find all local maximums and minimums of function f (x) = x3 − 3x2 − 9x + 5

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: By using properties and algebraic methods to find the following limit., where

Q: The price of a product in a competitive market is $200. If the cost per unit of producing the…

A: Cost per unit of producing the product The price of a product in a competitive market is where x is…

Q: Find the average rate of change of the given function between the following pairs of x-values.…

A: Consider the function

Q: Problem 2: Let v=⟨3,4,5⟩.  Find a unit vector in the same direction as ?. ⟨_____,_____ ,____ ⟩

A:

Q: (2) 3 f(x) = 1 g(x) = 6x 2x³-18x Ⓒ g(x) == 4 5 h(x)=(√2-47) 5 (X²-4) VA Holes HA/SA Y-intercept…

A: Question No. (2):Given: To Find: To determine .To draw the graph of the above function.Note: Since,…

Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use the shell method to find the volume of…

A:

Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: To evaluate the definite integral that represents the volume of the solid formed by revolving the…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A:

Q: Follow the 5 Steps for Curve Sketching to sketch the graph of the function 9(x) = 2x³-2 x1/3 Step 1:…

A:

Q: Revenue The revenue (in dollars) from the sale of a infant car seats is given by R(x) = 67x -…

A:

Q: Evaluate the integral: (A) Let 36x² - 49 T³ dx 7 sec (0)as your trig substitution. (B) which…

A:

Q: 4. For the following, use the points A(3,-1, 1), B(4, 0, 2), and C(6, 3, 1). (a) Find the equation…

A:

Q: A tank is designed with ends in the shape of an isosceles triangle with height 20 meters and width,…

A:

Q: Find the equation of the tangent line when x=4 for the curve y+- = 3

A: y+xy=3 at x=4y+4y=3y2+2=3yy2−3y+2=0(y−2)(y−1)=0y=1,2(x,y0)=(4,1),(4,2)

Q: (d) the line x = 9

A:

Q: Please explain each step and graph the following: Graph the equation y= -4x2

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: To find the area of the surface generated when the given curve is revolved about the given axis.

Q: Complete the missing spaces in the box for x Clear Undo Redo 3 z³+5x²+2x–8 2-1

A: Setup the Table: Draw a table with enough rows to accommodate the dividend polynomial and one…

Q: Find the average rate of change of the given function between the following pairs of x-values.…

A:

Q: find the derivative of x2y3 + 4xy = 2x using the implicit differentiation

A: Product rule of derivative

Q: Use the graph of f(x) above to estimate the value of f'(3) to one decimal place. f'(3) =

A: Given graph of f(x) to estimate the value of f'(3)

Q: 2. Solve the following differential equations. (a)=y(x-1)

A:

Q: Which of the following is true in explaining the convergence of fixed-point iteration g (x) = x + 2?…

A: Given that, the function is   ,we need to find the convergence condition of fixed point iteration…

Q: Use partial fraction decomposition to evaluate the integral: √2²+ X x²+x-6

A:

Q: Find the length of OR. R = (8,4, 3) ||OR|| = =

A:

Q: f(x): -x+4, -x+3, -3, f(-6) = lim f(x) = lim_ f(x)= 2+6+ lim f(x) x < -6 -6 ≤x≤4 f(4) = lim f(x)=…

A:

Q: 4 Suppose that f(1) = 1, f(4) = 9, f'(1) = 5, f'(4) = 5, and f" is continuous. Find the value of *…

A:

Q: ||v|| = 4 ||w|| = 2 The angle between v and w is 0.2 radians. Given this information, calculate the…

A: Vector dot and cross product.

Q: Let f(x) = (5x-3 if x ≤ 3 -5x+b if x > 3 If f(x) is a function which is continuous everywhere, then…

A: A function f(x) is continuous at x= a if = f(a)

Q: Suppose the production level is 982 car seats.  Compute the instantaneous rate of change of revenue…

A: The objective of this question is to find the instantaneous rate of change of revenue at a…

Q: Find the x-coordinates of all relative minima of f(x). ƒ(x) = 3 -x4 - 3x³ - 42x² + 14 4

A:

Q: Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved…

A: Given that the region R is bounded by the curves in the first quadrant.

Q: -5 -4 -3 -7 -2 -3 12 4 5 Use interval notation to indicate where the functin above has... A)…

A: The graph is said  to increase if the graph goes upwards as  we move from left to right along the…

Q: In the last part, wouldn't the range be calculated by the integral change due to the two…

A:

Q: hich of the follow a possible equato A.f(x)= -0.07 (2+4) (-1)(z-3)² B. f(x) = 0.07 (2x +4) (x -…

A: Consider the given figure :

Q: x² + y² = 9. Find d²y dx²

A:

Q: Find all intervals on which the graph of f(x) = = -2x -3xe- is concave up.

A:

Q: A swimming pool is built in the shape of a rectangular parallelepiped 12 ft deep, 10 ft wide and 15…

A:

Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

A:

Q: Suppose f (x) = p(x)/q(x) , where p and q are polynomial functions with no common zeros. For what…

A:

Q: Use your graphing calculator to solve the equation graphically for all real solutions r3_5r+x+15=0…

A:

Q: A cyclist is riding a bicycle whose wheels have a radius of 15 inches. Suppose he is traveling at 15…

A:

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: Here Given Equation :-R(x)=56x-0.020x2                      [ ]

Q: a).y³ - 5y = 5x² + 7 point: (1,3) b) y² + sin(y)=2x-6 point: (3,0) c) e' + sin(y) = x²-3, point…

A:

Q: Part 2: Find the error(s) and solve the problem correctly Joe is asked to find the derivative of the…

A:

Q: Employee Training A company producing computer components has established that, on average, a new…

A: Given that a company producing computer components has established that, on average, a new employee…

Q: Find the limit using the formal limit definition for f(x) 1

A: Differentiation

Q: Revenue The revenue (in dollars) from the sale of infant car seats is given by R(x) = 70x -0.02x²,…

A:

Q: Use the values a = -3 and b = 5 to express the limit n lim 11 (1-6x) Ark as an integral. maxAxk-0…

A:

Q: - If y-4=√x+2 a) Write this equation using function notation. b) Graph the function and tell me why…

A: