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3 years ago

9

What is the value discriminate b squared -4 AC for the quadratic equation zero equals negative 2X squared minus 3X +8 and what d

oes it mean about the number of real solutions equation has

1 answer:

SVEN [57.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

-2x²-3x+8=0

disc.=b²-4ac=(-3)²-4(-2)(8)=9+64=73>0

it has two real irrational solutions.

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∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0

4 years ago

How do you write 1 and 1/4

S_A_V [24]

If you mean as an improper fraction, you multiply the whole number by the denominator then add the numerator to get 5/4. If you mean to a decimal, then 1.25.

6 0

3 years ago

Read 2 more answers

A right rectangular prism has a length of 6 cm a width of 8 cm and a height of 4 cm the dimension of the prism are half what is

Setler [38]

Answer:

Answer 24 cm^3

Step-by-step explanation:

If the dimensions are 1/2 the volume is 1/8 the original volume. There are 2 ways to do this. I'm going to choose the most straight forward.

Formula

V = L * w * h

Givens

L = 6

w = 8

h = 4

Solution

V_original = 6 * 8 * 4 = 192

V_half = 3 * 4 * 2 = 24

V_original / V_half = 192/24 = 8/1

So the other way around (V_half/V_original) = 1/8

4 0

4 years ago

Solve the inequality.<br><br> 9(2 − x) − 4(2 − 3x) > 9

e-lub [12.9K]

Remove both sets of brackets.

18 - 9x - 8 + 12x > 9 Collect like terms on the left.

12x - 9x + 18 - 8 > 9

3x + 10 > 9 Subtract 10 from both sides.

3x > 9 - 10

3x > - 1 divide by 3

x > -1/3

Notice what the graph is telling you. A blue dotted line is going through x = - 1/3 or - 0.3333

Everything to the right of - 0.333 is colored blue and that means anything to the right if going to be a solution to the inequality. To confirm this for yourself, try zero and 1. Both should give larger than 9 solutions.

4 0

4 years ago

Read 2 more answers

A 12-story office building is 120 ft tall with plan dimensions of 120 × 80 ft. the structure is of conventional curtain wall con

trasher [3.6K]

Answer:

96. (b)-0.066

97. (d)-0.096

98. (a)179

99. (a)-78

Step-by-step explanation:

Please see attachment

5 0

3 years ago