Question

please show all work and circle answer if you cant do all the parts please don't answer question

part 1)

Let g(x,y)=cos(8x+5y). Evaluate g(1,−2). Answer: g(1,−2)=

part 2)

Suppose f(x,y)=xy^2−8. Compute the following values: f(4,3) = f(3,4) = f(0,0) = f(−1,3) = f(t,2t) = f(uv,u−v) =

part 3)

Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of drug given, x, and the time since injection, t. For 0≤x≤6 mg and t≥0 hours, we have C=f(x,t)=24te^(−(6−x)t) f(2,4)=

part 4)

A car rental company charges a one-time application fee of 30 dollars, 45 dollars per day, and 10 cents per mile for its cars. (a) Write a formula for the cost C, in dollars, of renting a car as a function of the number of days d and the number of miles driven, m. C= (b) If C=f(d,m) then f(5,700)=

Answer #1

please don't do this unless you can do all parts, circle answer
and show work please
part 1)
Assume x and y are functions of t. Evaluate
dy/dt given that
y^2−8x^3=225 dx/dt=5, x=−3, y=3
Answer: dy/dt=
part 2)
Assume x and y are functions of t. Evaluate dy/dt given that
5xy+ sqrt(2x+y)=48 dx/dt=-4; x=3 ,y=3.
Answer: dy/dt=
part 3)
Suppose that for a company manufacturing calculators, the cost,
and revenue equations are given by
C=70000+40x, R=400−x^2/30,,
where the production output in...

please only answer if you can do all parts, show work and circle
answer
part 1)
Use implicit differentiation to find the first derivative of y
with respect to x.
ln(4y)=5xy
dy/dx=
part 2)
Find dy/dx by implicit differentiation.
3+8x=sin(xy^2)
Answer: dy/dx=
part 3)
Find dy/dx by implicit differentiation.
e^((x^2)y)=x+y
dy/dx=
part 4)
Find dy/dx by implicit differentiation.
sqrt(x+y)= 9+x^2y^2
dy/dx=
part 5)
Find dy/dx by implicit differentiation.
e^y=8x^2+7y^2
dy/dx=

please don't answer unless you can do all parts, circle answer
and show work please
part 1)
A 13 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 9 feet above the ground? The
foot will be moving at ft/s.
part 2)
Oil spilled from a ruptured tanker spreads in a circle whose
area...

find the derivative of each of the following show all work and
circle answer please
part 1) f(x)= x+2/x^2+2
part 2) f(x)=2tan(x)+sin(3x)-10
part 3) f(x)=x^2 . cos(x^3-2)
part 4) f(x)=ln((x^7 sqrt(x^3+1)/(3x^2+8)^5))

F(x, y) = yi + xj
(a) Show F is conservative
Given your answer in (a) show that the following integrals
have the same value.
(b) The line segment y = x from (0,0) to (1,1).
(c) The parabola y=x^2 from (0,0) to (1,1).
(d) The cubic y=x^3 from (0,0) to (1,1).
(e) The b, c and d are examples of what property resulting
from part a?

Please show all steps, thank you:
Problem C: Does there exist an analytic function f(z) in some
domain D with the real part u(x,y)=x^2+y^2?
Problem D: Is the function f(z)=(x-iy)^2 analytic in any domain
in C? Are the real part u(x,y) and the imaginary pary v(x,y)
harmonic in C? Are u and v harmonic conjugates of each other in any
domain?

Calculus III. Please show all work and mark the
answer(s)!
1) Use Lagrange multipliers to find the maximum and minimum
values of the function f(x, y) = x^2 + y^2 subject to the
constraint xy = 1.
2) Use Lagrange Multipliers to find the point on the curve 2x +
3y = 6 that is closest to the origin. Hint: let f(x, y) be the
distance squared from the origin to the point (x, y), then find the
minimum of...

Consider the following initial value problem.
y′ + 5y =
{
0
t ≤ 2
10
2 ≤ t < 7
0
7 ≤ t < ∞
y(0) = 5
(a)
Find the Laplace transform of the right hand side of the above
differential equation.
(b)
Let y(t) denote the solution to the above
differential equation, and let Y((s) denote the
Laplace transform of y(t). Find
Y(s).
(c)
By taking the inverse Laplace transform of your answer to (b),
the...

Answer each of the questions below. (a) Find an equation for the
tangent line to the graph of y = (2x + 1)(2x 2 − x − 1) at the
point where x = 1. (b) Suppose that f(x) is a function with f(130)
= 46 and f 0 (130) = 1. Estimate f(125.5). (c) Use linear
approximation to approximate √3 8.1 as follows. Let f(x) = √3 x.
The equation of the tangent line to f(x) at x =...

PLEASE ANSWER ALL PARTS AND SHOW THE WORK
CLEARLY.
2. A solution containing 2.00 g of an unknown substance in 50.0
g of cyclohexane freezes at 1.05°C. The normal freezing point of
cyclohexane is 6.60°C and Kf = 20.4 °C/m. Both substances are
molecular.
a. What is the value of i? __________
b. Calculate the molality of the solution using
∆T = Kf • m • i. Show all work.
c. The units of molality are moles/kg. Moles of
what...

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