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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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After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 rati
nikdorinn [45]

Answer:

I think its 90

Step-by-step explanation:

3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45

you need 90 more analysts to have a 1 to 1 ratio

3 0
3 years ago
Happy finds and keeps change she finds around her house recently she learned she has all nickels and quarters she has twice as m
alex41 [277]

Answer:

happy has 25 quarters in total

8 0
3 years ago
F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
MatroZZZ [7]

Answer:

y = -x + 9

Step-by-step explanation:

The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9

8 0
3 years ago
Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?
snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = 10^{3} =1000 outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have x+y+z=1000

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

2x+z=1000

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3=\frac{10!}{3!7!} = 120 ways

So, 2x=2\times120=240

Thus z=1000-240=760

So, the probability is = \frac{760}{1000} = 0.76

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

4 0
2 years ago
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