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The Helix r1(t)=4costi+sintj+tk\mathbf { r } _ { 1 } ( t ) = 4 \cos t \mathbf { i } + \sin t \mathbf { j } + t \mathbf { k }

question 7

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The helix r1(t) =4costi+sintj+tk\mathbf { r } _ { 1 } ( t ) = 4 \cos t \mathbf { i } + \sin t \mathbf { j } + t \mathbf { k } intersects the curve r2(t) =(4+t) i+6t2j+5t3k\mathbf { r } _ { 2 } ( t ) = ( 4 + t ) \mathbf { i } + 6 t ^ { 2 } \mathbf { j } + 5 t ^ { 3 } \mathbf { k } at the point (4,0,0) ( 4,0,0 ) . Find the angle of intersection.

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Definitions:

Break-even

The point at which total costs and total income are equal, resulting in neither profit nor loss for a business.

Monthly Unit Sales

The total number of units sold in a given month.

Break-even

The breakpoint where total incomes are equivalent to total expenditures, yielding no profit or loss.

Monthly Unit Sales

The total number of units of a product sold by a company in a month.

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