The angular velocity w is a.. quantity. vector conserved fundamental

Q: r(t) = (sin 7t, t, cos t)

A: The vector equation is r(t)=sinπt, t, cosπt. Here, x=sinπt, y=t, z=cosπt Then x=sinπy, and z=cosπy…

Q: Evaluate | F. dS , where F = and S is the helicoid with vector equation r(u, v) = 0 < u < 4, 0 < v…

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Q: Find the velocity and acceleration vectors in terms of u, and u. r= a(9 + sin t) and 0 = 3 - e ',…

A: we derivative to find velocity and acceleration

Q: Find the acceleration vector for the position vector r(t) = (sin(5t), 6t", e "). x component = y…

A:

Q: Evaluate F. dS , where F = and S is the helicoid with vector equation r(u, v) = 0 < u < 1, 0 < v<T…

A: since, y,-x,z3 and, ru,v=u cosv, u sinv,v So, F⇀ru,v=u cosv,-u sinv, v3 Now the normal upward vector…

Q: Give a vector valued function (see image 1) that traces out the line by using arclength as a…

A: Given: We have to write the  vector valued function that traces out the given line.

Q: H=pz Csup ap te'sin dg tpan 2 At point (1, ,6)

A:

Q: Find the component of the resultant vector. u = v = Find: u +v

A: If the vector u=a1,b1 and the vector v=a2,b2 then the resultant vector u+v is; u+v=a1+a2 , b1+b2…

Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: Find the velocity and acceleration vectors in terms of u, and ug- de r= 5e a0 and = 1 dt v-Du, +Duo

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Q: А D. В

A: In the given image,  For first vector, direction is pointed towards point B, through A. So, this…

Q: (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D %3D…

A: As you mentioned part b is solved

Q: Evaluate F.dS, where F = and S is the helicoid with vector equation r(u, v) = 0 < u < 3, 0 < v < T…

A: Given that, F¯=y,-x,z5 and ru,v=u cos v, u sin v, v where 0≤u≤3 and 0≤v≤π. Find ru×rv as follows.…

Q: Consider a particle that moves around a circle. Is the velocity vector of the particle always…

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Q: Find the tangential and normal components of acceleration for the position vector denoted by 7 = (t…

A: We have given position vector  t+29,2t,t2 Then, Tangential component of acceleration aT=r't.r''tr't…

Q: Find the acceleration vector for the position vector 7 (t) = (sin(11t), 3t', e -*). x component = y…

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Q: Find the velocity vector for the position vector r(t) = (sin(12t), 8t°, e-6*). x component = y…

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Q: The position of a particle is defined by the vector r(t)=⟨sint,cos2t⟩. Find the maximum speed of the…

A: r(t) = ⟨sint,cos2t⟩ Hence, v(t) = ⟨cost,-2sin2t⟩

Q: Express the vector shown as both a Quadrant Bearing and True Bearing: Quadrant Bearing: True…

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Q: The normal component of the acceleration vector for an object with position vector r(t) = (cos(t),…

A: To check the given statement for True/False.The normal component of the acceleration vector for an…

Q: Sketch the curve represented by the vector-valued function                               r(t) = ⟨…

A: Given  r(t) = ⟨ cos t, sin t ⟩

Q: Find the tangential and normal components of the acceleration vector. r(t)=ti+t2j+3tk

A: Here we will find out the required value.

Q: A baseball is thrown with a speed of 70 mph at an angle 14 degrees of from the horizontal. Write the…

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Q: The vector having (magnitude) only is called unit vector FO

A: GivenStatement:The vector having only magnitude is called unit vectorTo determineGiven statement is…

Q: Calculate the magnitude and direction of the resultant of the two acceleration vectors shown

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Q: Find the tangential and normal components of acceleration for the position vector given by r(t) =…

A: Given: rt=3ti-tj+t2k

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: A velocity vector of variable magnitude cannot have a constant direction.

Q: Find the acceleration vector for the position vector r(t) = (sin(11t), 4tº, e -2t). x component = y…

A: We need to find acceleration vector.

Q: A plane flies at a speed of 420 mph with a bearing of S45°E. Write the velocity vector in terms of i…

A: A plane flies at a speed of 420 mph with a bearing of S45°E. To write the velocity vector in terms…

Q: Sketch a closed curve on a sheet of paper and draw a unit tangent vector T on the curve pointing in…

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Q: Calculate the velocity and acceleration vectors, and speed for r(t) = (cos(3t), cos(t), sin(t)) when…

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Q: Find the velocity and acceleration vectors in terms of u, and ue. r=7 sin 3t and 0= 9t 3Du, +ue V =…

A: Given To determine  the velocity and acceleration vectors

Q: How is this vector related to the curve’s torsion? Give an example.

A:

Q: A ship is sailing at a speed of 14 mi/hr in the direction S50°E. Express its velocity v as a vector.

A: A ship is sailing at a speed of 14 mi/hr in the direction S50°E. Express its velocity v as a vector.…

Q: B: The temperature at any point in circular metal plate centered at the origin is, T(x, y) = 100…

A: We are given the temperature function T(x,y)=100e-x2+y2we have to find the direction of greatest…

Q: Evaluate F. dS, where F = and S is the helicoid with vector equation r(u, v) , 0 < u < 3, 0 < v <…

A: Given the vector field F→=y,-x,z2 and the surface S is parametrized as ru,v=ucosv,usinv,v,…

Q: Drag the blue point to a location on the coordinate plane so that the vector v (shown below in blue…

A: Given: Magnitude is 17 and the direction is 28.07° The main objective is to find the vector r→…

Q: Sketch the curve whose vector equation is r(t) =

A: given rt=&lt;tcost,tsin,t&gt;

Q: Give a vector valued function (see image 1) that traces out the line but does not use arclength as a…

A: A vector valued function or a vector function for a 2-D plane is given by,…

Q: An object is launched from ground level with an initial velocity of 50 m/s, at an angle of elevation…

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Q: Let the position vector bc RCE): the unit tangent Compute vector T(E).

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Q: Sketch the curve with the vector equation ř(t) = (sin t, t). Indicate with an arrow the direction in…

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Q: Evaluate /| F · dS , where F = and S is the helicoid with vector equation S r(u, v) 0<u < 1, 0 <…

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Q: A rifle at A is fired at a target at B. If the speed of the bullet is 1800 ft/s, determine the…

A: Let θ be the angle with the x-axis Then the rectangular form will be  v=1800cosθi+1800sinθj  ft/s

Q: Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t…

A: The given vector equation is

Q: Give a vector description of the midpoint M of a line segment AB→.

A: GivenLine segment AB→To find vector description of midpoint of AB

Q: Find the velocity vector for the position vector r(t) = (sin(3t), 10t°, e -"). x component = y…

A:

Q: Let vector u = and vector v . Find the magnitude of 3u-4v. Round to one decimal place.

A: Let vector u= &lt;3, 4&gt; and vector v = &lt;6, 7&gt; then find the magnitude of vector 3u-4v.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.