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3 years ago

Differentiate y=a/x+b with respect to x, when a and b are constant

Mathematics

1 answer:

Basile [38]3 years ago

7 0

Answer:

-a/(x+b)²

Step-by-step explanation:

Given the function y = a/x+b

To differentiate, we will use the quotient rule.

dy/dx = (Vdu/dx-Udv/dx)/V²

Let u = a

v = x+b

Note that differential of a constant is zero

du/dx = 0

dv/dx = 1

Substitute

dy/dx = (x+b)0 - a (1)/(x+b)²

dy/dx = 0 - a/(x+b)²

dy/dx = -a/(x+b)²

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One angle of a parallelogram measures 45°. What are the measures of the other three angles

Sergeu [11.5K]

Answer: 135, 45, and 135 are the three other angles

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Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

8 0

3 years ago

The sum of three consecutive even integers is -78, what are the integers ?

Digiron [165]

First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that the sum of three consecutive even integers is $-78$ , therefore, you can given the variable $x
$ to the first integer, the second even integer is $x+2$ and the third one is $x+4
$ .
2. Calculate x:
 $x+(x+2)+(x+4)=-78$ 
 $3x+6=-78$
 $x=-28
$ 
 $x+2=-28+2=-26
$ 
 $x+4=-28+4=-24
$ 
Therefore, the answer is: $-28,-26,-24
$

5 0

3 years ago

5x+21+178/(x-7) How do I solve for domain and range on this equation?

Luda [366]

The domain is easiest. You simply need to find the fractions, and exclude any X that makes the denominator zero. So in this case, your domain is everything except X=7.

For range, you are trying to find out what are the possible answers. Usually the best way to do this is to try x=infinity, and x=negative infinity, which here gives you answers of infinity and negative infinity. Since the function is almost continuous, I think your range is any real number.

3 0

3 years ago

A beverage company surveyed 450 adults to determine the demand for summer drinks.

Ganezh [65]

Answer:

174 people preferred drinking water.

Step-by-step explanation:

Given that:

A total of 450 males and females were surveyed.

203 were males.

Number of females = 450 - 203 = 247 females

247 females were surveyed.

Now, we will find the number of females who prefer water.

Let,

x be that number.

Total number of females = Soda + Iced tea + Lemonade + Water

247 = 28 + 44 + 67 + x

247 = 139 + x

247-139 = x

x = 108

Number of people who prefer water = 108 + 66 = 174

Hence,

174 people preferred drinking water.

3 0

3 years ago

Will give brainliest: Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose cur

abruzzese [7]

Answer:

Step-by-step explanation:

• The shape of the curve is a rose curve.

• The domain are real numbers

• And the range is approximately from -2 to 2

The maximum value of r on the graph is 2

• Yes the graph is continuous and it is bounded above and below

• The graph is symmetrical about the x axis and not about the y axis.

• No asymptotes

7 0

4 years ago

Differentiate y=a/x+b with respect to x, when a and b are constant​

Differentiate y=a/x+b with respect to x, when a and b are constant