Differential equations Questions

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Differential equations

Question -23 – 22 + 4z +7 (22 + 3z +5) Determine the correct partial fraction decomposition for the expression above. Provide your answer below: ! FEEDBACK MORE INSTRUCTION SUBMIT Content attribution

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Differential equations

Question For the following expression, find the correct partial fraction decomposition. 11y2 – 68y +48 y(y – 4)(4y - 4) Enter your answer as the sum of fractions with a constant in each numerator and with a linear expression in each denominator. Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMIT Content attribution

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Part 6: Using our quadratic equation knowledge match the following scenarios. 1. Hitting a golf ball on the moon 2. Hitting a golf ball on Earth from the top of a tall building 3. Hitting a baseball on Jupiter 4. Hitting a baseball on Earth by a bionic man 5. Hitting a baseball on Earth by a 10 foot tall person A. h(x)=-16x² +500x +4 B. h(x) = -50x² +50x +4 C. h(x) = -8x? +100x D. h(x) = -16x² + 75x +8 E. h(x) = -16x² +150x + 300 -

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E Reading list + → C @mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=60741934 Apps M Gmail YouTube Maps Adrien Indirah | 11/19/21 4:29 PM MAC1105 COLL ALGEBRA BLENDED 683976 HW Score: 87.74%, 24.57 of 28 points Points: 0.5 of 1 Save Question 27, *5.6.1 Part 4 of 4 = Homework: Test 3 Review In 2012, the population of a city was 5.92 million. The exponential growth rate was 3.24% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018 c) When will the population of the city be 9 million? d) Find the doubling time. a) The exponential growth function is P(t) = 5.92 e 0.0324, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The population of the city in 2018 is 7.2 million. (Round to one decimal place as needed.) c) The population of the city will be 9 million in about 12.9 years after 2012 (Round to one decimal place as needed.) ♡ d) The doubling time is about years. (Simplify your answer. Round to one decimal place as needed.) Clear all Check answer Help me solve this View an example Get more help 75°F 4:30 PM 11/19/2021 Type here to search O i

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15. Plutonium-239 is the isotope that is most often used in nuclear reactors, and has a half- life of 24,100 years. At the time of the 1986 accident at Chernobyl, there were 10 pounds of plutonium-239 on site. a) Find an exponential model that gives the amount of plutonium 239 remaining after 1 years. b) How much plutonium remains after 100 years? c) How much plutonium remains after 1000 years?

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13. [0/0.4 Points) DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Find the second derivative of the function. (Simplify your answer completely.) g(x) = e9x inx 18 *+81Pin(x) g"(x) = * Your answer cannot be understood or graded. More Information (Express your answer as a single fraction. Factor the numerator, if possible.)

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Half-life formula A=P() ) 6) RADIOACTIVE DECAY: Ever heard of Plutonium? It's the stuff we use in our nuclear things -- weapons, submarines, etc. Plutonium-239 has a half-life of 24,110 years. a "Half-life means that, if you have 100 pounds of Plutonium-239... In 24,110 years, you'd still have 50 pounds left... In another 24,110 years, you'd still have 25 pounds left. This stuff just won't go away! This is why it is such a big concern when a nuclear submarine sinks... Eventually, the salt water will eat through the steel and release the Plutonium (which, as you know, is quite lethal.) They usually talk about either trying to raise the sub or encase it in concrete where it rests. The last figure I heard was that there are currently eight nuclear subs on our ocean floors. Now that I've completely depressed you... back to the math! a) What percent of Plutonium 239 would be left after 1,000 years? (start with 100%) b) What percent would be left after 10,000 years?

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21 Does the function y(t) = 6e satisfy the following initial value problem? y'(1) - 2y(t) = 0, y(0) = 6 Choose the correct answer below. o Yes, because when y and y' are substituted into the equation, the result is a true statement No, because when y and y' are substituted into the equation, the result is not a true statement. No, because the initial condition does not satisfy the original function, so the original function cannot satisfy the initial value problem, Yes, because the initial condition satisfies the original function, so the original function must satisfy the initial value problem, O O O O

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Differential equations

Use Euler's Method to make a table of values for the approximate solution of the differential equation with the specified initial value. Use n steps of size h. (Round your answers to six decimal places.) y' = 6x - 3y, y(0) = 5, n = 10, h = 0.05 n Xn Yn 0 0 ✓ 5 1 0.05 4.25 2 0.10 3.6275 ✓ 3 0.15 ✓ 3.113375 4 0.20 2.69136 X 5 0.25 2.34766 X 6 0.30 2.0705 X 7 0.35 1.8499 X 8 0.40 1.67744 X 9 0.45 1.545829 10 0.50 1.448954 Need Help? Read It Watch It

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Differential equations

Use Euler's Method to make a table of values for the approximate solution of the differential equation with the specified initial value. Use n steps of size h. (Round your answers to six decimal places.) y' = 6x - 3y, y(O) = 5, n = 10, h = 0.05 n Xn Yn o 0 5 ✓ 1 0.05 2. 2 0.10 ✓ 3 0.15 ✓ 4 0.20 5 0.25 6 0.30 7 0.35 8 0.40 9 0.45 10 0.50 ✓ Need Help? Read It Watch It

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TOMTOMTOgenCuUS DES LLUSEL 5. X Practice similar < Previou Your answer is incorrect. (1 point) Find the solution of the initial value problem y(x) (here y is a function of x) y(4) – 12y" + 364" = –256e-23, y(0) = 11, Y0 = 18, y'(0) = 32, "(0) = 8. = y(x) = 11 6 + 12+( ) +5)* ller 11exy e-27 + e 3 6 3 O Answers Attempt 2 of 2 <> Show solution sy 10,602 584 CO 5 co W Gtv A

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< webwork / math34a-01-f21-garfield / 34a-f21-hw16 / 2 34A-F21-HW16: Problem 2 Previous Problem Problem List Next Problem (1 point) Cooper Section 8.2 #8 The population (in millions) of a certain country t years after 2000 is given by the function p(t). There were 420 million in 2000. If p(t) = 3 throughout the time span 2000 to 2010, what was the population of the country in 2007? Hint: What is the practical signifigance of p' (t) = 3? The population in 2007 was million people Online Math Lab resources for this problem: • Rate of Change • Word Problems Preview My Answers Submit Answers You have attempted this problem 1 time, Your overall recorded score is 0%.