14. Given the quadratic function g(x) =xr - 10x +c, where c is some real number constant, answer the fol questions. (a) If c = 5, find the x-intercepts of the function in simplest radical form (b) Use the quadratic formula to explain why the function will fail to have any x-intercepts if c = 30.

Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁e-²x + De4x

A: Given  y=C1e-2x+De4x

Q: Match the following quadratic functions to their graphs. 2z? - 5z + 1 -2x + 5z + 1 21 + 5z +1

A:

Q: 1. For the quadratic function f(x) = x² + 6x + 11: a) Write the function in the form f(x) = a(x –…

A:

Q: 1. The monthly revenue R earned by selling x lamps is R(x)= 120x-0.46x The monthly cost of producing…

A: (a) The given revenue and cost functions are,

Q: B1(b): Solve the initial value problem : f' (x) = x12 – 4x4 + 12x + 13 and f(0) = 2.

A: The given differential equation is f'x=x12-4x4+12x+13 and the initial condition is f0=2. Solve the…

Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into…

A: Given query is to find the the vertex form and the minimum value of f.

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: 4. cubic equation must have at least 1 real solution so it must have cut the x-axis once since if…

Q: 1. A company manufactures and sells a televisions per month. If the cost and the revenue functions…

A:

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A:

Q: The total revenue function for a certain product is given by R= 980x dollars, and the total cost…

A:

Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: It is given that the total weight x of all output is y=0.06x+0.0006x2 where x and y are in pounds.…

Q: Solve me! Answer with Solution: Problem #1: of the rectangular Field of VNHS Tawi-Tawi building that…

A: Given statement is , A ball is thrown from a point 10 meters above the ground The height from the…

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

A:

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 13 and f(0) = 3.

A:

Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: If k = 3, for approximately what values of x in the interval [0, 1] will the error in the quadratic…

A:

Q: I have the cost function as C(x)=14x+500ln(x+1)+3000 and I'mtrying to figure out the total cost when…

A:

Q: Solve the initial value problem: f(x)-x7+12x+17 and f(0)=3.

A: We will rearrange and then integrate both sides to find the solution of the given initial value…

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: 29. Given that V(-4, 5) is the vertex of the graph of a quadratic function y = f(x), and its…

A: The vertex form of a quadratic function is defined as fx=ax-h2+k Where, h, k is the vertex of the…

Q: 8. Given f(x) = 2x- 5 & g(x) = 3x +4, solve for g o f(x). a. 11 - 6x b. 6x2 - 7x - 20 C. 6x - 11 d.…

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Q: Find a formula for the quadratic function whose graph has a y-intercept at y 7 and z-intercepts at…

A:

Q: Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: 3.) The revenue for a company producing widgets is given by y =- 25x widget. The cost for the…

A:

Q: 1. To put the quadratic function f(x) ax? + bx + c in %3D standard form, we complete the

A: Fill the blank

Q: The table shows projections for the female population of a country (in millions). Year 2015 2040 181…

A: a. If x=0 corresponds to the year 2000. Then, for 2015, x=15 and for 2040, x=40 and for 2050, x=50…

Q: 3. What is/are the solution(s) to the following quadratic function? y 10 7. 6- 5- 4- 3- 2- 1- -2 -1…

A:

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 14 and f(0) = 2.

A:

Q: The manager of Dixie Furniture Company estimates that the daily output of her factory (in thousands…

A:

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

A:

Q: H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2

A: Please find attachment for the details solution

Q: B1 (b): Solve the initial value problem : f'(x) = x5 + 12x + 12 and f(0) = 5. ,15

A: We apply differential equation method to solve initial value problem

Q: For what value of k will y=2x^2+kx-9 have a minum at x=3?

A: The given equation is,

Q: B1(b): Solve the initial value problem f'(x) = x11 + 12x + 14 and f(0) = 2.

A:

Q: 16 Solve the equation for for y 3rex 1 r2 x - 0

A: 3xex+x2ex=0

Q: 1.Discuss two practical applications in which “piecewise functions” are used either explicitly or…

A: We will answer the first three questions. Please resubmit the other question as a separate one.

Q: 12. If f(x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of…

A: f(x) is linear function so f(x) can be expressed as  f(x)=ax+b, where a≠0 and b are constants. g(x)…

Q: The weekly revenue for a product is given by R(x) = 132x-0.0135x, and the weekly cost is C(x) =…

A:

Q: 4. The Quadratic equation whose roots are 1 and %. c. 2x-3x+1-0 a. 2x +x- 1- 0 b. 2x-3x -1 0 d. 2x…

A: Hello, thanks for the question. We’ll answer the first question since the exact one wasn’t…

Q: Given the quadratic function g(x) = x² + 4x – 4 union, -INF for -∞ , and INF for 0ó. and its graph,…

A: Definition used -                   A function is positive when the graph of the function above the…

Q: Suppose that / (3r-x²) dr=Ax³+ Bx+C, for constants A, B, C. What is the value of C if the curve…

A: The given integral ∫3x4-x2dx=Ax5+Bx3+C

Q: The manager of Dixie Furniture Company estimates that the daily output of her factory (in thousands…

A: a.The given function is

Q: 1. Pick a point where that is NOT on any of the lines: a = 0 y = 0 y = x y = -x 2. Find the equation…

A:

Q: In a certain company, the income from the sale of x thousand pieces of products is given by I (x) =…

A: We first try to find the profit function.  Profit= Income - Cost…

Q: B1(b): Solve the initial value problem f'(x) = x° + 12x + 14 and f(0) = 2.

A: Solution:Given     f'(x)=x9+12x+14  and f(0)=2Formula:∫xndx=xn+1n+1+C

Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: First find the revenue and the cost then find the profit function by subtracting the revenue with…

Q: Q1/ Apply the Range – Kutta Method to the initial value 23 problem y' 107 (-5x* + 216x² – 1296) if |…

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Q: 7. a) Determine the restrictions on the y- intercept so that y = 3x2 + 6x - 1 intersects with a line…

A: