wire 20. David has available 400 yards of fencing and wisher to enclose a rectangular area. a) Express the area A of the rectangle as a function of the width x of the rectangle. A=-x²+200X

Q: The function H described by H(x)=2.75x+71.48 can be used to estimate the​ height, in​ centimeters,…

A: The function H described by H(x)=2.75x+71.48 can be used to estimate the​ height, in​ centimeters,…

Q: The zeros of the function ? = −3(? + 4)(? − 5)(? + 7) are ______, ______, and ______.

A: If the given function is, f(x) = −3(x + 4)(x − 5)(x + 7) Then to find zeros, each product term…

Q: A manufacturer of a microwave ovens believe that the revenue R , And dollars, that the company…

A: Comparing this equation with

Q: 3. Consider the function (x) = 5(x - 4) + 9. Determine A26).[ 3A]

A: Determine   f(2b) f(x) = 5(x - 4) + 9 f(2b) = 5(2b - 4) +9

Q: Evaluate the function. f (x) = –3x² + 9x – 8 Find f(5)

A:

Q: EX1: Draw the fowling function y=3x-5 when I-1<X<3

A: Given: The function: y=3x-5. The interval: -1&lt;x≤3. Calculation: Compute the value of y on the…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: 2x Use the function f(x) to answer the following questions. x² +2

A:

Q: Differentiate the function g(x) = 2x² + 5tanx. Answer g'(x) =

A:

Q: Vitaly and Sherry have 24 m of fencing to enclose a rectangular garden at the back of their house.…

A:

Q: C1. Apply Rolle's theorem for = 7x² – 42x + 35 over the function f(x) - the interval |1,5|. Justify…

A:

Q: Find the domain of the function.

A: Given: f(x)=(x+1)22x-1

Q: Find the Zero and its order for the function fcz) = 1-Tit zte? 1- Tit Zte

A:

Q: Q2// Find domain, range and sketch the following function : |x+ 2||

A:

Q: coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2,…

A: profit = 235x1 + 540x2 + 252x3 - 525000 we are given that x1 = 300 x2 = 600 x3 = 450

Q: Write the function in the form y = a(x - h)2 + k. 12) f(x) = 3x2 - 6x + %3D 8. %3D

A:

Q: Determine whether the function is increasing or decreasing. b(x)=4+6x

A:

Q: Given the function ,     y = 4x2 + 9 i- Find the difference quotient as a function of x and delta…

A: The difference quotient as a function of x and ∆x is: Difference quotient=f(x+∆x)-f(x)∆x The given…

Q: The total number of audiences who went to watch movies in a certain cinema from January to December…

A:

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2) . ƒ(x) = -6x1/3

A: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2) . ƒ(x) = -6x1/3

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

A:

Q: Assume a box has a square base and the length of a side of the base is equal to twice the height of…

A: Volume of cuboid= lbh  surface Area=2(lb+bh+hl)

Q: The altitude of a right triangle is 14 cm. Let h be the length of the hypotenuse and let p be the…

A: The altitude of a right triangle is 14 cm. h be the length of the hypotenusep be the perimeter of…

Q: 01. Plot the function (x) = x" -3x° +10x" – x - 2 for -65x56 , Draw the function as a solid blue…

A: x=-6:0.01:6;f=@(x)(x^4-3*x^3+10*x^2-x-2);for i=1:length(x)…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: The lumberyard is having 380 yd of fencing which means the perimeter of lumberyard is 380 yd. Length…

Q: per er The perimeter of a rectangle is 32 cm. Express as a function the area A of the rectangle in…

A: Please refer to the image below

Q: Determine the roots of the function f(x) = (52" – 6)² – (5²" – 6) – 12. -

A:

Q: The task is to determine and sketch the domain of the function In (b – a? + 4) g(a,b) = V36 – 4a? –…

A:

Q: 4. Express the following function in standard form using completing the square: f(x) = - 2x - 8 x-1…

A:

Q: Q4: draw function: z = x2 + y² + v200

A: Given function, z=x2+y2+200

Q: 4) Plot the function V2 – x² , also find the domain and range of the function.

A: Let y = 2-x2, then we have to find the values of x that make the expression meaningful and the…

Q: 5x + 410 The average cost c (in dollars) to manufacture x T-shirts is given by the function c =…

A:

Q: Arectangular garden is to be fenced off with 150 ft of fencing material. If x is the length of the…

A: Given that a rectangle garden is to be fenced off with 150 ft. Given that 'x' is the length of the…

Q: (b). Determine the values of a, b, c for which the function

A: The limit of a function at a point is equal to the value of the function when the value of the…

Q: The cost C, in dollars, of a one-day car rental is modeled by the function C(x) = 0.35x + 45, where…

A: C(x) = 0.35x + 45

Q: Senior High School uses the function f(s), where s is the number of students, to model how many…

A:

Q: Determine whether the function is increasing or decreasing.   b(x)=5−6x

A: Monotonic function→ A function f(b) is monotonicaley decreasing on Rif V x,x2 ε R , is x1 &gt; x2…

Q: 6. State the domain of the function f(x)=logs(39–13x). Write the domain in interval form.

A: Logarithms

Q: Differcntiate the function y = V scc 2: + 2021

A:

Q: Rick's lumberyard has 240 yd of fencing with which to enclose a rectangular area. If the enclosed…

A:

Q: D( (x? + 2x + 3 )87 )

A: Given : Dx2 + 2x + 387

Q: Evaluate the function. f(x) = 4x² + 7x + 18 Find f(-9)

A: Given,f(x) = 4x2+7x+18f(-9) = ?

Q: The number of hours that people in the Philippines spent using the internet from 2000 to 2020 can be…

A:

Q: Consider the function f(x) = 3x² + 6x – 5. %3D (a) What are a, b, and c? a = C = (b) Find - b 2a

A: Compare the given function with tha standard quadratic function than answer each parts.

Q: a) Expand the function f(x) = –3 (x + 5) (x – 4) (x – 5) f(x) = b) What are the zeros of the…

A: Topic = Functions

Q: The area of a metal frame being built by a construction company can be represented by the function…

A:

Q: Q2: Define whether y represent as a function of x a) -5x? + y = 12 b) -2x + y? = 3

A:

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.