O If R= ( i+ (+sZ IntSk is the position vecher of aporticale in space defermine at t=i W) the anyle behween the velocity and the acceleratin Jector. O the tangent uecfor ☺ the Normul vectur the Binormal vector

Q: 6. An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of…

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Q: Let fery) Ts TS a diff eran tiable function. eron The directional Jeri ve dive of fuiyl in the direc…

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Q: Match the following vector-valued function with its graph. r(u,v) = u cosvi+u sinvý + uk 3. C. e 3…

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Q: Find a vector G with curlG = sin xk.

A: Let F → = d1i+d2j+d3kThen curve F → =∇xF → =ijkddxddyddzf1f2f3Let us consider G→ = g1i+g2j+g3kThen…

Q: Q2: find the unit vectur toword the Curve 9 = x2 at

A: For calculating the unit vector we will have to calculate vector and it's magnitude. The formula for…

Q: Describe the curve represented by the vector-valued function r (t) = (2 cos t) i +tj + (2sin t) k…

A: Given: r→(t) =2costi→+tj→+2sintk→. x=2costy=tz=2sint Then, x2=costz2=sint

Q: Find the positive t when the vector r(t) = (10t, 9t², 6t² - 43) is perpendicular to r' (t).

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Q: O IP R = (i+ ();+(rZ lnt) k is the pusitian vechar of apurticule in spuce defermine at tei W the…

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Q: What is the i-component of unit vector of the vector u ? Give your answer correct to two decimal…

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Q: Consider the variable coefficient linear non-homogeneous ODE where and where u and are unknown…

A: The given problem is to find the values of u' and v' for the which the particular solution yp =…

Q: Evaluate :// F. d5 , where F = and S is the helicoid with vector equation r(u, v) upward…

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Q: QI. If R = ti + 3 sin t j + 3 cos tk is the position vector of a particle in space. %3D Determine…

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Q: find the anit tang ent , norma and binor mal vector: el cost i a Sint tk]

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Q: tA= ate V x V x A forr 0. T Here a is a constant vect

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Q: Haw.y If the direclional derivatlve Valne (Da8)f the function f(Xxy) =x`-3xy thuy? at Paint (-200)…

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Q: A velocity vector of variable magnitude of an object can have a constant direction. O True False

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Q: Find a vector function thet represeds the curve of intersectson of イhe pabeloid Zニx-tye and the…

A: Given, a paraboloid z = x2 + y2 and the cylinder x2 + y2 = 4. We have to find the vector function…

Q: d. In which direction is the instantaneous rate of change the maximum from (1,0)? What is the…

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

Q: Given the vector-valued functions u(t)= esti+e-¹ + 2tk v(t) = 2ti - 3t² + 3k d find (u(t) v(t)) when…

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Q: OIf R= (+ (j+(1Z Int) k is the position vector of aperticule in space defermine VE at tzi a) the…

A: Given: Position vector of a particle is R(t) = 21 + t i + t33 j + 2 lnt k.

Q: u Xv = v X u If u and v are vector in R, then

A: We know that in R2. u×v = -(v×w).

Q: "Velocity" Vector or Scalar?

A: A mathematical quantity (physical ) is an amount or a number. The physical quantity can be any…

Q: Us an first raflects O Find the trans-formation that vectors thorough the x-axis and then' gotates…

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Q: Frod the dietonal derivatie of the fnetion fxkens an the vector direction Making an angle of +60°wth…

A: The directional derivative of a differentiable function in the direction of the unit vector is .…

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Q: Given the Space curve r(t) = ( cos(t), sin(2t), Sin (1.5 t)): of the domain interval [0₁] such that…

A: As per guidelines we can solve only first 3 sub partsif multiple sub parts are posted. Please repost…

Q: Write formulas for the unit normal and binormal vectors of a smooth space curve r(t)

A: The formulas for unit normal vector  and binomial vectors of a smooth space curve r(t).

Q: Dz: tow ord the find the unit vector Curve y =x? at

A: Find the unit vector towards the curve y = x2 at x= 1: r→t=xti^+ytj^y=x2:Let xt=t  and…