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k0ka [10]
3 years ago
14

What is the antiderivative of secx-tanx

Mathematics
2 answers:
Leto [7]3 years ago
7 0

Answer:

tan

2

(

x

)

sec

(

x

)

+

sec

3

(

x

)

Step-by-step explanation:

Ivenika [448]3 years ago
6 0

Step-by-step explanation:

∫ (sec x − tan x) dx

∫ sec x dx + ∫ -tan x dx

∫ (sec²x + sec x tan x) / (sec x + tan x) dx + ∫ (-sin x / cos x) dx

ln(sec x + tan x) + ln(cos x) + C

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2/3 cup of oatmeal is needed to make 10 granola bars. how many such granola bars can be made with 20 cups of oatmeal? Kindly ple
aleksandrvk [35]
2/3 cup of oatmeal - 10 granola bars

When the number of cups of oatmeal increases, the number of granola bars also increases.
If you use for example twice as many cups of oatmeal, you'll make twice as many granola bars.
Therefore, the first step is to calculate how many times 20 cups of oatmeal is more than 2/3 cup of oatmeal. To do it, divide 20 by 2/3.

20 \div \frac{2}{3} = 20 \times \frac{3}{2}=\frac{60}{2}=30

You have 30 times as many cups of oatmeal, so you'll make 30 times as many granola bars.

10 \times 30= 300

300 granola bars can be made with 20 cups of oatmeal.
5 0
3 years ago
Read 2 more answers
Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a
Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given y=\frac{\ln\left(5x)}{x^2}

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

y'=\frac{1-2\ln\left(5x)}{x^3}=0

x = \sqrt e/5 is absolute maximum

y''=\frac{6\ln\left(5x)-5}{x^4}=0

x=e^{5/6}/5 is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

4 0
3 years ago
PLZ HELP!!!
slava [35]

Answer: Senior: $8, Child: 14

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

c = 14

3s + 14 = 38

3s = 24

s = 8

5 0
2 years ago
Read 2 more answers
What's another way to write (6+7)x?
Annette [7]
I think 6x+7x because i think u distribute 
6 0
3 years ago
Read 2 more answers
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
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