Download Nonlinear Equations: Roots and Numerical Methods and more Quizzes Computer Science in PDF only on Docsity!
Nonlinear Equations
(Clicker Quiz)
http://numericalmethods.eng.usf.edu Numerical Methods for the STEM undergraduate
Nonlinear Equations
(Background)
http://numericalmethods.eng.usf.edu Numerical Methods for the STEM undergraduate
The value of x that satisfies f(x)=0 is
called the
root of equation f(x)=0root of function f(x)zero of equation f(x)=0none of the above
(A) root of equation f(x)= (B) root of function f(x) (C) zero of equation f(x)= (D) none of the above
A quadratic equation has root(s)
one two three
cannot be determined
(A) one (B) two (C) three (D) cannot be determined
For a certain cubic equation, at least one of the
roots is known to be a complex root. The total
number of complex roots the cubic equation
has is
one two three
cannot be determined
(A) one (B) two (C) three (D) cannot be determined
An equation such as tanx=x has ________
root(s)
zero one two infinite
(A) zero (B) one (C) two (D) infinite
A polynomial of order n has zeros
n-1 n n+1 n+
(A) n- (B) n (C) n+ (D) n+
The velocity of a body is given by
v(t)=5e -t^ +4 , where t is in seconds and v is in
m/s. The velocity of the body is 6m/s at t=
.1823 .3979 .9162 1.
(A) 0.
(B) 0.
(C) 0.
(D) 1.
Nonlinear Equations
(Numerical Methods)
http://numericalmethods.eng.usf.edu Numerical Methods for the STEM undergraduate
Bisection method of finding roots of
nonlinear equations falls under the category
of a (an) method.
open bracketing randomgraphical
(A) open (B) bracketing (C) random (D) graphical
If for a real continuous function f(x) ,
f(a)f(b)<0 , then in the range [a,b] for f(x)=0 ,
there is (are)
one root
undeterminable num...
no root at least one root
(A) one root (B) undeterminable number of roots (C) no root (D) at least one root
For an equation like x 2 =0 , a root exists at
x=0. The bisection method cannot be
adopted to solve this equation in spite of the
root existing at x=0 because the function
f(x)=x 2
is a polynomial has repeated roots ..is always non-negativeslope is zero at x=
0% 0%0%0%
(A) is a polynomial
(B) has repeated roots at x=
(C) is always non-negative
(D) slope is zero at x=
