this fact to prove a [3] Show that √ f(x)dx = √(f(a-x) dx. Use continuous function the interval [0,a], I = √ √ Scott (1-x) dx = on о f(x) that for any a 2 (Hint: using the first part we have I foxndx-^] fca-x) dx =0, apply this formula f(x) し far g(x) = f(x)+f(a-x) then ' you might need to add and subtract f(a-x) to the numerator and simplify)

Q: Let f(x)=7cosx what are the x intecepts of f? show as an equation

A: The objective of the question is to find the x-intercepts of the function f(x) = 7cos(x). The…

Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}

A: We can find the range as below.

Q: 3) Let f'be the function given by (x-1)(x²-4). For what positive values of a is f continuous for all…

A: We have cheek the positive values of a is F continues for all real number

Q: if  f(x) =sec x  , find f n ( pie / 4 )

A: Given that, f(x) = sec x Differentiating above with respect to x we get, f'(x) = sec x tan x…