Use el método de RK clásico de cuarto orden (con iteraciones) con \( h=0.5 \) y \( h=0.2 \), para resolverx \( =1 \) a \( x=4 \), y utilicelos para aproximar el valor \( y(3) \). (graficar en un mismo plano la solución analítica y la aproximación

Consider the function \( f(x) = x^2 \). Use the Fundamental Theorem of Calculus to compute the definite integral from 1 to 3.

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. \( e^{1-5 x}=851 \) The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm.) Now use a calculator to obtain a decimal approximation for the solution. The solution set is \{ (Use a comma to separate answers as needed. Round to two decimal places as needed.)

3. If \( F(x)=x^{3}+a x+b \) has relative miclimum value of - 6 at \( x=\partial \) firld the value af " \( a \) " and " \( b \) "

Dada la funcion implicita: \( \frac{1}{x}=\frac{4^{x}}{8^{y}} \)

Определите характер поведения функции \( y=x^{7}-x \).