Answer
whats the problem.
Step-by-step explanation:
First find the gradient by using partial derivatives.
Sub in given point (0,-1,2) for x,y,z
∨
Next, find unit vector from directional vector (0,-1,2) --> (-3,4,-3)
Finally, use dot product on gradient and unit vector to get directional rate of change.
Answer is approx 61.398
Answer:
Slope, m = 1/4 = 0.25
Step-by-step explanation:
Slope,m of a line on a graph is derived from the formula,
Slope, m = change in value of y ( on the vertical axis) divided by change in the value of x ( on the horizontal axis)
change in value of y = final value of y (y2) - initial value of y (y1)
change in value of x = final value of x (x2) - initial value of x (x1)
From the graph, we will pick corresponding points.
Final value of y, y2 = 6
Initial value of y, y2 = 5
Final value of x, x2 = 0
Initial value of x, x2 = -4
Slope = (y2-y1) / (x2-x1)
= (6 - 5)/0 - - 4 = 1 / 4
= 0.25
Answer:
1. a) 8 cm × 8 cm = 64 sq cm
b) (64 cm²) × 6 squares = 384 sq cm
2. 152 sq cm
Step-by-step explanation:
1. The area of any rectangle is the product of its length and width. For a square, length and width are the same. The square faces of your die have length and width of 8 cm, so the area is (8 cm) × (8 cm) = 64 sq cm.
A cube has 6 faces of identical size, so the total surface area is 6 times the area of one face. Your cube's surface area is 6 × 64 sq cm = 384 sq cm.
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2. A rectangular prism (cuboid) has 6 faces—3 pairs that are the same size. The area is the total of the areas of these pairs of faces. It can be computed by ...
A = 2(LW + WH + LH)
For your rectangular prism, this is ...
A = 2((8 cm)×(6 cm) + (6 cm)×(2 cm) + (8 cm)×(2 cm))
= 2(48 sq cm + 12 sq cm + 16 sq cm)
= 2×(76 sq cm)
= 152 sq cm
