a is true but f(x) is wrong need help

A Is True But F(x) Is Wrong Need Help

Answers

Answer 1

Answer:

f(x)=-18x^2

Step-by-step explanation:

Given:

1+Integral(f(t)/t^6, t=a..x)=6x^-3

Let's get rid of integral by differentiating both sides.

Using fundamental of calculus and power rule(integration):

0+f(x)/x^6=-18x^-4

Additive Identity property applied:

f(x)/x^6=-18x^-4

Multiply both sides by x^6:

f(x)=-18x^-4×x^6

Power rule (exponents) applied"

f(x)=-18x^2

Check:

1+Integral(-18t^2/t^6, t=a..x)=6x^-3

1+Integral(-18t^-4, t=a..x)=6x^-3

1+(-18t^-3/-3, t=a..x)=6x^-3

1+(6t^-3, t=a..x)=6x^-3

That looks great since those powers are the same on both side after integration.

Plug in limits:

1+(6x^-3-6a^-3)=6x^-3

We need 1-6a^-3=0 so that the equation holds true for all x.

Subtract 1 on both sides:

-6a^-3=-1

Divide both sides by-6:

a^-3=1/6

Raise both sides to -1/3 power:

a=(1/6)^(-1/3)

Negative exponent just refers to reciprocal of our base:

a=6^(1/3)


Related Questions

correct?````````````````````````````

Answers

Yeah you’re already correct

-2 (y - 3) = y + 24 HELPPP PLEASEE ITS DUEEE IN 5MINN

Answers

Answer:

y = -6

Step-by-step explanation:

-2(y - 3) = y + 24

-2y + 6 = y +24

-18 = 3y

-6 = y

24-(8÷2)+6 I need help, please somebody answer

Answers

Answer:

26

Step-by-step explanation:

STEP

1

:

4

Simplify —

1

Equation at the end of step

1

:

(24 - 4) + 6

STEP

2

:

Final result :

26

ANSWER: 26

EXPLANATION:

To solve this we need to use order of operations, also known as pemdas

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

You do that in order.

So first solve what in the parentheses,

8 divided by 2 is 4

So now we have

24 - 4 + 6

I know addition is written first in PEMDAS but you’re supposed do go left to right when that’s all you have left.

So

24 - 4 = 20

And

20 + 6 = 26

Hope this helps. If you have questions I’m here to answer

Solve the equation for​ z, where z is restricted to the given interval.

[tex]y=7sinz[/tex], for z in [tex][-\frac{\pi }{2}, \frac{\pi }{2} ][/tex]

Answers

[tex]y = 7sin(z)\implies 0 = 7sin(z)\implies 0=sin(z)\implies sin^{-1}(0)=sin^{-1}[sin(z)] \\\\\\ sin^{-1}(0)=z\implies 0=z[/tex]

can anyone help me please? i have 14 more minutes to finish this can anyone help?

Answers

Answer:

B

Step-by-step explanation:

A is 3-2 which is 1, not 5.

C is 3(2), which is 6, not 5.

D is 6, which is not 5.

-hope it helps

Answer:

B

Step-by-step explanation:

Which graph best represents the equation x2 + (y – 1)2 = 3?

Answers

Answer:

Step-by-step explanation:

assuming the equation is x^2 + (y - 1)^2 = 3

You can walk 1/34 miles in 1/2 hour. What is your average speed?

Answers

1 3/4 x 2 = 3 1/2 mph i believe

Wiebe Trucking. Inc. is planning a new warehouse to serve the west. Denver, Santa Fe, and Salt Lake City are under consideration. For each location, annual fixed costs (rent, equipment. and Insurance) and average variable costs per shipment (labor, transportation and utilities) are listed in the following table. Sales projection is range from 550,000 to 600,000 shipments per year.
a. Plot the total cost curves for all the locations on a single graph.
b. Which city provides the lowest overall costs?

Answers

The total cost curve shows the cost of total shipment from the different

cities.

a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.

b. The city that provides the lowest overall cost is; Salt Lake City.

Reasons:

The given parameters are;

The number of shipment per = From 550,000 to 600,000 per year

The given table is presented as follows;

[tex]\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right][/tex]

a. Required:

The plot total cost curve for the locations on a single graph.

Solution:

Please find attached the graph of the total cost curves created with MS Excel

b. Required:

The city that provides the lowest overall cost.

Solution:

The two cities with the lowest overall costs are Denver and Salt Lake City.

From the total cost curve, the area under the curves are;

Area under the curve for Denver;

(7557500 + 7790000) ÷ 2 × 50,000 = 383687500000

Area under the curve for Salt Lake City

(7487500 + 7850000) ÷ 2 × 50,000 = 383437500000

Therefore;

Salt Lake City provides the lowest overall costs.

Learn more about total cost curves here:

https://brainly.com/question/4888738

For shipping the retailer charges a $4.95 flat fee or 5.75% of the total purchase, whichever is greater. If Lucia's total purchase is $78.99, how much shipping will she pay? PLEASE ANSWER ASAP

Answers

ANSWER: $4.95

EXPLANATION:

So it’s asking us to find out if $4.95 dollars is more than 5.75% of 78.99.

So we need to find 5,75% of 78.99

To find percentage turn the percent into a decimal.

5.75% become 0.575

Now we have 0.575 x 78.99

That is 45.41925

Move the decimal over again and you get 4.541925

Round to the nearest hundredth to get

$4.54

$4.54 < $4.95

So the answer is &4.95

What is the product of using scientific notation to solve the problem of 20.5 * 10 to the 7th power and 0.000036

Answers

Answer:

  7.38×10^3

Step-by-step explanation:

The usual rules of exponents apply.

  (20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3

_____

Additional comment

You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.

Help, please

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.

−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3:negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five

Answers

Answer:

The first step.

Step-by-step explanation:

When buddy ran away after his dad yelled at him dad and step brother searched 10% of New York for him what is this number as a fraction written in simplest form

Answers

Answer:

1/10

Step-by-step explanation:

they searched 1/10of New york

10%=10/100

=10%=1/10

Answer : 1/10

Step - by - step explanation :

10% = 10/100 ( because percentages are always out of 100 )

10/100 divided by 10/10 = 1/10

Lisa's living room is 21 feet wide. If the length is 4 feet less than twice the width, what is the area of her living room?

square feet

Answers

Answer:

21+21=42

42-4=38

21x38=798sq ft

Step-by-step explanation:

42-4=38 so your answer is 38

Owen and Arianna are helping their friend Benjamin move. Owen can move one box for every two boxes that Arianna can move. If Owen moves twelve boxes, how many boxes can Arianna move?

Answers

Answer:

Ariana can move 24 boxes. Hope this helps.

Pls give brainliest. :D

A boat is heading towards a lighthouse, whose beacon-light is 134 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
16°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.

Answers

this may help you very much

if susan subtracts 14 from one third of her number she gets 2

Answers

Answer:

Step-by-step explanation:

2 + 14 = 16 x 3 = 48

what is the answer i need done by midnight -15x+60<105

Answers

Answer:

[tex]x > -3[/tex]

Step-by-step explanation:

Isolate the variable. Treat the < sign like an equal sign, in that what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 60 from both sides of the equation:

-15x + 60 (-60) < 105 (-60)

-15x < 45

Next, divide -15 from both sides of the equation. Note that when you multiply or divide a negative number, you must flip the sign:

(-15x)/-15 < (45)/-15

x < 45/(-15)

x > -3

[tex]x > -3[/tex] is your answer.

~

What is with simplifying
-3p + 6p

Answers

Answer:

-3p+6p=3p

Step-by-step explanation:

It's just like saying -3+6,

but just with the p.

-3+6=3

therefore the answer is 3p

LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )

Answers

A = (0,0)
B = (-15,10)

Find the length x…..

Answers

Answer:

x = 4

Step-by-step explanation:

6 : 4.5 = 4 : 3

x : 3 = 4: 3

x= 4

Answer this please please

Answers

Answer:

x is less than -3

Step-by-step explanation:

3x^2+9x<0

x^2+3x<0

x(x+3)<0

x+3<0

x<-3

help me my due is In 10 minutes. I don’t know ​

Answers

Step-by-step explanation:

You take the first amount ex: 80 then times 0.2 (20%->0.2) and ad the result to 80

Alexa spins a spinner that is divided into 6 equally sections: 2 red, 1 green, and 3 blue. What is the probability that Alexa spins a red or green?

Answers

Answer:

probability = 1/2 or 50%

Step-by-step explanation:

number of red + number of green = 2 + 1 = 3

Probability of landing on a red or green = 3/6 = 1/2

Red

Step-by-step explanation:Red

2) through: (-4, 5) and (-5,0
what is the slope intercept form of the line

Answers

Answer:

hello

Step-by-step explanation:

say hell-o

Need help with a math problem If doing 5 stars and a good rating

Answers

Answer:

16:1

Step-by-step explanation:

Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.

Help help help math math

Answers

Answer:

y=-1/2x-3

Step-by-step explanation:

Let's pick two points for slope.

[tex]\frac{-1+3}{-4-0}[/tex]

[tex]\frac{2}{-4}[/tex]

For the y-inctercept, the line intersect at the y-axis at (0,-3)

CHECK:

[tex]y=-\frac{1}{2} (-4)-3[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Mrs.Lavander and Mr.Lavander just got marriade.They want to build a mansion but....it cause 1563$ and food...569$ there money is 3641$.How much will they spend?​

Answers

Answer:

$2132

Step-by-step explanation:

They will spend : 1563+569= 2132 (dollars)

By the way did you copy the right question ? Because i see unnecessary information in this question. Anyway, try to check it again !

PLEASE HELP!!!
List 5 fractions that are equal to 3/4!

Answers

6/8, 9/12, 12/16, 15/20, and 18/24

Answer:

9/12

6/8

30/40

27/36

15/20

Step-by-step explanation:

How does (x^3)^3 = x^6 ?

Answers

Answer:

It does not, unless [tex]x=0[/tex] or [tex]x=1[/tex]

If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of [tex](x^3)^3=(x^3)(x^3)(x^3)=x^9[/tex]

At this point you're being asked if [tex]x^9=x^6[/tex] and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also [tex]-1[/tex] was a possible candidate, but alas 9 is odd).

please help me im giving brainliest

Answers

Step-by-step explanation:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Answer:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Step-by-step explanation:

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