4x d e 2. Find (Do not simplify your answer) de (2x –1) 3. Find f'(x) for f(x) = x' log, (x' +1). (Do not simpl

Q: Find the inverse for each of the following functions. f(r) = 5x + 15 f(x) = %3D g(x) = 4x3 1 | =…

A:

Q: Find f′(x).   ​f(x)= ln x/27+x

A:

Q: X² test for goodness of fit for Ho based on Po(x)

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: -4x f(x) = 4e¯4 ln(x).

A:

Q: 6. Evaluate using the Change of Base Theorem. Show your work in step one and the answer in step 2.…

A: Solution: The objective is to evaluate the given equation

Q: f(x) = 3 log(x) f(x) = 3 log(x) %3D 1 103 1 102 1 10 10 102 1.

A:

Q: ii) 2 log, (x)– log2 (3x – 4) = log, (x – 1) – 1

A: We make the coefficient 2, exponent inside the log.  And for 1 we replace it by log22 because…

Q: Differentiate the function, y = 4x² +5 + In (x + 1)

A: Differentiate the given function using the below formulas. ddxxn=nxn-1  ddxC=0        where C is a…

Q: 44. Find y' if x' = y*.

A: (44) To find y' if xy=yx   xy=yxTake log bith the sides we get-log(xy)=log(yx)Since log(ab)=bloga…

Q: 3 Differentiate if x* log,(2+vx) f(x)=|

A: Here the differentiation is in the following steps

Q: 4. For what value of a are the graphs of y Recall that loga a and y loga tangent to In zYou should…

A: Here y = ax and the other graph loga x are inverse of each other. First find their point of…

Q: #11

A:

Q: What is the inverse of the function y=3e-4x+¹? O 1-In(x-3) 4 о y= y = y = Oy - = 1-log 4 1-In 4 x|m…

A: given,  y=3e-4x+1

Q: 2) If x=0 and y=5 Check if the following statement is true. Explain and show your work. log, (5x –…

A: log of negative number does not exist

Q: find the cosine of the angle between the vectors. 3i + k, i + j + k

A: Let,u = 3i+kv = i+j+kFormula for finding the cosine of the angle between two vectors is given by -…

Q: 5. Find an equation of the tangent line to the graph of f(x) = In (2x + 1) – e* at the point where x…

A:

Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: Solve the equation (tan x + 1)(sin x - 1) = 0 on the interval [0, 2π).

A: (tan x + 1)(sin x - 1) = 0

Q: Evaluate / x-4 x+4 O x+ 0.log(x – 4) + C O None O x+4.log(x + 4) + C O x+ 8.log(x – 4) + C

A: Using indefinite integral,

Q: Mart the correct alternatives of the following: 1. If f(x)= a log |x + bx“ + x has its extremum…

A: Given function fx=alogx+bx2+x Function has extremum values at x=-1 and x=2 Differentiate fx with…

Q: 2) dy : %D

A:

Q: 5. (i) Evaluate logs 15 + logs 20 – logs 12 (show sufficient working). (ii) Given that y = 3 × 10²",…

A: Use properties of log:  log5ab=log5a+log5b

Q: 3. Population in a town is given by the exponential equation, P = 14000e05st in t years. a. Write…

A:

Q: 60. y = (x² + 1)" (24+7)(2z+1)7 8

A: Formula used log( x )y = ylogx log( xy ) = log( x ) + log( y ) log( xy ) = logx - logy

Q: Use the appropriate methods to integrate two of the following (state any numerical answers correct…

A:

Q: Given f(-6)= 18, f'(-6) = -16, g(-6) = -10, and g' (-6) = 14, find the value of h' (-6) based on the…

A:

Q: 8. Prove the following statements. (1) loga = 2 log, r (2) log VI = - log, r (3) log,4 r = log, Vr…

A: