An undefined term is a point, line, or plane. Examples of defined terms are angles. Undefined terms can be combined to define other terms. Defined terms can be combined with each other and with undefined terms to define more terms.

Question

asked 2021-05-12

When a < 0 and b>1,y=abx models negative exponential growth. a. Write an exponential function that models negative growth. b. Give an example of a situation that could be modeled by your function. c. Explain one difference between negative exponential growth and exponential decay.

asked 2021-06-12

Explain the difference between an absolute minimum and a local minimum.

a) There is no difference.

b) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value on the entire domain.

c) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the smallest function value on the entire domain of f.

d) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value on the entire domain of f, whereas f has a local minimum at c if \(f(c)\) is the largest function value when x is near c.

e) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the largest function value on the entire domain of f.

a) There is no difference.

b) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value on the entire domain.

c) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the smallest function value on the entire domain of f.

d) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value on the entire domain of f, whereas f has a local minimum at c if \(f(c)\) is the largest function value when x is near c.

e) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the largest function value on the entire domain of f.

asked 2021-05-08

\(\int_{0}^{3}\sin(x^{2})dx=\int_{0}^{5}\sin(x^{2})dx+\int_{5}^{3}\sin(x^{2})dx\)

asked 2021-02-25

We will now add support for register-memory ALU operations to the classic five-stage RISC pipeline. To offset this increase in complexity, all memory addressing will be restricted to register indirect (i.e., all addresses are simply a value held in a register; no offset or displacement may be added to the register value). For example, the register-memory instruction add x4, x5, (x1) means add the contents of register x5 to the contents of the memory location with address equal to the value in register x1 and put the sum in register x4. Register-register ALU operations are unchanged. The following items apply to the integer RISC pipeline:

a. List a rearranged order of the five traditional stages of the RISC pipeline that will support register-memory operations implemented exclusively by register indirect addressing.

b. Describe what new forwarding paths are needed for the rearranged pipeline by stating the source, destination, and information transferred on each needed new path.

c. For the reordered stages of the RISC pipeline, what new data hazards are created by this addressing mode? Give an instruction sequence illustrating each new hazard.

d. List all of the ways that the RISC pipeline with register-memory ALU operations can have a different instruction count for a given program than the original RISC pipeline. Give a pair of specific instruction sequences, one for the original pipeline and one for the rearranged pipeline, to illustrate each way.

Hint for (d): Give a pair of instruction sequences where the RISC pipeline has “more” instructions than the reg-mem architecture. Also give a pair of instruction sequences where the RISC pipeline has “fewer” instructions than the reg-mem architecture.

a. List a rearranged order of the five traditional stages of the RISC pipeline that will support register-memory operations implemented exclusively by register indirect addressing.

b. Describe what new forwarding paths are needed for the rearranged pipeline by stating the source, destination, and information transferred on each needed new path.

c. For the reordered stages of the RISC pipeline, what new data hazards are created by this addressing mode? Give an instruction sequence illustrating each new hazard.

d. List all of the ways that the RISC pipeline with register-memory ALU operations can have a different instruction count for a given program than the original RISC pipeline. Give a pair of specific instruction sequences, one for the original pipeline and one for the rearranged pipeline, to illustrate each way.

Hint for (d): Give a pair of instruction sequences where the RISC pipeline has “more” instructions than the reg-mem architecture. Also give a pair of instruction sequences where the RISC pipeline has “fewer” instructions than the reg-mem architecture.