Express the area and perimeter of an equilateral triangle as a function of the triangle’s side length x.

Q: Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours…

A: Given: Earning per hour = $14       To determine: Gross salary as a function of the number of…

Q: Differentiate the function with respect to the independent variable. f(x) = %9+ 3x? %3D f'(x) =O

A:

Q: If the car is to be rented for one day, express the total rental expense as a function of the number…

A: Given that a car is rented for one day and is charged $0.45 per mile driven. If x miles are driven ,…

Q: Differentiate the function.

A:

Q: Determine whether the equation x2 + y2 = 1 defines y as a function of x.

A: The given equation is x2+y2=1. This implies that,

Q: Differentiate the function: y= x^3 - 2x

A:

Q: Sketch the Function y= X+2

A: Given function : y=x+2

Q: FX) = Secx

A: Given function to be differentiated is : F( X ) = sec X2 In order to differentiate above function,…

Q: Describe the domain and range of the function. g(x, y) = xvy

A:

Q: The area of a rectangular floor is 1000 square feet. Express the perimeter of the floor, P, as a…

A: Let x be the width and y be the length of the rectangular floor. Given that the area of a…

Q: Differentiate the function.

A: Given:

Q: Differentiate the function with respect to the independent variable. 9 h(t) = -t²- +4 h' (t) =

A:

Q: f(x)

A: The solution is given below

Q: Differentiate the function.   y = xex

A: The function is  y = xex

Q: Which table does not represent a function of x?

A:

Q: Find the function U, whose first difference is *C,-

A:

Q: Use the vertical line test to determine if y is a function of x in the graph. Q

A: To use the vertical line test to determine y is a function of x. Given graph is:

Q: Differentiate the function with respect to the independent variable. f(x)=-7x+5x³-6 f(x) =

A: Given, f(x)=-7x4+5x3-6

Q: Determine whether the equation defines y as a function of x. x =  |3y|

A: Given,           x =  |3y|

Q: f(x) =

A:

Q: Use the Vertical Line Test to determine whether y is a function of x.                          x2 −…

A: Given: x2-y=0 To determine: yis a function of x or not, using vertical line test.

Q: The height of a right triangle is 44 feet more than three times the length of its base. Express the…

A:

Q: Differentiate the function.

A: Given:y=1+2e3xDifferentiation formula:ddxeax=eax.a

Q: Does x + y = 10 define y as a function of x?

A: To check whether x2 + y = 10 define y as a function of x.

Q: Differentiate the function. y = V x2 + 2x

A:

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: Differentiate the function. f(x) = 270 "(x) =

A:

Q: Investigate when, historically, the use of the function notation y=f(x) first appeared.

A: Given, Investigate when, historically, the use of the function notation y=f(x) first appeared.

Q: Show whether the function y=x² is considered as even or odd function

A:

Q: Express the side length of a square as a function of the length d of the square's diagonal Then…

A:

Q: sketch the graph of the function f(x, y) = sqrt(4-4x^2-y^2)

A: Given function is, f(x,y) = 4-4x2-y2

Q: Differentiate the function y = x sqrt x

A: Given function is y=xx. Taking logarithm on both sides, we get lny=lnxxlny=xlnx Product rule of…

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: According to the given information:P is defined as the perimeter of the rectangleW be the width of…

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: Use the Vertical Line Test to determine whether y is a function of x.                 x − y2 = 0

A: According to vertical line test, if on drawing a vertical line at any point on the graph, the line…

Q: Differentiate the function.snip4

A:

Q: Express the volume of a cube as a function of the length of an edge.

A: Cube:

Q: h (x) = x" – xV2

A: We have to differentiate the function: hx=xπ-x2 We know the formula of differentiation,…

Q: Differentiate the function and simplify. f(x)= In

A:

Q: Determine whether the equation defines y as a function of x :  lxl - y = 2

A: Vertical line test: Vertical line is use to check graph is graph of function or not. Vertical line…

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: Differentiate the function y=sec(3x)+5-2

A:

Q: Graph the function as a solid curve 1) f(x) =극지•3

A: We have to graph

Q: Which type of function best models the area of the garden as a function of the width?

A:

Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: Differentiate the function.   f(x)  =240

A: We have to differentiate the function: fx=240 We know that differentiation of any constant is zero.…

Q: xpressed as a function of x.

A: Given,

Q: Find the function that satisfies the given conditions.

A:

Q: Determine whether the equation x + y2 = 5 defines y as a function of x.

A: Our Aim is to determine whether the equation x+y2=5-(i) defines y as a function of x.