3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) = 60 + 29.4x − 9.8x 2 , where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain?

Q: A company has installed new machinery that will produce a savings rate (in thousands of dollars per…

A:

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Answer

Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h=…

A:

Q: How long will it take the projectile reach its maximum height? (b) What is the highest height that…

A:

Q: A projectile is fired from ground level such that its height, h, as a function of time, 1, is given…

A: Given  h=-16t2+80t We have to write this equation in factored form.

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Given height is : Sx=60+29.4x-9.8x2 (a) How long will it take the projectile to reach its maximum…

Q: 8. A manufacturing firm sells the commodities it produced at 200 pesos per unit. If the total cost…

A: Given, Selling price of one unit of commodities = 200 Pesos commodities produced each day = x units…

Q: Find the root of e^-x ( x^2 + 5x +2) +1 = 0, using the secant method with initial guess -2 and -1 to…

A:

Q: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is x cm. The…

A: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is =(x) cm. The…

Q: Find a real root of the equation x^4-x-10=0, using Newton-Raphson method correct to four decimal…

A: We have the equation x4-x-10=0 Now, we need to use the Newton-Raphson method to find the root. By…

Q: Use newton-raphson method to solve f(x) = 2x2 + 7x - 10

A: Given that: f(x) = 2x2 + 7x - 10

Q: f(x)=x3-7x²+8x-3 iF Xo =5

A: Using Newton-Raphson Method we determine the approximation to the solution, where  f(x)=…

Q: Explain why Newton’s method doesn’t work for finding the  root of the equation x3 - 3x + 6 = 0 if…

A: Given: The equation x3-3x+6=0, To determine: The reason why Newton's method doesn't work for finding…

Q: Determine the root of the equation x3 – e–x  + 4 by two open methods and round-off your answers to 3…

A: The given equation is: fx=x3-e-x+4 Two open methods are: Newton's method Secant method

Q: 7. If the distance traveled is (3x – 2x- + 3x + 8) kilometers and the speed is (x + 1) km/h, what is…

A: Time = distance/ speed

Q: Use a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.

A: x3 - 3x2 - 4x + 8 = 0.

Q: An apple farm yields an average of 42 bushels of apples per tree when 20 trees are planted on an…

A:

Q: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…

A:

Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h =…

A: Consider the given Function, h=-11t2+484t to find the maximum height of the projectile differentiate…

Q: A manufacturer designs and sells each of the radios it produces for 75 soles. If x daily radii, then…

A: Since, the amount of the total daily cost of production is given by:-C(x)=x2+25x+96  -(i)Price of…

Q: 5. The height (feet) of a projectile x seconds after it is launched straight up in the air is given…

A: The instantaneous speed of any projectile at it's maximum height is zero . Because gravity provides…

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A:

Q: f a projectile is launched into the air at 29.4 ft per second froma height of 60 ft, how long will…

A:

Q: Find the explicit solution of the separable equation

A:

Q: What theorem is used to justify the method of solving separable equations?

A:

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: A projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height…

Q: 1. Solve for the root using Fixed point method with initialguess of Tf = -100 Es =0.001%…

A: Since you have asked multiple question, so as per our guidelines we can solve first one only. For…

Q: Determine the particular solution of the exact equation.

A: The particular solution of exact equation is  x3y - 3xy + 4y2 - 4 = 0  as explained below :-

Q: use Newton-Raphson method to obtain a root of equation x'-5x+3=0

A:

Q: How do I solve this? Please show steps. Differentiate: F(y) : y4

A:

Q: Solve using the crossing-graphs method. Express to two decimal places. 20/9+4x=x

A:

Q: Find a root of an equation f(x)=2x3-2x-5 using Newton Raphson method

A: We will find out the required root.

Q: Use Newton-Raphson method to find the required root. Find the largest root of x* – 4x³ + x² + 1.2 =…

A:

Q: f(x) = xe-* хе – sin²x

A:

Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Since you have posts the multiple question. I am answering the first one. Please posts the question…

Q: This equation is about solving polynomial equations. In which find the correct zero for…

A:

Q: Find a root of an equation f(x) = 2x3 - 2x - 5 using Newton Raphson method %3D

A:

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…

Q: Numerically integrate f (x) = x° +3x + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule…

A:

Q: If a ball is tossed in the air modeled by f(x) = -1.5 x2 + 12x + 7 , where height is measured in…

A: The given function is:f(x)=-1.5 x2 + 12x + 7

Q: Total cost of producing x units is -x² + 175x + 125 and the price at which each unit can be sold for…

A: Solution: Consider the total cost of producing cost of x units is: P(x) = 54x2 + 175x + 125 Also,…

Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…

A:

Q: With the current, you can canoe 24 miles in 4 hours. Against the samecurrent, you can canoe only 3/4…

A:

Q: Suppose that an object is dropped from a height h. Its velocity v at impact with the ground is given…

A: given: suppose that an object is dropped from a height h. Its velocity v at impact with the ground…

Q: An apple farm yields an average of 41 bushels of apples per tree when 21 trees are planted on an…

A:

Q: The height of a stone catapulted into the air is given by h(x)=−1/480x2+3x+2 where x is the…

A: Given:  The height of a stone catapulted into the air is given by h(x)=-1480x2+3x+2 where x is the…

Q: Find the positive real root of x³ - x - 3 = 0 using Newton-Raphson method. If the starting guess…

A:

Q: The height of a ball after being dropped from a point 64 feet above the ground is given by h=…

A: When the ball hits the ground, the height of the ball from the ground is zero. The solution of the…

Q: distance above the ground after t seconds is h=-12t^2+384t after how many sounds does it reach it’s…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.