cannot get these four problems help!!!!!!
1.)Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Give your answer correct to four decimal places).
x5 - x - 5 = 0
x1 = 3
2.)If f is integrable on [a, b], the following equation is correct.
int_a^b f(x)dx = lim_(n->infinity) sum_(i=1)^n f(x_i) Deltax text(, where ) Deltax = (b-a)/n text( and ) x_i = a + i Deltax.
Use the given form of the definition to evaluate the integral. (Round your answer to two decimal places.)
int_0^5 (2+5 x^3)dx
3.)It is known that if m f(x) M for a x b, then the following property of integrals is true.
m(b-a) <= int_a^b f(x)dx <= M(b-a)
Use this property to estimate the value of the given integral.
____blank_ is less than or eual to int_0^4 3/(1+x^2)dx is less than or equal to _blank____
4.)Evaluate the integral.
int_(-2)^(3) \(x^3-6 x\) dx
1.)Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Give your answer correct to four decimal places).
x5 - x - 5 = 0
x1 = 3
2.)If f is integrable on [a, b], the following equation is correct.
int_a^b f(x)dx = lim_(n->infinity) sum_(i=1)^n f(x_i) Deltax text(, where ) Deltax = (b-a)/n text( and ) x_i = a + i Deltax.
Use the given form of the definition to evaluate the integral. (Round your answer to two decimal places.)
int_0^5 (2+5 x^3)dx
3.)It is known that if m f(x) M for a x b, then the following property of integrals is true.
m(b-a) <= int_a^b f(x)dx <= M(b-a)
Use this property to estimate the value of the given integral.
____blank_ is less than or eual to int_0^4 3/(1+x^2)dx is less than or equal to _blank____
4.)Evaluate the integral.
int_(-2)^(3) \(x^3-6 x\) dx