Homework Answers
Answer to the above questions -
1. Given point (1, π/3)
since θ is in range 2π < θ < 4π
option C. (1, 7π/3)
2.
option C.
12 (cos 105 + i sin105) , 12 (cos 285 + i sin 285)
3. option D. 28 cans
4.
option C. 40 ft.lb
5.
option D. a = 16.68
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Hi need help for these Questions:
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Find
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answer q5,6,7,8 please
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Hi need help for these Questions:
a. Given f = yi + xzk and g =
xyz2, determine (∇ x f ) .
∇g at the point (1,0,3)
b. Point A lies on the curve r(t) = 2 cos t i +
2 sin t j + t k for the range 0 ≤
t ≤ 2π . At point A, the tangent vector is T = -
21/2i +
21/2j + k. Determine
the co-ordinates of point A and...
Find
f: [0, 1] + R given by ſi if r = for any positive integer n, JE) 10 otherwise, We were unable to transcribe this image
EXAMPLE 1 (a) Find the derivative of r(t) = (3 + t4)1+ te-y + sin(40k. (b) Find the unit tangent vector at the point t0. SOLUTION (a) According to this theorem, we differentiate each component of r: t 45 cos (4t) r(t) + 3 (b) Since r(0)= and r(o) j+4k, the unit tangent vector at the point (3, 0, 0) is i+ 4k T(0) = L'(0)--
EXAMPLE 1 (a) Find the derivative of r(t) = (3 + t4)1+ te-y +...
2. A simple pendulum with length satisfies the equation
a) If 0 is the amplitude of the oscillation, show that its
period T is given by
where
and
.
We were unable to transcribe this image9 S2n π/2 do T= asin 6 woJo V We were unable to transcribe this image0 Syク 2. A simple pendulum with length ( satisfies the equation (a) If θ0 is the amplitude of the oscillation, show that its period T is given by 1...
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answer q5,6,7,8 please
Find the unit tangent vector T(0) at the point with the gliven value of the parameter t. r(t)-cos(t)I + 8t1 + 3 sin(2t)k, t 0 T(o) Need Help? adHTer Find parametric equations for the tangent ine to the curve with the given parametric equations at the spedfled point. Evaluate the ietegral Need Help?h h SCakETS 13 200 Evaluate the integral.
Find the unit tangent vector T(0) at the point with the gliven value of the parameter t....
(1 point)
Given
R(t)=e4tcos(3t)i+e4tsin(3t)j+3e4tkR(t)=e4tcos(3t)i+e4tsin(3t)j+3e4tk
Find the derivative R′(t)R′(t) and norm of the derivative.
R′(t)=R′(t)= ∥R′(t)∥=‖R′(t)‖=
Then find the unit tangent vector T(t)T(t) and the principal
unit normal vector N(t)N(t)
T(t)=T(t)= N(t)=N(t)=
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4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude versus ω and the phase angle versus ω of the transforms of the following signals. (a) t0, (b, (e) x(2), and (e) x() expG10) dx(t) dt' TABLEme Selected Properties of the Fourier Transform X (o) 2. 3. x(-t) X (-o) 5. x(-o) x (at) la l 8. lx ()12 dr x(t)h(C) x (t) 9. 10. 2π X (ω-@g) d"X (0) 12....
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