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if p(x)=x^3-3x^2-9x+c has a double zero, find c.

10 people go to a restaurant. If they sit at a circular table, find the probability of darren and samantha (2 of the people) sitting together if it is known that fred and ethel (2 others) are sitting together at the table. thank you!

can someone please explain how to do this - the highest point of the trajectory of a body is 300m and its horizontal range is 5000m. Find the initial velocity and angle of projection. thank you!

can someone pls tell me how to do these? thanks in advance :) 1. if In = the integral of (a2-x2)ndx betweeen a and 0, show In = [(2a2n)/(2n+1)](In-1) for n is greater than 1 2. if In=integral of (sinnx)(cos2x)dx between a and 0 for n is greater than zerp, show In=(n-1)/(n+2)In-2 ​for n is...

how do you integrate 7^(2x+1) ?

if you have a polynomial that is monic, has degree 4, has rational coefficients, is even and has a zero at -1+31/2, how do you figure out what it is? thanks :)

how do you integrate cube root of(sinx.cos^3x) thanks :)

thank you!! and what about this one: integrate cube root of(sinx.cos^3x)

how do you integate sqrt (x)/1+x as a definite integral between 1 and zero, and with the substition x=tan^2(theta) thank you! :)

in a motor with a split ring commutator, is it correct to say that the magnitude of the force on the coil is constant (because of F=BILsintheta) and sintheta is always equal to 1, but the direction of the force changes. Also, is it correct to say that the magnitude of the torque changes because...

if that is wrong, someone please tell. Also, i have no idea how to do spaces in latex i think it's all correct except for one minus sign you missed in the question, but i can still use your working to solve my question so thank you :) could you explain how you knew that the terms on the top...

how do you integrate 10/[(x-1)(x2+9)] ? thanks in advance :)

how do you integrate: sin2x/[2+sin2x] cotx between limits, pi/6 and pi/4 thank you :)

wow! thank you so much! so would the centrifugal force be greatest at the equator (thereby decreasing the effective value for g) because the earth's linear orbital speed is greatest at the equator?

A textbook I'm reading says this: Because the Earth has a slightly larger radius near the equator than at the poles (the ‘equatorial bulge’), g is slightly lower at the equator. Except at the poles, there is an additional (fictitious) decrease in g measurements that gets more severe as one...