It can be shown that the following equality holds: exp(-z)dz = Vñ . %3D Use this formula to calculate a²exp(-a²)da exp(-2*)dz Note that exp() here is the exponential function. That is, exp(a) returns ea (e raise to the power a O VT 2

Q: Find an exponential function for the following graph.Express your answer in the form y = Abx.

A: Definition used -              Exponential function -  It is given by y= Abx…

Q: Evaluate log( 3 + J4) 5eJ/3 = A + jB, determine the real component A (A) 0.902 B) 1.033 3.667 2.897…

A:

Q: 5. Rewrite as a single logarithm: logs (r) + log, (1) - 3 log, (z - 2))

A: We can solve the problem by applying properties of logarithm.

Q: = (5+ cx*)** y=(5+6x*) (tan(7x)° 312 hint log.differentiat use %3D

A: logab=bloga ddxtan2ax=a sec2 ax

Q: Find the asymptote of the given exponential function y = 32 + 43x+2 32 4 3. 2

A:

Q: Solve for x: log, 4 + log, (x + 4) = 3 %3D

A:

Q: Solve. log, x = 3 - log,(x - 2)

A: We know that, from the property of logarithm logam+logan=logamn           ⋯⋯1logab=c⇒ac=b        ⋯⋯2

Q: 3* +9 y = log 5 %3D

A: Given: y=log53x+92 For finding inverse of given expression, we first find x in terms of y then…

Q: Sketch the shifted exponential functions. y=6x -2 and y=6-x -2

A: Sketch the shifted exponential functions of given  1. y=6x -2 2. y=6-x -2

Q: Fill in the table of values for each function, then plot your points to graph each curve together on…

A:

Q: lim log, (cosx) -3 t 2.

A: Here we can see that applying the limit, the limit does not enter into an indeterminate form, so we…

Q: b- find x for following 1. logx = v2

A:

Q: log (8m²n³) is

A: to find log (8m²n³)

Q: I.Evaluate the following logarithmic expressions: log; 652 1. log,() 32 2. II. Rewrite the following…

A:

Q: Simplify the expressions

A: Given that: The expression is log2 e( ln 2) ( sin x) .

Q: Find x when log,x = 1

A: Given : log2x = 1

Q: Q6. Rewrite the following expressions in terms of exponentials. Write the final result as simply as…

A: