Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: 8 f (x) = 2"-5 + 3, g(x) = 2x – 5, h(x) = + 10

Q: Find the domain of the function F(x)= 11/x-15

A: Given query is to find the domain of the function.

Q: 9. Use the product rule to find and state the rule for dif- ferentiating a product of three…

A: The product rule of differentiation is given by,…

Q: Given the function f(x) = 8x² + 4x – 2. Calculate the following values: f(x + 1) = f(-x) =

A: Given,         f(x) = 8x2+4x-2  We need to find f(x+1) and f(-x).

Q: if x s2 (2x – 3 if x> 2 b. g(0) 5. g(x) = %3D a. g(-3) C. g(2) d. g(3) e. g(5)

A:

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: Shift the function f(x) = x² + 2x + 1 two steps rightward and one step upward. Graph the original…

A:

Q: The function f (x) = x4 +x2 +x is an evenfunction. Justify your answer.

A: fx=x4+x2+x A function fx is said to be an even function if f-x=fx.

Q: s(x)= Vzx-10 С.

A:

Q: Find the Domain and Range of the functions: +)-7 y= -5+4 cot(x- 9") -2tanţ(5x+T) y=3 tam ( y =

A: Find the attachment

Q: What is the domain of the function f(x) = Vx - 3x²?

A: To find the domain of the function fx=x-3x2.

Q: For the function fox)= 8x-5X+8, find f"(x). Then find f"(0) and f"(2). f"(X)= (Simplify your…

A: we have to find

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Find the x-coordinate of the point where the function f(x) = x5 5 - x4 7x3 13x² + - 6x 4 3 2 has a…

A: Given Find first derivative f'(x).Now equate f'(x) = 0.The x-coordinates of the stationary points…

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000 +…

A: Given the function, f(x,y)=-2000+0.004(x-1000)2+0.001(y+1000)2 in the direction u→=(0,-1000) The…

Q: f(x) = 2x4 + 2x³ – x² + 2x +3 and g(x) = x + 1 find (승)(2) and (-4).

A: fgx=f(x)g(x)=2x4+2x3-x2+2x+3x+1

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

A:

Q: Find the difference of the two functions A(x)=1x-6 and B(x)=x+8x-2 at 6

A:

Q: Calculate the following values:

A:

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.