Question

Continuity and the derivative: 1A) Show that there exists a real root of the equation in...

Continuity and the derivative:

1A) Show that there exists a real root of the equation in this interval: cos(root x) = e^x-2 [0.1]

1B) If f(x) is a continuous function (on the reals) that has only one root at x=2, and if f(4)>0, can f(3)<0? Explain.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A) Show that there exists a real root of the equation in the given interval cos...
A) Show that there exists a real root of the equation in the given interval cos (roots)=e^x-2 [0.1] B) For the piecewise function, calculate the unknown values that allow the functions to be continuous everywhere. - g(x)= 1. Ax-B, where x is less than or equal to -1 2. 2x^2+3Ax+B, where x is bigger than -1, and less than or equal to 1 3. 4, where x is bigger than 1
1a. Using the e − δ definition of continuity, show that the absolute value function f(x)...
1a. Using the e − δ definition of continuity, show that the absolute value function f(x) = |x| is continuous at every point a. 1b. Use the e−δ defintion of continuity to prove that any linear function f(x) = mx+b (with m, b constants) is continuous at every point a. (You should be able to find a formula for δ in terms of e, and the slope m.)
Show that f(x)=x4+4x-2 has exactly one real root in the interval [0, ∞)
Show that f(x)=x4+4x-2 has exactly one real root in the interval [0, ∞)
PLEASE PLEASE SHOW YOUR WORK 1a. Solve the equation: y = 3x2 -2x - 5 1b....
PLEASE PLEASE SHOW YOUR WORK 1a. Solve the equation: y = 3x2 -2x - 5 1b. Now use f(x) = x3 + 2x2 -5x - 6 to list all of the potential rational zeros of this function AND find the real zeros of f algebraically (show synthetic division at least once) and use the to factor f.
Suppose f(x)=x6+3x+1f(x)=x6+3x+1. In this problem, we will show that ff has exactly one root (or zero)...
Suppose f(x)=x6+3x+1f(x)=x6+3x+1. In this problem, we will show that ff has exactly one root (or zero) in the interval [−4,−1][−4,−1]. (a) First, we show that f has a root in the interval (−4,−1)(−4,−1). Since f is a SELECT ONE!!!! (continuous) (differentiable) (polynomial)   function on the interval [−4,−1] and f(−4)= ____?!!!!!!! the graph of y=f(x)y must cross the xx-axis at some point in the interval (−4,−1) by the SELECT ONE!!!!!! (intermediate value theorem) (mean value theorem) (squeeze theorem) (Rolle's theorem) .Thus, ff...
Show that the equation x+sin(x/3)−8=0 has exactly one real root. Justify your answer.
Show that the equation x+sin(x/3)−8=0 has exactly one real root. Justify your answer.
Use the intermediate value theorem to show that there is a root of the given equation...
Use the intermediate value theorem to show that there is a root of the given equation in the specified interval 1. X^4 + x - 3= 0, (1,2)
show that the equation x^3 + e^x =0 has exactly one root
show that the equation x^3 + e^x =0 has exactly one root
Show that the equation x3 − 18x + c = 0 has at most one root...
Show that the equation x3 − 18x + c = 0 has at most one root in the interval [−2, 2].
Use Newton's method to approximate the root of the equation to four decimal places. Start with...
Use Newton's method to approximate the root of the equation to four decimal places. Start with x 0 =-1 , and show all work f(x) = x ^ 5 + 10x + 3 Sketch a picture to illustrate one situation where Newton's method would fail . Assume the function is non-constant differentiable , and defined for all real numbers
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT