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Misha Larkins [42]
3 years ago
11

Evaluate the integral 1 / (x^2 + 9) ^3/2 dx.

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0

Answer:

Step-by-step explanation:

cheese monkey nut

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What is the discriminant of the equation x^2+11x-10=0
Burka [1]
The discriminant is b^2-4ac
ax^2+bx+c=0
x^2+11x-10=0

11^2-4(1)(-10)
1. Simplify 11^2 to 121
121-4(1)(-10)

2. Simplify 4*1*-10 to -40
121-(-40)

3. Simplify brackets
121+40

4. Simplify 
161
Your discriminant is 161


7 0
4 years ago
Find the area of a trapezoid if the altitude is 6 inches and the median is 8 inches. (Hint: Recall that the median of a
zlopas [31]

Answer:

48 sq. units

Step-by-step explanation:

The area of a trapezoid is given by half sum of the bases multiplied by the height

=\frac{1}{2} (a+b)h

where a and b are the two parallel sides of the trapezoid and h is the height or amplitude of the trapezoid

But you are aware that, the median of a trapezoid is equal to half the sum of the bases, thus the first part of the formulae  is covered by the median

Median=\frac{1}{2} (a+b)

Hence area, A, of a trapezoid is simplified to product of median and amplitude

A=amplitude*median\\\\A=6*8=48sq.units

3 0
4 years ago
Read 2 more answers
Write a polynomial functionſ of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 1,3, and
otez555 [7]

Answer:

f(x) = x^{4}  -  8x^{3}  + 24x^{2}  - 32x  + 15

Step-by-step explanation:

First of all, if 2 - i is a zero, then so is 2 + i

All you need to do now is multiply (x - 1)(x - 3)(x - 2 + i)(x - 2 - i)

I will do part of that multiplication

(x - 2 + i)(x - 2 - i) = x^{2} - 2x - xi - 2x + 4 + 2i + xi - 2i - i^{2}

                           = x^{2} - 4x + 5

So, now (x - 1)(x - 3)(x^{2} - 4x + 5) =  x^{4}  -  8x^{3}  + 24x^{2}  - 32x  + 15

I will let you finish that multiplication.  I did some and you can do some.  OK?

                                     

8 0
3 years ago
Identify the vertex for the graph of y = 2x2 + 8x − 3
xxTIMURxx [149]
X = -b/2a
x = -8/4
x = -2
Plug -2 in for x and solve for y
y = 2(-2)^2 + 8(-2) -3
y = 8 -16 -3
y = -11
Vertex (-2, -11)
5 0
4 years ago
HELP! I WILL GIVE BRAINLIEST AND RATING!
Ede4ka [16]

Answer:

The answer is C.

6 0
3 years ago
Read 2 more answers
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