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alekssr [168]
3 years ago
13

F(x) = 4√(2x³-1) F'(x) =....?

Mathematics
1 answer:
icang [17]3 years ago
7 0
y= \sqrt[4]{(2x^3-1)} \\ y^4=2x^3-1 \\ 2x^3=y^4+1 \\ x^3= \frac{y^4+1}{2} \\ x= \sqrt[3]{\frac{y^4+1}{2}}

Therefore, F'(x) = \sqrt[3]{\frac{y^4+1}{2}}
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I will give brainliest!!!
Cloud [144]

Answer:

1) 36 square units.

2) 190 square units.

Step-by-step explanation:

As you can see, the figures are trapezoids, therefore, you can calculate the area of each one of them with the following formula:

A=(\frac{B+b}{2})h

Where:

<em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.

Then:

1) B=4units+(8units-2units)=4units+6units=10units\\b=8units\\h=4units

A=(\frac{10units+8units}{2})(4units)=36units^{2}

2) B=3units+15units+5units=23units\\b=15units\\h=10units

A=(\frac{23units+15units}{2})(10units)=190units^{2}


3 0
4 years ago
Need help asappppp please
lisov135 [29]

Answer:

It would be 1/4

Step-by-step explanation:

7 0
3 years ago
An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the drive
valina [46]
I believe the answer is expected .
8 0
3 years ago
You’ve bought a cylindrical thermos 8 in. high with a base 6 in. across. How much coffee can you put in the thermos?
lana66690 [7]

Answer:

3.706 liters

Step-by-step explanation:

Hello

assuming that these measures correspond to the internal measures of the thermos,

we can calculate the volume as, the volume of a cylinder, which is given by

V=\pi r^{2} h

where r is the radius of the base, and h the height

also

Diameter=2r

r=Diameter/2

Step 1

let

h=8 in

base = diameter = 6 inch

r=diameter/2

r=6/2 inch,r=3 inch

Step 2

Put the values into the equation

V=\pi r^{2} h\\V=\pi (3in)^{2} (8 in)\\V=\pi *72 \ in^{3} \\\\V=72\pi\ in^{3} \\\\

Step 3

Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing

1 inch = 2.54 cm

1 litro =  1000 cubic centimeters

if\ 1\ inch\ = 2.54\ cm\\(1\ inch)^{3} =(2.54\ cm)^{3}\\\\1\ inch^{3}=16.3870\ cm^{3}

1 cubic inch = 16.3870 cubic centimeters

1\ cubic\ inch\ = 16.3870\ cubic\ centimeters\\\\\\72\pi =x?\ cubic\ centimeters\\\\x=\frac{72\pi \cubic \ inch\ \*16.3870 }{1\ cubic\ inch} \\\\x=3706.65\ cubic\ centimeters

Step 4

Finally, convert cubic centimeters into liters1000\ cubic\ centimeters =1\ liter \\\\\\3706.65\ cubic\ centimeters = x?\ liters\ centimeters\\\\x=\frac{3706.65 \cubic \ centimeters\ \*1 liter}{1000 cubic centimeters} \\\\x=3706.65\ cubic\ centimeters\\x=3.706 Liters

I can put 3.706 liters in the thermos

Have a good day

4 0
4 years ago
the larger of two numbers is 10 less than twice the smaller number, if the sum of two number is 38,find the two numbers
g100num [7]

Answer:

2numbers of tens and need to be the best

5 0
3 years ago
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