What M value should I use? (how do i find it)
I was asked to calculate the area between two functions, y=e^x and y=x using midpoint riemann sums from 0-2 with n=4. so i found my answer by subtracting the second sum from the first.
The second...
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10/23/16
find dz/dt of z^2=x^2+y^2 with z>0
dx/dt=2,dx/dt=2, and dy/dt=6,dy/dt=6, find dz/dtdz/dt when x=6x=6 and y=8.
z^2=x^2+y^2
z=(x^2+y^2)^(1/2)
dz/dt= ..I'm stuck at this point
how do I differentiate it with the square root?
10/23/16
implicitly differentiate y=e^(-mx)
I don't get how to do this and I'm not sure how to use the ln
y' =
An open box with its base having a length twice its width is to be constructed with 600 square cm of material. Find its dimensions that maximize the volume.
so I am asked to maximize l*w*h = 2w^2*h
l*w +2w*h+2lh=600
I solved for h in terms of w
2w*w+2wh+2*2wh=600
2wh+4wh=600-2w^2
h(6w)=600-2w^2
h=(600-2w^2)/(6w)
I plugged it into l*w*h and...
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10/10/16
Find the side lengths x and y of the largest area where L is a given length for the diagonal. At the critical point, y=? x=? A=?
It says to eliminate one variable so I eliminated x.
A=xy
L2=x2+y2
x=(L2-y2)1/2
A=y*(L2-y2)1/2
=(L2y2-y4)1/2
Derivative =1/2(L2y2-y4)-1/2 *L22y-4y3
I don't know where to go...
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10/09/16
Find the dimensions of a rectangle with area 1225 m^2 whose perimeter is as small as possible.
What is the perimeter of the rectangle?
I don't know how to solve this question using optimization methods.
How I solved it: sqrt1225 to find the smallest dimensions of l*w =35
35m*4...
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10/07/16
How fast is the distance from the particle to the origin changing at this instant?
the particle is moving along the curve y=sqrtx. As the particle passes through the point(4,2) its x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...
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10/05/16
Why does ClO3- only have 2 double bonds instead of 3?
I drew a Lewis Structure of ClO3- with 3 double bonds instead of 2 and 1 single bond but I'm wondering if it is a valid structure. Is there a maximum amount of double bonds that Cl can make?
01/16/16
Let f(x)= x^1/2. Find f'(9) using the definition f'(a)=limex->a f(x)-f(a)/x-a
I am stuck can you please help?
So far I have limx->9√x-√9
x -9
=x(x^-1/2)-(3/x)
...
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01/16/16
Using chain rule and product/quotient rule, find derivative of sin(3x^2)/x when x=(squareroot of pi)
sin(3x^2)x^-1
this is how far I got. when do I sub in √pi ?
what do I do next?
01/16/16
Suppose limh->0 (f(h)-f(0))/h =+infinity and f(0)=0. What kind of feature can best explain this?
a)such scenario is not possible
b)f(x) has a vertical tangent at x=0
c)f(x) must be discontinuous at x=0
d)f(x) has a vertical assymptote at x=0, and f(0) is defined to be 0.
I tried a) and...
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01/16/16
The expression f(a+h)-f(a)/h is called the
a)instantaneous rate of change of f at a
b) difference quotient of f at a
c)definition of f'(a)
d)secant line of f at a
I tried a) and c) but they're wrong.
What is it supposed to be?
Determine lim x->(infinity) 2^x +sin(x)
How do I solve this? The sine is really confusing me
01/09/16
Let f(x)=x^3 +x+1. Let L be the tangent line to f(x) at point P=(2,11), and let M be the line passing through P and perpendicular to L. Find equation of M.
How do I solve this?
Do I have to find the slope of x^3+x+1 at (2,11) first? How do I do this
Let f(x)=3x^2-2x+1. At what point (x) is the tangent to f(x) horizontal?
How do I solve this?
01/09/16
Determine Lim x->0 sin(3x^2)/x
How do I solve this? I never learned how to solve limits with trig functions
The balanced equation for the reaction between sodium oxide and water is
A. Na2O + H2O → 2NaOH B. Na2O + H2O → 2NaH + O2 C. Na2O + H2O → 2Na + H2O2 D. Na2O + H2O → 2Na + H2 +O2
How do I know which reaction will occur?
Which of the following changes might cause a ppt. of SrCrO4 to form?
A few drops of 6 M HNO3 are added to 10 mL. of 0.1 M K2Cr2O7. When a few drops of 0.1 M Sr(NO3)2 are added to this solution, no ppt. of SrCrO4 is formed.
1) Add 6 M NaOH to reduce H+.2) Add 6 M...
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Which of the following occurs when a few drops of HNO3 are now added to this system?
2 H+(aq) + 2 CrO4 -2(aq)(yellow) ->Cr2O7 -2(aq) + H2 O (orange)
If a few drops of Pb(NO3 )2 solution are added to the equilibrium below, a yellow precipitate of PbCrO4(s) forms.
1) A ppt....
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08/03/15
An indicator HInd produces a yellow colour in 0.1 M HCl solution and a red colour in 0.1 M HCN solution. Therefore, the following equilibrium:
HCN + Ind- ? HInd + CN- A. Products are favored and the stronger acid is HInd B. Products are favored and the stronger acid is HCN C. Reactants are favored and the stronger acid is HIndD....
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08/03/15
At the equivalence point in a titration involving 1.0 M solutions, which of the following combinations would have the lowest conductivity
A. Nitric acid and barium hydroxide B. Acetic acid and sodium hydroxide C. Sulphuric acid and barium hydroxide D. Hydrochloric acid and sodium hydroxide
I dont understand why the answer is c
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