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3 years ago

If dy/dx = tan(x), then y=

2 answers:

6 0

Dy/dx= tanx, can be answered directly using the derivatives of trigonometric functions but this is how the answer is derived
=(sinx/cosx) basic trigonometric function
= [cosx cox+sinxsinx]/cos^2x
=[cos^2x+sin^2x]/cos^2x
cos^2+sin^2x = 1 ; fundamental trigonometric identities
= 1/cos^2x; reciprocal relations
= sec^2x+C
The answer is letter B.sec^2x+C

harkovskaia [24]3 years ago

3 0

The answer to this question is:

<span>B) (sec x)^2 + C</span>

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Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0

Debora [2.8K]

So, the definite integral $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Given that

$\int\limits^1_0 {x^{2} } \, dx = 13$

We find

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx$

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, $Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx$

Since

$\int\limits^1_0 {x^{2} } \, dx = 13$ ,

Substituting this into the equation the equation, we have

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Learn more about definite integrals here:

brainly.com/question/17074932

4 0

2 years ago

Please help me only serious answers ☺️

romanna [79]

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

4 0

2 years ago

Read 2 more answers

i need help with number 7. its solving systems of equations by substitution. please show work!!! i need help

SIZIF [17.4K]

#7:
<span>Subtract </span>y<span> from both sides:
</span>-4x=6-y

Divide both sides by -4:

Answer:
x= -6-y/4

#7 part 2:

Add <span>y</span><span> to both sides:
</span>-5x=21+y

Divide both sides by -5:

Answer: x=-21+y/5

hope i helped!

7 0

2 years ago

What is the area of the trapezoid shown below??

Ganezh [65]

Answer:

Step-by-step explanation:

8 0

2 years ago

The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks,

dimaraw [331]

Answer:

a simple random sampling.

Population is all the customers of the electronics chain store.

Step-by-step explanation:

Given that the marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.

Here since these 100 customers are selected at random no groups or partitions were made.

So this cannot be stratified or cluster. Systematic sampling is done with a pre plan and here it is not mentioned. Convenience sampling is to save time the first customers or at a particular place selected. Here it is not

So this is nothing but a simple random sampling.

Population is all the customers of the electronics chain store.

7 0

2 years ago