(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that...

(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|.

(b) Show that L achieves the lower bound
Length(L) = |AB|

if and only if the vertices V1,...,Vk−1 all lie on the segment AB and appear in that orderonAB,i.e.,theysatisfyVi ∈Vi−1Vi+1 forall1≤i≤k−1.

Expert Solution

Colby Messinger answered 1 year ago

1.(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that...

1.(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that L achieves the lower bound Length(L) = |AB| if and only if the vertices V1,...,Vk−1 all lie on the segment AB and appear in that orderonAB,i.e.,theysatisfyVi ∈Vi−1Vi+1 forall1≤i≤k−1.

In the figure, a thin horizontal bar AB of negligible weight and length L = 3.2...

In the figure, a thin horizontal bar AB of negligible weight and length L = 3.2 m is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle θ = 40° with the horizontal. A block of weight W = 140 N can be moved anywhere along the bar; its position is defined by the distance x = 2.07 m from the wall to its center of mass. Find (a)...

The temperature , u(x,t), in a metal rod of length L satisfies del u/ del...

The temperature , u(x,t), in a metal rod of length L satisfies del u/ del t = k del squared u / del x squared limit 0 less than or equal to, x less than or equal to L , t greater than or equal to 0 The ends of the rod at x=0 and x=L , are maintained at a constant temperature T not 0 , so that the boundary conditions are u(0, t) =0 u(L, t)...

Suppose a and b belong to a commutative ring and ab is a zero-divisor. Show that...

Suppose a and b belong to a commutative ring and ab is a zero-divisor. Show that either a or b is a zero-divisor. provide explanation please.

Which line is perpendicular to a line that has a slope of ? line AB line...

Which line is perpendicular to a line that has a slope of ? line AB line CD line FG line HJ 1/2?

Consider the following reaction A(g) + B(g) --> AB(l) The table shows the data for [A]...

Consider the following reaction A(g) + B(g) --> AB(l) The table shows the data for [A] vs time. Tell me the order of the reaction with respect to A. Provide a plot(graph) that supports your answer. Give me the value of the rate constant with the appropriate units. time (sec) [A], M 0 100 10 82 20 68 30 55 40 43 50 35 60 27

1). Consider a transmission line made of a conductor with length l, the lines are made...

1). Consider a transmission line made of a conductor with length l, the lines are made of conductor with resistance per unit length R, inductance per unit length L, between the two lines is dielectric material with conductance per unit length Gand capacitance per unit length C. (a) Derive transmission line equations (telegrapher’s equations) for the phasors of the voltage difference and current in the transmission line. Explain the meaning of the spatial coordinate clearly. (b) Write down the general...

Derive the input impedance of the transmission line of Z0, length ‘l’ and terminated with Zl.

The reaction AB(aq)→A(g)+B(g) is second order in AB and has a rate constant of 0.0249 L⋅mol−1⋅s−1...

The reaction AB(aq)→A(g)+B(g) is second order in AB and has a rate constant of 0.0249 L⋅mol−1⋅s−1 at 25.0 ∘C. A reaction vessel initially contains 250.0 mL of 0.180 mol⋅L−1 AB which is allowed to react to form the gaseous product. The product is collected over water at 25.0 ∘C. Part A How much time is required to produce 270.0 mL of the products at a barometric pressure of 736.7 mmHg . (The vapor pressure of water at this temperature is...

A narrow copper wire of length L and radius b is attached to a wide copper...

A narrow copper wire of length L and radius b is attached to a wide copper wire of length L and radius 2b, forming one long wire of length 2L. This long wire is attached to a battery, and a current is flowing through it. If the electric field in the narrow wire is E, the electric firld in the wide wire is.

Question