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2 years ago

Đạo hàm cấp 2 của hàm số y = √ x ( x3 + 1)

Mathematics

1 answer:

Umnica [9.8K]2 years ago

7 0

Answer:

Do đó với y ≠ 0 (tương đương với x ≠ 1),

y ′ ′ = - y − 2 (2x + 2yy′2) = - y − 2 (2x + 2y (x4 / y4)) = - 2y − 5x (y3 + x3) = - 2y − 5x

vì y3 + x3 = 1. Điều này cũng có thể được viết dưới dạng y ′ ′ = - 2yxy − 6 = −2yx (1 − x3) −2.

Step-by-step explanation:

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Solve the system of equations -7x - 6y = 4 x= -3y + 8

Svetradugi [14.3K]

You can use the substitution method for this problem
Since -3y+8=x you can
Use the equation -7(-3y+8) -6y=4
You then distribute and solve
21y-56-6y=4
15y=60
Y=4
You then plug y into one of the original equations
X=-12+8
X=-4
(-4,4)

7 0

3 years ago

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

3 years ago

Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?

fiasKO [112]

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

$0.1n = 5$

$n = \frac{5}{0.1}$

$n = 50$

John answered 50 questions.

7 0

3 years ago

_____ compare one quantity to 100.

Alexxx [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

4/6 x what equals 8/6

Sidana [21]

Answer: 4/6

1. Subtract 8/6 by 4/6.

8/6 - 4/6 = 4/6

4/6 + 4/6 = 8 is the same as:

4 + 4 = 8

<em>Notice: You don't change the denominator if your adding or subtracting.</em>

<em />

<h2>Final answer: 4/6. </h2>

5 0

3 years ago