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Tangent Lines and Normal Lines
(a) Find an equation of the tangent line to the parabola
(b) Find an equation of the normal line to
(c) Find equations of the tangent line and normal line to
(d) Prove that for any point (a, b)
(0,0) on the parabola
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Chapter 2 Solutions
Calculus
- Find the equation of the tangent line to the graph of the given function at the given value of x. 6 f(x) = x(x² - 4x+5)*; x=2arrow_forwardFind the equation of the tangent line to the graph of the given function at the given value of x. f(x)=√√x+33; x=4arrow_forwardFind g[f(-7)]. f(x) = x² + 1; g(x)=-5x-1arrow_forward
- Find the x-values where the following do not have derivatives.arrow_forwardLet f(x)=7x²-2x and g(x) = 5x+3. Find f[g(k)].arrow_forwardExpress the integrand as a sum of partial fractions and evaluate the integral. 2 32s+ 32 (s²+1) (s-1)3 ds Express the integrand as a sum of partial fractions. (Simplify your answer.)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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