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3 years ago

At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8

Mathematics

1 answer:

Rama09 [41]3 years ago

3 0

Answer:

a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

Step-by-step explanation:

You have the following equation

(1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

(3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

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2 years ago

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See attached picture for the missing image required to answer the question.

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Step-by-step explanation:

Total number of tiles(possible outcomes) = 7

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Number of Blue tiles(required outcomes) = 4

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2 years ago

A bus can hold 108 passegers. If there are 12 rows of seats on the bus, how many seats are in each row?

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2 years ago

Read 2 more answers

The age distribution of students at a community college is given below. Age (years) Number of students (f) Under 21 2890 21-24 2

Soloha48 [4]

Answer:

Are the events A and B disjoint? Yes

Step-by-step explanation:

Disjoint events are those events that cannot occur at the same time, i.e. for events X and Y to be disjoint, $P(X\cap Y)=0$ .

The event A is defined as the number of students whose age is at most 32.

And event B is defined as the number of students whose age is at least 37.

The events A and B are disjoint events.

The sample space for event A consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).

Whereas the sample space for event B consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).

The sample space for the intersection of these two events is:

Sample space of (A ∩ B) = 0

As there are no common terms in both the sample.

Hence proved, events A  and B are disjoint.

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3 years ago

42 of the 150 employees at Carlo's Car Repair wear contact lenses. What percent of the employees wear contact lenses?

antiseptic1488 [7]

$\frac{42}{150}$ ÷ 2 = $\frac{21}{75}$

$\frac{21}{75}$ ÷ 3 = $\frac{7}{25}$

$\frac{42}{150}$ = $\frac{7}{25}$

Then, divide 7 by 25 because 25 is the divisor

7 ÷ 25 = 0.28

28% is the answer (:

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2 years ago

At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8￼￼

At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8