Rewrite the expressions in Exercises 5–10 in terms of exponentials and simplify the results as much as you can. 5. 2 cosh (In x) 6. sinh (2 In x) 7. cosh 5x + sinh 5x 8. cosh 3x – sinh 3x

Q: Find the first six terms of the expansion of the function e^x log(1+ y)

A: We have to find the first six terms of the expansion of the function              exlog1 + y Here ,…

Q: Prove the following: Simplify the following by using exponential form: *+ Sinhox

A: I have typed a in place of alpha.

Q: .Expand log (1 + sin x) in powers of z as far as the term in r.

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Q: Express the indicated logarithm in terms of ?, ? and ? with the assumptions that log 2 = ?, log 3 =…

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Q: Show that |Log(2)| < | In |2|| + T.

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Q: How do I write the exponential function in the form f(t) = ab^t passing through points (-1, 2/5) and…

A: The solution of given problem is followed by

Q: Use the definition in terms of exponential functions to prove the following 2. sech(2x) 1-tanh?x %3D…

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Q: This Simplification of the expression below, where u, v, and w denote suitable positive realy…

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Q: Express th equation in exponential form.

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Q: Obtain all values of ln (−4)

A: ln(-4)

Q: Express th equation in exponential form.

A: a). Given, lnx+1=2 The exponential form is, x+1=e2         ∵lnx=y⇒x=ey⇒x=e2-1

Q: Give five examples of exponential functions in the form f(x) = b* and f(x) = a · b° + h with its…

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Q: write the exponontial equation of the average CO2 in PPM using years after the chosen year as an…

A: To find an exponential equation (y=aebx) - using the Least square method. Let

Q: Find the exponential function of the form f(x) =ab* that passes through (0,7)and (2,7) 2.

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Q: Find a formula for the exponential function passing through the points (-2, - -) and (1,20) 16

A: -2,516 and 1,20 Let the exponential function be yn=abxn. Substitute both the point in the assumed…

Q: How do I write the exponential function in the form f(t) = ab^t passing through points (1/2, 4/3)…

A: Given that: The exponential function f(t)=abt passes through 12, 43 and 3, 1283

Q: How do I write the exponential function in the form f(t) = ab^t for the points (-1, 3/2) and (3,…

A: To write the exponential function in the form f(t) = abt

Q: Find a formula for the exponential function passing through the points (-3,- -) and (2,32) 32 y =

A: The standard form of exponential function is given below: y=abx where, a≠0, b&gt;0 and b≠1.

Q: Rewrite the following radical in exponential form. = x to the power of Вe exact.

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Q: Let f(x,0) e*(1 – 0)"¯, then the exponential form for this pdf can be written as expin)-x innti - 6)…

A: The given statement is false. Therefore the second option is correct.

Q: Rewrite the expressions in Exercises 5–8  in terms of exponentials and simplify the results as much…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Give the formula that converts a function of the form bx to an exponential function with base e.

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Q: Find the formula for an exponential function of the form f(x) = A · Bº that passes through the…

A: We get exponential function by putting  both the point one by one and then by solving thes two…

Q: Determine whether the following statement is true or false, and explain why. (ln 3)4 = 4 ln 3

A: We know that, ln an=n ln a ; n is an integer

Q: Express th equation in exponential form.

A: Logarithm equation can be converted to exponential using the following properties of a logarithm.…

Q: Give five examples of exponential functions in the form f(x)=bx and f(x)= a*bP(x)+h with its domain…

A: we have to give five examples of exponential functions with its domain and range.

Q: Find the exponential functions of the form f(x) ab* that pass througl

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Q: 1 your answers to part a. and part b. to evaluate where a and b are positive integers. -dx in the…

A: Solve by using Substitution method.

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000…

A: Given:The initial number of mosquitoes is 1000. That is, P0 = 1000.The numbr of  mosquitoes is 1600…

Q: Find simpler expressions for the quantities eln πx-ln 2

A: Given,           elnπx-ln2

Q: Solve for A: AR+AT=E

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Q: . Find the exponential functions of the form f(x) = ab* that pass through 1) (-2, 32) and (1, –)

A: An exponential function is in the general form f(x) = abx We know the points (-2,32) and (1,1/2) ,…

Q: Find the formula for the exponential function f (x) whose graph passes through the points (0, 5) and…

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Q: 17. The product rule does apply when multiplying exponential functions with sinusoidal functions.

A: Yes the product rule applies when multiplying exponential functions with sinusoidal functions

Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: Find a formula for the exponential function passing through the points and (1,6) f(2) = Preview

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Q: Integrate and simplify:

A: to find the indefinite integrals of the given functions

Q: 10. Use the definition of a logarithm to find the exact solution for 4log(2n)–7=-11

A: Given, 4log2n-7=-11 To find the exact solution of above expression.

Q: Find a formula for the exponential function passing through the points (-2, -) and (1, 6). 3 y%3D

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Q: Find the formula for an exponential function of the form f(x) = A · Bª that passes through the…

A: Since y=A.Bx passes through two points we get two equation by putting these two points  By solving…

Q: Find the exponential function f(x)  =Cax  whosegraph is given.

A: Given exponential function whose graph is given. To find the exponential function fx=Cax. From the…

Q: Simplify sinnh(loge(4)). Express ecos(3+iloge(4)  in the Cartesian form.

A: The given problem is to evaluate and simplify the given complex expressions and express in the…

Q: Simplify e2 ln x. Express 5x using the base e

A: Given- e2lnx . To simplify- The above expression and express 5x using base e. Concept Used- elnx=x

Q: Prove 42 tan xdx =1-log 2 3

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Q: Let X-N(0,1); show that X member in exponential family.

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Q: (f) Use the exponential form to compute (1+ V3)2011

A: Given :-  The exponential form is z = 12eiπ4

Q: Use the properties of logarithms to write the expressions in Exercises 43 and 44 as a single term.…

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