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Calculus
what is m/4 - 3/5 =
m+3/10=
m+3/10=
Calculus
A camping goods shop operates on a profit margin of 85%. How much would the shop have paid for a sleeping bag that sells for $89.95.
Calculus
Thinking about the shape of the graph (no calculus needed) what is the largest value of f(x,y)=1/(1+x^2+y^4)?
Calculus
I want to find the rate of change of the area of any rectangle with respect to it's hypotenuse. I know how to do derivatives but I don't have any idea what equation to apply it to. Would it be the equation of the area or the hypotenuse I would take a derivative of? Is there a rule in calculus that would make it clear which one to use given (dA/dH), such as..."always take the deriviative of the one on top (dA/dH)? Thanks!
Calculus
integral 3x^3/x^4+5
Calculus
Can you please help me evaluate this indefinite integral?
∫ [1/(x√[(x^2)-4])dx]
I tried to do it and I got an answer of 1/2 arcsec(x/2) but I know that that's probably wrong because I used a sketchy process to get it to that.
I thought it might just be a special integral that I'm supposed to look up, but I don't have my book with the list of them with me right now and I can't find this specific type of integral listed anywhere on the internet.
Here's what I did:
∫ [1/(x√[(x^2)-4])dx]
∫ dx / (x √[ 4( [(x^2)/4] - 1)])
∫ dx / [2x √( [(x^2)/4] - 1)]
∫ (1/2) * {dx / [ x √( [(x/2)^2] - 1) ] } ....... Let u = x/2, du = 1/2dx, dx=2du
∫ (1/2) * {2du / (x √[ (u^2) - 1] ) }
∫ (1/2) * {du / ( [x/2] √[ (u^2) - 1] ) } ........ Take out constant multiple of 1/2
(1/2) ∫ {du / ( [x/2] √[ (u^2) - 1] ) } .......... *Sketchy Part* I assume (x/2) is equal to |x/2| and then use trig properties to take { } and turn it into arcsec
(1/2) arcsec(u)
(1/2) arcsec(x/2)
Is this somehow right?
∫ [1/(x√[(x^2)-4])dx]
I tried to do it and I got an answer of 1/2 arcsec(x/2) but I know that that's probably wrong because I used a sketchy process to get it to that.
I thought it might just be a special integral that I'm supposed to look up, but I don't have my book with the list of them with me right now and I can't find this specific type of integral listed anywhere on the internet.
Here's what I did:
∫ [1/(x√[(x^2)-4])dx]
∫ dx / (x √[ 4( [(x^2)/4] - 1)])
∫ dx / [2x √( [(x^2)/4] - 1)]
∫ (1/2) * {dx / [ x √( [(x/2)^2] - 1) ] } ....... Let u = x/2, du = 1/2dx, dx=2du
∫ (1/2) * {2du / (x √[ (u^2) - 1] ) }
∫ (1/2) * {du / ( [x/2] √[ (u^2) - 1] ) } ........ Take out constant multiple of 1/2
(1/2) ∫ {du / ( [x/2] √[ (u^2) - 1] ) } .......... *Sketchy Part* I assume (x/2) is equal to |x/2| and then use trig properties to take { } and turn it into arcsec
(1/2) arcsec(u)
(1/2) arcsec(x/2)
Is this somehow right?
Calculus
The point P(0.25, 8) lies on the curve y=2/x . Let Q be the point (x, 2/x)
a.) Find the slope of the secant line PQ for the following values of x.
If x=0.35, the slope of PQ is
If x=0.26, the slope of PQ is
If x=0.15, the slope of PQ is
If x=0.24, the slope of PQ is
b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.25, 8).
a.) Find the slope of the secant line PQ for the following values of x.
If x=0.35, the slope of PQ is
If x=0.26, the slope of PQ is
If x=0.15, the slope of PQ is
If x=0.24, the slope of PQ is
b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.25, 8).
Calculus
Suppose f(x)=(8-5x)e^x
(critical number: 3/5 )
B) use interval notation to find where f(x) is increasing and decreasing
C) Use interval notion where f(x) is concave up and concave down
D) List values of inflection
(critical number: 3/5 )
B) use interval notation to find where f(x) is increasing and decreasing
C) Use interval notion where f(x) is concave up and concave down
D) List values of inflection
Calculus
When administering a standard intelligence quotient (IQ) test, we expect above one-third of the scores to be more than 12 units above 100 or more than 12 units below 100. Describe this situation by writing an absolute value inequality.
Calculus
find the are of the curve bounded by if y=lnx and x=3.3 to x=2.2.2
