Write the equation 1/2= log49 7 in its equivalent exponential form.

Q: can you solve step by step please

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Q: Suppose A = 500(1.045)t . Compute dA/dt

A: Given function: A=5001.045t We have to find dAdt. Differentiate the given function w.r.t 't' dAdt=dd...

Q: Determine whether each function is a solution of the differential equation        y″ − y = 0. a. y =...

A: Given that : The differentiable equation is y '' - y = 0.  

Q: Evaluate the integral. (Use C for the constan (1 +e*)2 dr

A: Given: ∫1+ex2exdx

Q: Graph using intercepts: 4x - 3y - 6 = 0.

A: Given 4x - 3y - 6 = 0

Q: Use the Inverse Function Property to show that f(x) is the inverse of x - 2 g(x)

A: We have to prove that fx=1x-2 is the inverse of gx=1x+2 by using inverse function property. We know ...

Q: Improper integrals Evaluate the following integrals or state that they diverge.

A: Consider the provided improper integral, ∫-22 dp4-p2 Evaluate the following integrals. Apply the sub...

Q: Add or subtract terms whenever possible : 7√3 + 6√3

A: Given expression:' 7√3 + 6√3    

Q: Factor: x2 + 6x + 8.

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Q: Write the first five terms of the sequence. (Assume that n begins with 1.) an = 3n − 5

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Q: From a piece of cardboard that is 24 cm by 48 cm, cut equal squares out of the corners. Fold up the ...

A: Given that, the dimensions of the cardboard is, 24 cm by 48 cm. Suppose that, squares of side length...

Q: Use the rules of differentiation to find the derivative of the function              f(x) = x1/2 − x...

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Q: log,(81) |log,(3)

A: We need to solve the logarithm equation using the logarithm property: logaxn = nlogax  

Q: Convert the angle 15° to radians. Express your answer as a multiple of π.

A: Our Aim is to convert the angle 15° to radians and to express answer asa multiple of π.

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a...

A: Given: an=4-1n

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they ...

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and wher...

Q: Find the x and y intercepts of the equation: 7x + 5y = - 105 The intercepts are: x intercept = ,0) y...

A: Given equation is : 7x+5y=-105 Now re-arrange the given equation : 7x+5y=-1057x+5y-105=07-105x+5-105...

Q: Graph the ellipse x2/9 + y2/36 = 1 and locate the foci.

A: we have to graph the ellipse  x2/9 + y2/36 = 1 and locate the focii.

Q: In this problem, y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y' + 2x...

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Q: can you solve step by step please

A: Given: An integral ∫t lnt+5dt Start by integrating by parts using the ILATE rule: ∫t lnt+5dt=lnt+5∫t...

Q: Determine whether the equation x + y3 = 27 defines y as a function of x.

A: Consider the given equation as x+y3=27

Q: A person's BMI is I = W / H2, where W is body weight (in kilograms) and H is body height (in meters)...

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Q: fo g.

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Q: Solve and check: (x - 3)/5 - (x - 4)/2 = 5.

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Q: Calculate the derivative of y=tanx using the quotient rule.

A: Given that, y=tanxy=sinxcosx        Using tanx=sinxcosx

Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so th...

Q: Find the general solution of the given Ordinary Differential Eqauations system: *attached as photo*

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Q: How can i solve this exercise?

A: Given: An equation of a line in the parametric form is, r→t=<2,-7,7>+t<-5,-6,6> The lin...

Q: A job pays a salary of $24,000 the first year. During the next 19 years, the salary increases by 5% ...

A: Given The salary in the first year for the job is $24,000. Then, there is an increase of 5% every ye...

Q: Graph the standard cubic function, f(x) = x3. Then use transformations of this graph to graph the gi...

A: The given cubic function is; y=f(x)=x3

Q: Dougtown had a population of 4000 in 2010 and a population of 4400 in 2015. Find a formula for the p...

A: Given data is :  Number of years since 2010  Population in 2010 is P0=4000 when t=0 Population in 20...

Q: A system of two equations in two variables whose graphs are a circle and a line can have four real o...

A: There are three graphs drawn below:

Q: y" + y' + y = 0

A: Solution: Consider the given differential equation  y'' + y' + y = 0 Put D = y' and so D^2  = y'' Th...

Q: 1. Determine each of the following. For angles like these, you should be able to evaluate trigonomet...

A: Part (a) sin2π3

Q: Evaluate the definite integral. Use a graphing utility to verify your result

A: Given: ∫191x1+x2dx