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
masha68 [24]
3 years ago
9

A UCF student has sampled a differentiable function f(t) at time t=1 and verified thatf(1)=3 & f′(1) = −2, but he needs to e

stimate the value of f(t) at t=1.2. Based on the information he has, what's the best linear approximation for f(1.2)?
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

The value of f(1.2)=y-f'(1.2)(x-1.2).

Step-by-step explanation:

According to the given problem the value of taken functions are,

f(1)=3 and f'(1)=-2

Then to estimate the value of f(t) at t=1.2, one can consider the equation of tangent line of the graph of f(x)  at a point x=a  is,

y=f(a)+f'(a)(x-a)\hfill (1)

wnere f(x) is differentiable at the point x=a.

From (1) we can get,

f(a)=y-f'(a)(x-a)

In the present problem a=1, and we know value of f(1) and f'(1).

Hence, at a=1.2 and after finding value of f'(1.2) one can easily find,

f(1.2)=y-f'(1.2)(x-1.2)

which will give the best approximation.

You might be interested in
Factor 24m-12p+7224m−12p+7224 - 12p + 72 to identify the equivalent expressions.
lord [1]

Answer:

C, A

Step-by-step explanation:

If you would like me to explain, I could but this would be difficult. Trust me.

7 0
3 years ago
Read 2 more answers
At Farmer Jones Market, bananas cost $.80 per pound. At Farmer Garcia's
e-lub [12.9K]

divide $4.50 by 5 .......

4 0
3 years ago
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
lesantik [10]
Multiply the first equation by -2 gives:_
-2y = -8 + 2x

2y = 8 - 2x

adding these 2 equations:-

0 = 0

This shows that the 2 equations are  equal so there are infinite solutions


4 0
3 years ago
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0
3 years ago
Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and
trasher [3.6K]

Answer:

XY is 4 units.              

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}

Putting the given values, we have,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}

Thus, the length of XY is 4 units.

8 0
3 years ago
Other questions:
  • Micheal cuts grass for $15.00 per lawn. He cuts 2 lawns each day for 6 days a week. How much will Micheal earn in 2 weeks?
    8·2 answers
  • Which equation models the problem below if c represents the number of babies whose eyes are closed? There are 12 babies in a pho
    12·1 answer
  • A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minu
    7·1 answer
  • Please help!! Which of the following is equal to the rational expression when x ≠ 2 or -4? 5(x-2)/(x-2)(x+4)
    5·1 answer
  • A box of chocolates costs $9. How much will 15 boxes of chocolate cost? A. $119 b. $120 c. $125 d. $135 e. $145
    6·1 answer
  • You earn $56 walking your neighbors dog for eight hours your friend Earns $36 painting your neighbors fence for four hours are t
    11·1 answer
  • Does this procedure describe a completely randomized design for this experiment?
    14·1 answer
  • Evaluate z^2−3z+4, when z = −4
    14·2 answers
  • Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origi
    8·1 answer
  • PLS HELP NO LINKS PLEASE I NEED ANSWER.What is the surface area of the following triangular prism? 126 yd 2 96 yd 2 162 yd 2 90
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!