-80 If g is a continuous function on [-80, 0] and g(t) dt = V41 Then the value of the integral 22 1+ dx is V41 О 59 O 57 O 58 O 60 O 56

Q: Let f be a function such that f' is continuous on [a, b] Show that a

A:

Q: 46. Prove that there is no continuous function f: R→ R such that, for each c E R, the equation f(x)…

A: Suppose such continuous function  f  exists.  For each c in R, the equation f(x)=c has exactly two…

Q: Prove that x² + ¹² +2111²2 = y 1112 where prime denotes differentiation w.r.t.s. 1 1+p¹² 4 p² o² + P

A:

Q: (5) Consider sets A and B with |A| = sand |B| = t, s≥ t≥1. (a) How many onto functions are there…

A: Sets, A and B with A=s and B=t, s≥t≥1.

Q: 3. Find a value of b so that the function x 1 f(x) = is continuous on (-0, 0).

A: A function is said to be continuous if Left Hand limit = Right Hand limit = f(a) In this question,…

Q: x² – 16 tate why f(x) is continuous on [1, 2]. x² – 9

A: f(x) is continuous on [a,b] if and only if  1. ∀x0∈(a,b)⊆R, limx→x0f(x)=f(x0) 2. limx→a+f(x)=f(a)…

Q: Sketch the bifurcation diagram for the ODE dx dt = rx + x³,

A:

Q: Suppose that for each i such that 1 ≤ i ≤ N one has [{ What is if N = 69? - f(t)dt = i N f(t)dt

A:

Q: Let f(x)=x²-2x on [-5, 1]. Use the IVT to determine if there is a solution to f(x) = 15 in the…

A:

Q: Suppose that f is a function which is integrable on the entire real line, and that a and b are real…

A:

Q: 31. Assume that f is continuous and 2x S f ₁ f(t) d² = 4 + x²" dt (a) Determine f(0). (b) Find the…

A: