12. To celebrate Pi Day, you want to approximate a to within 0.001. 1 4 - dx to determine the smallest integer n needed to 1+x? a. Use the fact that ↑ = 4 arctan(1) 4 approximate by using the trapezoid rule, with the required accuracy. Hint: if f(x)= 1+x? then f"(x) < 8 on the interval [0,1].

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: 26) y = tan((T/6)x) Period: TT. -217 -ㅠ TT 21T -2 -1 -1 -2 -ㅠ MCL @01 %24 ElN-

A:

Q: Consider the graph of the function y = cos(t^4). As t increases, the "period" of the function gets…

A: Solution Second derivative test for concavity of function d^2(y)/dt^2 &lt; 0   Concave down…

Q: The error in the forward approximation of the x² sin (2x) at x = π/3 is: (use function f(x) step…

A:

Q: Show that sin(x^2) ≤ sin x for 0 ≤ x ≤ 1. Deduce that sin(x^2) dx ≤√2/2 on the invterval [0, π/4]

A:

Q: coth 5.x dx = Select one: a. = = ln |sinh 5x| + C b. cosh¹2√x+1 "()+" c. sinh-1 ○ d. = d. =…

A: Step 1:Step 2: Step 3: Step 4:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.