Question

Consider the following expression: 3sinh(x) - 2cosh(x)

[a] Write the expression in terms of exponential functions, then completely simplify it.

Note: Your final answer can't use any hyperbolic functions

[b] Using the answer from [a], solve the equation 3sinh(x) - 2cosh(x) = 3

Note: Your work leading to the final answer cannot use any inverse hyperbolic functions

Answer #1

1) Completely simplify
2) Write the expression cot( in terms of x and y only
3) If csc x = 2 and x is in Q I, determine the exact values of
sin x and cos x.
4) Use a sum to product formula to rewrite sin 2x – sin 5x as
the product of two trig functions.
Step by Step please
5) Use a product to sum formula to rewrite sin(2x) * sin(5x) as
a sum of two trig...

Use the given conditions to write an equation for the line in
point-slope form and general form. Passing through (1,-3) and
perpendicular to the line whose equation is x-6y-5=0. The equation
of the line in point-slope form is _ .(Type an equation. Use
integers or fractions for any numbers in the equation.)
The equation of the line in general form is ___ = 0 (Type an
expression using x and y as the variables. Simplify your answer.
Use integers or...

1. Consider the functions ?(?) = √? + 1 , ?(?) = 2? 4−? , and
?(?) = ? 2 − 5
(a) Find ?(0), ?(0), ?(0)
(b) (??)(?)
(c) (? ∘ ?)(?)
(d) Find the domain of (? ∘ ?)(?)
(e) Find and simplify ?(?+ℎ)−?(?) ℎ .
(f) Determine if ? is an even function, odd function or neither.
Show your work to justify your answer.
2. Sketch the piecewise function. ?(?) = { |? + 2|, ??? ?...

Use the method for solving Bernoulli equations to solve the
following differential equation.
(dy/dx)+4y=( (e^(x))*(y^(-2)) )
Ignoring lost solutions, if any, the general solution y=
______(answer)__________
(Type an expression using x as the variable)
THIS PROBLEM IS A DIFFERENTIAL EQUATIONS PROBLEM. Only people
proficient in differential equations should attempt to solve.
Please write clearly and legibly. I must be able to CLEARLY read
your solution and final answer. CIRCLE YOUR FINAL ANSWER.

1.Use the properties of fractions to simplify the expression
5280 feet/1130 feet per second, Leave as a simplified
fraction.
2.Solve the equation, x+ x/x+3=24/x-3 Be sure to identify any
extraneous solutions

Consider a random variable X following the exponential
distribution X ~ f(x), where f(x) = ae^( -ax) for x > 0 and 0
otherwise, a > 0. Derive its moment-generating function MX(t)
and specify its domain (where it is defined or for what t does the
integral exist). Use it to compute the first four non-central
moments of X and then derive the general formula for the nth
non-central moment for any positive integer n. Also, write down the
expression...

Consider the following exponential probability density
function.
f(x) = (1)/(5)e−x/5 for x ≥ 0
(a) Write the formula for P(x ≤ x0).
(b) Find P(x ≤ 3). (Round your answer to four decimal
places.)
(c) Find P(x ≥ 5). (Round your answer to four decimal
places.)
(d) Find P(x ≤ 7). (Round your answer to four decimal
places.)
(e) Find P(3 ≤ x ≤ 7). (Round your answer to four decimal
places.)

. Consider the continuous time signal, x(t) = e jω0t . Write an
expression for the even and odd portions of this function, and show
that the even and odd parts sum up to the original x(t). Do you
recognize the even and odd functions? What are they called?

Important Instructions: (1) λ is typed as lambda. (2) Use
hyperbolic trig functions cosh(x) and sinh(x) instead of ex and
e−x. (3) Write the functions alphabetically, so that if the
solutions involve cos and sin, your answer would be
Acos(x)+Bsin(x). (4) For polynomials use arbitrary constants in
alphabetical order starting with highest power of x, for example,
Ax2+Bx. (5) Write differential equations with leading term
positive, so X′′−2X=0 rather than −X′′+2X=0. (6) Finally you need
to simplify arbitrary constants. For...

8.3.59 Q 18
Write an equation of the line containing the given point and
perpendicular to the given line. Express your answer in the form y
= mx + b
(4,8); 6 x + y = 8
The equation of the line is y = ______.
(Simplify your answer. Use integers or fractions for any
numbers in the expression.)

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