• ### Application of derivatives?

Among all tangents to graph of y= x^(3) -6x^2+45x/4+1=0 at positive x-values, the one which intersects y-axis at maximum y-value is chosen. Find that y-value.
Among all tangents to graph of y= x^(3) -6x^2+45x/4+1=0 at positive x-values, the one which intersects y-axis at maximum y-value is chosen. Find that y-value.
3 answers · Mathematics · 5 days ago
• ### Rectangle inscribed in an isosceles triangle?

Find the length of the diagonal of the rectangle with the largest area that can be inscribed in an isosceles triangle of base 24 cm and height 10 cm
Find the length of the diagonal of the rectangle with the largest area that can be inscribed in an isosceles triangle of base 24 cm and height 10 cm
1 answer · Mathematics · 5 days ago
• ### Application of derivatives?

An open tank with a square base is to be made of sheet iron. Its capacity is to be 4 m^3. Find the dimensions of the tank so that the least amount of sheet iron may be used.
An open tank with a square base is to be made of sheet iron. Its capacity is to be 4 m^3. Find the dimensions of the tank so that the least amount of sheet iron may be used.
2 answers · Mathematics · 6 days ago
• ### A farmer has 100 m of fencing and wants to build a rectangular pen for his horse. Find the dimensions of the largest area he can enclose.?

7 answers · Mathematics · 6 days ago
• ### Solve 2x-2+ln(x)=0?

2 answers · Mathematics · 2 weeks ago
• ### Find the value of m if the curve y=x^3+2mx^2 +30 is tangent to the line y=-2?

4 answers · Mathematics · 2 weeks ago
• ### Find the local extrema of the following function F(x)= x^2-3x+xln(x)?

2 answers · Mathematics · 2 weeks ago
• ### Application of derivatives?

This is a question solved in my book but why is the local minimum x=1 but not x= -1 and we can see clearly that f(x) is increasing in the interval ( -infinity,-2) and (-1,infinity) and decreasing in the interval ( -2,-1) ,but as my book states f(x) is increasing for x>1and decreasing for x<1
This is a question solved in my book but why is the local minimum x=1 but not x= -1 and we can see clearly that f(x) is increasing in the interval ( -infinity,-2) and (-1,infinity) and decreasing in the interval ( -2,-1) ,but as my book states f(x) is increasing for x>1and decreasing for x<1
2 answers · Mathematics · 2 weeks ago
• ### F(x+2)=e^(x)*g(x^(2)+1) and g(1)=5 are given find value of f'(2)?

Mathematics · 3 weeks ago
• ### Derivative of function?

An arrow is shot upward on a planet. Its height (in meters) after t seconds is given by h(t) = 60t– 0.6t^2. a.At what time will the arrow reach the top? b.With what velocity will the arrow hit theground?
An arrow is shot upward on a planet. Its height (in meters) after t seconds is given by h(t) = 60t– 0.6t^2. a.At what time will the arrow reach the top? b.With what velocity will the arrow hit theground?
Mathematics · 1 month ago
• ### Can we use static electricity to light a bulb?

I recently saw a video of two students holding a light bulb in one hand while rubbing their other hands to their clothes and when their hands touched the light bulb start glowing how is this possible??
I recently saw a video of two students holding a light bulb in one hand while rubbing their other hands to their clothes and when their hands touched the light bulb start glowing how is this possible??
4 answers · Physics · 1 month ago
• ### Solve the following equation X^3-x-1=0?

4 answers · Mathematics · 2 months ago
• ### How can I solve this without using derivatives?? http://i63.tinypic.com/wss1ol.png P.s: I couldn't upload a photo so I paste the url?

Mathematics · 2 months ago
• ### How can I solve this question without using derivatives? Limit[Sin[x]^2/(Cos[x] - Sqrt[Cos[2 x]]), x -> 1]?

Mathematics · 2 months ago
• ### How can I solve this question without using derivatives?

2 answers · Homework Help · 2 months ago
• ### How can I solve this question without using derivatives?

2 answers · Mathematics · 2 months ago
• ### Limit of function?

3 answers · Mathematics · 2 months ago
• ### Limit problem?

Is the way I tried to solve this question wrong?
Is the way I tried to solve this question wrong?
3 answers · Mathematics · 2 months ago
• ### Floor function problem?

1 answer · Mathematics · 2 months ago
• ### Limit of floor function: What is Limit x͢ 2- [x^5]?

1 answer · Mathematics · 2 months ago