-2xx
a3
lim f(x)=
x→a
xp
p = − x2 and p = x2 + x +
xp<=p<=15)
Epp
p
t
A(t) = -0.00006t5 + 0.00468t4 – 0.1138t3 + 1.552t2 – 17.63t + 94
A'(10) =
A”(10) =
g(x) = −x2 + x +
5.b
f(x) = root(3)(x)
f(x) = x3 – 8x2 – 20x
a) How do you find x and y intercepts? Find intercepts.
x-intercept
y-intercept
b) How can the first derivative help you to graph a function? Find the first derivatives and the critical numbers and intervals of increasing or decreasing of the given function.
Critical values:
Increasing on :
Decreasing on:
c) What is the value of the slope at a local maximum or minimum point on a curve? Find ordered pair for the maximum and minimum of f(x)
Maximum point=
Minimum point=
d) How can second derivative help you to graph a function? Find the second derivative. Show intervals where function concaves Upward and Downward
Downward on :
Upward on:
How do you find vertical and horizontal asymptotes?
f(x) = x2+lnx. What is f'(5)?
Please help. I’m very confused.
Given function isf (x) = x2 + ln x.Thenf 0 (x) When x = 5f 0 (5) = [2 × 5] + d(f (x))dxd 2=(x + ln x)dxdd 2(x ) +(ln x)=dxdx1= 2×2−1 +x1= 2x + .x= 1150 + 151= 10 + =…
f(x)=x2e2x, I have to find the first derivative.
I am using the product rule and found
f'(x)=2e2xx2+2e2x
I took the derivative of the second times the first plus the derivative of the 1st times the second.
I don’t think it can be simplified more
THIS MUST BE WEIRDEST QUESTION EVER ASKED. I HAVE THE PROBLEMS AND SOLUTIONS ATTACHED BUT I STILL NEED THE SOLUTIONS EXPLIANED TO ME IN MORE DETAIL, MORE CLEAR WITH THE LOGIC BEHIND THEM. INTERNATIONAL FINANCIAL MANAGEMENT GSBA 523 INVESTMENTS GSBA 521
f(x) = 1/x+2
Concave up?
Concave down?
Any help would be appreciated!
12x1f x 2x2f x 3xf x 0f x Concave up: 0, Concave down: , 0 No inflection points 1x21f x 2 x 2 If f x f x 2 x 2Concave up: 2, Concave down: , 2 3 No inflection points
How do I solve this question I tried however I keep getting it wrong
f(x ) =^0 2 – 42{ – atbDC – 2a* = _ boc + 3Find the values of a and b if Fisif XCL 2if x 7 , 3if 2 < >< < 3Lilohimcontinuous .
f the MPG (mileage per gallon) for a mid-size car is assumed to be normally distributed with a mean of 22 and a standard deviation of 3 MPG. What proportion of mid-size cars would have less than 25 MPG (select the closest)?
f the General Fund of a certain city needs $6,720,000 of revenue from property taxes to finance estimated expenditures of the next fiscal year and historical experience indicates that 4 percent of the gross levy will not be collected, what should be the amount of the gross levy for property taxes?Show all computations.
Facebook is considering two proposals to overhaul its network infrastructure. They have received two bids. The first bid will require a £15 million upfront investment and will generate £2.5 million in savings for Facebook at the end of first year and its savings will grow at 3% per year for every in perpetuity. The second bid requires a £10 million upfront investment and will generate £3 million in savings each year starting at the end of first year in perpetuity. Assume that the cost of capital for this investment is 8%. What are the NPV and IRR for Facebook associated with each bid. Which bid is a better deal for Facebook?
My solution:
a) for the first bid, NPV= – £15m + £ 2.5m/ (8%-3%)=£ 35m
IRR: NPV= 0 = – £15m + £2.5m/(IRR-3%)
IRR= 19.67%
for the second bid NPV= – £10m + £3m/8%= £27.5m
IRR: NPV= 0 = – £10m + £3m/ IRR
IRR= 30%
b) For independent projects, both of bids with positive NPV and IRR are ok. For mutually exclusive projects, the first bid with higher NPV which is £35m, thus, the first bid is a better deal for Facebook. IRR are not suitable for compare with mutually exclusive projects.
This is my solution, but I don’t know the answer is right or not. So please help me to check, thank u!
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