The area of an equilateral triangle with sides of length x is given by the function V3 defined by A(x) = 4 (a) Find A(6x), the function representing the area of an equilateral triangle with sides of length six times the original length.(b) Find the area of an equilateral triangle with side length 6. Use your formula for A(6x) found in part (a). A(6x) =| (Type an exact answer.)

Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

A:

Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

A:

Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

A:

Q: Suppose that the monthly revenue in thousands of dollars, for the sale of x hundred unit of an…

A: Given:- R = 40x2e-0.4x+30 Suppose that the monthly revenue in thousands of dollars, for the sale of…

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A:

Q: The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x +…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: find the derivative  f(x)= (2x-3)6(3x+4)

A: Given function is f(x)=(2x–3)^6(3x+4). Formulas used:

Q: Find the second derivative. f(x) = 6x10 − 17x5 − 12x3 + 5

A:

Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately…

A:

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

A:

Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

Q: Juanita wishes to have a rectangular garden in her backyard with an area of 64 ft2. Letting x denote…

A: we know that area of rectangle =  length × width

Q: A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: Find the third derivative of the function f(x)=2x5-7x4+4x2-8x+11.

A: on doing diffrentiation with respect to x we will get

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

A:

Q: зах (х+2)/x2+4x+3

A: Please refer the attached image for complete solution. THANK YOU.

Q: The gates of an amusement park are closely monitored to determine whether the number of people in…

A: We will find what (e-l) (4) means in this situation as following.

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: Find the derivative:   f(x) = (4x3-7x+9)5

A: Given:  fx=4x3-7x+95 To Find: The derivative of the given function

Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A:

Q: 3. Find the exact area of the piece of land in San Francisco, Surigao del Norte which is bounded by…

A: Topic:- application of integration

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: 1. The profit of a cell-phone manufacturer is found by the function y= -2x+108x+75 where x is the…

A:

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

A:

Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

A:

Q: Find the derivative f(x)=2x^5(√2x^5+5x^4)

A:

Q: Find the absolute maximum & miniumum of the function f(x) = x^4 − 8x^2 on the interval −1 ≤ x ≤ 3.

A:

Q: The revenue from the sale of x miniature blenders is given by R(x) = 50x – 0.4x2 dollars. The total…

A: Determine the interval of sale for which profit is increasing and decreasing

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

A:

Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: Differentiate the function. y = ln (square root of 5+8x/5-8x)

A: Given that: y=ln5+8x5-8x

Q: f '(x) by using the definition of the derivative. f(x) = 4 – 6x2

A:

Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

A:

Q: The weekly cost of producing x electric drills is given by the function C(x)=2400+ 28x+0.25x².

A: Note : As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: Does the graph of y = sqrt(x) - ln x, x> 0, have an inflection point? Try to answer the question…

A: To determine if the function has an inflection point.Part (a) By GraphingPart (b) By Calculus

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is given by…

A: Given query is to maximize the revenue.

Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.

A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6.   Differentiate the polynomial function…

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A:

Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.

Q: Find a formula for the quadratic function whose y-intercept of y = 3 and x-intercepts at x = 1,…

A: Given: y-intercept y=3 x-intercept at x=1,4

Q: Express the area A of a right triangle as a function of the height h if the base of the triangle is…

A:

Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

A: