Let C be the curve given by the equation, R(t)= sin t i + cos t j + log sec t k (0≤t<π/2) Find: a.) the element of arc length, ds, along C, in terms of...

Let C be the curve given by the equation, R(t)= sin t i + cos t j + log sec t k (0≤t<π/2) Find: a.) the element of arc length, ds, along C, in terms of...

1. Describe the components of the vector v(t)=<t2,5t> and the meaning of this vector. 2. Convert the following parametric equation into a rectangular equation: {x(t)=5cost}...

Find perpendicular distance of the plane 6 x + y + 2 z = 18 from origin O by first finding co-ordinates of the point P on the plane such that OP is perpendicular to the given plane....

Find an equation of the plane. The plane that passes through the point (2, 4, 5) and contains the line x = 5t, y = 2 + t, z = 4 − t

Find an equation of the plane. The plane through the point (7, −8, −4) and parallel to the plane 9x − y − z = 1

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I cannot for the life of me figure out which of these I am missing and/or over-including in my response to this question.

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The x and y components of vector P have Numerical values 6 and 6 respectively and that of (P vector + Q vector) have Numerical values 10 and 9. What are the Numerical values of X and y components...

You digest a 2000kb region of DNA with EcoRI and get three fragments. The middle fragment is 300bp. You take the middle fragment and clone it into a vector that is 700bp. a) How large will...

If a force of 50 pounds is directed 30° from the horizontal, what vector represents this force?

Show that, for all vectors, u and v, |u x v|^2 = |u|2|v|2 - |u.v|2

An airplane has an airspeed of 500 kilometers per hour bearing N45°E. The wind velocity is 60 kilometers per hour in the direction N30°W. Find the resultant vector representing the path of the plane...

Use WolframAlpha to sketch the vector below. Hint: use "vectorplot" as the input. f(x, y)=(x−y,x) −2≤x≤2 −2≤y≤2

What are the x & y components of vector E in terms of the angle σ & the magnitude E? For the same vector, what are the x & y components in terms of the angle ø...

A position vector with magnitude 10m points to the right & up. Its x-component is 6.0m. What is the value of its y-component?

√An aircraft flew due East from P to Q at U1km/h. Wind speed from the South West was Vkm/h. On the return journey from Q to P, due West the aircrafts speed was U2km/h, the wind velocity being...

How do you add 2D vectors a+b if the magnitude of vector a is 10, its angle with (+) x-axis is 45 and angle with (+) y-axis is 45 ... then vector b has a magnitude of...

1) Kim and kent are on opposite sides of a canal, pulling a barge with tow ropes. Kim exerts a force of 50 N at 20 degrees to the canal and Kent pulls at an angle of 15 degrees with just enough...

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