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3 years ago

Help with the calculus problem please

Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral

$\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}$

which follows from

• the fact that d/dx [sin(x)] = cos(x)

• the fundamental theorem of calculus

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Lola takes the train from Paris to Nice. The distance between the two cities is about 920,000 meters. If the train travels at a

Vlada [557]

First, you need to convert 920,000 meters to kilometers because the speed of the train is kilometer per hour, 920,000 meters is equal to 920 kilometers. Then, all you need to do left is take 920 (the distance from Paris to Nice in kilometer) and divide it by 230 (the speed of the train), so you will get 4. So you should write the answer like this: "The total time that took Lola to get from Paris to Nice is 4 hours."Hope this help you.

5 0

3 years ago

When you reflect a point over the x-axis you negate the y value. True False

Brums [2.3K]

Answer:

True.

Step-by-step explanation:

The rule for reflecting the X value is to negate the Y value but leave the X as it is.

Example: K= (7,2) when reflected it would be (7,-2).

6 0

3 years ago

A bus entered the freeway and traveled at a constant speed of 80 mph. Two hours later a second bus followed the first bus, enter

Wittaler [7]

Answer:

It will take about 15-20 Minutes to catch up to that bus.

Step-by-step explanation:

65+ 20= 85 so its a tad bit over but it works.

6 0

3 years ago

True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b

Mazyrski [523]

Answer:

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = $\pi r\times l$ , where l is the length of the lateral side.

So, we get $L_{A}$ = $\pi r\times h$ .

Also, Lateral surface area of cylinder is $2\pi r\times h$ , where h is the height of the cylinder.

So, we get $L_{B}$ = $2\pi r\times h$

Thus, we see that, $L_{A}=\frac{1}{2}\times L_{B}$

Hence, the given statement is correct.

6 0

3 years ago

Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)

Pavlova-9 [17]

Answer:

$y=\frac{1}{4}x+2$

m= $\frac{1}{4}$

b= 2

$y=-\frac{1}{3}x+1$

m= $-\frac{1}{3}$

b= 1

$y=3x+4$

m= 3

b=4

Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=\frac{1}{4}x+2$

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=-\frac{1}{3}x+1$

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=3x+4$

3 0

2 years ago