Question

Find the root. For g(t), find two roots nearest x=0. For h(x), find both roots. F(x)=-5x+3 and g(t)=1.707cos(2πt) and h(x)= 2x^2+x-12

Answer 1

would you please tell us what methods you've been using to do similar problems. I suspect you're learning Newton's Method, which is a great approach. Once I've heard back from you, I'd be glad to proceed further towards helping you solve these problems.

Answer 2

we are using mathcad it programms it for us i just need to know how to set it up

Answer 3

ermm.. i don't kno really :-/

Answer 4

If you're open to applying Newton's Method to finding the roots of the 2nd 2 equations, I can help. The first equation is just a straight line; to find the roo of that, just let x=0 and solve the resulting equation for x.

Answer 5

Please set F(x)=-5x+3 equal to zero.
Drop the label F(x).
Solve the resulting equation for x.
that value is the root you wanted.

Answer 6

-5x+3=0. so x will be equal to3/5

Answer 7

@mathmale

Answer 8

that's right. The "root" or "zero" of the first equation is x=3/5.

Now go on to the next problem.
"for g(t), find two roots nearest x=0, if g(t)=1.707cos(2πt)

Answer 9

I strongly advise you to use Newton's Method here. The work is a lot more challenging than it was for the first equation.

Are you familiar with Newton's Method?

Answer 10

no i'm not familar with newtons law

Answer 11

Actually, it's Newton's Method, not Newton's 1st, 2nd and 3rd Laws (of Physics).

The third problem is a bit easier to solve than is the 2nd.

h(x)= 2x^2+x-12 could be set equal to zero and solved by either factoring or through the quadratic formula.

If 2x^2+x-12=0, how would you go about finding the two roots/zeros?

Answer 12

Please think about this and then try finding the zeros. If you'd like further help with this, please share your work with me, so that I could give you meaningful feedback.