Answer:
see explanation
Step-by-step explanation:
to find the intercepts, that is where the line crosses the x and y axes
• let x = 0, in the equation for the y-intercept
• let y = 0, in the equation for x-intercept
x = 0
⇒ - 5 = 4y ( divide both sides by 4 )
y = -
← y- intercept
y = 0
7x - 5 = - 6x ( add 6x to both sides )
13x - 5 = 0 ( add 5 to both sides )
13x = 5 ( divide both sides by 13 )
x =
← x- intercept
Answer:
-7/13
Step-by-step explanation:
To find the reciprocal of a number, either divide the number by 1 or switch the numerator and denominator
Answer:
-43
Step-by-step explanation:
first we need to do 9x witch would be 9x3 so 9x3 is 27 now its down to -16 - 27 and that is -43
Answer:
A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. The most common symbol for the input is x, and the most common symbol for the output is y; the function itself is commonly written .
Step-by-step explanation:
Answer:
V(x,y,z) ≈ 61.2 in
Step-by-step explanation:
for the function f
f(X)=x³
then the volume will be
V(x,y,z)= f(X+h) - f(X) , where h= 0.2 (thickness)
doing a Taylor series approximation to f(x+h) from f(x)
f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!
that can be approximated through the first term and second
f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2
since x=L=10 in (cube)
f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)
then
f(X+h) - f(X) ≈ 3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in
then
V(x,y,z) ≈ 61.2 in
V real = (10.2 in)³-(10 in)³ = 61 in