Mth 124 exam 1 questions n answers
rated A+
The derivative f'(a) always exists is f(a) exists - correct answer ✔✔ False(|x|)
It is possible to have a unction f(x) such that lim
X->a f(x)=INF even though f(a)=4 - correct answer ✔✔ True
If f'(a)=0 for some a hen f(x) is a constant function - correct answer ✔✔ False
The avg rate of change of f(x) on the interval [a,a+h] gives an approx to the instantaneous rate
of change of f(x) at x=a - correct answer ✔✔ True
The instantaneous rate of change of f(x) at x=a is the slope of the secant line through the points
(a,f(a)) and (a+h,f(a+h)) - correct answer ✔✔ False
Given a demand function D(p) and a supply function S(p) we find the equilibrium price by
solving D(p)=S(p) for p - correct answer ✔✔ True
Exponential changes at - correct answer ✔✔ Constant percentage rate
Vertex - correct answer ✔✔ -b/2a, f(-b/2a)
Y int - correct answer ✔✔ Set x=0
X int - correct answer ✔✔ Set y=0(factor)
, Revenue formula - correct answer ✔✔ Pricexquantity
A>0 for parabola - correct answer ✔✔ Concave up
Profit formula - correct answer ✔✔ Revenue-costs
Cost formula - correct answer ✔✔ Variable costs+fixed costs
Exponential equation - correct answer ✔✔ Y=ab^x (a is y-int and b is two points duvided by
eachother on table)
Exponential decay - correct answer ✔✔ Y=ab^t 0<b<1
Compound interest formula - correct answer ✔✔ A(t)=P(1+r/m)^mt
Continuously compounded - correct answer ✔✔ A(t)=Pe^rt
Carbon decay - correct answer ✔✔ c(t)=A(.999879)^t
Logarithms - correct answer ✔✔ LogbX=y
B^y=x
What is the derivative of a linear function - correct answer ✔✔ Horizontal line/constant
What is the derivative of any constant function - correct answer ✔✔ Zero
rated A+
The derivative f'(a) always exists is f(a) exists - correct answer ✔✔ False(|x|)
It is possible to have a unction f(x) such that lim
X->a f(x)=INF even though f(a)=4 - correct answer ✔✔ True
If f'(a)=0 for some a hen f(x) is a constant function - correct answer ✔✔ False
The avg rate of change of f(x) on the interval [a,a+h] gives an approx to the instantaneous rate
of change of f(x) at x=a - correct answer ✔✔ True
The instantaneous rate of change of f(x) at x=a is the slope of the secant line through the points
(a,f(a)) and (a+h,f(a+h)) - correct answer ✔✔ False
Given a demand function D(p) and a supply function S(p) we find the equilibrium price by
solving D(p)=S(p) for p - correct answer ✔✔ True
Exponential changes at - correct answer ✔✔ Constant percentage rate
Vertex - correct answer ✔✔ -b/2a, f(-b/2a)
Y int - correct answer ✔✔ Set x=0
X int - correct answer ✔✔ Set y=0(factor)
, Revenue formula - correct answer ✔✔ Pricexquantity
A>0 for parabola - correct answer ✔✔ Concave up
Profit formula - correct answer ✔✔ Revenue-costs
Cost formula - correct answer ✔✔ Variable costs+fixed costs
Exponential equation - correct answer ✔✔ Y=ab^x (a is y-int and b is two points duvided by
eachother on table)
Exponential decay - correct answer ✔✔ Y=ab^t 0<b<1
Compound interest formula - correct answer ✔✔ A(t)=P(1+r/m)^mt
Continuously compounded - correct answer ✔✔ A(t)=Pe^rt
Carbon decay - correct answer ✔✔ c(t)=A(.999879)^t
Logarithms - correct answer ✔✔ LogbX=y
B^y=x
What is the derivative of a linear function - correct answer ✔✔ Horizontal line/constant
What is the derivative of any constant function - correct answer ✔✔ Zero
