show that the equation 2x+2 cos x+5=0 has exactlly one real root

Expert Solution

milcah answered 2 years ago

Show that the equation has exactly one real root. 3x + cos(x) = 0

Find the value of k for which the equation 3x2+2x+k=0 has distinct and real root.

Show that the equation 4x3 + 2 = 5x2 + 2x has at least one solution...

Show that the equation 4x3 + 2 = 5x2 + 2x has at least one solution on the interval [0,1]. Then, show that the equation has at most one solution on the interval [0,1]. Lastly, show that the equation has at exactly one solution on the interval [0,1]. Thanks for the help in advance!

Solve cos^2(x)-cos(x)=0 for x,

Solve the initial value problem dy/dx = −(2x cos(x^2))y + 6(x^2)e^(− sin(x^2)) , y(0) = −5...

Solve the initial value problem dy/dx = −(2x cos(x^2))y + 6(x^2)e^(− sin(x^2)) , y(0) = −5 Solve the initial value problem dy/dt = (6t^5/(1 + t^6))y + 7(1 + t^6)^2 , y(1) = 8. Find the general solution of dy/dt = (2/t)*y + 3t^2* cos3t

The Polynomial f(x) = X^3 - X^2 - X -1 has one real root a, which...

The Polynomial f(x) = X^3 - X^2 - X -1 has one real root a, which happens to be positive. This real number a satisfies the following properties: - for i = 1,2,3,4,5,6,7,8,9,10, one has {a^i} not equal to zero - one has [a] = 1, [a^2] = 3, [a^3] = 6, [a^4] = 11, [a^5] = 21, [a^6] = 7, [a^7] = 71, [a^8] = 130 (for a real number x, [x] denotes the floor of x and {x}...

Is the function g(x) = (x^2)cos(x) A solution to the differential equation (x^2)y''- 2y=0

Are {4cos^2(x),cos(2x),5} linearly independent? prove without wronskian

Use Rolle’s Theorem to show that the equation ln(1 + x 2 ) + 2x =...

Use Rolle’s Theorem to show that the equation ln(1 + x 2 ) + 2x = 0 has at most one solution. Provide a full explanation, justifying each step in your argument.

3. For the inhomogeneous differential equation x ′′ + 2x ′ + 10x = 100 cos(4t),...

3. For the inhomogeneous differential equation x ′′ + 2x ′ + 10x = 100 cos(4t), (a) Describe a system for which this differential equation would be an appropriate model. (b) Find the general solution, x(t), to the equation. (c) Does the general solution have the expected terms? What behavior do the terms describe? (d) Find the specific solution that fits the initial conditions x(0) = 0 and x ′ (0) = 0. (e) Plot the solution and discuss how...

Question