Is the function m(x) 14(2*) a power function? If it is, write it in the form m(x) = kx² and enter exact values for k and p. If it is not a power function, enter NONE in both blanks. Do not leave any blanks empty.

Q: Find the intervals on which the function f(x)=x2+1x is increasing and decreasing.

A: We have to find the intervals on which the function f(x)=x2+1/x is increasing and decreasing

Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000+24563x -…

A: Gauss legendre quadrature gives the result of integration over a symmetrical limit of variavle x…

Q: Let f(x) %3D + rCI + 3x2 – 4x 15 - This function has: 1) A y-intercept at the point 2) x-intercepts…

A:

Q: Compute all the vertical asymptotes of the function x2 + 1 y = Зх— 2х2 Produce the graph of the…

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of the…

Q: find The domain of tHhe function fCメ=-

A: This is a function with a square root, so we will be using the concept of square root function for…

Q: Find a power function of the form y = axp going through the points (1, 5) and (6, 550)

A: Given Data: Point 1: x1, y1=1, 5 Point 2: x2, y2=6, 550 The form of the power function is, y=axp…

Q: find the intervals on which the function f(X) = x3+5x2-8x+1 is strictly increasing function

A:

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: Where is the greatest integer function f(x) = [[ x ]] not differentiable? Find a formulafor[' and…

A: We need to find where the greatest integer function f(x) = [[ x ]] is not differentiable. We know…

Q: 5. Find all the zeroes of the function f(x) = - 0.5x + 2.5 x+ 4.5 using False Position Method…

A:

Q: The number of citizens (N) of barangay Alapan, Imus Cavite in t years is predicted to increase and…

A: N(3)=7 (3)^4-4(3)^3+150(3)+17500

Q: Show that the production function f(x) = - () x³ + 10x² + 5x, –∞<x<∞ has both a concave and convex…

A: Given f(x)=-23x3+10x2+5x, -∞≤x≤∞ Consider the function f and its derivative f' can be differentiated…

Q: What is the upper bound of the function? f (x) = 4xª 25x² – 5x = 13 = 4r4 5х -13 --- Enter your…

A: Given : f(x) = 4x⁴ - 25x² - 5x - 13

Q: The domain of the function fal= ln (6-5x-x²) is

A:

Q: Consider the function x + 5x-6 S(x) = x2 +4x If it exists, give the equation of the horizontal…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: How do you solve question 4?

A: We are given the function, f(x) = x4 – 2x2 + 3x. Here, we need to show that the function f(x) has a…

Q: find the intervals on which the function f(X) = x3 +5x2 -8x+1 is strictly increasing function

A:

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

A:

Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x&gt;2

Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: (A) Find the absolute maxima and minima for ,3 Y = x + 5 over [-V2, v2). (B) Use the second…

A: y = x33-x+5y' = 3x23-1y' = x2 -1x2-1 = 0x2 = 1x = ±1

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.

A:

Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: Create a function f(x) in standard form with an oblique asymptote at g(x) = - x +4, hole at x = 2, a…

A: Use the following definitions, to obtain the required result. The vertical asymptote occurs when…

Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: Determine the degree of the following functions and their leading coefficients, and use this info to…

A:

Q: The hypotenuse of an isoscles right triangle is to be made into a circle C. Express the area A of C…

A: Given that: The hypotenuse of a right isosceles triangle is made into a circle C.Length of legs of…

Q: Consider the function: f(x)= 4x^2-9/-x^2+x+6. Find the equation of the vertical asymptote(s)(if…

A:

Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: An asymptote is a line or a curve that the graph of a function approaches. Vertical asymptotes occur…

Q: Find the function g such that fog = In (2x° +7) if f(x) = In x g(x) = %3D

A: Find the function g such that  f(g(x))= ln(2x3+7) and f(x) = ln(x) .

Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: 4. Using at 7 points, graph the function f(x)=2x 10-

A: First we find out the values of y at the different point of x and then make the graph.

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

A:

Q: Let f(x) = x2 – 6 and po = 3 and pi = 2. Use Secant method Example: to find p3.

A: Given: f(x)=x2-6, p0=3 and p1=2 To find: Value of p3 using Secant method.

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: Find the intervals on which the function f(x) =x3+5x2-8x+1 is strictly increasing function

A: ⇒f(x)=x3+5x2-8x+1⇒f'(x)=ddx(x3)+5ddx(x2)-8ddx(x)+ddx(1)⇒f'(x)=3x2+10x-8⇒f'(x)=3x2+12x-2x-8⇒f'(x)=3x(…

Q: Find the domain and range of the function: 1 1- V5 - x

A:

Q: Find and classify the extreme values of f(x)= 6x* –4x° over the interval [-2,2].

A: Given,  f(x)=6x4-4x6

Q: Determine the vertex of the function f(x)= lx-1l -1 How do I solve this?

A:

Q: Find the open intervals on which the function is increasing or decreasing.       y = x√(16 − x2)

A: The given function is , y=x16-x2

Q: n x(0)=0

A:

Q: Express the solution as a piecewise-defined function and think about what happens to the graph of…

A: (c) In this question, we have to use the property of the Heaviside unit step function about t=5.…

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.