1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adell [148]
2 years ago
13

In Exercise, find the derivative of the function. y = 5ex + 2

Mathematics
1 answer:
ser-zykov [4K]2 years ago
8 0

Answer:

\dfrac{dy}{dx} = 5e^x

Step-by-step explanation:

We are given the following in the question:

y = 5e^x + 2

We have to find the derivative of the given function.

Formula:

\dfrac{d(e^x)}{dx} = e^x

Derivative of a constant is zero.

Derivation takes place as:

\dfrac{dy}{dx} = \dfrac{d(5e^x + 2)}{dx}\\\\=5\dfrac{d(e^x)}{dx} + \dfrac{d(2)}{dx}\\\\= 5e^x

\dfrac{dy}{dx} = 5e^x

You might be interested in
Use the Pythagorean Theorem to solve the given problem. Hint: Draw a picture or diagram.
Pepsi [2]

Answer:

Solution 2. A right triangle is formed with the bottom of the flagpole, the snapped part, and the ground. One leg is of length $1 ...

Missing: picture ‎way ‎barely

Step-by-step explanation:

A flagpole is originally $5$ meters tall. A hurricane snaps the flagpole at a point $x$ meters above the ground so that the upper part, still attached to the stump, touches the ground $1$ meter away from the base. What is $x$?

$\text{(A) } 2.0 \qquad \text{(B) } 2.1 \qquad \text{(C) } 2.2 \qquad \text{(D) } 2.4 \qquad \text{(E) } 2.5$

Solution 1

The broken flagpole forms a right triangle with legs $1$ and $x$, and hypotenuse $5-x$. The Pythagorean theorem now states that $1^2 + x^2 = (5-x)^2$, hence $10x = 24$, and $x=\boxed{2.4}$.

(Note that the resulting triangle is the well-known $5-12-13$ right triangle, scaled by $1/5$.)

Solution 2

A right triangle is formed with the bottom of the flagpole, the snapped part, and the g

5 0
2 years ago
Order the group of quadratic functions from widest to narrowest graph.
Alika [10]
In a quadratic function, y = a(x²) the smaller the coefficient "a", the larger is the parabola:
From widest to narrowest:

1) y=1/3x² (Widest)

2) y= -1/2x² (Wider)

3) y=-9x² (narrowest)

4 0
3 years ago
Read 2 more answers
Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not draw
Aleonysh [2.5K]

Answer:

x=25

Step-by-step explanation:

we know that

In this problem

The value of x represent the radius of the circle

so

Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O

see the attached figure to better understand the problem

x^{2} =20^{2}+15^{2}

x^{2} =400+225

x^{2} =625

square root both sides

x=25

8 0
3 years ago
Please help me please help​
Usimov [2.4K]

Answer:

X=10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through (-4, 8) and is parallel to the line that passes through (2, 1) and (-2, -1).
stealth61 [152]

Answer:

Step-by-step explanation:

(2,1), (-2,-1)

slope(m) = (-1-1) / (-2 - 2) = -2/-4 = 1/2

parallel lines will have the same slope

y = mx + b

slope(m) = 1/2

(-4,8)...x = -4 and y = 8

now sub and find b, the y int

8 = 1/2(-4) + b

8 = -2 + b

8 + 2 = b

10 = b

so ur equation is : y = 1/2x + 10 <==

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the surface area of the prism in square inches?2in by 8in by 11in 90 square inches 126 square inches 176 square inches 2
    6·2 answers
  • Can anyone help me please?? I’m kinda stuck and please no guesses if I don’t get this right I have to start again. Thank you in
    14·1 answer
  • How to graph the linear equation using the slope and​ y-intercept.<br> y=3x+4
    14·2 answers
  • What is a part of a line hat consists of two points called endpoints, and all the points on the line that are between the endpoi
    10·1 answer
  • I need Help pleaseeeee
    5·1 answer
  • Uh help please I don’t remember my teacher going over this. This is e-learning uh help somebody it’s number 3 btw
    7·1 answer
  • Find the measure of each angle indicated.
    13·2 answers
  • Solve the proportion<br><br> 36/17=41/x<br> what is x
    15·1 answer
  • Solve the system of linear equations by substitution. 2x=y−10 x+7=y
    7·2 answers
  • 6) Find three consecutive even integers such that two times the second equals the sum of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!