f(x) is a positive continuous function on R what does the function F(x)= | f(t) dt a represent (for x>a )?

Q: Partial derivatives Let f(x, y) = x³ – y² + 4. af a. Compute af an b. Evaluate each derivative at…

A: First we differentiate with respect to x Then we differentiate with respect to y

Q: Use e – 6 definition and show that the function 4x² – y? if (r, y) # (1, –2) 2r + y f (r, y) = • 4,…

A:

Q: The function F(x) : te dt is cocave down for all x > 0.

A: Proceed as shown below...

Q: Q4) let f be non-negative continuous function of [a, o]& k> 0 is constant. IF t f(t) a holds, then…

A: Given f is a non-negative continuous function on [a,∞) and k>0 is a constant. Suppose,…

Q: |- Let f(x, y) = y²e* +y find fryy

A:

Q: If f(x) = |"(9 – t2)e dt, on what interval is f increasing? (Enter your answer using interval…

A: The function is fx=∫0x9-t2et2dt By second fundamental theorem of Calculus, f'x=9-x2ex2. Set the…

Q: (b) Over which interval is f negative? f<0 over help (intervals)

A:

Q: (b) A bounded, 3B > 0 such that |f(x)| < B Vx € (0,1), continuous function on (0,1) with unbounded…

A:

Q: Find F as a function of x and evaluate it at x = 5, x = 7, and x = 9. F(x) = F(5)= F(7) = F(9) =…

A:

Q: Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

A:

Q: Differentiate the function. c² – z² c2 + z? H(z) = In

A:

Q: Asap plz

A:

Q: Show that the function f defined by (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y is…

A:

Q: Exercise 5: Compute / f(x)g" (x) – g(x)f"(x) dx.

A: Write the integration using two parts

Q: A continuous function f satisfies the equation 1 f (x) = x – t+ 2 f(t) dt 0, For all x e [-1, 3].…

A: We have to use leibiniz rule of  differentiating definite integral  d∫f(x)g(x)h(t)…

Q: Consider the function given by z-y+2/7–2/9 se r+ y, x>0, y> 0 f(r, y) = k(x), se ¤ = Y n the…

A: function is continuous

Q: Left- and right-continuity a. Is hlx2 = Vx - 9 left-continuous at x = 3? Explain. b. Is h1x2 = Vx -…

A: To Determine: find left hand and right hand continuity at x=3 and explain this Given: we have a…

Q: show that F(X<1|Y<y) + P(X <1) for some z, y.

A: dependent events:  Two or more events are said to be dependent if occurrence of one affects the…

Q: Let f(x) = 4 – a?, a > 0 f- (x) =

A: Given:- f(x) =4-x2  To find:- f-1(x)

Q: Jx+1 State the interval(s) where the function f(x)=- 2x+ x² is continuous.

A: The given function is,

Q: Find the Green's function G" + k²G = 8(x − s), G(0, s) = 0, Gʻ(L, s) = 0

A:

Q: \lim_{x\rightarrow 7}\frac{x^2-5x-24}{x^2-4x-32}x→7lim​x2−4x−32x2−5x−24​

A: find out the limits of  a)limx→7 x2-5x-24x2-4x-32 b)limx→7x2-4x-32x2-5x-24

Q: Let g(x) = | F(t) dt, where fis the function whose graph is shown. y f 12 1 (a) Evaluate g(x) for x…

A: Given The given integral is  and the given graph is  Apply formula  The area of the right angle…