with Local Linearity Practice Calculus be the particular solution to...
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4.6 Approximating with Local Linearity Calculus For each differential equation, let ൌ ሺሻ be the particular solution to the differential equation with the given initial condition. 1. ௗ௬ ௗ௫ ൌ ሺ5 െ ሻ sin and ቀ గ ଶ ቁൌ 2. a. Write an equation for the line tangent to the graph of at the point ቀ గ ଶ ,2ቁ. b. Use the tangent line to approximate ሺ1.5ሻ. 2. ௗ௬ ௗ௫ ൌ െ ସ௫ ௬ and ሺ1ሻൌ 3. a. Write an equation for the line tangent to the graph of at the point ሺ1,3ሻ. b. Use the tangent line to approximate ሺ1.1ሻ. Practice
Transcript of with Local Linearity Practice Calculus be the particular solution to...
4.6 Approximating with Local Linearity Calculus
For each differential equation, let 𝒚 𝒇 𝒙 be the particular solution to the differential equation with the given initial condition.
1. 5 𝑦 sin 𝑥 and 𝑓 2.
a. Write an equation for the line tangent to the
graph of 𝑓 at the point , 2 .
b. Use the tangent line to approximate 𝑓 1.5 .
2. and 𝑓 1 3.
a. Write an equation for the line tangent to the graph of 𝑓 at the point 1,3 .
b. Use the tangent line to approximate 𝑓 1.1 .
Practice