Recent content by muddyjch

It is actually a pi sign but a really bad one sorry for the confusion

Homework Statement Find the area of the region inside: r = 9 sinθ but outside: r = 1 Homework Equations The Attempt at a Solution r = 9 sinθ is a circle with center at (0, 4/2) and radius 4/2 while r= 1 is a circle with center at (0, 0) and radius 1. The two curves intersect...

Homework Statement Determine the distance D between the vertices of -9x^2+18x+4y^2+24y-9=0 Homework Equations The Attempt at a Solution This is an online problem that my calc2 instructor gave us. I can't find anything in my book of this level of difficulty. Any help would be...

Homework Statement F(x)=∫(0 to x) tan^(-1)t dt. f(x)= infinite series ∑n=1 (-1)^(en)(an)x^(pn)? en=? an=? pn=? I know en = n-1 Homework Equations The Attempt at a Solution Start with the geometric series 1/(1 - t) = ∑(n=0 to ∞) t^n. Let t = -x^2: 1/(1 + x^2) = ∑(n=0 to ∞)...

Are you suggesting sub u=x^2+6x, du=2x+6 dx and so 1/2du=x+3 dx and the final answer should be 1/2 log (x^2+6x)? This is not the answer he wants because i believe he wants us to use a different method. Kind of confusing.

Integration by parts velocity, time, distance problem Homework Statement A particle that moves along a straight line has velocity v(t) = t^2*e^(−2t) meters per second after t seconds. How many meters will it travel during the first t seconds? This problem comes from an online homework...

Homework Statement Evaluate the indefinite integral. ∫(x + 3)/(x^2+6x) dx Homework Equations This is an online homework prob. that covers sections integration by parts and substitution in indefinite integrals. it looks to me that it fits into the formula ∫udv=uv-∫vdu if you change...

Homework Statement Solve the inital value problem for y(x); xy′ + 7y = 2x^3 with the initial condition: y(1) = 18. y(x) = ? Homework Equations dy/dx +P(x)y=Q(x), integrating factor=e^∫P(x) dx The Attempt at a Solution Multiplied all terms by 1/x to get it in correct form...

Thanks that is the right answer, just didn't get into the calculator right.

Homework Statement A curve is given by the equation: y^3+1004=(e^x+1)^2 Find the slope of the tangent line at the point (0,-10). Homework Equations The Attempt at a Solution I took the derivative of ((e^x+1)^2-1004)^(1/3) and that is (2e^x(1+e^x))/(3((1+e^x)^2-1004)^(2/3)) but...

So if i understand correctly Fg=mg sin 0.078rad. Thanks for your help!

Homework Statement A bobsled has a frontal area of 0.86 m^2 and a coefficient of drag of 0.267. The air density is 1.043 kg/m^3. Total mass of the sled and the bobsled driver and pushers is 827 kg. Friction in the runners is negligible. The track slopes down at an angle of 0.078 radians. What...

Homework Statement A person with a mass of 80kg pulls horizontally on the handle of a door which is locked. At that instant, the ground reaction force has a magnitude of 810N. What is the force applied to the door? (200 N) Homework Equations The Attempt at a Solution It seems...

Homework Statement 1. A child sits in a sled on a horizontal snowy surface. The combined mass of the child and the sled is 30 kg. The static coefficient of friction is 0.2 and a kinetic coefficient of friction of 0.15. How much force does it take to initiate movement of the sled? (59 N) 2...