Answer:
f x y z 4y cos (< x >) y x sin z z xy k s is the hemisphere x2 y2 z2 25 z ≥ 0 oriented upward
use stokes theorem to evaluate f dr
s is the hemisphere x 2 y 2 z 2 16
consists of the top and the four sides but not the bottom of the cube with vertices oriented outward
stokes theorem triangle with vertices
f xyz x y 2 i y z 2 j z x 2 k where k is the triangle with vertices
∫ f ∙ dr c when f x y z 2xi 3zj xk and c is the triangle with vertices 0 0 0 1 1 1 and 0 0 2
s is the part of the paraboloid z 1 − x2 − y2 that lies above the xy plane oriented upward
Answer:
it is 7 5/12
Step-by-step explanation:
3 and 1/3 plus 4 and 1/12 and you need to multiply the denominator to get 12 ( witch is 4 ) then multiply the numerator by 4 and then you add the 2 numbers together to get 4/12 + 1/12 and then you need to add the whole numbers 3 + 4
witch gets you 7 and 5/12
The surface area of the triangular prism is of 140 cm².
<h3>What is the surface area of a prism?</h3>
It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:
- One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
- Two right triangles with sides 4 cm and 5 cm.
For a rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 15 = 120 cm²
For each right triangle, the area is given by half the multiplication of the sides, hence:
At = 2 x 0.5 x 4 x 5 = 20 cm².
Then the surface area of the prism is:
S = 120 cm² + 20 cm² = 140 cm².
More can be learned about surface area at brainly.com/question/28123954
#SPJ1
Answer:
2
Step-by-step explanation:
i used a calculator and the rounded
Answer and Step-by-step explanation:
<em>116 b.</em>
1280 × 24 = 30720
<u>30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.</u>
<em>116 c.</em>
3584 × 72 = 258048
<u>258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.</u>
<em>116 d.</em>
16250 × 24 = 390000
<u>390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.</u>
<u></u>
<u></u>
<u></u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
