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

write a decimal that is 1/10 of .9

ate the domain and range for the function f(x) = –x^2 5.

solve the inequality. 8p 2 > 3p - 15

what two numbers multiply to get 30 also add up to get -4????

What is considered an important Roman contribution to American government? a)the idea of representative government in which people elect officials to speak for

in "sympathy," what does the caged bird symbolize? a. freedom b. health c. captivity d. sickness

check all that apply. if cot theta= 3/4 and the terminal point determined by theta is in quadrant 3, then: (a) tan theta= 4/3 (b) csc theta = -5/3 (c) sin th

which statement is true about liquids? a. liquid particles are locked in place and do not move. b. liquid particles stay close together and slide past one anoth

Draw went on a 40 mile bike ride. If his average speed was 7 1/2 mph/ how long did the trip take?

William Bradford, the second governor of the Plymouth Colony, said the following, “The good hand of God favored our beginnings,” Bradford mused, by “sweeping aw