Find a and b to make function continuous
WebFeb 14, 2024 · Now plug in x = - 2 in the top derivative rule and we get 120. (This is technically lim x→-2- f (x).) So a = 120. Then we go back to the given function rules for f (x) and plug in x = - 2 and again set them = , to make the function continuous. When we plug - 2 in for x in the top rule we get - 86. So, 120x + b = - 86 when x = -2. WebDec 25, 2015 · For f (x) to be continuous at x = 3, the one sided limits of f (x) at x = 3 must be equal. lim x→3- f (x) = lim x→3- (ax 2 -bx+3) = 9a-3b+3 lim x→3+ f (x) = lim x→3+ (2x …
Find a and b to make function continuous
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WebMath Calculus Calculus questions and answers Let f (x) be the function f (x)=⎧⎩⎨⎪⎪3x−1ax+b6x−1for x<−1,for −1≤x≤12,for x>12 Find the value of a, b that makes the function continuous. (Use symbolic notation and fractions where needed.) This problem has been solved! Web− 1 = − a + b If you do this with the right sided limit, you'll see that you end up with − a + b = − a + b, which doesn't really give you any useful information. Now you want to do the same thing to make sure f is continuous at x = 1 2. First the right sided limit: lim x → 1 2 + f ( x) = f ( 1 2) lim x → 1 2 + x − 1 = a ( 1 2) + b 2 = 1 2 a + b
WebIf the function f (x) is continuous on Real number, then find values of b and c. A: Click to see the answer Q: 1. (Find the value of a so that the function f (x) is continuous everywhere.f (x) = {2x+a if x<1… A: Given: Q: Let f (x) be a continuous function on (-00,0) and f" (x) = (-4x + 5)e4x. The function f (x) has an… A: Click to see the answer WebMar 16, 2024 · Determine the values of ‘a’ and ‘b’ such that the following function is continuous at x = 0: f (x) = {x + sin x / sin (a+1)x, if - π < x < 0, 2, if x = 0, 2 e sinbx - 1 /bx, if x > 0 This is a question of CBSE Sample …
WebSep 10, 2024 · The value of a and b that make f continuous everywhere are; A = 7/12 and B = 13/2. What is a continuous function? A function y =f (x) is said to be continuous at x = x_0 if: Left sided limit of the function on x = x_0 exist and are finite. Right sided limit of the function on x = x_0 exist and are finite. WebOct 10, 2024 · Your argument is true, but also note that for the function’s derivative to be continuous the function must be continuous itself. Therefore you get another …
WebAug 1, 2024 · Find values of a and b that make the function continuous everywhere. calculus 47,914 Solution 1 I've seen this problem before and it looks like this may be the function you are trying to make continuous here: f(x) = {x2 − 4 x − 2 if x < 2 ax2 − bx + 1 if 2 ≤ x < 3 4x − a + b if x ≥ 3
WebOct 28, 2015 · Find the constants (a, b or c) to make the function continuous. f (x)= {. x^-1 if x<-1 ax+b if -1 ≤ x ≤ 1/2 x^-1 if x > 1/2. } I know that if you had only two function, you would set them equal to each other, plug in and solve for the variable, but here I don't know how I could do that. calculus. continuity. hello kitty animation memeWeb'A if B' can be rewritten as 'if B, then A' since the 'if' is being applied to statement B. 'A only if B' means 'if not B, then not A'. This is the effect of the word 'only'. Finally, 'if not B, then not A' is equivalent to 'if A, then B.' These two statements … hello kitty arcillaWebWhen a function is continuous within its Domain, it is a continuous function. More Formally ! We can define continuous using Limits (it helps to read that page first): A function f is continuous when, for every value … hello kitty animated gifWebFind the values of a and b that make f continuous everywhere. f(x) = a=? b=? Expert Answer 1st step All steps Final answer Step 1/2 A function y = f ( x) is called continuous at a point x = c if View the full answer Step 2/2 Final answer Previous question Next question This problem has been solved! hello kitty animal crossingWebSep 8, 2024 · Find the values of a and b that make the function f(x) continuous and differentiable at x=1. Log in Sign up. Find A Tutor . Search For Tutors. Request A Tutor. … hello kitty aphmau mmdWebAnother way to look at this is that the value of the function at x = -2 is only ambiguous because we are dividing by 0 when x = -2. If you simply take the limit of the function as x --> -2, the limit = 3/2. What is being done here is assigning the limiting value to the point that is ambiguous because we have zero divided by zero when x = - 2. hello kitty anime girlWebAug 1, 2024 · Solution 1. I've seen this problem before and it looks like this may be the function you are trying to make continuous here: f(x) = {x2 − 4 x − 2 if x < 2 ax2 − bx + … hello kitty ankle tattoo