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JulsSmile [24]
3 years ago
5

Integrals with variables.

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

a = 5, b = 14

Step-by-step explanation:

∫₁¹⁴ f(x) dx is the area under f(x) between x = 1 and x = 14.

∫₁⁵ f(x) dx is the area under f(x) between x = 1 and x = 5.

Therefore, the difference is the area under f(x) between x = 5 and x = 14.

∫₁¹⁴ f(x) dx − ∫₁⁵ f(x) dx = ∫₅¹⁴ f(x) dx

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The inverse, f'(x), of f(x) =
astraxan [27]

Step-by-step explanation:

Given

f(x) =  \frac{x + 5}{x}

So

f(2) = \frac{2 + 5}{2}  \\  =  \frac{7}{2}

Now

{f}^{ - 1} (x) =  \frac{5}{x - 1}

So

{f}^{ - 1} (2) =  \frac{5}{2 - 1} \\  =  \frac{5}{ 1}   \\  = 5

Hope it will help :)❤

7 0
2 years ago
The answer to this question here in the photo cause I don’t know this
Lady bird [3.3K]

Answer:

19.

Step-by-step explanation:

PEMDAS.
3^2=9
5 x 2 + 9
10 + 9 = 19

5 0
2 years ago
True or False? The graph of sine can be used to construct the graph of the secant function.
amid [387]

True

Note that:

secant \theta = \frac{1}{cos\theta}

The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.

That is,  sin x  =  cos (90  -  x)

Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function

Mathematically:

since  sec x  =  1 / cos x

and, cos x = sin (90 - x)

therefore, sec x = 1 / sin (90 - x)

The graphs of the sine and secant functions are attached to this solution

Learn more here: brainly.com/question/9554579

5 0
3 years ago
Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se
vovangra [49]

Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6

6*35+ 24*40 = 210+960= $1170

<em />

Given details

To make a complete tour, at least 1 economy seats

and 6 deluxe seats

Maximum passengers per tour = 30

<em />

<em>"Boat Tours makes $40 profit for each </em><em>economy</em><em> seat sold and $35 profit for each deluxe seat sold"</em>

<em> </em>Therefore, to maximise profit, he needs to take more of economy seats

Hence

Let a deluxe seat be x and economy seat be y

Maximise

6 x+ 24y = 30

The maximum profit from one tour is  = 6*35+ 24*40 = 210+960= $1170

Learn more

brainly.com/question/25828237

<em />

7 0
2 years ago
Enter the equation in standard form. y=9/3x-5/3
Marianna [84]
<span>y = 9/3 x - 5/3
3y = 9x - 5
9x - 3y = 5 ...<----this is standard form</span>
3 0
3 years ago
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