At what point do the curves r1(t) = t, 3 − t, 35 + t2 and...

At what point do the curves r1(t) = t, 3 − t, 35 + t2 and r2(s) = 7 − s, s − 4, s2 intersect? (x, y, z) = Find their angle of intersection, θ, correct to the nearest degree. θ = °

Expert Solution

Colby Messinger answered 1 year ago

The curves r1(t) = < t, 4, t2-9 > and r2(s) = < 3, s2, 4-2s...

The curves r1(t) = < t, 4, t2-9 > and r2(s) = < 3, s2, 4-2s >lie on surface of f and intersect at ( 3, 4, 0 ). Find a linear approximation for the # f(3.1, 4.1).

Two spacecraft are following paths in space given by r1=〈sin(t),t,t2〉r1=〈sin⁡(t),t,t2〉 and r2=〈cos(t),1−t,t3〉.r2=〈cos⁡(t),1−t,t3〉. If the temperature for...

Two spacecraft are following paths in space given by r1=〈sin(t),t,t2〉r1=〈sin⁡(t),t,t2〉 and r2=〈cos(t),1−t,t3〉.r2=〈cos⁡(t),1−t,t3〉. If the temperature for the points is given by T(x,y,z)=x2y(6−z),T(x,y,z)=x2y(6−z), use the Chain Rule to determine the rate of change of the difference DD in the temperatures the two spacecraft experience at time t=2.t=2. (Use decimal notation. Give your answer to two decimal places.) dDdt=dDdt=

Find the vectors T, N, and B at the given point. r(t) = < t2, (2/3)...

Find the vectors T, N, and B at the given point. r(t) = < t2, (2/3) (t3), t > , < 4, -16/3, -2>

If the moment-generating function of X is M(t) = exp(3 t + 12.5 t2) = e3...

If the moment-generating function of X is M(t) = exp(3 t + 12.5 t2) = e3 t + 12.5 t2. a. Find the mean and the standard deviation of X. Mean = standard deviation = b. Find P(4 < X < 16). Round your answer to 3 decimal places. c. Find P(4 < X2 < 16). Round your answer to 3 decimal places.

Given y 1 ( t ) = t2 and y2 ( t ) = t ^−...

Given y 1 ( t ) = t2 and y2 ( t ) = t ^− 1 satisfy the corresponding homogeneous equation of t^2 y ' ' − 2 y = − 3 − t , t > 0 Then the general solution to the non-homogeneous equation can be written as y ( t ) = c1y1(t)+c2y2(t)+yp(t) Use variation of parameters to find y p ( t ) .

Find the intersection point (if any) of the lines r1(t)=(17,54,−22)+t(−3,−8,3)r1(t)=(17,54,−22)+t(−3,−8,3) and r2(s)=(−67,−50,37)+s(12,8,−7)r2(s)=(−67,−50,37)+s(12,8,−7). Please show full working/steps...

Find the intersection point (if any) of the lines r1(t)=(17,54,−22)+t(−3,−8,3)r1(t)=(17,54,−22)+t(−3,−8,3) and r2(s)=(−67,−50,37)+s(12,8,−7)r2(s)=(−67,−50,37)+s(12,8,−7). Please show full working/steps to help with learning

1. If T2 for gray matter is 100 msec at 1.5 T, it’s value for 3...

1. If T2 for gray matter is 100 msec at 1.5 T, it’s value for 3 T is most likely: a) 50 b) 70 c) 100 d) 140 e) 200 2.If transverse magnetization is Mxy the free induction decay signal is proportional to: a) (Mxy)-1 b) (Mxy)-0.5 c) (Mxy)0.5 d) (Mxy)1 e) Independent of Mxy

3) What are indifference curves and how do they relate to a budget line? Draw a...

3) What are indifference curves and how do they relate to a budget line? Draw a graph showing 3 indifference curves and a budget line. Why is one indifference curve tangent to the budget line? What happens if the price of one good changes? (15 points). please give all three graphs.

Consider the following vector function. r(t) =<3t, 1/2 t2, t2> (a) Find the unit tangent and...

Consider the following vector function. r(t) =<3t, 1/2 t2, t2> (a) Find the unit tangent and unit normal vectors T(t) and N(t). (b). Find the curvature k(t).

3) Solve the initial value problems c) R′ + (R/t) = (2/(1+t2 )) , R(1) =...

3) Solve the initial value problems c) R′ + (R/t) = (2/(1+t2 )) , R(1) = ln 8. e) ) cos θv′ + v = 3 , v(π/2) = 1. 5) Express the general solution of the equation x ′ = 2tx + 1 in terms of the erf function. 7) Solve x ′′ + x ′ = 3t by substituting y = x ′ 9) Find the general solution to the differential equation x ′ = ax + b,...

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