F(x)=(lnx)²/2x
give f '(x)=??

Answers

Answer 1

Answer: $f(x)=((lnx)^2)/(2x);\ D_f:x\in\mathbb{R^+}\n\nuse:\left[(f(x))/(g(x))\right]'=(f'(x)g(x)-f(x)g'(x))/([g(x)]^2)\n\nf'(x)=([(lnx)^2]'\cdot2x-(lnx)^2\cdot(2x)')/((2x)^2)=(*)\n\n\ [(lnx)^2]'=2lnx\cdot(1)/(x)=(2lnx)/(x)\n\n(2x)'=2\n\n(*)=((2lnx)/(x)\cdot2x-(lnx)^2\cdot2)/(4x^2)=(4lnx-2(lnx)^2)/(4x^2)=([4lnx-2(lnx)^2]:2)/(4x^2:2)=(2lnx-(lnx)^2)/(2x^2)$

Answer 2

Answer: $f(x)=((\ln x)^2)/(2x)\n\nf'(x)=(2\ln x\cdot (1)/(x)\cdot2x-(\ln x)^2\cdot2)/((2x)^2)\nf'(x)=(2\ln x(2-\ln x))/(4x^2)\nf'(x)=-(\ln x(\ln x-2))/(2x^2)$

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A hiker sees a tree on the river’s edge directly opposite her. She walks along the riverbank for 120 feet and notes that the angle formed by her path and a line to the tree measures 70 degrees. How wide is the river?

Answers

please read the attached file

Subtract these polynomials. (3x2 + 3x + 3) - (x2 + 2x + 3) =

A. 2x2 + x
B. 2x2 + 5x
C. 2x2 + 5x + 6
D. 2x2 + x + 6

Answers

Answer:

$2x^2+1x$

Step-by-step explanation:

Subtract these polynomials.

$(3x^2 + 3x + 3) - (x^2 + 2x + 3)$

To subtract, we multiply negative sign inside the second parenthesis

$3x^2 + 3x + 3-x^2 - 2x - 3$

To subtract the polynomials we combine like terms

$3x^2-x^2+ 3x- 2x+3-3$

$2x^2+1x$

3x^2 -x^2= 2x^2
3x-2x=x
3-3=0

The answer is A.

Plz help me

10.2666667 as a fraction

Answers

I'm pretty sure that would be 10 13/50 after reducing.

What is the height of a triangular plate if its area is 1225 square centimeters and the length of its base is 35 centimeters, and how can you calculate this height using the formula for the area of a triangle?

Answers

Answer:

height = 70 cm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = $(1)/(2)$ bh ( b is the base and h the height )

given b = 35 and A = 1225 , then

1225 = $(1)/(2)$ × 35 × h

1225 = 17.5h ( divide both sides by 17.5 )

$(1225)/(17.5)$ = $(17.5)/(17.5)$ h , that is

70 = h

then the height of the triangle is 70 cm

R=wp solve for p ...........

Answers

The required simplification for the variable p is p = R/w.

Given that,
To determine the simplification of the given expression R=wp for p.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
R=wp
dividing both sides by w
R / w = wp / w
Since on the right side, both the w on the numerator and in the denominator will be eliminated.
p = R / w

Thus, the required simplification for the variable p is p = R/w.

Learn more about simplification here: brainly.com/question/12501526

#SPJ2

$R=wp\n\nwp=R\ \ \ \ |divide\ both\ sides\ by\ w\neq0\n\n\boxed{p=(R)/(w)}$