| Subject | Date Asked | Expert |
|
| Critical Numbers | 11/19/2009 | Alon Mandes |
Q: Find critical numbers and relative maximum(s), and relative minimum(s) of f(x)=x^4-6x^2+2
A: f(x)=x^4-6x^2+2 f'(x)=4x^3-12x f'(x)=0 : 4x^3-12x=0 --> x(4x^2-12)=0 . Solutions : x1=0, ...
|
| maximizing revenue | 11/19/2009 | Paul Klarreich |
Q: Demand for a good is given by P=100*e^(0.00125X) （$p/unit, x units/month） Determine ...
A: Questioner: Terry Country: Canada Category: Calculus Private: No Subject: calculus, maximizing ...
|
| Calculus | 11/19/2009 | Scotto |
Q: How do you locate the acbsolute extrema of this function in a closed interval? (Step by Step) f(x)= ...
A: Is that supposed to be f(x) = 2x/(x²+1)? The derivative f'(x) = ((x²+1)2 - 2x*2x)/(x²+1)². That ...
|
| Help Derivatives | 11/18/2009 | Paul Klarreich |
Q: Please help me find the intervals of f(x) increasing, the interval of f(x) decreasing and local ...
A: Questioner: Vickkie Country: United States Category: Calculus Private: Yes Subject: Help ...
|
| mathmetical problem | 11/18/2009 | Scotto |
Q: "sir I have a mathmetical problem in limit and continuty in calculas. so i'd be greatful to you for ...
A: When x is in radiands, the answer is 1. This is because the Taylor's expansion of sin(x) = x - ...
|
| mathmetical problem | 11/18/2009 | Paul Klarreich |
Q: sir I have a mathmetical problem in limit and continuty in calculas. so i'd be greatful to you for ...
A: Questioner: akkha Country: Nepal Category: Calculus Private: No Subject: mathmetical problemsir ...
|
| related rates ladder | 11/17/2009 | Ahmed Salami |
Q: i am trying to understand this problem: 1- A ladder 25 feet long is leaning against the wall of aa ...
A: In the first part, there were no xy terms and it was straightforward to differentiate. We ...
|
| Double Angle Formulas | 11/17/2009 | Paul Klarreich |
Q: can you please help me in this question? It says prove: cos^2theta = 1/2 + 1/2cos2theta Thanks
A: Questioner: Rabia Country: Canada Category: Calculus Private: No Subject: Double Angle ...
|
| Trig | 11/16/2009 | Ahmed Salami |
Q: Suppose that cos θ = 3/5 and that θ is a Quadrant IV angle. Find the exact value of sin ...
A: cos²θ + sin²θ = 1 sin²θ = 1 - cos²θ sinθ = √(1 - cos²θ) But, ...
|
| calcus | 11/13/2009 | Alon Mandes |
Q: find a point on the graph of y=e 5x at which the tangent line passes through the origin
A: Tangent line that passes through the origin will have the equation : y=mx . Where m is the slope of ...
|
| calculus 1 | 11/13/2009 | Alon Mandes |
Q: A boat leaves the dock at 2 pm. and travels due south at a speed of 20mph. Another boat, which had ...
A: Let's set this time as to . After 1 hour boat B arrived to the dock. That means that at 2pm after to ...
|
| Logarithmic Functions | 11/13/2009 | Ahmed Salami |
Q: Use Logarithmic differentiation to find the derivative of the function. y= (rad ...
A: y = √x . e^x² . (x² + 2)^10 Taking logarithms, ln y = ln[√x . e^x² . (x² + 2)^10] ln y = ...
|
| Calculus | 11/13/2009 | Alon Mandes |
Q: Find the equation of the tangent line to the following curves at the given point 1. y= 1/cube ...
A: In order to find the equation of the tangent line y=mx+n . Where m is the slope & n is the intersect ...
|
| the derivative of y=sinx and y=cosx | 11/12/2009 | Alon Mandes |
Q: An isosceles triangle is inscribed in a circle of radius R. Find the value of angle theta that ...
A: I attached a drawing of the circle & the triangle with all the angles . Area=S=½X²Sin(Ө). ...
|
| advanced calc question | 11/12/2009 | Alon Mandes |
Q: Suppose that the function f is continuous on [a,b], x1 and x2 are in [a,b] and k1 and k2 are ...
A: No, No M.V.T is needed. %26 besides M.V.T concerns the derivative , so it's irrelevant. What we ...
|
| Calculus | 11/12/2009 | Alon Mandes |
Q: Find the slope of the tangent line to the folowing curves at the given value of x: y=(x^2-2x+2)^5 ...
A: The slope of the tangent line is simply the value of the derivative at that point. Say, ...
|
| Differentiation | 11/12/2009 | Alon Mandes |
Q: 1)A firm's demand curve for a product is given as P=300-25Q a. What in you view is the total revenue ...
A: If we have a function that is polynom such as : f(x)=ax²+bx+c then the derivative will be : ...
|
| successive derivaties | 11/12/2009 | Alon Mandes |
Q: find d^y/dx^2 for the following functions 1) xy+2y=5x 2)x^2+y^2+a^2 3)x^3+y^3= a^3
A: 1) d/dx { xy+2y } = d/dx {5x} y+xy'+2yy'=5 y+y'(x+2y)=5 y'=(5-y)/(x+2y) d/dx { y+xy'+2yy' } = d/dx ...
|
| Related Rates. | 11/12/2009 | Ahmed Salami |
Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of ...
A: The formula for the area A of a rectangle with length l and width w is A = lw differentiating with ...
|
| Derivative of Exponential Function | 11/11/2009 | Alon Mandes |
Q: I need the derivative of the following cumlative distrubution function with respect to x. f(x) = ...
A: A-Ae^(-8Bx) f(x)= ------------------ 1+Ce^(-8Bx) IF y=[f/g] then ...
|
| Differentiation | 11/11/2009 | Alon Mandes |
Q: 1)A firm's demand curve for a product is given as P=300-25Q a. What in you view is the total revenue ...
A: 1) Is out of my expertise . 2) f(x) = (1/3)x^3 + (5/2)x^2 - 14x + 5 . Let's derive & solve f'=0 : ...
|
| Differentiating Volume of a Sphere | 11/11/2009 | Ahmed Salami |
Q: Ahmed V=4/3.pi.r3 dV/dr=4.pi.r2 (total surface area) d2V/dr2=8.pi.r=4.pi.d (what would this ...
A: Well, i'm afraid that in this case both d²V/dr² and d³V/dr³ dont actually represent any physical ...
|
| Derivative of Exponential Function | 11/11/2009 | Alon Mandes |
Q: I need the derivative of the following cumlative distrubution function with respect to x. f(x) = ...
A: A*(1-e^-8Bx) A-Ae^(-8Bx) f(x)= ------------------ = --------------- ...
|
| Word problem | 11/11/2009 | Alon Mandes |
Q: I've tried to figure this one out but I keep getting stuck, help please. Q. A farmer plans to fence ...
A: Let's set x to be the length of the rectangle of the fence %26 y is the width . Thus, xy=180000 --> ...
|
| Diff. of Log | 11/10/2009 | Alon Mandes |
Q: Hey I'm not even sure how to attempt this problem without the denominator being zero. Use the ...
A: Here we simply can perform the trick by switching h instead of x . It will give the same result : ...
|
| complex number | 11/10/2009 | Alon Mandes |
Q: I keep having trouble understanding in complex number solving.And i am hopping you could show me how ...
A: every complex number z can be represented by either on of two: Cartesian Rep : a+jb or simply ...
|
| Optimization Problem | 11/9/2009 | Ahmed Salami |
Q: Can you see if you can help me with the following problem? Thank you. 7. (1 pt) The manager of a ...
A: Revenue is found by multiplying number of units N by the rent of each unit r. R = N.r If there are n ...
|
| Optimization Problem #4 | 11/9/2009 | Alon Mandes |
Q: Any chance you could look at another optimization problem? I tried to attach the PDF document but ...
A: sorry, The v(x) should be : V(x)=144x-54x²+4x³ . So, v'(x)=144-108x+12x² . v'(x)=0 : 144-108x+12x²=0 ...
|
| Optimization Problem #4 | 11/8/2009 | Alon Mandes |
Q: Any chance you could look at another optimization problem? I tried to attach the PDF document but ...
A: Our cardboard has dimensions of : 8X18 . Our function is ...
|
| Related Rates | 11/8/2009 | Scotto |
Q: An athlete is running around a track at constant speed. The track is a rectangle of width R and ...
A: The runner is running at a constant speed of K. The coach is standing at (x,y). The runner is at ...
|
| Proving L'hospital's rule | 11/8/2009 | Alon Mandes |
Q: if f'' is continuous show that Lim h->0 f(x + h) -2f(x) + f(x-h) ------------------------ h^2 = ...
A: The definition of f'(x) is : Lim{h->0} [f(x+h)-f(x)]/h . Therefore, The definition of f''(x) will ...
|
| Proving L'hospital's rule | 11/8/2009 | Scotto |
Q: if f'' is continuous show that Lim h->0 f(x + h) -2f(x) + f(x-h) ------------------------ h^2 = ...
A: Note that this can be rewritten. It is really (f(x+h) - f(x)) - (f(x) - f(x-h))/h². It can be ...
|
| related rates | 11/8/2009 | Scotto |
Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles ...
A: (a) To do this, we need to know the surface area. Since width = height, to width a the surface is ...
|
| related rates | 11/8/2009 | Scotto |
Q: For the baseball diamond shown in the figure below, suppose the player is running from first to ...
A: Since the distance between each base is 90', he is 90-34=56' from 1st base. The right triangle ...
|
| complex integral using parametrizatin | 11/8/2009 | Alon Mandes |
Q: Using parameterization perform: ∮〖(e^z)dz〗along c:|z|=1 ANSWER: ...
A: a) f(z)=e^(3z). Our parametrization will be : z(t)=(1+i)t , where 0≤t≤1 . Therefore : ...
|
| Pre-Calculus | 11/7/2009 | Ahmed Salami |
Q: I need help with this problem, please: Suppose points A, B, and C have coordinates A (0, 0), B (1, ...
A: Vector AB, u = (1-0)i + (-2-0)j = i - 2j where i and j are the unit vectors in the ...
|
| Optimization Problem | 11/7/2009 | Alon Mandes |
Q: Can you show me how to work through this problem? THANK YOU! 5. (1 pt) A parcel delivery service ...
A: If x is the side of the square and y the length of the box, then : Volume=yx²2 & ...
|
| Optimization Problem | 11/7/2009 | Scotto |
Q: Can you show me how to work through this problem? I have have a lot of trouble. THANKS!! A car ...
A: There are 29 dollars for 210 cars rented. For each 1 increase in dollars, there are 5 fewer cars. ...
|
| Calculus | 11/7/2009 | Alon Mandes |
Q: Explain why the Mean Value Theorem does not apply to the function f(x)= x to the 1/3 on the interval ...
A: The mean value theorem states that f(x) is continuous on the closed interval [-1,1], & ...
|
| Calculus | 11/6/2009 | Scotto |
Q: Let f(x)=(x^2)+4, g(x)=√(x-1) and j(x)=(g×f)(x). a) Find the average rate of change of j(x) ...
A: a) It is known that j = √((x²+4)-1) = √(x²+3). The rate of change is the derivative. To ...
|
