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- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.05%3A_Exponential_and_Logarithmic_Functions/1.5.07%3A_Exponential_and_Logarithmic_EquationsTo find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of ch...To find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of change of A from the end of the thirty-fourth year to the end of the thirty-fifth year is A(35)−A(34)35−34≈1648.21 This means that the value of the investment is increasing at a rate of approximately $195.63 per year between the end of the fourth and fifth years,…
- https://math.libretexts.org/Courses/Queens_College/Preparing_for_Calculus_Bootcamp_(Gangaram)/05%3A_Day_5/5.06%3A_Exponential_and_Logarithmic_EquationsTo find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of ch...To find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of change of A from the end of the thirty-fourth year to the end of the thirty-fifth year is A(35)−A(34)35−34≈1648.21 This means that the value of the investment is increasing at a rate of approximately $195.63 per year between the end of the fourth and fifth years,…
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/07%3A_Trigonometric_Equations/7.04%3A_Solving_Trigonometric_Equations_Using_IdentitiesThis section focuses on solving trigonometric equations using identities. It discusses strategies for equations involving different trigonometric functions with the same arguments, solving equations w...This section focuses on solving trigonometric equations using identities. It discusses strategies for equations involving different trigonometric functions with the same arguments, solving equations with different angular frequencies, and combining trigonometric waves. Practical examples and exercises illustrate how to apply trigonometric identities to simplify and solve complex equations effectively.
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.16%3A_Solving_Rational_EquationsWe found the LCD of all the fractions in the equation and then multiplied both sides of the equation by the LCD to “clear” the fractions. \[\begin{aligned} 6 x^{2}+6 x-8 x+8&=5 x^{2}-2 x+9\\ x^{2}-1&=...We found the LCD of all the fractions in the equation and then multiplied both sides of the equation by the LCD to “clear” the fractions. 6x2+6x−8x+8=5x2−2x+9x2−1=0(x−1)(x+1)=0x=1 or x=−1
- https://math.libretexts.org/Courses/Highline_College/MATH_141%3A_Precalculus_I_(2nd_Edition)/04%3A_Exponential_and_Logarithmic_Functions/4.07%3A_Exponential_and_Logarithmic_EquationsTo find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of ch...To find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of change of A from the end of the thirty-fourth year to the end of the thirty-fifth year is A(35)−A(34)35−34≈1648.21 This means that the value of the investment is increasing at a rate of approximately $195.63 per year between the end of the fourth and fifth years,…
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_375%3A_Pre-Calculus/10%3A_Trigonometric_Equations/10.04%3A_Solving_Trigonometric_Equations_Using_IdentitiesThis section focuses on solving trigonometric equations using identities. It discusses strategies for equations involving different trigonometric functions with the same arguments, solving equations w...This section focuses on solving trigonometric equations using identities. It discusses strategies for equations involving different trigonometric functions with the same arguments, solving equations with different angular frequencies, and combining trigonometric waves. Practical examples and exercises illustrate how to apply trigonometric identities to simplify and solve complex equations effectively.
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.16%3A_Solving_Rational_EquationsWe found the LCD of all the fractions in the equation and then multiplied both sides of the equation by the LCD to “clear” the fractions. \[\begin{aligned} 6 x^{2}+6 x-8 x+8&=5 x^{2}-2 x+9\\ x^{2}-1&=...We found the LCD of all the fractions in the equation and then multiplied both sides of the equation by the LCD to “clear” the fractions. 6x2+6x−8x+8=5x2−2x+9x2−1=0(x−1)(x+1)=0x=1 or x=−1
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/05%3A_Exponential_and_Logarithmic_Functions/5.07%3A_Exponential_and_Logarithmic_EquationsTo find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of ch...To find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4)5−4≈195.63 Similarly, the average rate of change of A from the end of the thirty-fourth year to the end of the thirty-fifth year is A(35)−A(34)35−34≈1648.21 This means that the value of the investment is increasing at a rate of approximately $195.63 per year between the end of the fourth and fifth years,…