uniformly continuous: 1) f(x) = (x*ln(x))/(1+x^(2)) on [0,infinity) 2) f(x) = (x)/(1+sqrt(x)) on [0,1] and [0,infinity) 3) f(x) = (sin^(2)(x))/(1+x) on [0,infinity)

Q: (x) = sin(x) ompute (5) + * (5 ) + x" (;) IT 2

A:

Q: It is known that the function f(x) = x-1 and g(x) = 1/x (where x is not equal to 0). Define the…

A: The detailed solution is given below Thank you

Q: Option 2: Problem Solving You wish to invest P10,000 for a period of 5 years. Which of the following…

A: The principal amount we have is ₱10000 and the time period is 5 years.  Therefore,  P=₱10000 t=5

Q: You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for a longel…

A: Given that You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for…

Q: 2. If f(x) = e*+ °, what is f"(x) ? x'+ 5

A: Given that f(x)=ex2+5 find out f11x

Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

A:

Q: If the derivative of the function f (x) is f'(x) = 18z2 + 2x + cos(z) + 6, then which if any of the…

A: Solve the first order differential equation by separation of variable and integration.

Q: It is known that the function f(x)=(x-2)*e^x+a*(x+1)^2 has two zeros. (I) Find the range of values…

A:

Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

A:

Q: can you explain if this statement is true or false if h(x)=f(g(x)), then h'(x)=f'(g'(x))

A:

Q: Suppose a² = 8, F(x) = f(x³), G(x) = (f(x))³ and: f(a) = 2, f'(a) = 6, f'(a³) = 2.

A:

Q: Find f' (x), if f(x) = sin(2x* – sin(x))

A:

Q: If f(x) = x(2^x), then f'(x) is equal to: %3D O 2^x (In 2+ 1) O 2^x (2 In 2 + x) 2^x (x In 2 + 1) O…

A: The given function is f(x)=x2x

Q: Find the derivatives of the follwing function f(x) -4 i)e log(3x+4) x>. 3 )(4+x*)e* ax+b iii.…

A:

Q: Sketch the graph of ƒ. Include all important features of the graph: such as x and y-intercept,…

A:

Q: If f(x) = f'(x) = ƒ'(1) = = 2 sin x 3 + cos x > 3 cos (1) () then 3 cos (x) + sin(x) (3 + cos x)² X…

A:

Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: f(x)= (ex+2 +1/e-x -14ex+1) / (xex-ex/x+1 +lnee^x) differentiate?

A:

Q: A Function f(x) is defined for all xr>0, and satisfies f(x2) = x3 for all x > 0.Show that f is…

A:

Q: X 1) f(x) = x6 + 4x + 2 I NIX - 3) f(x) = ln(x5 - cos²x) 5) f(x)=xsin x + πT x5 -√x - In 3 3 2)…

A:

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: f(x) = 2-x over 3x+1 find f'(x)

A: Consider the function: fx=2-x3x+1

Q: Let f (x) = ln (arccot (x*)). What is f' (x)? 4x3 (1+ x8 ) arccot(x4) 3x3 (1+x7) arccot(x4) 4x3…

A:

Q: Let f(x) = Find f'(x). (x + sec(x³ + 4))*

A:

Q: SS(1x) =/x-1 and g (x) = x++ 1. find (fog) (x) A) None E

A:

Q: Differentiate. f'(0) f(0) sin(8) 1 + cos(0) 1 + cos (0) cos(0) - sin(0)(-sin()) (1 + cos(8))²

A: .

Q: 1 If f(x) 1 then x2 f'(2) = |(2x^2+6x+12)/(x^5) Preview

A:

Q: f f(x) = sin¯' (x² – 2), what is f'(x)? o f'(z) = 2z o f'(z) = 2z V1-(2²-2)² o f'(z) = f'(x) 2z…

A:

Q: Find “a & b” if f(x)=x^2+4x+a x>0 ; f(x)=bx x<0 ; f(x)=f(0) x=0 is continuous at every

A:

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…