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I’m studying and need help with a Mathematics question to help me learn.

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Please watch the above video and discuss the foundations of math in everyday life. Support your statements with specific examples, do not plagiarize. Make sure you cite and reference your work.

1) Consider what available technologies you have available today that exist or the progress life has made because because of math I might state something to the affect….

For example, music, computers, history, architecture, science, social sciences, farming, gaming,pharmaceutical industry and medicine are all founded in math, specifically in microbiology/pharmacology. The progress of testing new antibiotics is dependent on the use of logarithms to calculate the efficacy of drugs during R/D (Bristol-Meyers-Squibb, personal experience, 1990’s).

You will earn 5 points for your initial post – 1 paragraph (using 5-10 sentences, clear and concise, proper grammar)

You will earn 5 points for a substantial peer response that adds to the discussion. 1 paragraph (using 5-7 sentences, clear and concise, proper grammar)

A- acknowledge what your peer writes, B- Build on that post by agreeing or disagreeing, C- Contribute to the post by adding to the knowledge, asking questions or adding in personal experience to the post.

Once you will give me initial post, I will be able to see class mate post on which you have to make reply.6 precal questions please helpppppp: assignment help online
I don’t understand this Calculus question and need help to study.

1.

Find the vertex, focus, directrix, and focal width of the parabola.

x2 = 12y (1 point)

Vertex: (0, 0); Focus: (3, 0); Directrix: x = 3; Focal width: 3

Vertex: (0, 0); Focus: (0, 3); Directrix: y = -3; Focal width: 12

Vertex: (0, 0); Focus: (3, 0); Directrix: y = 3; Focal width: 48

Vertex: (0, 0); Focus: (0, -3); Directrix: x = -3; Focal width: 48

2.

Find the vertex, focus, directrix, and focal width of the parabola.

x = 3y2 (2 points)

Vertex: (0, 0); Focus: ; Directrix: x = ; Focal width: 12

Vertex: (0, 0); Focus: ; Directrix: x = ; Focal width: 0.33

Vertex: (0, 0); Focus: ; Directrix: x = ; Focal width: 0.33

Vertex: (0, 0); Focus: ; Directrix: y = ; Focal width: 12

3.

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7). (1 point)

y = x2

y2 = -7x

y = x2

y2 = -28x

4.

Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8. (2 points)

y = x2

y2 = 8x

y2 = 32x

y = x2

5.

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points)

y = x2

x = y2

-28y = x2

y2 = 14x

6.

A building has an entry the shape of a parabolic arch 96 ft high and 18 ft wide at the base, as shown below.

Find an equation for the parabola if the vertex is put at the origin of the coordinate system. (2 points)precal essay questions please helpppp
I need support with this Calculus question so I can learn better.

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Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. (4 points each.)
4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + … + 4n( 4n + 2) =
12 + 42 + 72 + … + (3n – 2)2 =

For the given statement Pn, write the statements P1, Pk, and Pk+1. (2 points)

2 + 4 + 6 + . . . + 2n = n(n+1)

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