Let

h(x,t)=2+cos(0.5x-t)

describe a wave. The value of

h(x,t)

gives the depth of the water in cm at a distance

x

meters from a fixed point and at time

t

seconds. Evaluate

h_(x)(2,6)

and

h_(t)(2,6)

.\ Round your answers to three decimal places.\

h_(x)(2,6)=\ h_(t)(2,6)=

\ Interpret

h_(x)(2,6)

and

h_(t)(2,6)

in terms of the wave.\ The value of

h_(x)(2,6)

is the slope of the surface of the wave at position

x=2

and time

t=6

.\ The value of

h_(t)(2,6)

is the the vertical velocity of the surface of the water

v

at position

x=2

and time

t=6

.

Let h(x,t)=2+cos(0.5xt) describe a wave. The value of h(x,t) gives the depth of the water in cm at a distance x meters from a fixed point and at time t seconds. Evaluate hx(2,6) and ht(2,6). Round your answers to three decimal places. hx(2,6)=ht(2,6)= Interpret hx(2,6) and ht(2,6) in terms of the wave. The value of hx(2,6) is at position x=2 and time t=6. The value of ht(2,6) is the the at position x=2 and time t=6