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4 years ago

PT=4x+5 and TQ =6x-7

Mathematics

1 answer:

gregori [183]4 years ago

6 0

Answer:

Step-by-step explanation:

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Need some help with indefinite integrals pleasee

goldenfox [79]

Observe that $(x^2+2x+2)'=2x+2$ .

You have that $\int \frac{2x}{x^2+2x+2}\; dx=\int \frac{2x+2-2}{x^2+2x+2}\; dx=\int \frac{2x+2}{x^2+2x+2}\; dx+\int \frac{1}{x^2+2x+2}\; dx=I_1+2I_2$ .

To compute $I_1$ you set $y=x^2+2x+2$ , so $dy=2x+2\; dx$ . Therefore, $I_1=\int \frac{1}{y}\; dy=\ln |y|=\ln |x^2+2x+2|=\ln (x^2+2x+2)$ .

For $I_2$ observe that $x^2+2x+2=(x+1)^2+1$ . Let $y=x+1$ . Then $dy=dx$ and $I_2=\int \frac{1}{y^2+1}=\arctan y=\arctan (x+1)$ .

So, $\int \frac{2x}{x^2+2x+2}=\ln (x^2+2x+2)+2\arctan (x+1)+c$ .

8 0

3 years ago

(BRAINLYST FOR ANSWER IF CORRECT) What is the value of c?<br> c+15°<br> c–16°<br> c–18°

asambeis [7]

Answer:

c = 49°

Step-by-step explanation:

Inside of the triangle angles:

c–18°
c–16°
180°-(c+15) → -c+165

these angles sum up to total 180° angle

-c+165+c-16°+c–18° = 180

c +131 = 180

c = 180° - 131°

c = 49°

5 0

2 years ago

Original price of a sweater:19.50 discount:20 percent

dexar [7]

Answer:

19.30

Step-by-step explanation:

if your finding the discounted price, you'd take 20% and turn it into .20 and then subtract 19.50 and .20

6 0

3 years ago

67×32×456÷6324+11=<br>i need answer pls pls pls pls

hodyreva [135]

Answer:

165.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Describe how the graph of y=2x os the same and different from graph of y=2x -7. explain or show your reasoning

Tanya [424]

Both graphs have the same slope, that is the same, but the thing that is different is he second equation starts at a y-int of -7, versus the first starting at 0.

5 0

3 years ago