# MTH603 Quiz 1 Solution and Discussion

• In Simpson’s 1/3 rule, the global error is of ……………… MTH603

Mth603 Just Final term MCQS (latest quiz included and FAQs and Glossary is also included in this file) Plz. … This preview shows page 1 - 3 out of 46 pages. … True False In Simpson’s 3/8 rule, the global error is of O(h2) O(h3) O(h4) None of …

• δ = E 1/2 - E 1/2

δ δ. + terms involving high powers of δx1, δx2 are infinitesimal their squares and higher powers … [eh - 1] ∆ex = (eh – 1)( e(x+h) - ex ) = (eh – 1)2 ex. ∴∆2 eax …

• Y’=(x)=1+Some truncation Error

EXAMPLE 1 Bound for Local Truncation Error Find a bound for the local … the local truncation error for any of the five steps given in Table 6.1.1 by replacing c by …

• For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula? MTH603

approximate the function f (x) = cos x by the series. 2. 4. 2 … An equation f(x)=0 is said to be the algebraic equation in x if it is purely a … between these two points and therefore, a root lies between these two points.

• (y2 + y4)/2

IR Row Orbital Symmetry function Bonding a1 s(M) s( M) Sigma s(L) (s1 +s2+s3+s4)/2 p(L) (x1+y1+z1−x2− y2+z2−x3+y3 −z3 +x4− y4−z4)/ √ 12 e 1 d(M) dx2 (M)

• While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ? MTH603

In mathematics, and more specifically in numerical analysis, the trapezoidal rule is a technique … The trapezoidal rule works by approximating the region under the graph of the … {\displaystyle {d^{2}g_{k} \ over dt.

• Polynomial Function

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x² − 4x + 7

• Logarithmic Function

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

• Exponential Function

In mathematics, an exponential function is a function of the form. where b is a positive real number, and in which the argument x occurs as an exponent. For real numbers c and d, a function of the form is also an exponential function, as it can be rewritten as.

• Trigonometric Function

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

• In Newton-Cotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral? MTH603

In numerical analysis, Simpson’s method is a method for numerical integration, the numerical approximation of definite integrals. … Simpson’s rule also corresponds to the three-point Newton-Cotes quadrature rule

• Series acceleration method

In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration.

• Sequence acceleration method

In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration.