Calculus question and answers for February 27, 2024
- Q Compute the derivative of the natural log of kx Begin by letting u kx and substituting u into the equation d dx d In kx In u dx Compute the...
- Q a Find the inverse of the function below on the given interval and write it in the form y f x b Verify the relationships f f x x and...
- Q Evaluate the following integral Include absolute values only when needed dx x 7 9x 7 dx 9x 7 www
- Q Find an equation of the line tangent to the following curve at the point a f a f x 18e 2x a 0 y BA
- Q K Find the mass of the thin bar with the given density function 3x 4 p x 1 sinx for 0 sxs Set up the integral that gives the mass...
- Q a Find the inverse of the function below on the given interval and write it in the form y f x b Verify the relationships f f x x and...
- Q a Find the inverse of the function below on the given interval and write it in the form y f x b Verify the relationships f f x x and...
- Q Find the following derivative x 1 Inx d dx dx 6 x 1 Inx
- Q 3 d 1 Use x e to explain why In x for x 0 dx X First explain why x must be greater than zero What is the range of...
- Q d Show that Inkx d Compute the derivative of the natural log of kx Begin by letting u kx and substituting u into the equation In kx d d dx...
- Q Find the inverse of the function f x x 5 The inverse function of f x x 5 is f x 165465 2010 2018 ALDE LE BUR CONSER DEPRESS Il...
- Q K 1 Use x e to explain why Inx for x 0 X d dx First explain why x must be greater than zero What is the range of the...
- Q K Use the following table to determine the indicated derivatives or state that the derivative cannot be determined 6 0 1 5 3 4 3 6 8 x f x...
- Q K a Find the inverse of the function below on the given interval and write it in the form y f x b Verify the relationships f f x x...
- Q The data in the table below represents the percentage of patients who have survived after diagnosis of advanced stage breast cancer at 6 month intervals of time Time after Diagnosis...
- Q Find all local and global max min and any inflection points for the function g x 2 cos x sin 2x for t Interval 0 27
- Q A chemist has a 100 gram sample of a radioactive material He records the amount of radioactive material every week for 6 weeks and obtains the following data Complete parts...
- Q A radioactive material decays according to the function A t Age grams of the radioactive material a What is the decay rate of the radioactive material b Graph the function...
- Q The population of a southern city follows the exponential law Use this information to answer parts a and b Point a If N is the population of the city and...
- Q After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1982 the hay in that country was contaminated by a radioactive isotope...
- Q The size P of a certain insect population at time t in days obeys the function P t 700e0 04t a Determine the number of insects at t 0 days...
- Q 2 Give three examples of Ordinary Differential Equations of second order with constant coefficients one example for each case not solved in the lectures and solve these equations 25 points...
- Q The Hubble Space Telescope HST has excellent resolving power because there is no atmospheric distortion of the light Its 2 40 m diameter primary mirror can collect light from distant...
- Q The population of a colony of mosquitoes obeys the law of uninhibited growth Use this information to answer parts a through c a If N is the population of the...
- Q The size P of a certain insect population at time t in days obeys the function P t 700e0 04t a Determine the number of insects at t 0 days...
- Q A piece of charcoal is found to contain 39 of the element B that it originally had a When did the tree from which the charcoal came die Use 5500...
- Q After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1990 the hay that country was contaminated by a radioactive isotope half...
- Q The half life of radium is 1690 years If 30 grams are present now how much will be pres grams Do not round until the final answer Then round to...
- Q A radioactive material decays according to the function A t Ae 0 0244t where A is the initial amount present and A is the amount present at time t in...
- Q How long does it take for an investment to double in value if it is invested at 2 compounded quarterly Compounded continuously At 2 compounded quarterly the investment doubles in...
- Q If the rate of inflation averages r per annum over n years the amount A that SP will purchase after n years is A P 1 r where r is...
- Q Points 0 of 4 After 20 years Trish will have 34898 19 Round to the nearest cent as needed After 20 years Sean will have Round to the nearest cent...
- Q O Points 0 of 2 How many years will it take for an initial investment of 20 000 to grow to 70 000 Assume a rate of interest of 2...
- Q For each set of values calculate the missing variable using the ideal gas law n Set 1 Set 2 Set 3 Set 4 P 2 61 atm 302 kPa P3...
- Q Suppose f x 0 for all x andf x dx 18 Let R be the region in the first quadrant bounded by the coordinates axes y f x 2 and...
- Q Determine whether the following statements are true and give an explanation or counterexample a When using the shell method the axis of the cylindrical shells is parallel to the axis...
- Q Let R be the region bounded by y x x 1 and y 0 Use the shell method to find the volume of the solid generated when R is revolved...
- Q 1 8x2 1 2x x 1 d da
- Q Jerome will be buying a used car for 10 000 in 3 years How much money should he ask his parents for now so that if he invests it at...
- Q 1 2x 4 3x
- Q a 1 dz
- Q b 4 x dx 5
- Q Find the principal needed now to get the given amount that is find the present value To get 2000 after 2 years at 7 compounded daily 3 4 The present...
- Q For f x a fog 14 11 Y 5 X 4 A and g x b gof 9 find the following composite functions and state the domain of each X...
- Q Suppose that g x 6 2 a What is g 1 When x 1 what is the point on the graph of g b If g x 38 what is...
- Q 20 The equation 35n t 50 0 relates t the total cost in dollars of boarding a dog in a kennel with the number of nights n the dog is...
- Q Solve the following logarithmic equation log 3x 2 2 log 3x 15 Select the correct choice below and if necessary fill in the answer box to complete your choice A...
- Q Write the expression as a sum and or difference of logarithms Express powers as factors log2 4x ww log2 4x Type an exact answer in simplified form
- Q Suppose that In 3 a and In 11 b Use properties of logarithms to write the logarithm in terms of a and b In 33 In 33 33 ww
- Q K x f x f x Use the following table to determine the indicated derivatives or state that the derivative cannot be determined 6 0 1 5 2 a OA...
- Q Using synthetic division determine whether the numbers are zeros of the polynomial function 4 2 1 h x x 3x 2x 4x 8 Is 2 a zero of h x...
- Q Suppose that G x log2 2x 2 3 a What is the domain of G b What is G 7 What point is on the graph of G c If...
- Q Find four intervals on which f is one to one making each interval as large as possible Four intervals on which f is one to one are a 6 6...
- Q Question 1 100 points a S 1 x da b S c 1 1 d e x dx x 9 8x2 2x x 1 dx 3x 2 2x 4x 1dx...
- Q Substitute m 2 and b 3 into the equation
- Q Use the given graph of f x to find the intervals on which f x is increasing the intervals on which f x is decreasing and the local extrema Sketch...
- Q Score 0 4 14 0 14 answered Question 1 3 Which of the following are equivalent to log 4 1 log 64 1 2 log 24 log 6 log 16...
- Q The figure shows two right circular cones one upside down inside the other The two bases are parallel and the vertex of the smaller cone lies at the center of...
- Q K a Find the inverse of the function below on the given interval and write it in the form y f x x and f f x x b Verify...
- Q Complete the sentence below If the graph of a logarithmic function f x log ax a 0 a 1 is increasing then its base must be larger than www If...
- Q Complete the sentence below The domain of the logarithmic function f x log ax is The domain of the logarithmic function f x log ax is xx 1 or 1...
- Q K Find the inverse function on the given interval if specified and graph both f and f on the same set of axes Check by looking for the required symmetry...
- Q Question Solve the given equation for a 762 2 41
- Q Question 1 A vehicle purchased for 27 500 depreciates at a constant rate of 5 Determine the approximate value of the vehicle 13 years after purchase Round to the nearest...
- Q Question 2 Which of the following are equivalent to 5 log u 1 3 Assume u 0 1 VTS log D log u 3 1 log u5 log 5 15...
- Q Score 5 14 5 14 answered Question 8 Solve for x 48x 3 832 10 x
- Q K Find the inverse of the following function and write it in the form f x 3 f x 2 X 1 for x 0 The inverse function is f...
- Q Find the derivative of the inverse of the following function at the specified point on the graph of the inverse function You do not need to find f f x...
- Q Consider the following function Find the inverse function express it as a function of x and find the derivative of the inverse function f x f x x x 6...
- Q K Find all the inverses associated with the following function and state their domains 22x x 22 f x 22x The inverse s is are f x 22 Type an...
- Q 7 The number of students S infected by the flu at Gaither High School is given by the function 1600 where t is measured in days s t 1 99e...
- Q 5 The function g is given by g x ln 3x 1 ln x x 6 For which values of x is g x 0
- Q Sinay tas 7 Find the equation of the tangent line using the point ysin 8x x os 34
- Q A basebasll diamond is a square with side 90 ft A batter hits the ball and runs toward first base with a speed of 24 ft s 90 ft a...
- Q When air expands adiabatically without gaining or losing heat its pressure P and volume V are related by the equation PV 4 C where C is a constant Suppose that...
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