State the domain of the function. х-3х+2 а. У- х-4 b. у-4x*+7x?-13х+100 f(x)- V2x-10 С.

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.45x +…

A:

Q: company models it’s net income, in thousands of dollars, with the function f(x) = 9x^2-54-144, where…

A: Given query is to find the value of x where f(x) is zero.

Q: The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any…

A: The point of maximum of a function can be obtained by differentiating the function and equating it…

Q: Graph the function h (x) ++3. 10- 8- ? -10 -8 -6 -2 10 :-8- -10- 23 2.

A: topic - graph of a function draw a line passing through (0,3),(3,1) and (6,-1) ,that will be graph…

Q: The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any…

A: The area(A) of a rectangle is calculated using the formula: A=l×w, where l is the length, w is the…

Q: The height of a Ferris wheel in feet can be represented by the function y=50cos(π/15(x−10))+52, with…

A: The maximum value of a function is the maximum value the function can achieve. For the trigonometric…

Q: f(x) =-2x - 4 if xs2 | 4x -9 if x> 2 f(-4) = f(8) = f(2) =

A:

Q: Evaluate the function. flæ) = -a² + 5æ - 2 x²+5x- 2 Find f(-4)

A: We have to evaluate the function  f(x) = - x2 + 5x - 2 We have to find f(- 4) Put ,  x = - 4 in f(x)…

Q: What are x-intercepts of the function, -2(x – 6) + 3 = y O (-7.225, 0) and (-4.775, 0) O (-69,0) O…

A: For the x intercept,

Q: Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

A: Given,          The function is fx=x4+3x3-4x2-12x .

Q: Find the domain for the function. X-3 V3x-2 a) (-0, 00) b) (- ∞, 3) U (3, 0)

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Q: Find the equation of a line that resu f (x) = x2 +2. You can complete your work using t whiteboard…

A:

Q: Fahrenheit. The function f(t)=Ce(−kt)+33f(t)=Ce(−kt)+33 represents the situation, where it is time…

A:

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A: Given: A ball projected upwards with a velocity of 128 feet per minute from a height of 5 feet above…

Q: Differentiate the function. y = 5(1x - 1)4(1x - 2)2

A: Given function is y=5x-14x-22. To differentiate the function. Solution: Power rule of…

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: tunction. a) b) 6- 4- y = f(x) -6 -4 -2 4 6 -2- -4- 2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A user is charged P200.00 for an unlimited internet connection for 5 days. Additional P15.00 will be…

A: The objective is to write the piecewise function.

Q: 10. Determine whether the equation y = 2x2 − 3x + 4 is a function.

A:

Q: Graph the function f(x)=3+4x. Then find the value of f(x) when x: :- 10 0. -8 -10 -5 -3 -2 2. fx)=…

A: Please refer the attached image for complete solution.

Q: A rancher has 820 yards of fencing with which to enclose 2 rectangular corrals, both of the same…

A:

Q: Suppose a company sells kids bicycles. The company's profit can be represented by the function P =…

A: Company's profit can be represented by the function P = x2 +3x -5250, where x is the number of bikes…

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.45x +…

A:

Q: -4 -6 -2 4 -6

A: To find the interval where the function is positive first we  choose  some points in the given…

Q: Brynn and Denise launch their rockets at the same time. The height of Brynn’s rocket, in meters, is…

A: For the same Hight both functions of Hight should be equal.

Q: A videoke machine can be rented for P 1000 for 3 days, but the fourth day onwards, an additional…

A: Given:  A videoke machine can be rented for P 1000 for 3 days, but the fourth day onwards, an…

Q: The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) =…

A: Amount of candy sold year per type=C(x)/T(x)

Q: Differentiate the function. A y = 2x>e²2x + 5xªe2x В У 3 5x (е2%) + бе2(20х3) y = (5xª)(2e²^)

A:

Q: The domain of the function f(æ) = v9-a is OR-{-81,81} OR-{-7,11} O R-{-9} OR O R- {9}

A:

Q: Graph the function. 4) (-x + 3 if x < 2 {2x -6 if x 22 f(x) =

A: Please see the explanation below

Q: Select all ordered pairs that satisfy the function y=5x + 4

A: Given,          The function is y=5x+4.

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: -9 f(x)= V9-x Answer: V9-x?' (9-x²)}*²

A:

Q: For the given function, find (a) f(-2) (b) f(2). 本y 15- (a) f(- 2) = 10- (a) f(2) = 5- -15 -10 -5…

A: Please see the answer in Step 2

Q: If the function y=2x^2+3x has the domain {-2,-1,0} what is its range?

A: Given: y=2x2+3x has domain {-2,-1,0}

Q: What value of x is paired to y=15 using the function f(x) = 2x²-3x+1? none of the choices O-2 3 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 10- 10 10-

A:

Q: Q- Find Domain and Range of the function 1) y= V2- Vx 2) y = 2eX - 3 |

A: 1 Given  y=2-x since square root of a negative number is undefined so , 2-x≥0 ⇒2≥xi.e. x≤2⇒x∈[0,4]…

Q: 2. State the domain of the function. x² -3x +2 a. y=- x-4

A: The objective of the question is evaluate the domain of the given function.

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A:

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: 2x² +5x – 3 - Consider the function y x2 - 9

A: We have to find

Q: Write the function equation: 10 6 7 6. 5 4 3 2 1. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9.…

A:

Q: A ball is thrown in the air from the top of a building. it’s height,and meters above ground,as a…

A:

Q: Graph the function. (). f(x) = 2 5+ 4+ 3+ 2- + -5 -4 -3 -2 -1 1- 2 3 4 5. -1+ -2+ -3+ 9个

A: Reduce the given function to simple form:

Q: Given the function 7z-5 z< 0 7z-10 z 2 0 f(z) =

A:

Q: The function f (x) = 15,000(0.88)* represents the value of a car over x years. What is the most…

A:

Q: The function w(x) = -0.01x² + 0.27x + 8.60 can be used to estimate the number of self-employed…

A:

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.