CK-12-Calculus

6.3. Differentiation and Integration of Logarithmic and Exponential Functions http://www.ck12.org MEDIA Click image to the left ...

http://www.ck12.org Chapter 6. Transcendental Functions 6.4 Exponential Growth and Decay Learning Objectives A student will be a ...

6.4. Exponential Growth and Decay http://www.ck12.org So the solution to the equation(dy/dt) =kyhas the formy=Cekt.The box below ...

http://www.ck12.org Chapter 6. Transcendental Functions CancelingCfrom both sides, 1 2 =e kt. Solving fort,which is the half-lif ...

6.4. Exponential Growth and Decay http://www.ck12.org Example 2: A certain population of bacteria increases continuously at a ra ...

http://www.ck12.org Chapter 6. Transcendental Functions t=ln 2k = 0 ln 2. 409 t= 1 .7 hours. This tells us that after about 1.7 ...

6.4. Exponential Growth and Decay http://www.ck12.org A=Pert 30 , 000 = 10 , 000 e(^0.^139 )(t) 3 =e^0.^139 t ln 3= 0. 139 t t= ...

http://www.ck12.org Chapter 6. Transcendental Functions P= 1 + 44994500 e− 0. 8 x = 1 + 44994500 e− 0. 8 ( 7 ) = 1 + 44994500 ( ...

6.4. Exponential Growth and Decay http://www.ck12.org MEDIA Click image to the left for use the URL below. URL: http://www.ck12. ...

http://www.ck12.org Chapter 6. Transcendental Functions Polonium−210 is a radioactive isotope with half-life of 140 days. If a ...

6.5. Derivatives and Integrals Involving Inverse Trigonometric Functions http://www.ck12.org 6.5 Derivatives and Integrals Invol ...

http://www.ck12.org Chapter 6. Transcendental Functions The range is based on limiting the domain of the original function so th ...

6.5. Derivatives and Integrals Involving Inverse Trigonometric Functions http://www.ck12.org d dx [sin− (^1) u]= √ 1 1 −u^2 du d ...

http://www.ck12.org Chapter 6. Transcendental Functions The Integration Formulas of the Inverse Trigonometric Functions The deri ...

6.5. Derivatives and Integrals Involving Inverse Trigonometric Functions http://www.ck12.org To change the limits, x=ln 2→u=e−x= ...

http://www.ck12.org Chapter 6. Transcendental Functions ; Math Video Tutorials by James Sousa, Integration Involving Inverse Tri ...

6.6. L’Hospital’s Rule http://www.ck12.org 6.6 L’Hospital’s Rule Learning Objectives A student will be able to: Learn how to fi ...

http://www.ck12.org Chapter 6. Transcendental Functions limx→ 0 √ 2 +x−√ 2 x =limx→ 0 [d dx( √ 2 +x−√ 2 ) dxd(x) ] = [ 1 /( 2 √ ...

6.6. L’Hospital’s Rule http://www.ck12.org A broader application of L’Hospital’s rule is whenx=ais substituted into the derivati ...

http://www.ck12.org Chapter 7. Integration Techniques CHAPTER 7 Integration Techniques Chapter Outline 7.1 Integration by Substi ...