8792 mi long because 56 * 157 = 8792
A) 5x⁴-8 <----- the tell-tale guy is the exponent of the variable, is 4, so the degree is 4, 5x then minus then 8, two terms, a BInomial
b) 4a²-2a-16 <---- same tell-tale guy, a² has a higher exponent than say "a", so, the degree is the higher exponent, degree of 2
it has 3 terms, thus is a TRInomial
c) 9m³ <---- well, is the only term, variable exponent is 3, so, degree of 3
only one term means is a MONOmial.
0.5% is 5$ so 5$ x 12 = 60 60 x 3 is 180 180 is your answer
Answer:
√3/2
Explanation:
The directional derivative at the given point is gotten using the formula;
∇f(x,y)•u where u is the unit vector in that direction.
∇f(x,y) = f/x i + f/y j
Given the function f(x, y) = y cos(xy),
f/x = -y²sin(xy) and
f/y = -xysin(xy)+cos(xy)
∇f(x,y) = -y²sin(xy) i + (cos(xy)-xysin(xy)) j
∇f(x,y) at (0,1) will give;
∇f(0,1) = -0sin0 i + cos0j
∇f(0,1) = 0i+j
The unit vector in the direction of angle θ is given as u = cosθ i + sinθ j
u = cos(π/3)i+ sin(π/3)j
u = 1/2 i + √3/2 j
Taking the dot product of both vectors;
∇f(x,y)•u = (0i+j)•(1/2 i + √3/2 j)
Note that i.i = j.j = 1 and i.j = 0
∇f(x,y)•u = 0 + √3/2
∇f(x,y)•u = √3/2
