Recent content by chapsticks

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    Solving Integrals with Trigonometric Functions

    Homework Statement ∫ x sinx cosx dx = Homework Equations note that sinx cosx = (1/2) sin 2x The Attempt at a Solution 1/2) ∫ x sin 2x dx = (1/2) [(-1/2)x cos 2x - ∫ (-1/2)cos 2x dx] = (1/2) [(-1/2)x cos 2x +(1/2) ∫ cos 2x dx] = (-1/4)x cos 2x +(1/4) ∫ cos 2x dx = (-1/4)x cos 2x...
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    The purpose of the product:Bacteria

    Live cultures of Bacillus thuringiensis (Dipel) and B. subtilis (Kodiak) are sold as pesticides.What bacterial structures make it possible to package and sell these bacteria? For what purpose is each product used? Is it because it's close to anthrax?(endosporish)
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    Find the integral. (Note: Solve by the simplest method )

    Homework Statement Find the integral. (Note: Solve by the simplest method - not all require integration by parts.) ∫t ln(t + 2) dt Homework Equations ∫udv=uv-∫vdu The Attempt at a Solution dv=tdt v=tdt=t2/2 u=ln(t+2) du=1/(t+2)dt ∫t ln(t + 2) dt...
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    Moments,Center of Mass, & Centroid

    Homework Statement Find Mx,My, & (x bar, y bar) for the laminas of uniform density ρ bounded by the graphs of the equations. (Use rho for ρ as necessary.) x=-y x=5y-y2 Homework Equations m= ∫f(x)-g(x) dx my= ∫x(f(x)-g(x)) dx =>x bar my/m mx= 1/2 ∫ (f(x))2-g(x))2dx => y bar=mx/m...
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    Solution to Incorrect Homework Equation

    I got it correct :))
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    Solution to Incorrect Homework Equation

    I saw it in an example for the inequality.. The 7 is for the a & b part I don't know how to place the 0 on the bottom.
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    Solution to Incorrect Homework Equation

    Homework Statement so I did Homework Equations s=∫ba√(1+[f'(x)]2dx The Attempt at a Solution y=2/3x3/2+7 y'=x1/2 0≤x≤1 =∫6√(1+(x1/2)2)dx =[2/3(1+x)3/2]7 my answer came out wrong
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    Volume Shell Method: Setup & Evaluation

    Wow I should have paid close attention the graph is too small haha thank you.
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    Volume Shell Method: Setup & Evaluation

    Homework Statement Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = √x Homework Equations V=2∏∫p(x)h(x) dx a=0 b=8 The Attempt at a Solution V=2∏∫(x)(√x)dx a=0 b=8...
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    Inverse Trig Function: Find Derivative of the Function

    YAY it finally worked thank you :D
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    Inverse Trig Function: Find Derivative of the Function

    I did this one in my homework online and it keeps saying I'm wrong
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    Inverse Trig Function: Find Derivative of the Function

    okay how about this answer?? f'(x)=arcsec4x+ 4/(4x(√(16x)2-1)
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    Inverse Trig Function: Find Derivative of the Function

    I mean this one (4x)^2
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    Inverse Trig Function: Find Derivative of the Function

    is it 4/(|4x|(√4x2-1)) I keep getting it wrong
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    Inverse Trig Function: Find Derivative of the Function

    Homework Statement find the derivative of the function f(x)=arcsec(4x) Homework Equations I think this is a Relevant equations. d/dx[arcsecu]=u'/(|u|(√u2-1) The Attempt at a Solution f'(x)=4/(|4|(√42-1) =1/√15 I keep getting wrong in my online homework why? :confused: