All categories

4 years ago

Let h(x) = e^(kx) + f(x),

1 answer:

3 0

$\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)
\\\\\\
\begin{cases}
x=0\\
f'(0)=-8
\end{cases} 
h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8$

You might be interested in

Subtract 4 from 1/6 in parentheses

Rom4ik [11]

I am not sure if what I am about to explain is correct but I hope it is somewhere along the correct path

To solve the problem use the following steps below....

Step 1: Take your numbers and place them in parentheses

(4-1/6)

Step 2: Turn your whole number,4, into a fraction

6/6=1
6/6x4=24/6

Step 3: Place your new fraction back into the problem

(24/6-1/6)

Step 4: Use the operation,subtraction, and minus 1/6 from 24/6

(23/6)
24/6 minus 1/6=23/6

Step 5(is optional): Turn 23/6 into a mixed fraction by dividing 23 by 6

23<span>÷6= 3 5/6

Step 6(is optional): put your answer into a final statement

(4-1/6)=23/6=3 5/6

Answer: 3 5/6

I hope this helps and I apologize in advance if any false information was given.
</span>

3 0

3 years ago

Helppp plzzz solve them

Airida [17]

2. y=12000(.06)4x<span>
3. y=300(.08)5x
Hope this helps</span>

5 0

3 years ago

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o

kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0

3 years ago

Please help. 2) What is the equation of the circle?

barxatty [35]

Answer:

The general equation of a circle is (x – h)2 + (y – k)2 = r2, where (h, k) represents the location of the circle's center, and r represents the length of its radius.

Step-by-step explanation:

5 0

3 years ago

Convert 25 1/3% to decimal. Round to the nearest thousandth if necessary.

Anni [7]

Decimal: 25.3333, but converted properly it is
.253333....(repeating) so to the nearest thousands it would be .253

6 0

3 years ago