A ball is thrown in air and its height h(t) in feet at any time T in seconds is represented by the equation h(t) =-4t2+16t,  when is the ball higher than 12 feet off the ground?

Q: The concentration of a certain drug/medicine in a patient's blood (in parts per million) is given by…

A: Given that: C(x)=-x4+12x3-58x2+132x

Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: Find the general solution of the equation x' + 5x(t) = 3.

A:

Q: If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per…

A: given that.

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(r)…

A: Where we have to solve the exponential function

Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

A:

Q: The number of new cars purchased in a city can be modeled by the equation C=26t^2+168t+4208,where c…

A: We have to use quadratic formula to solve the problem as (-b±√b2 -4ac) /2a

Q: y'-5y=x'e* – xe³* - хе

A:

Q: 3. Solve for the root(s) of the equation f(x)=3x³-4x²+8x+4

A:

Q: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the…

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values…

Q: [1] Solve for the GS of (D4-5D³+9D²-7D+2)y=0

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: The height of an object tossed upward with an initial velocity of 120 feet per second is given by…

A: Given Data: The initial velocity of the object is: dhdtt=0=120 ft/s The formula for the height of…

Q: Your classmate solves the equation 3ax + bx = 0 for x as follows:3ax + bx = 03ax = -bxx = -bx/3aHow…

A: The given equation is: 3ax + bx = 0 Since the solution x = -bx/3a, involves the variable x which is…

Q: Solve for X in the equation, where -3. 3 5 0 1 -4 A = and B = -5 0 4 2 5 3 X = 2A + 2B %3D X =

A: On solving this we will get

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

A:

Q: -2x+3y=-12 solve for y

A: Given expression ,                          -2x+3y=-12

Q: d²y from the following dx2 Solve 1. y = 8x* – 12 x° + 6x² – 9 2. y= (4x-9)?

A:

Q: use the difference quotient to solve this equation; f(x)= (1/x2)

A: The difference quotient is calculated by . First, evaluate the value of f(x+h).

Q: (D² + 1)y= sec³x solve using variation of parameters/

A:

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(æ)…

A: Given: fx=1.8208e0.3387x To find the number of years when the exports reach $12 billion.

Q: Solve for y X2 =9e?y

A: Given: x2=9e2y As we know that the exponent rule: lnm=x⇔m=ex So, we can also write as:…

Q: The profit (P) for a company is given by the equation P=-0.02x^2 + 1.40x + 1500, where x is the…

A: Consider the given profit function: P=-0.02x2+1.40x+1500 Where  x is the number of units sold Here,…

Q: Enter the solution to the equation f(x)-g (x) = 0

A: Here we find solutions for f(x)-g(x) = 0

Q: y = C₁x² + C₂e -X

A:

Q: of f (x) = 1³ + 2z² + 3x + 6?

A:

Q: solve in R the inequation Vx +4 < x + 2

A:

Q: the owner of a video store has determined that the cost C, in dollars, of operating the store is…

A:

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

Q: Solve using Methods of Undetermined Coefficient (D² – 1)y = x – 1

A: To solve the following problem using method of undetermined coefficients

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

A:

Q: The height of an object tossed upward with an initial velocity of 80 feet per second is given by the…

A: Given, The height of an object tossed upward with an initial velocity of 80 feet per second is given…

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

A: 3xex+x2ex=0

Q: Solve for X in the equation, where -1 5 2 0 1 -5 A = and B = -4 0 1 3 0 3 X = 3A - 2B %3D X =

A:

Q: The net profit in dollars per day for a small business owner is given by the equation f (x) =…

A: Given function  f(x)=-0.1x^2+8x+1 where x=number of employees, f(x)=Profit function  f'(x)=-0.2x+8…

Q: Solve for the domain and range of. f(x.y,z) = 4-x2-y?

A:

Q: Solve the equation 2x² – 3y² = 6 for y. Is y a func- tion of x?

A: Given equation is 2x2-3y2=6. To solve for y and  to determine whether y is function of x. Solution:…

Q: A laptop company has discovered their daily cost and revenue functions:  C (x) = 3x2 − 10x + 200…

A: The cost function is, C(x)=3x2−10x+200 The revenue function is, R(x)=−2x2+100x+50

Q: Find f by solving the initial value problem. f '(x) = 9x2 − 12x, f(2) = 6

A: Given   f1(x) = 9x2-12c  f(2) = 6

Q: Which equation in standard form corresponds to x2+y2−2x+2y=7?

A:

Q: find the value of (a) if the equation: f(x)=x2 – 2ax+9 has one root: -

A: The given equation is fx=x2-2ax+9. It is given that the equation has only one root. It is known that…

Q: Solve for y in terms of x   7x+3y=2

A: We first subtract 7x from both sides    7x+3y=2 7x-7x+3y=2-7x 3y=2-7x

Q: Solve for X in the equation, where -4 3 1 0 2 -2 A = and B = -3 0 2] 3о 4B = -2x – 2A X =

A: The given problem is related to matrix subtraction and addition. we will use matrix subtraction or…

Q: How are you getting a negative for a and where is the equation coming from for b?

A:

Q: Solve for x. Equation is as follows. x=(5x+36)½

A: Introduction :

Q: Given (x) = -4x - 2, solve for x when f (x) = 6

A: Given,          fx=-4x-2 and fx=6

Q: Solve this DE (D2+4)y = 4cos2x

A:

Q: Q8. Solve y() +3y" - 4y x + e2x.

A:

Q: D. Solve dx2 from the following 1. y = 8x* – 12 x + 6x² – 9 2. y= (4x-9)²

A: d2ydx2 =ddx(dydx)  is called the double derivative of y→dxndx = nxn-1.→d(constant term)dx = 0