$MathMaster logo$

MathMaster

Home
general
let f be the function defined on r by f x 2x 5x 3 and c its representative curve in an orthonormal coordinate system 1 cal

Question

Let ƒ be the function defined on R by: f(x)=-2x+5x-3 and C its representative curve in an orthonormal coordinate system. 1. Calculate its derivative f'(x) by specifying the set of real numbers x for which the calculation is valid. 2. Study the sign of f(x) according to the values of x. 3. Deduce the direction of va variation of the function f. Draw up the table of variation of f. 4. Determine the local extrema of f. 5. Frame f(x) as best as possible on the interval [0:] 6. Determine the equation of the tangent to the curve C at the point of abscissa 1.

291

likes

1454 views

Answer to a math question Let ƒ be the function defined on R by: f(x)=-2x+5x-3 and C its representative curve in an orthonormal coordinate system. 1. Calculate its derivative f'(x) by specifying the set of real numbers x for which the calculation is valid. 2. Study the sign of f(x) according to the values of x. 3. Deduce the direction of va variation of the function f. Draw up the table of variation of f. 4. Determine the local extrema of f. 5. Frame f(x) as best as possible on the interval [0:] 6. Determine the equation of the tangent to the curve C at the point of abscissa 1.

$Expert avatar$

4.5

109 Answers

Hi, Write well f(x).

Frequently asked questions (FAQs)

Math question: Solve the cubic equation 2x^3 + 5x^2 - 4x + 6 = 0.

+

What is the number of ways to arrange 7 books on a shelf? (7P7)

+

What is the equation of an ellipse with a semi-major axis of 5 units, semi-minor axis of 3 units, and center at (-2,5)?

+

New questions in Mathematics

Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.

If L (-2, -5) reflected across y = -4. What are the coordinates of L?

3x+5y=11 2x-3y=1

What is the total tolerance for a dimension from 1.996" to 2.026*?

I need to know what 20% or £3292.75

The points (-5,-4) and (3,6) are the ends of the diameter of the circle calculate subequation

30y - y . y = 144

Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0

Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.

The following incoming payments show up at a tax inspection: 25 000€ on 19.01.2008, 140 000€ on 27.03.2008 and 19 000€ on a date that which is illegible, and 60 000€ on 15.06.2008. On which date did the payment of the 19 000€ appear, if on 30.06.2008 the money on the account (incl. interest at 4%) is 246 088.89€? Use simple interest and 30E/360 DCC. Solution: 45 days, 15.05.08

Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?

A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?

Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.

Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)