Questions on the concepts of continuity and continuous functions in calculus are presented along with their answers. Answer : (A) . lim (f + g)(x) = lim f(x) + lim g(x) and since the two functions are continuous then the limits are equal to the values of the functions at x = 3. Hence (as x approaches...Answer to For what value of the constant c is the function f continuous on (-infinity, infinity)? f(x) =cx2 + 8x if x < 3 =x3 ? cx...The best videos and questions to learn about Continuous Functions. Get smarter on Socratic. For what value of the constants A and B is the function #f(x)=x^2+bx+1# continuous for all X if x < 5?An automobile tire is rated to last for . What is the estimated number of revolutions the tire will make in its lifetime given that its diameter is . If the angle is in standard position and is a point on the terminal side of , and is the distance from the origin to , then.Given that `f(x)` is a function which of the following statements are true:i If `f` is continuous... 1 Educator Answer. Use the graph of f to state the value of each quantity, if it exists. 1 Educator Answer. Find the critical values of the function f(t)=t*square root(1-t), if t<1?
Solved: For What Value Of The Constant C Is The Function F...
Well, if a function is continuous at a point (here, evidently, the only point of problem is x=2!), then both its one-sided limits must equal the function value AT x=0. For a given c, the function value f(2) is given by the lower expression: [tex]f(2)=2^{3}-c*2=8-2c[/tex]. Now, within its domain, the upper...2. For what value of the constant c is the function f continuous on (−∞, ∞)? Solution: For the function f to be continuous on (−∞, ∞) it is sufcient to have continuity at x = 3, which holds provided.A function is continuous when its graph is a single unbroken curve that you could draw without lifting your pen from the paper . In its simplest form the domain is all the values that go into a function. We may be able to choose a domain that makes the function continuous.View Answer. For what value of c is the function f(x) = { c/x2 if x ? 1 0 otherwise a probability density function? Straight-line depreciation of $287,492 is claimed before the property is sold on February 23, 2015, for $850,000. What are the tax consequences of the sale of realty if...
Continuous Functions - Calculus | Socratic
For the function to be continuous, there can't be any point where the values "jump". So as x is approaching 5 from below, f(x) should be approaching the same point as when x is approaching 5 from above.To find out if a function is continuous at point a, you have to find the limit and the value of a when plugged into the function. Then if these two equal You seem to be a little confused. You want to find all value(s) of 'a' for which the left and right limits are equal at -1, and such that the function's value...In lessons on continuous functions, such problems (logical jokes?) tend to be common. They are constructed to test the student's understanding of the definition of continuity. Such functions have a very brief lifetime however. After the lesson on continuous functions, the student will never see their...Find all values xequals=a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist. k(x)=2 e (raised to the...Construct a triangle of sides 3cm,4cm,5cm and then a triangle similar to it whose sides are 3/2 of the corresponding sides of the first triangle. .what is blood. 1/2 or 5/7 ke bich 4 parime Sankhya batao. Laspeyer's index number does not specify a) panache's method b)...
A function is continuous if its graph is a attached curve with no jumps, gaps, or holes. Hence for the function f(s) to be continuous at the level s=8 the place the two separate expressions (s2-c and cs+4) meet, we should have:
s2 - c = cs + 4
Otherwise there shall be a gap or hollow at s=8. Plugging in s=8, we get:
(8)2 - c = 8c + 4
Solve for c.
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