This response is based upon your having had some background in calculus. "dx" is not introduced before that.
Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.
Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is
b-a
dx = ---------- , and that dx becomes smaller and smaller as the number of
n subintervals increases.
Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.
Answer: 256 units squared
Step-by-step explanation:
So basically you times 4*4*2*8.
Answer:
14x-35
Step-by-step explanation:
Use distributive property so,
you multiply 2x and -5 by 7
2x*7=14x
-5*7=-35
Answer: Function, not a function, Function, not a function
Step-by-step explanation:
For it to be a function, each value of x has to map onto one value of y.
- This is a function.
- Not a function since x=-1 has more than one y value.
- This is a function
- Not a function since x=-6 has more than one y value.
Answer:
-4<x<2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)