Find the point (s) on the surface function ??^2 ?^3 = 3 + 8 + 6...

Find the point (s) on the surface function ??^2 ?^3 = 3 + 8 + 6 that are closest to the origin.

Expert Solution

milcah answered 2 years ago

Consider a surface S given by A point P on this surface is given by r(0,0,0, 3 (a) Find the norma...

Consider a surface S given by A point P on this surface is given by r(0,0,0, 3 (a) Find the normal curvature of the surface at an arbitrary point (θ,t) in terms of (d, d). (b) Find the principal curvatures of the surface at an arbitrary point (0, t) c)Find two unit tangent vectors to S at P that point in the principal directions. (d) The vector v (-4, 1,3) is tangent to S at P. Find the normal curvature...

Find the point of intersection of the lines (x-2)/- 3 = (y-2)/6 = z-3 & (x-3)/2...

Find the point of intersection of the lines (x-2)/- 3 = (y-2)/6 = z-3 & (x-3)/2 = y+5 = (z+2)/4. Write the answer as (a, b, c). If they are not cut, write: NO

a) If the production function is: ? = 2 ∗ ? .5? .6 find the function...

a) If the production function is: ? = 2 ∗ ? .5? .6 find the function for the marginal product of labor and the function for the marginal product of capital. b) Use the marginal products that you just found and the wage of $100,000 and the rental rate of $1,000,00 to determine if the last dollar rule is satisfied when there are 50 engineers (L) and 2 prototyping facilities (K). If it is not satisfied, should the firm use...

Find the minimum cost SOP expression for the function F(w, x, y, z)=∏M(2, 3, 6, 8,...

Find the minimum cost SOP expression for the function F(w, x, y, z)=∏M(2, 3, 6, 8, 9, 11, 12, 13) using k-map. Write also all prime implicants and essential prime implicants.

The surface z = 3x^(2) + (1/6)x^(3) - (1/8)x^(4) - 4y^(2) is intersected by the plane...

The surface z = 3x^(2) + (1/6)x^(3) - (1/8)x^(4) - 4y^(2) is intersected by the plane 2x - y = 1. The resulting intersection is a curve on the surface. Find a set of parametric equations for the line tangent to this curve at the point (1,1,-23/24).

Some process has the following transfer function: Gp(s)= (s+8)/[(s+3)(s+6)(s+10)] We need to conrol this process very...

Some process has the following transfer function: Gp(s)= (s+8)/[(s+3)(s+6)(s+10)] We need to conrol this process very accurately so we add negative feedback and a controller. Design a suitable controller to meet the following specifications: Maximusm Overshoot is approximately 20% Settling time is 0.8s or smaller Steady-State error for a step input is zero

Find the local maximum and minimum values and saddle point(s) of the function. f(x,y)=5-10x+12y-5x^2-4y^3

Suppose that ? is the intersection of the plane ?+?+3?=4 and the surface ?^2−?^2=?^2−8 . Note...

Suppose that ? is the intersection of the plane ?+?+3?=4 and the surface ?^2−?^2=?^2−8 . Note that this intersection contains the point (3,4,−1) . Verify the assumptions of the implicit function theorem at this point; then if ?(?)=(?,?) φ ( x ) = ( y , z ) be the function from ℝ→ℝ2 R → R 2 verifying the conclusion of the implicit function theorem, compute ??(3) J φ ( 3 ) using the theorem. Verify your conclusion by explicitly...

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)=...

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)= 3) Find the Laplace transform of f(t)=u(t−6)⋅t^2 F(s)=

Consider the data set. 2, 3, 4, 6, 8 (a) Find the range. (Enter an exact...

Consider the data set. 2, 3, 4, 6, 8 (a) Find the range. (Enter an exact number.) (b) Use the defining formula to compute the sample standard deviation s. (Enter a number. Round your answer to two decimal places.) (c) Use the defining formula to compute the population standard deviation σ. (Enter a number. Round your answer to two decimal places.)

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