nd the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) g(x) = x4 − 18x2 + 1

Q: Find (a) The constant K (b) P(X> 1) (c) P(|x|<3)

A: To determine the value of K we will use the fact that the integration of pdf f(x) over whole range…

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: 6. y = x2 is a solution for which differentia

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

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

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 132 and a revenue function R(x) = 6x.…

A:

Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-1) = 5, f(1) = 3, and f(2) = 5.

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

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Q: Find f by solving the initial-value problem. f'(x) = 7e* – 6x³, ƒ(0) = 5 -

A:

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: A fast-food restaurant has a cost of production C(x)=12x+140 and a revenue function R(x)=5x. When…

A: To find the time when company starts to earn profit. Company will earn profit when revenue is more…

Q: Let g(x)=2x2−11x. Find all solutions to the equation ​g(x)=40.

A: Since given equation is quadratic. So, we get two solution ( x=-5/2 &amp; x=8 ) of this problem.…

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: Q2 Identify and solve xy"-2.xy'+2y=6x+4lnx assuming that

A:

Q: solve for y in terms of t or x, as appropriate.

A:

Q: A fast-food restaurant has a cost of production C (r) = 12x + 95 and a revenue function R(r) = 7x.…

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Q: Use separation of variables to find a solution to: k>0

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Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: What is the equation of a quadratic function y=f(x) with two irrational zeros, negative square root…

A: The equation of a quadratic function y=f(x) with two irrational zeros, negative square root of h and…

Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

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

A:

Q: Find the general solution to x”-3x’+2x = e^t

A: First we find complementary function then particular integral and then general 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: A company finds that the revenue R generated by spending x dollars on advertising is given by R =…

A: To find: The value of dRdx at x=1500. Given: The revenue generated function is R=1000+80x-0.02x2.…

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

A:

Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: Solve for t. 4 - 1 - 1 =D4 - 3 -3

A:

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

A:

Q: (a) To find where the graphs of the functions y = m¡x + b1 and y = m2x + b2 intersect, we solve for…

A: a) To find where the graphs of the functions intersect, we solve for x in the equation:…

Q: An equation for the stretched y = x2 -1 vertically by a factor of 3.

A: If we have a function f(x) vertically stretched by a factor of 3 function is g(x): g(x) = 3f(x)

Q: A fast-food restaurant has a cost of production C(x) = 12x + 126 and a revenue function R(x) = 5x.…

A: The profit function is the difference of the Revenue function and the Cost function. The company…

Q: Can you help me step by step with this problem?

A: Given equations are: Adding the equations:

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: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no…

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Q: 18. What quadratic function that passes the point (2, 1) and to its only zero of 3? A. y = x2-6x - 9…

A: Follow the procedure given below.

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: Find the smallest root of the equation f(x) = 2x – 6x + 11x – 7 = 0

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Q: Find the number of units X that produces a maximum revenue R in the given equation. R= 36x2/3 -2x

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Q: Q-1:A: find a real general solution: * y + 4y' + 5y =x +2

A:

Q: The population of a colony of squirrels is given by 1500 p(t) %3D 3 + 2e-0.1t

A:

Q: -x x²dydx Solve: S. S2 x²+y² 1

A: Solve: ∫01∫x2xx2x2+y2dy dx

Q: .3 t +y3

A: Derivative is below

Q: b- Find the solution of f(x) e-x, let x, 0 and E- 10-5

A:

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: 3. 2y" + у' %3 А. 3 В. Зx2 С. Зх D. x?

A:

Q: Find the domain: 1.) x2 – y² ± 0

A: First we consider the given function is equal to a constant number which is not equal to zero and…

Q: С. The possible x and y intercepts of x+3 y=- x² +6x+9 O -3, попе,

A: Given y=x+3x2+6x+9

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.