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yulyashka [42]
3 years ago
7

1. Calculate the Riemann sum for f(x) = sqrt(x) on the interval [0, 10] using the partition {0,2,5,10} and c 1 =1 , c 2 =4 , and

c 3 =9 .
Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

Answer:

Riemann Sum = 13

Step-by-step explanation:

Step1 : Calculate the widths of the sub intervals

Δx₁=2−0=2

Δx₂=5−2=3

Δx₃=10−5=5

Step 2: Calculate the values at the sample points

f(1) = \sqrt{1} = 1

f(2) = \sqrt{4} = 2

f(3)= \sqrt{9} = 1

Riemann Sum = Δx₁f(1) + Δx₂f(2) + Δx₃f(3) = 2*1 + 3*2 + 5*1 = 13

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kicyunya [14]

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

\frac{a}{sinA} = \frac{b}{sinB}

\frac{28}{sinA} = \frac{12}{sin25}

Cross multiply:

28 sin25 = 12 sinA

11.83 = 12 sinA

Sin A = \frac{11.83}{12}

Sin A = 0.986

A = sin^-^1(0.986)

A = 80.44 degrees

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0
2 years ago
What is 77,543 rounded to the nearest ten?
deff fn [24]

Answer:

77,540

Step-by-step explanation:

Since 3 is less than 4, we round down a ten. This comes out to 77,540.

3 0
3 years ago
Read 2 more answers
HELP WITH THE FIRST QUESTION WHAT IS THE INEQUALITY
Finger [1]

Answer:

y\ge\left(2x-3\right)

(edited)

7 0
2 years ago
Please help WILL GET REPORTED IF ANSWERS NONSENSE FOR POINTS I am really struggling and need help It is a lot of points so try a
Anton [14]

Answer:

301.59

Step-by-step explanation:

your answer was almost right you just forgot to multiply by 9

4 0
3 years ago
Please help me!!!!!​ i need full answer.
salantis [7]

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( \frac{x+y}{2})sin (\frac{x-y}{2} )

sin x - sin y = 2cos (\frac{x+y}{2} )sin (\frac{x-y}{2} )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin(\frac{A+B}{2})sin(\frac{A-B}{2} ) ]² + [ 2cos(\frac{A+B}{2} )sin(\frac{A-B}{2} ) ]²

= 4sin² (\frac{A+B}{2} )sin² (\frac{A-B}{2} ) + 4cos² (\frac{A+B}{2} )sin² ( \frac{A-B}{2} )

= 4sin² (\frac{A-B}{2} )[ sin² ( \frac{A+B}{2} ) + cos² ( \frac{A+B}{2} ) ← sin²x + cos²x = 1

= 4sin² ( \frac{A-B}{2} ) × 1

= 4sin² ( \frac{A-B}{2} ) = right side ⇒ proven

4 0
3 years ago
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