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

Tsar Nicholas II and Tsarina Alexandra were the Romanov rulers of Russia when the Bolshevik revolution took place in 1917. During this revolution, Tsar Nicholas
Which of the following was NOT a reason for the British to colonize North America?
Why were many citizens concerned about the lack of a bill of rights in the original Constitution? They were afraid that the new national government would abolis
a department store has 39 cartons of new shirts to unpack and display. Each carton contains 25 shirts. Each display rack holds 19 shirts.how many racks will t
Lilly estimated a quotient of 120 and found an actual quotient of 83. what should she do next?
Which statement describes a European belief that differed from Native American beliefs and became a source of conflict? A. Individuals can own land and use i
What structures in a eukaryotic cell would be visible when using a compound light microscope with a magnification of 1000X ?
Which examples describe how a plant might meet the challenge of getting and using energy? A. In a forest, trees grow tall and branches grow long to get enough
What is 90 percent of 80?
which city is the capital of the inca empire