65. a. 5logs7 b. 8logV7 c. 1.3log13 75 d. log, 16 e. log; V3 log4 66. а. 2ов,3 b. 10los(1/2) c. log,7 d. log11 121 e. log121 11 f. logs 67. a. 2logt b. довья c. log2(eln 2)(sin x) c. log,(2" sin x) Aln: 68. a. 25logs (3r) b. log,(e") -/4

Q: The population, P, of the city of Hazelton has grown according to the mathematical model P =…

A:

Q: In order to solve for the standard enthalpy change, AH°,you must: Step One Add the same expression…

A: Multiply with suitable term such the only required variable remains in right side.

Q: 3. Find syz for ys = In(x + yz) – xcoth-1 log ().

A: Given : Let us consider the given value as,  ys=ln(x+yz)-xcoth-1logzy

Q: Express In(1+r²) +In r- In sin r as a singel logarithm.

A: Use property of log :→n ln(m) = ln(mn)→ln(m) + ln(n) = ln(mn)→ln(m) - ln(n) = lnmn

Q: Suppose that in any given year the number of cases of a disease is reduced by 20%. If there are…

A: To Determine: Suppose that in any given year the number of cases of a disease is reduced by 20%. If…

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: Let the temperature of metal ball at time t be:  y(t) Surrounding temperature is:  A = 25°C…

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

Q: Show that for 2 degrees of freedom, the probability P of a value 1 of greater than yo is ex and…

A:

Q: Find if z = log2 y – 6 log5 y. dy dz dz In- dy y In 10 dy y ln 10 Option 1 Option 4 64 dz In- 64 dz…

A: We know, ddxlogax = 1x·ln a a·ln b = ln ba ln a - ln b = ln ab

Q: ses / ECONT003 | SZ 19/2 Solve the following equation 2 log,(2x): = log4(x² + 75). A. x = 7 B. x=15…

A: The given logarithmic equation is as below.

Q: 1-In (-) + In(2x) = In3 2- 4 log 2 - log3 + log16 = x 3-Expand In [x? sin x /Vx2 +1]

A: To find the value of x

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: follow the procedure given below.

Q: (5) log yz (6) log (7) log (ry) (8) log rvz

A: We will find the value of these problem using logarithm formula.  We know  , log(A/B) = log(A)  -…

Q: A certain cancer among men aged 70 and over occurs at a rate of 1 in 150. A blood test will be…

A: Given that P(cancer present)=1/150 P(cancer not present)=149/150 P(positive| present)=99%=0.99…

Q: Express as a single logarithm. 5logbt-logb S + logb V - 4 logbu 1) logb 1/2 215 15 v1/2 ) 2) logb…

A:

Q: Find the Solution set of The followmg equations 2Lo937-310g3 9=7 and LogI3 x-21093 y= 4 and Logs…

A: The given equations are: 2log3x-3log3y=7            (1)log3x-2log3y=4              (2)

Q: Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are ne units 3.1…

A: Given: μ=population mean=3.1x=data point=6 We know that the critical value of z for 99% confidence…

Q: 1. The solution to the cquation 53x = correct order on the right of the question. 4x+1 is given…

A: Re arranging steps in correct order,..

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

A:

Q: 16 of 25 Condense to a single logarithm. 3 log 8 (m) – 2log 8 (4n) – 3log 8 (5k) 5 log (4n)² (5k)³…

A:

Q: 5. Compute Jo Jitvx 1 dx -2

A:

Q: 7. If log,w= and log; x+logs y=1 , then what is the value of 13 w3D 7 log, +log, 36x y ?

A:

Q: What happens in Newton’s Method if your initial guess happens to be a zero of f ?

A:

Q: zu +16n + 20.

A: Given: An expression n2+16n+20 To find All possible remainder when it is divided by 11.As per our…

Q: 2. Evaluate sin2x logtanx dx

A: Use the property of the definite integral and simply solve it.

Q: Find the positive root of [x e* = 2 ] by the method of false position (show only 5 iterations).

A:

Q: Match each function with its domain. Answers may be used more than once, and some answers may not be…

A: Given. The functions  fx = e8-4x y = 8-4x gx = x+18x-4 y = log38-4x We have to find the domain of…

Q: Use a linear approximation (or differentials) to estimate the given number. 99.8

A: To find √99.8

Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. (a) her shadow on the…

A:

Q: Find all vawes of k don uhich log kx 112 log (x+) has one soluhion

A: Just use basics of logarithm.

Q: Find the general solution of the ODE.

A:

Q: A sample of 600g of radioactive lead-210 decays to polonium-210 according to the function AT) =…

A: Topic:- exponential decaying function

Q: To ensure that the balls bounce consistently, tennis balls in Wimbledon are stored at exactly 68°F.…

A:

Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: Find y double prime by implicit differentiation8x^2+y^2=4

A: We have given

Q: in The solution of the equation Log(z² – 1) = 7 is %3D Select one: 1 in 1 157 - - 24e 4 and 24e 4 1…

A:

Q: Differentiate y = (9x- 11) log3 (1læ – 9). %3D A. y' = 9(11x-9)+11(9z-11) In(9r-11) (9x-11) In(3)…

A:

Q: Find the price of the 8% coupon bond that matures 16 months from now if zero rates for the next 2…

A:

Q: Solve for x:   logx=0.328 logex= 1.627  log2 x=6 In x= 0.444 x=antilog 3 -antilog 2  if base…

A: We will do algebraic manipulations along with applying the properties of log & antilog And in…

Q: A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the…

A:

Q: 2 log(x+y) = 3log3 +logx + logy

A:

Q: A positive integer is written on a blackboard. At each step, we are replacing the number on the…

A:

Q: Differentiate y = 3e +7 ln(2x) + log, x- 4" O y' = 15e5 ++ 1 - 4* In 4 %3D - I In 2 O y' = 15e5-1 1…

A: We have to differentiate  y = 3e5x + 7 ln(2x) + log2x - 4x.

Q: 2. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

A:

Q: 7. Find the first 2 iterations for the root of f(x) = x- cosx by the Secant method on [0,1.

A:

Q: 16 of 25 Condense to a single logarithm. 3 log 8 (m) – 2log 8(4n) – 3log 8 (5k) Vm log (4n)² (5k)³ 3…

A:

Q: 4. Show that sinh-1 x = log(x + vx² + 1).

A: We have to prove the result.

Q: 2 log, 64|,B = |** 6 [x +3 = 4 В 10 -4] 4 [m LetA = 4 21 3. 2 -7 5 4 and D =, *,. Find X, if AB" +…

A: To find the value of X.

Q: 1. Find for the following functions : dx 2x (ans.: 3x' log,( 3 – 2x)-’ (3–2x )In 2 45) y=x' log,(3–…

A: