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Find the limit

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Calculus

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A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

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A: To plot the polar point and determine the all polar coordinates of each point.

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A: Let the points are given by (x,y,z)

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Find a vector parallel to the plane 2x - y - z = 4 and orthogonal to i + j + k

A: Given:A plane 2x - y - z = 4 orthogonal to i + j + k

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Q: Write a polynomial f(x) of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2), ...

A: Given, polynomial f(x) is of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2)...

Q: In Exercises 1–4, let u = <-3, 4> and v = <2, -5>. Find (a) the component form of the ve...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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A: Click to see the answer

Q: Find the distance from the plane x + 2y + 6z = 1 to the plane x + 2y + 6z = 10.

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A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Exercises 39–42, find an equation for the line through P parallel to v. Then sketch the line. Inclu...

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question...

Q: In Exercises 17 and 18, find |v| , |u| , v .u, u. v, v * u, u * v, |v * u| , the angle between v and...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Find all polar coordinates of the origin.

A: We know that when we convert cartesian coordinates into polar coordinates, then we use the relation

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Q: In Moscow in 1987, Natalya Lisouskaya set a wom-en’s world record by putting an 8 lb 13 oz shot 73 f...

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Q: Given nonzero vectors u, v, and w, use dot product and cross product notation, as appropriate, to de...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

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Q: Exercise. The Earth travels in an orbit around the Sun that can be approximated by a circle. The dis...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: #9

A: Given:Initially water tank holds 300 gallons of water.Rate at which the pure water is pumped into th...

Q: Find the center C and the radius a for the spheres in Exercises 51–52. 51. (x + 2)2 + y2 + (z - 2)2 ...

A: To determine the centre and radius of the sphere.

Q: 10. A motorist drives on a toll road to and from work each day and pays $4.25 in tolls one-way. a. W...

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Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x2 + x – 1 lim x...

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Q: Find the areas of the surfaces generated by revolving the curves in Exercises 31–34 about the indica...

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Q: Find the acute angle between the planes x + y = 1 and y + z = 1.

A: Given:

Q: Solve the inequality. Write your answer in interval notation. |5x - 4| ≤ 7

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