Solve the logarithmic equation log2(x + 3) + log2(x - 3) = 4

Q: Define f(x) = (x2 - 81)/(x - 9) at x = 9 so that the function becomes continuous at 9.

A: Define fx=x2-81x-9 at x=9 so that the function becomes continuous at 9.

Q: 73–78 - Families of Polynomials Graph the family of polyno- mials in the same viewing rectangle, usi...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Find ∫ √(3 − 5x) /2x   dx.

A: Consider the given integral, ∫3-5x2xdx substitute 3-5x=u ⇒ dx=-23-5x5 ∫3-5x2xdx=2∫u2u2-3du now, simp...

Q: Determine whether the function

A: Solution: Consider the given function is  f(x) = x8-e14x    x<014x-1       x≥0 To check whether t...

Q: B1(b): Solve the initial value problem : f' (x) = x12 – 4x4 + 12x + 13 and f(0) = 2.

A: The given differential equation is f'x=x12-4x4+12x+13 and the initial condition is f0=2. Solve the d...

Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the g...

A: Given function is ft=3t4. We know that, f'x=limh→0fx+h-fxh Therefore, using above definition of deri...

Q: Make an educated guess to find a formula for at least one solution Yp of the nonhomogeneous or highe...

A: The given differential equation is y'+y=e-t. From the above differential equation, it is easy to gue...

Q: Given a double integral : SS ( + 2) dudy Choose the correct double integral when the order of the in...

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Q: Q1(a) Solve the following system by Gauss elimination: x +y +z =1 x +2y 4 2x +2y +z =-1 (b) Find the...

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Q: Find the stationary points and stationary values of the function f (x)=2x'+x² - 20x +5.

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Q: Σ The interval of convergence of the power series : (x – 5) is O 2<#< 8 O 2< x < 8 O 2<*< 8 O 2<x < ...

A: the given power series is ∑n=0∞-13x-5n calculate L where  L= limn→∞an+1an= limn→∞-13x-5n+1-13x-5n= l...

Q: The derivative of y=sin^{5}x is

A: Differentiate using the chain rule dy/dx= dy/du * du/dx  

Q: Differentiate implicitly to find the first partial derivatives of w                          cos xy ...

A: Given equation is cosxy+sinyz+wz=20.

Q: 1. Only one of the following graphs could be the graph of a polynomial function. Which one? Why are ...

A: Given: Two graphs of functions I and II  

Q: When gas expands in a cylinder with radius r, the pressure at any given time is a function of the vo...

A: Consider a cylinder of radius r. The force exerted by the gas on the piston is as follows. F=Area×Pr...

Q: use logarithmic differentiation to find thederivative of y with respect to the appropriate variable

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Q: '(a): Using the definition of derivative, find the derivative of f(x) = x² + 1.

A: The given equation is: fx = x2 + 1 The derivative of this equation is found as follows:

Q: verify mean value theorem for the function f(x)=4x3 over ihe interval [0,2 ]?

A: verify mean value theorem for the function f(x)=4x3 over ihe interval [0,2 ]

Q: please answer quickly

A: Given: I=∫x(x−5)(x−7)2dx

Q: Solve it fast plz

A: The given expression is limx→3x3-27x-3.

Q: Spheres and balls Use set notation to describe the following sets. The points inside the sphere of r...

A: Use set notation to describe the following sets. The points inside the sphere of radius 10 centered ...

Q: Quiq plz

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Q: Quiq plz

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Q: Quiq plz

A: The given power series is 1+2x+6+3x+62+4x+63+⋯⋯. Rewrite the above series as follows. S=1+2x+6+3x+62...

Q: Quiq plz

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Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (-6x3 + 5x2 - ...

A: To simplify the polynomial. -6x3+5x2-8x+9+17x3+2x2-4x-13. Simplifying the polynomial. -6x3+5x2-8x+9+...

Q: Express the given function h(x) = (3x - 1)4 as a composition of two functions f and g so that h(x) =...

A: Given function,  h(x) = (3x - 1)4 To express the function h(x) as a composition of two functions f a...