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Calculus
A price p (in dollars) and demand x for a product are related by:
2x^2+5xp+50p^2=24800.
If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand.
2x^2+5xp+50p^2=24800.
If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand.
Calculus
Calculate lim x tends ∞− x^2 ln(x^2+1/x^2)^3
Calculus
Calculate lim x→ 0(3^x/x-2^x/x)
Calculus
What value assigned to f (x) at x = 2 will make the function f defined by
4
6
( ) 2
2
−
+ −
=
x
x x
f x continuous?
4
6
( ) 2
2
−
+ −
=
x
x x
f x continuous?
Calculus
State whether the following statements are true or false. Justify your answer. a) The level curves of x/yz=are hyperbolas. b) 2222)0,0()y,x(yxyxlim+−→does not exist. c) The set }0z,0y,0x|)z,y,x{(<>>is a domain in 3R. d) The work done by the Force )x,y()y,x(F−=in moving a particle along the boundary of the ellipse 36y4x922=−+is 6. e) The function xyze)z,y,x(f=is integrable over ].1,0[]1,0[]1,0[××
Calculus
Find the slope of the line bisectng the angle from the line through (2,3) and(10,9) to the line (3,15) and (10,9).
Answer please its 'asap'
Answer please its 'asap'
Calculus
why under-root 2 is irrationnal number??
Calculus
Limit Question ;
Limit(x->infinity) ((1+x^2)^(e^(-x)))
Limit(x->infinity) ((1+x^2)^(e^(-x)))
Calculus
how many grains of rice would it take to cover florida one meter deep
Calculus
1. Projectile Range
The range r of a projectile fired with an initial velocity at an angle with the horizontal is R= (initial velocity)^2Sin2(angle)/g where g is the acceleration due to gravity. Find the angle such that the range is maximum.
2. Illumination
A light source is located over the center of a circular table of diameter 4 feet. Find the height h of the light source such that the illumination I at the perimeter of the table is maximum if I=k(sina)/s^2, where s is the slant height, a is the angle at which the light strikes the table, and k is a constant.
The range r of a projectile fired with an initial velocity at an angle with the horizontal is R= (initial velocity)^2Sin2(angle)/g where g is the acceleration due to gravity. Find the angle such that the range is maximum.
2. Illumination
A light source is located over the center of a circular table of diameter 4 feet. Find the height h of the light source such that the illumination I at the perimeter of the table is maximum if I=k(sina)/s^2, where s is the slant height, a is the angle at which the light strikes the table, and k is a constant.
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#340153 on Dec 2023
#340153 on Dec 2023