This diagram shows a tangent TA with chord AB parallel to chord PQ.«

Q: Consider the helix r(t) = (cos(4t), sin(4t), –2t). Compute, at t

A: Compute unit binormal and curvature at t=pi/6

Q: 口 38 Which one of the following equations describes the tangent plane to the curve, f(x, y) =…

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Q: Please interpret the physical case showing how to calculate

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Q: & Find unit normal veetors binormal vector and Curvature Ror the space Curve, X- Cosh t ryinht, Z=l

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Q: F = e* ((1+xy), x²) and C:r(t) = (cost, 2sin t) Conservation, Independence Path a) Determine whether…

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Q: A swimming pool is 6 feet deep at the deep end. It is 10 by 16 feet at the top and 10 by 4 feet at…

A: Consider the given information. The volume is ∆V=5ft3. The density of water is 997 kg/m³. ρ=62.4…

Q: 0 x³ dx.

A: Given that,  Tn denote the Nth trapezoid approximation of ∫01x3dx we have to find T3

Q: 9. GIVEN: QU || DA, QU DA. PROVE: AUXQ ADXA.

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Q: particle moves along an with S-axis S= slt) position function velocity function and %3D VIt)= ŚIt).…

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Q: 7) Find the unit tangent vector for the parameterized curve: r(t) = cos ti+ sin tj+ sin tk, 0≤t< 2π

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Q: 14 5x - 21 16 2r + 3

A: When two triangles are similar then their side ratios are proportional.  So we get relation  MPQP=…

Q: 4. Find the unit tangent vector T(t) at the point with the given value of the parameter t: a) r(t) =…

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Q: 19. Suppose that the normal unit vector N of a surface S at z =f (x,y) is determined, how does the…

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Q: Find the unit tangent vector T and the prnciplal unit normal vector N for the following…

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Q: find: a. Unit tangent vector T and evaluate T(0). b. Unit normal vector N and evaluate N(0). c.…

A: a.)

Q: Compute the mean curvature for u = 1 and v= 0.

A: Given,           X(u, v)=u2-cosv, u+sin t, cosv To find the mean curvature for u=1, and v=0.

Q: 3) Solve: dy/dx = cot²(x + y) (Hint: Let U=x+y).

A: Step 1: Step 2: Step 3:

Q: Evaluat f Simt bolo CVer e -r Cardivid intial line. a(1-Case) above the

A: To find the limits of integration, identify the region of integration. The region of integration is…

Q: Ex 15: Prove that : d du a) tanh u = sech² u dx dx

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Q: aL d( aL (i = 1,2, ,n) ... aq, dt dg,

A: We have to prove given result:

Q: Which of the following descriptions for Y, A, X, B is correct so that Y = AX +B linearization for…

A: Given: y = a + xbx2.

Q: Find f'cx) a) fcx) 1. %3D +3 b) fcx)- (I+\5x)* 4

A: