c) , the angle between…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: Find the limit, if it exists, or type N if it does not exist. (x + 25y)² x² +25²y² lim (x,y) →(0,0)

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Q: Find the limit, if it exists, or type N if it does not exist. 5zex² + y² lim (x,y,z)→(1,3,2) x² +…

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A: we are given a function and we need to find out where it is concave up and concave down.

Q: Evaluate tr(g(t)) using the Chain Rule: r(t) = (et, et, -8), g(t) = 6t - 7 r(g(t)) = (

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Q: Determine if the series converges or diverges.

A: Refer to explanation block Explanation:

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A: The shape of this graph matches a parabola, which is a rounded curve that opens upwards or downwards…

Q: Evaluate the integral I. I= = [ ³ (6 (sin (t)) ³ cos (t) i +6 sin (t) (cos (t))³ j + 6 sin (t) cos…

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Q: Find the length of the curve. L = r(t) = (2 sin (t), 7t, 2 cos (t)), -4≤ t ≤ 4

A: The curve is defined by  .Find the length of it.

Q: Calculus I May I please have the solutions for the following questions? Thank you

A: This answer is given below.Explanation:

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Q: Find the area of the segment of a sphere formed by revolving the graph of y = √49 - x², 0 ≤ x ≤ 6,…

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Q: The graph of a periodic function f is shown below. a. What is the period of f? -1 41 2 -3 -4 ƒ(0) 2…

A: To find the period of the function

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

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A: The answer to the long division is 32​xwith a remainder of 4.Explanation:

Q: Please help me with this thank you!

A: The objective of this question is to apply the chain rule in calculus to find the derivative of the…

Q: 11. Evaluate the following limits. If the limit does not exist, write DNE. 2x²-32 -√x a) lim X-4 2-√…

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Q: 0 = * 0 Consider the angle shown above measured (in radians) counterclockwise from an initial ray…

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Q: Test for convergence or divergence with the Direct Comparison Test.

A: The test is inconclusive based on DCT.Explanation:Taking note of the direct comparison test, for two…

Q: Determine if the sequences converge or diverge.  an = (ln n)/ln 2n   an = e^-n ln n   an = (3n…

A: • Sequence 1: Inconclusive • Sequence 2: Converges (e^-n dominates) • Sequence 3: Converges…

Q: Find if the series converges or diverges.

A: Series is convergent.Explanation: For any query with solution please ask in the comment box.

Q: Write in summary what you know about the first and second fundamental theorems of calculus.…

A: GivenWrite in summary what you know about the first and second fundamental theorems of calculus. The…

Q: 29. I must get from A to B across a rectangular manmade pond. The pond is 4 km in width, and 12 km…

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Q: Prob(0 ≤x≤ a/4) = Prob(3a/4 ≤ x ≤ a) = Prob(a/4 ≤x≤a/2) = Prob(a/2 ≤ x ≤ 3a/4) = = - {} (-1) ¹ Σπη +…

A: Please refer below pages.If you have any questions feel free to ask.Explanation:Step 1: Step 2: Step…

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Q: Find the average value of the function f(x) = 22 sin(x) over the interval [0, π]. NOTE: Enter an…

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Q: 28 Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

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Q: 10. Complete the square of the denominator of the integrand of the following anti-derivatives: X-1…

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Q: In Exercises 7-16, convert to rectangular form. 8. 2 sin 03 cc 7. r = 2 cos 0 9. r= tan 0 10. r = 4

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Q: Hiw Find of and Duf to :- f (x₁9,2)= In (x²+2y² +32²) atp (-1,²,4) in the direction of a = -36 -…

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