morganvogt99 morganvogt99

03-09-2017
Mathematics

contestada

f(t)=10t2+5t+1 . Find the value of t for which the tangent line to the graph of f(t) has slope 1.

Respuesta :

jdoe0001 jdoe0001

03-09-2017

[tex]\bf f(t)=10t^2+5t+1\implies \stackrel{\textit{slope of tangent}}{\cfrac{df}{dt}}=20t+5\implies 1=20t+5 \\\\\\ -4=20t\implies -\cfrac{4}{20}=t\implies -\cfrac{1}{5}=t[/tex]

Answer Link

Otras preguntas

A farm raises a total of 220 chickens and pigs. The number of legs of the stock in the farm totals 520. How many chickens and pigs are at the farm? a. Defi

if m is 7 times n minus 3 and y is the square of m, then write y as a function of n

3) Write an explicit formula for the sequence: 45, 41, 37, 33

Which of the following pairs consists of equivalent fractions? 5/6 and 6/5 3/9 and 5/15 12/20 and 20/25 6/12 and 3/4

How is NASA helping to monitor the impact on Chesapeake Bay?

what is the next number of 1 2 6 17 47 ?and how?!

1/5 of the mangoes in a bag is green ,0.75 are ripe and the remaining 12 mangoes are rotten . How many mangoes are there in the bag altogetherer? don't send in

Please help!!! In the Newsela article "Opinion: It’s Important for Kids to See Diverse TV, Movie Characters," what is the author's viewpoint about why stereotyp

nick has to build a brick wall. Each row of the wall requires 6/2 bricks. There are 10 rows in the wall. How many bricks will nick require to build the wall?

One difference between animal call systems and human language is that call systems tend to refer to things in the immediate environment, while human language ca