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assistance please westion 1 4 points Sav If f) is a continuous function on [3,7) and...
a. Determine whether the Mean Value Theorem applies to the function fx)xon the interval [3,7 b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. c. Make a sketch of the function and the line that passes through (a,f(a) and (b.f(b). Mark the points P (if they exist) at which the slope of the function equali of the secant line. Then sketch the tangent line at P A. No, because the tunction...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
4. Define the function f: 0,00) +R by the formula f(x) = dt. +1 Comment: The integrand does not have a closed form anti-derivative, so do not try to answer the following questions by computing an anti-derivative. Use some properties that we learned. (a) (4 points). Prove that f(x) > 0 for all x > 0, hence f: (0,00) + (0,0). (b) (4 points). Prove that f is injective. (c) (6 points). Prove that f: (0,00) (0,00) is not surjective,...
answer all please! 1) Property of inverse functions If f(x): (-1,4 ] → [3,7) → this means f(x) is a function with domain (-1,4 ) and range (3,7] And f(x) is known to have an inverse function; f(x) Find the domain and range of f(x) f-1(x): HINT: x by y's 2. Inverse functions of well known functions – find the inverse function-use proper notation - an inverse function is not a single sided express if f(x) =x, the inverse function...
(1 point) Let f(a) be a function that is defined and has a continuous derivative on the interval (2,00). Assume also that f(3) = 6 \f (2) < 208 + 2 and f(xv)e 3/6 da = 5 Determine the value of $'(x)e-7/5 da
4. f(x) is a continuous function on [0, 1] and So f (x)dx = a, where a is constant. Evaluate the following double integral f(x)f(y)dydx. (Hint: Change the order of the integration and use the property of the double integral, so that you can apply Fubini's theorem.)
please be sure of the answers as its a confusing topic , i have a test tomorrow based on it . please answer all the question . (A) needs a number line . 2. Cat # s fx) ya -7-432 The figure above shows the graph of f', the derivative of the function , f, for -7
be a continuous random variable with probability density function 3. Let for 0 r 1 a, for 2 < < 4 0, elsew here 2 7 fx(x) = (a) Find a to make fx(x) an acceptable probability density function. (b) Determine the (cumulative) distribution function F(x) and draw its graph.
3. Determine the set of points at which the function f(x,y) = is continuous. (4 P.
number 4 2 Construct a function that is continuous at exactly four points. 3 Construct a function that is continuous exactly at -3,5 and 18. 4 Prove that there is no continuous function f: 0,1] → R that is onto. 5 If f : [1.71 → R is a continuous function such that f(1) = 3 and for every