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Gala2k [10]
3 years ago
10

What is the instantaneous rate of change of f(x)=xe^x-(x 2)e^(x-1) at x=0 ?

Mathematics
1 answer:
lozanna [386]3 years ago
8 0
You have to derive for a multiplication in both terms:
=e^x+xe^x-(e^x-1 + (x-2)e^x-1) now apply distributive property in the last term:
=e^x+xe^x+e^x-1-xe^x-1   now replace each x by 0 (x=0)
=1 + 0 + e^-1 + 0 = 1+ e^-1 = 1.3679
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Yo make lemonade you have to mix 2 quarts is water with 8 tablespoons is lemonade mix. How much mix will you need for 12 quarts
Alisiya [41]
2 quarts- 8 tablespoons
12 quarts- 8 x 6 = 48 tablespoons
6 0
3 years ago
If x+1 and x-1 are the factors of the polynomial ax^3 + x^2 - 2x +b,find the values of a and b
Nadusha1986 [10]

The polynomial remainder theorem says that dividing a polynomial p(x) by x-c leaves a remainder of p(c)=0 if x-c is a factor of p(x). In this case, check c=-1 and c=1.

a(-1)^3+(-1)^2-2(-1)+b=-a+b+3=0

a(1)^3+(1)^2-2(1)+b=a+b-1=0

From the first equation,

-a+b+3=0\implies a=b+3

and substituting into the second gives

(b+3)+b-1=0\implies2b+2=0\implies b=-1\implies a=2

3 0
3 years ago
Help me please<br><br> please show WORK and just don’t put answer to get brainlest
Tamiku [17]

Answer:

11.25

Step-by-step explanation:

4.5 / 2 = 2.25 cups/ cup rice

2.25 x 2 cups of rice = 4.5 cups of water.

5 x 2.25 = 11.25

4 0
3 years ago
Q1 - Find the circumference of following circle. Take π = 3.14
Tanzania [10]

Answer:

The circumference of the circle is <u>C-72.22 </u><u>units</u>

Step by step explanation-

Given-

  • Diameter of circle (d) = 23 units
  • π = 3.14

Now,

<h3>\mathfrak {circumference \: of \: circle = \pi d }</h3>

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3.14 \times 23

\:  \:  \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \boxed{  = 72.22 \: units}

6 0
3 years ago
Read 2 more answers
A recipe for oatmeal cookies calls for 2 cups of flour for every 3 cups of oatmeal. How much flour is needed for a big batch of
kaheart [24]

6 cups of flour is needed for a big batch of cookies that uses 9 cups of oatmeal

Step-by-step explanation:

For 3 cups of oatmeal 2 cups of flour is required.

We need to find how much flour is needed for 9 cups of oatmeal.

Solving by using Unitary Method

3 cups of oatmeal require flour = 2 cups

1 cup of oatmeal require flour = \frac{2}{3}

9 cups of oatmeal require flour = \frac{2}{3}*9\\

                                                   = 6

So,  6 cups of flour is needed for a big batch of cookies that uses 9 cups of oatmeal

Keywords: Word Problems

Learn more about Word Problems at:

  • brainly.com/question/9381080
  • brainly.com/question/1870710
  • brainly.com/question/210834

#learnwithBrainly

8 0
3 years ago
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