please do all questions c:
12&14 solve for inequality
f x( ), state whether the intermediate-value theorem can be used to show there is a solution for the equation f x() 0 = on the indicated interval. Explain why.
verify that the intermediate-value theorem applies to the indicated interval and find the value of c guaranteed by the theorem
please do all questions c: 12&14 solve for inequality f x( ), state whether the intermediate-value...
Solve the inequality f(x) <0, where f(x) = - x2(x + 4), by using the graph of the The solution set for f(x) <0 is. (Type your answer in interval notation.) function. Ay 4- 2- х 500 -8 -6 -4 -2 2 4. 6 -8- -104 -12-
*5. A function f defined on an interval I = {x: a <x<b> is called increasing f(x) > f(x2) whenever xi > X2 where x1, x2 €1. Suppose that has the inter- mediate-value property: that is, for each number c between f(a) and f(b) there is an x, el such that f(x) = c. Show that a functionſ which is increasing and has the intermediate-value property must be continuous. This is from my real analysis textbook, We are establishing the...
Please do 10 & 11 Use Intermediate Value Theorem lial p(x) = x4 +7x = 9 has two real root. 8. df Open with Google Docs Then use your calculator to find the ro 9 Let f(z)2with € [0, 00). Find a positive mumber e and two sequences {xn} and {yn} such that lim-(nn) = 0 but |f(xn)- f(Yn)| 2 e. Then conclude that f(x) = x2 is not uniformly continuous on [0, ao) [0, oo). Show that f is...
I need answers 11, 12, 13, 14, 15 Question 11 Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? x f(x)= on the interval [1,10]. If it satisfies the hypotheses, X +5 find all numbers c that satisfy the conclusion of the Mean Value Theorem. Question 12 Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers cthat satisfy the conclusion of Rolle's Theorem. f(x)...
Please solve #13 and #17. In Exercises 13-16, use the shell method to set up and evaluate the integral that gives the volume of the solid generated hy revolving the plane region about the x-axis. 14.,-2-х 13.) у х 12 -2十 In Exercises 17-20, use the shell method to find the volume of the solid generated by revolving the plane region about the indicated line. x2, y 4x x2, about the linex-4 y In Exercises 13-16, use the shell method...
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t is measured in seconds and sin meters, (a) Find the velocity of the particle in terms of t. (b) Find the velocity and the speed at time t=1. (c) When is the particle at rest? (d) When is the particle moving to the right and when is it moving to the left? (e) Find the acceleration of the particle at t. (10pts) 2. Evaluate...
I-1 12. Determine whether The Mean Value Theorem can be applied to f(x) = 1+1 on the interval (-2, -1). If The Mean Value Theorem can be applied, find all values c that satisfy the conclusion of the theorem.
neatly please Find the average value of f(x) over the interval and all values of c such that f(c) = faverage. f(x) = (x)/V(x2 + 9); on interval [0, 4].
1-8 please 1. Find the value c that satisfies Rolle's Theorem for f(x) = cos x on A / B./2 C. D. E. 0 F. None of the above 311/4 2. The function f is graphed below. Give the number of values that satisfy the mean value theorem on the interval (-6,6). A. 0 B. 1 C. 2 D. 3 E. 4 F. None of these Page 1 of 5 1. The graph off) is shown. Find the value(s) where)...
Solve please [4] QUESTION 2 (14) 2.1. Solve for x and y in the equation (1 +D(2- y) = x + 4 2.2. Use De Moivre's Theorem to determine 3-4p?cacis.30"); leave your answer in the form rcise. 2.3. Use De Moivre's theorem to calculate the square roots of 1 +j. [5] (5) QUESTION 3 (14) 3.1. The measurement of 60 bolts gave the following frequency distribution. 30.2 30.4 30.6 30.8 31 31.2 31.4 Length x (mm) Frequency 3 7 12...