Given: eX - LN(x) = 4. If x = 0.05 is one solution for the equation, use a graphing calculator to find another solution. O 0.57 O 1.27 O 1.48 O 2.17 0 3.33
z1(x) = 2x3 + x ln x, z2(x) = x ln x − x3 are solutions of a second order, linear nonhomo-geneous equation L[y] = f (x).y1(x) = x−2 is a solution of the corresponding reduced equation L[y] = 0. (a) Give a fundamental set of solutions of the reduced equation L[y] = 0. (b) Give the general solution of the nonhomogeneous equation L[y] = f (x).
Use the Laws of Logarithms to combine the expression. 3 In(2) + 4 ln(x)--ln(x + 5)
Let h(x) = ln(x^2 + 1) be a function defined on (−∞,∞). Find the equation of the tangent line to the curve of h(x) at x = 1. Use the exact values only
using the equation p(x) = ln(√x^3-1), find rate of change for 10 items
1. For the differential equation x’y"+xy'- y = ln x, y = -- Inx. a. What is the order? b. Is it linear, or nonlinear? c. Verify that y=-- In x is a solution of the differential equation.
Problem #5 Equation 1 is the infinite Taylor series expansion of ln(1 + x), where In is the natural logarithm: 5 (-1)k+1 Eqn. 1 Σ(-1)k+1 k In(1 + x) Eqn. 2 Equation 2 is the finite version that calculates an approximation for ln(1 + x). Instead of letting k go to infinity, it stops summing once k reaches some fixed value N. Task Develop a program that can compute ln(1 +x). Have it first ask the user to enter x...
Problem #5 Equation 1 is the infinite Taylor series expansion of ln(1 + x), where In is the natural logarithm: 5 (-1)k+1 Eqn. 1 Σ(-1)k+1 k In(1 + x) Eqn. 2 Equation 2 is the finite version that calculates an approximation for ln(1 + x). Instead of letting k go to infinity, it stops summing once k reaches some fixed value N. Task Develop a program that can compute ln(1 +x). Have it first ask the user to enter x...
What is the value of x in the equation x2 + 2x - ln(3-4i)=0 in rectangular form?
14. Find the equation of the tangent line to the graph f(x) = e24 ln(22) at the point (1,0).