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
shusha [124]
3 years ago
10

Evaulate the function at the indicated values h(t)=t+(3/t)i find h(x-1)

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

<span>h<span>(t)</span>=<span>t<span>34</span></span>−3<span>t<span>14</span></span></span>

Note that the domain of h is <span>[0,∞]</span>.

By differentiating,

<span>h'<span>(t)</span>=<span>34</span><span>t<span>−<span>14</span></span></span>−<span>34</span><span>t<span>−<span>34</span></span></span></span>

by factoring out <span>34</span>,

<span>=<span>34</span><span>(<span>1<span>t<span>14</span></span></span>−<span>1<span>t<span>34</span></span></span>)</span></span>

by finding the common denominator,

<span>=<span>34</span><span><span><span>t<span>12</span></span>−1</span><span>t<span>34</span></span></span>=0</span>

<span>⇒<span>t<span>12</span></span>=1⇒t=1</span>

Since <span>h'<span>(0)</span></span> is undefined, <span>t=0</span> is also a critical number.

Hence, the critical numbers are <span>t=0,1</span>.

I hope that this was helpful.

You might be interested in
Solve for the variable K.<br> m/k=x
Sladkaya [172]

Answer:

\frac{m}{k}  = x \\  \\ kx = m \\  \\ k =  \frac{m}{x}

I hope I helped you^_^

5 0
3 years ago
Read 2 more answers
How do I find the missing values to .. (4,y) and (0,5) m = 3 over 4​
Aleks04 [339]

Answer:

(4,3) (4,5)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.
Vika [28.1K]

Answer:

(a is size of side of triangle)

the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

5 0
2 years ago
eight-two students are in the math club .35 students are in the science club .How many more students are in the math club than s
arsen [322]
There are 47 more because we are find “less” so we subtract to find the answer. 82-35=47
3 0
3 years ago
Muscles, a membership-only gym is hoping to open a new branch in a small city in Pennsylvania that currently has no fitness cent
Cloud [144]

Answer:

  B) 504

Step-by-step explanation:

They should expect 30% of 40 out of every 300 of the 12,600, so ...

  0.30 × 40/300 × 12,600 = 504

About 504 residents might be expected to join.

7 0
3 years ago
Other questions:
  • Two million, four hundred and two dollars overdrawn; write this using a negative number.
    12·1 answer
  • You have also been asked to set up the basket ball court what is the circumference of the circle
    7·2 answers
  • Help need answered ASAP!
    9·2 answers
  • The ratio of girls to boys in the ninth grade is 5:4. if there are 144 boys in the ninth grade, how many girls are there?
    13·2 answers
  • Name the intersection of lines m and n.
    14·1 answer
  • Do NOT write incorrect answers or plagiarize or I will REPORT!
    13·2 answers
  • PLEASE HELP ASAP! BRAINLIEST! Find the missing variables of the triangles!
    10·1 answer
  • Find the equation of the circle that has a diameter with endpoints located at (-3,6) and (9,6).
    9·1 answer
  • Sup peeps<br> Can someone find the area of this plz
    13·1 answer
  • Jane gained 25 points in the first round of a game. In the second round she lost 40 points and
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!