9. (10 points) If a and b are positive numbers, check if а 23 + 2.2...
Check the equation to see if x = 9 is a solution 4x + 45 - x = 0 Is x=9 a solution? Yes O No Multiply, then simplify the product. Assume that all variables represent positive real numbers. (V6-6)(75 - 2) O A. V30 -276-675 + 12 OB. -7/30 + 12 OC. V30 + 12 OD. 130-875 + 12
(5) Show that if t,... ., are positive numbers such that ty+..+tn-1 and .. n E (0,1/2], then n. First check that the function f(x) In (1-)-n(x) is convex on the interval (0, 1/2). The inequality is due to Ky Fan.]
(5) Show that if t,... ., are positive numbers such that ty+..+tn-1 and .. n E (0,1/2], then n. First check that the function f(x) In (1-)-n(x) is convex on the interval (0, 1/2). The inequality is due to...
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Previous 1 2 3 4 un 6 7 8 9 10 Next Question 9 of 23 (1 point) View problem in a pop-up Refer to the functions r. p, and q. Find the function (p - r)(x) and write the domain in interval notation. Write any number in the answer as an integer or a simplified fraction. r(x) = 7x P(x)= x2 + x 9(x) = 6 - -X Part 1 out of 2 (p...
4. (10 points) Define g(3) in a way that extends g(x) = (x2 - 9)/(x – 3) to be continuous at x=3. 5. (10 points) If f(x) = (x -8)(1/2) , L = 5, c = 33, and epsilon = 1, find what delta has to be. 6. (10 points) Use the addition formulas to confirm if sin (ft/2 - x) = cos x is an identity. 7. (10 points) What is average rate of change of f(x) = x3...
9. (4 points) Does there exist a unique solution to the following IVP in a neighborhood of the initial condition? Find all constant solutions, if any. Specify the largest interval over which your constant solution is valid. Justify your answers. dy (ey-)(tan y) In(1 -),y(0)-3/2
9. (4 points) Does there exist a unique solution to the following IVP in a neighborhood of the initial condition? Find all constant solutions, if any. Specify the largest interval over which your constant solution...
Question 2 (7 points) If b is a positive real number with b + 1, then for all positive real numbers x and y we find log) (-) = logy(x) – log_(). True False
1. 10 points Find the positive solution of the equation cosx=0.3x (ie. the positive root of cosx-03x=0) using the bisection method with [0, 2] chosen as the initial interval. (a) Perform the first 3 iterations by hand and calculate the relative error for the last iteration; (b) Write a MATLAB code to find the root. The solution will be considered satisfactory if its relative error is smaller than 1%. Plot the relative error vs the number of iterations (must be...
-5 points SesPSET9 23 P052 A proton is projected in the positive x direction into a region of uniform electric field E = (-5.00 x 105) "WC at t-0. The (a) Determine the acceleration of the proton magnitude direction-Select-_ ▼ (b) Determine the initial speed of the proton direction ) Determine the time interval over which the proton comes to read m/s Need Help? WAIKER
a and b
Using definitions, check whether the following matrices are positive definite or positive semidefinite: 1 . 1 (2) 4-61. 8-6]. c-[--B 11. --G 9. -- 1 2 0 0 (b) A= 0 1 0 0 0 1 2 37 2 4 6 3 6 0 B= -1 2 D= -1 2 -1 9 -4 2 1 -1
The function f that satisfies f'(x) = 3x2 +1, f(2)=5 is Select one: a. f(2)=23+ O b. f(x) = 2 + 1 - 5 O c. f(x)=x3 ++2 d. f(x) = 3x2 – 7 O e. None of these. Let f(2) be a function that is continuous on 1, 7] with f(1) =3 and f(7) = 9. Then the Intermediate Value Theorem guarantees that Select one: O a. f'(2)=1 has at least on solution in the open interval (1,7). O...