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
Setler [38]
3 years ago
7

Calculus question?

Mathematics
1 answer:
Ann [662]3 years ago
5 0
Remark
If you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)

Step One
Divide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2   Now differentiate that. It should be much easier.

Step Two
Differentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x  I wonder if there's anything else you can do to this. If there is, I don't see it.

I suppose this is possible.
y' = 3/x^(1/2) + 6x

y' = \frac{3 + 6x^{3/2}}{x^{1/2}}

Frankly I like the first answer better, but you have a choice of both.
You might be interested in
Which triangles are similar by the angle-angle criterion for similarity of triangles ?
Alex Ar [27]

Answer:

Option D is correct.

\triangle ADE \sim \triangle ABC

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

\angle ADE = \angle ABE  [Angle]             [Given]

\angle DAE = \angle BAC  [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒\triangle ADE \sim \triangle ABC

5 0
3 years ago
Help me with these, please!! Giving brainiest
RoseWind [281]
1.924 and 5.77
step 1: find the mean by adding up all the numbers and divide the sum by the number of numbers. 
step 2: find the difference between each number and the mean, square the difference
step 3: add up all the results of step 2, divide the sum by (n-1), n is the number of numbers.
step 4:  square root the result of step 3.

it is a long process. 




7 0
3 years ago
Infinito álgebra For -2x-9y=-25 and -4x-9y=-23
Levart [38]
-2x -9y = -25
-(-4x -9y =-23)
2x = -2
x = -1

-2(-1) -9y = -25
2 - 9y = -25
-9y = -25 -2
-9y = -27
y = 3
(-1,3)
7 0
3 years ago
The graph of F(x) can be stretched vertically and flipped over the x axis to produce the graph of G(x) if F(x)=x^2 which of the
ladessa [460]

Answer:

g(x) = -5x²

(option B)

Step-by-step explanation:

we know that our original graph, f(x) = x² is a parabola.

So, we can consider what happens when we adjust the function/equation of a parabola.

when we "vertically stretch" a parabola, we are increasing the value of x.

 think of it this way: the steepness of a slope is rise over run. If we rise ten, and run one, that's going be a lot more steep than if we rise 1, run 1.

Let's say our x = 5

if f(x)=x²

f(5) = 25

> y value / steepness is 25

f(x) = 3x²

f(5) = 75

 > y value / steepness is 75

So, we are looking for an equation with an increase in x present.

When a parabola has been flipped over the x-axis, we know that the original equation now includes a negative

suppose that x = 1

if y = x² ; y = 1² = 1

if y = -(x²) ; y = -(1²) ; y = -1

So, when we set x to be negative, we make our y-values end up as negative also (which makes the graph look as if it has been flipped upside-down)

This means that we are looking for a function with a negative x value.

So, we are looking for a negative x-value that is multiplied by a number >1

The graph that fits our requirements is g(x) = -5x²

hope this helps!!

6 0
1 year ago
PLEASE HELP!! this is due soon and i rlly need help
egoroff_w [7]

Answer:

Solution given:

r=3km

area of sector bounded by a 90° arc=90°/360°*πr²

=¼*π*3²

=<u>9/4 π or 7.068km²</u>

is a required answer

6 0
2 years ago
Read 2 more answers
Other questions:
  • In the inequality x&gt;9, x represents the number of restaurants along a street. Is 9 a possible value of x Explain
    6·1 answer
  • Simplify: (−2a2b) • (4a5b2)<br> please can someone help!
    13·1 answer
  • How to factor this equation
    6·1 answer
  • What is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4
    9·1 answer
  • X - y = 6<br><br>x = y + 2<br><br>Solve the system of equations by substitution.
    9·1 answer
  • A computer store buys a computer system at a cost of $357.60. The selling price was first at $596,
    11·1 answer
  • X2 - 2xy + y2 when x = 3 and y = 2​
    10·2 answers
  • HELP PLS: A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective.
    7·1 answer
  • Which measurement is equivalent to 1 pound?
    6·2 answers
  • PLS HELP IMMEDIATELY PLEASE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!