Recent content by jtt

Homework Statement make a u- substitution and integrate from u(a) to u(b) Homework Equations ∫[0,1] √(t^5+2t) (5t^4+2) dt The Attempt at a Solution u= t^5+2t du= 5t^4+2 u(1)=2 u(0)=0 ∫[0,1] √(u) du (2/3)(u)^3/2+c l[0,2] (2/3)( 0^5+2(0))^3/2- (2/3)(2^5+2(2))^3/2 0+...

Homework Statement use substitution to evaluate the integral Homework Equations 1)∫ tan(4x+2)dx 2)∫3(sin x)^-2 dx The Attempt at a Solution 1) u= 4x+2 du= 4 (1/4)∫4 tan(4x+2) dx ∫(1/4)tan(4x+2)(4dx) ∫ (1/4) tanu du (1/4)ln ltan(u)l +c 2) u=sinx du= cosx or u=x du = 1 ?

Homework Statement find the total area of the region between the curve and the x- axis Homework Equations 1) y=2-x, 0≤x≤3 2)y=3x^2-3,-2≤x≤2 3)y=x^3-3x^2+2x, 0≤x≤2 4)y= x^3-4x, -2≤x≤2 The Attempt at a Solution I've tried using my graphic calculator to see what the graphs looked...

trying to differentiate x+tan(xy) i got dy/dx when i took the derivative of y in tan(xy)

Homework Statement find dy/dx Homework Equations x+tanxy=0 The Attempt at a Solution d/dy(x+tanxy) x+sec^2(xy)((1)(dy/dx))+(1)(tanxy)=0 dy/dx(sec^2(xy)+x+tanxy=0 -x-tanxy -x-tanxy dy/dx(sec^2(xy)/(sec^2(xy)=(-x-tanxy)/(sec^2(xy))...

Homework Statement find dy/dx Homework Equations x= tan y The Attempt at a Solution d/dx(x=tanY) 1=(tan(dy/dx))+sec^2+y

i tried bringing down the 4Th exponent and then subtract it by one to get three, then leaving the inside alone ( 5x-1) at the same time taking the derivative of 3x^2. after that i got confused and got a wrong answer.

Homework Statement Find the derivative of the following: Homework Equations Y= x^3(5x-1)^4 The Attempt at a Solution 4(3x^2(5x-1)^3)(4(3x^2(3(5x-1)^2)(2(5x-1)(5)

Dear Mark44, the textbook that i have does not give an example of the volume of a spherical balloon. I'm sorry if it seems as though i am not making a serious attempt at solving this problem but sometimes i have a hard time trying to determine what i need to do to solve math problems, there...

Homework Statement the volume v=(4/3)(pie symbol 3.14..)r of a spherical balloon changes with the radius a)at what rate does the volume change with respect to radius when r= 2ft? b) by approximately how much does the volume increase when the radius changes from 2 to 2.2ft? Homework...

thanks for the help on this

yes the cost function expression is c(x)= 2000 + 100x-0.1x^2

Homework Statement suppose that the dollar cost of producing x washing machines is c(x)= 2000 + 100x-0.1x6^2 a) find the average cost of producing 100 washing machines. b) find the marginal cost when 100 washing machines are produced. Homework Equations c(x)= 2000 + 100x-0.1x6^2: the...

is the equation 24t-.8t^2-90=0 factorable or will i have to use the quadratic equation? i started out by dividing the whole equation by 2 and i got: 12t-.04t^2-45=0 i'm stuck and not sure where to go from here...

the time it takes to reach max height is 15 seconds and the height is 180 ft. based on how i tried to interpret the last reply this is what i got: 24-.8t^2=90 -90 -90 24t-.8t^2-90=0 is this correct?