4 (1, 3) y= 4-

Q: What is the equation of the midline for the function y = 5cos 3(x – 45°)+6? (A) y = 3 (B) y =5 (C) y…

A: y=6

Q: Write the linear function that is represented in the following table. 1 2 3 f(x) -4 -1 2 M 5

A:

Q: Determine whether the equation represents y as a function of x: 10. y = 4 – x2 11. 4xy = 16 12. 2x +…

A:

Q: Which of the following is a function? a. y = 2x + 5 b. y >…

A: Recall:  Vertical line test:  Any vertical line drawn in the graph will intersect the graph at only…

Q: Write the length L of the rectangle as a function of y.

A: The length of the rectangle can be determined by using the fact that one end is always on y axis and…

Q: Find the formula for a linear function f that models the data in the table exactly -2 4 f(x) 13 6 -1…

A: GivenHere e find the linear function f(x)

Q: Write the equation of the function that has the values f(4)=9 and f(-4)= -7

A: Given f(4)=9 and f(-4)= -7 So the coordinates are (4,9) and (-4,-7)

Q: Write the height h of the rectangle as a function of x.

A: In two-dimension cartesian-coordinate system, the value of a function at a point represented by the…

Q: The function is x % = y? What is 8 2 dude Y æ2

A: We need to find derivative.

Q: Graph the function Why is ƒ(x) called the integer part of x?

A:

Q: Write the domain of the function using interval nc かー -3 9 SオE 3. 4- 5- 6-

A: We can make it easier for you.

Q: Please show step-by-step solution.

A: Given:

Q: Write the equation for the function in the form y = Atan Bx +D or y = Acot Bx + D.

A: Follow the method mentioned below to find the expression of the given function. y = AcotBx + DA =…

Q: Describe the domain and range of the function. (x, y) = 4x² – y

A: We need to find the domain and range of f(x,y) = 4x2 - y

Q: determine the domain and range of the function

A: The domain of the function is defined as input for which the function is defined. The range of the…

Q: Differentiate the function y = x + (x5 + 1)10/3.

A: Given a function y=x+x5+1103 Differentiating y with respect to x, dydx=1+1035x5-1+0      =1+1035x4…

Q: Decide whether the equation defines y as a function of x. x?y - x2 + 14y = 0 O Yes, y is a function…

A:

Q: Write the equation of the function with h(5) = 12 and h(–3) = –4

A: Introduction: A function is simply an arithmetic object generating an output when an input is…

Q: What is the equation of the midline for the function y = 5cos 3(x -45°)+6? (A) y =3 (B) y =5 (C) y…

A:

Q: Use the data in the table below to write a linear function equation. 5n 10 15 20 25 -1 -2 -3 -4 -5

A: Here, from the given table at  x=5,y=-1x=10,y=-2x=15,y=-3x=20,y=-4x=25,y=-5

Q: Determine whether the function is one-to-one. (a) y = 4x? + 3 (b) y = Vx + 3 – 5

A: (a) Graph the given function as follows: From the above graph, it can be seen that for any…

Q: Which relation is a function? 2x - 5y -24 a. с. = 1 b. y= 2x-3x +7 d. y =-x+3y O A Ов O D

A: Explanation of the answer is as follows

Q: describe the domain and range of the function. P(r, s, t) =16 − r2s2t2

A:

Q: Determine whether the equation represents y as a function of x.then fine the domain! y=square root…

A: The given function is y=2x+3. Clearly, this equation represents y as a function of x. It is known…

Q: Write the linear function that is represented in the following table. 3 f(x) 11 3 -1 H7

A:

Q: (ii) f (æ) =| -a²+ 2æ³, -æ² – 2a®, -1 <æ<0 -x? + 2x³, 0 < x <1

A: Given function is fx=−x2−2x3,   −1≤x≤0−x2+2x3,      0≤x≤1 To determine whether the above function is…

Q: Complete the remainder of table for the given function y = -2x + 9 2 4 X-4 y 17 [?] [] OO -2

A:

Q: y (1, 1) 1 2]

A: Write as a piecewise function

Q: Refer to the function f = {(-2, 4), (-4, 8), (5, 2), (0, 9)}. For what value of x is f(x) = 4?

A: f = {(-2, 4), (-4, 8), (5, 2), (0, 9)} We need to determine For what value of x is f(x) = 4?

Q: Write an equation for the function graphed below. The y intercept is at (0,0.5) 54 44 3 2- -7 -6 -5…

A: here graph touches the x-axis at x=2  so the x=2 has a multiplicity of 2 so the numerator is x-22

Q: y (-1, 1) (1, 1) 10

A:

Q: y 21 12 4 8.

A:

Q: Complete the table of values for the function y=x^3+4.   x y  −3   −2   −1   0   1   2   3

A:

Q: Determine which equation does not define y as a function. Oy = - Vx+4 O 2x + y = 8 O 2x + y = 6 O…

A:

Q: f(x,y) = 5 + Vx – y² +4

A: To determine theb domain and range of the following function.fx, y=5+x-y2+4

Q: 22. Write an equation for the following linear function in the form: y=mx+b 01-7--s-

A: 22) To write the equation for the given linear function in the form y=mx+b

Q: What is the equation of the midline for the function y = 5cos3(x – 45°)+6? (A) y =3 (B) y = 5 (C) y…

A:

Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

Q: If the domain of the function y = f(x) equals (-1,5] U [8, 10], what is the domain of the new…

A:

Q: The domain of the function f(x) = x² – 2x +5 is {-6,7}, what is the range of the %3D function?…

A:

Q: Write the rule for the function as an equation. 1 10 15 4 20 25

A:

Q: y 8. 15 24 35 48 2. 3. 4)

A: Solution:-.

Q: 2 Complete the table below for the function y = 3x. y 1 3.

A: To complete: The table for the function y=3x. Calculation: Substitute 1 for x in equation y=3x to…

Q: Which equation is not a function? Ox+y = 5 O 2x - y = 4 O x = 4 O y = -1

A:

Q: Decide if the table represents a linear, exponential or quadratic function. y 4 -20 5 -24 -28 7 -32…

A:

Q: Determine whether the equation defines y as a function of x. x? + (y - 2)2 = 8 O is a function O is…

A:

Q: Consider the table of values for the function y fx) 1. 2 1. 2 4 4. What is the value of 3. 4.

A:

Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) 5 + 4 3 2 1 -7 -6 3…

A: Topic :- Functions

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

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.