Answer:
The correct option is D) 
.
Step-by-step explanation:
Consider the provided cubic function.
We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.
A "zero" of a given function is an input value that produces an output of 0.
Substitute the value of zeros in the provided options to check.
Substitute x=-2 in 
.
Therefore, the option is incorrect.
Substitute x=-2 in 
.
Therefore, the option is incorrect.
Substitute x=-2 in 
.
Therefore, the option is incorrect.
Substitute x=-2 in .
Now check for other roots as well.
Substitute x=√2 in .
Substitute x=-√2 in .
Therefore, the option is correct.
Answer:
Simplify —————
b - a
1.1 Rewrite (b-a) as (-1) • (a-b)
Canceling Out :
1.2 Cancel out (a-b) which now appears on both sides of the fraction line.
Final result :
-1
Step-by-step explanation:
The area of a trapezoid is calculated using the formula: 1/2(a + b)h. The diagram shows that base number one (a) is 8.5 dm and base number two (b) is 26.5 dm. The height is 9 dm. Substitute these values into the formula.
1/2(8.5 + 26.5) * 9, add 8.5 and 26.5 inside the parentheses.
1/2(35) * 9, you can now solve from left to right. Multiply 1/2 and 35.
17.5 * 9, multiply to get your final answer. The area of the trapezoid is C. 157.5 dm^2.
Answer:
the answer is A: supplementary
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
