∫1/4e^-.25x dx
∫1/4e^-.25x dx
Let us assume that every vector in S_2 is a linear combination of vectors in S_1. Question: Does that mean that S_1 and S_2 are bases for the same subspace of V? I know that the...
ƒ'(x)=ax2+6x+b ƒ'(1)= 14 ƒ''(1)= 12 ∫12 f(x)dx=18
The function N(x) = −2x^3 + 180x^2 + 3000x + 20000 gives the number of items of a product that are sold for a given value of x, where x represents advertising expenditures in...
Given that f(x)=6/x–12 and g(x)=9/x+3, find (a)(f+g)(x) and its domain is ... (b)(f-g)(x) and its domain is... (c)(fg)(x) and its domain is... (d)(f/g)(x) and its domain...
(a)(f+g)(x) and its domain is ... (b)(f-g)(x) and its domain is... (c)(fg)(x) and its domain is... (d)(f/g)(x) and its domain is... domain must be in integral...
Consider the transformation x=vcos(2piu), y=vsin(2piu) a)Describe the image S under T of the unit square R={(u,v,)|0<u<1,0<v<1} b)Find the area of S
I need help with the following homework problem and setting up the equations as well as how to solve them! (Bees collecting pollen and nectar - Optimization) Many bees collect...
An airline finds that if it prices a cross-country ticket at $300, it will sell 200 tickets per day. It estimates that each $20 price reduction will result in 40 more tickets sold per day. Find the...
It is continuous on [0,2] and differentiable on (0,2) f'(x)=3x^2-4x-2 The thing that I am stuck on is that f(a) does not equal f(b) f(0)=4 f(2)=0 I went ahead and plugged...
A contractor is appointed to paint a house. He wants to keep his labour costs as low as possible. It costs R200 for each painter (x) and a further R20/hour for each painter. He has determined that...
A 10 foot ladder lean against a wall. The height of the top of the ladder above the ground is twice the distance from the wall to the bottom of the ladder. How high is the top of the ladder?
A fence 8 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to...
Find the point on the line -5 x + 2 y + 3 =0 which is closest to the point ( -5, -3 ).
Suppose you have 144 square inches of cardboard. Your task is to build a box with a square bottom and no top. find the dimensions of the box to maximize volume.
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 9-x^2. What are the dimensions of such a rectangle with the greatest possible area? width=...
A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 4.5. What are the dimensions of such a cylinder which has maximum volume? width=??? height=...
If 1300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence...
Consider the function f(x) =4sqrtx+2 on the interval [ 1 , 6 ]. Find the average or mean slope of the function on this interval. By the Mean...