Use the second derivative test to determine the x-coordinates of the relative extrema of the function g(x) = x4 - 4x³ - 56x² + 8. Enter each answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if g(x) does not have any relative maximum or minimum values, respectively. x-coordinates of the relative maxima = x-coordinates of the relative minima =

Q: A gasoline-driven lawnmower has a blade that extends out 2.0 ft from its center. The tip of the…

A:

Q: A rectangular box is to have a volume of 7200 cm³. The length of the box is three times the width.…

A: "Note that the provided solution is correct, here i am making the figure and explaining the second…

Q: The Pythagorean Theorem is often used when trying to show a triangle is a right triangle. O True O…

A: In a right triangle having its height, base, and hypotenuse then according to the Pythagoras theorem…

Q: Definition The derivative of a function ƒ at a number a, denoted by f'(a), is if this limit exists.…

A:

Q: The angle of depression is an angle measured from the vertical down.

A:

Q: Below is the graph of the DERIVATIVE of f --- that is, the curve y = f'(x) is pictured below. + -3…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: ∞ n=1 H 2n

A:

Q: 16. Find a vector equation and parametric equations for ... (a) the line through the point (-2, 7,…

A:

Q: Find the length of the missing leg of a right triangle whose hypotenuse measures 15.4 cm and whose…

A:

Q: (b) lim x→91 0. Vx+9-3 x

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Find the derivative of y = 7x⁹ + 9 +3. dy = dx

A:

Q: Find the distance between the given parallel planes. 3x − 3y + z = 15,    6x − 6y + 2z = 2

A:

Q: Tasks (a) The tension force is 23*sqrt( T X 18 A child has flown a kite and fixed one end of the…

A:

Q: Consider the function f(x)= 3x5 250x³ + 11x - 50. Enter the number of inflection points of f(x).

A:

Q: The following picture is of the graph of f(0) = cose where ≤ 0≤T. 270 -1.5m -T -0.5T 0.5 0 -0.5-…

A:

Q: dy = 6x² + 2x − 3 and y(0) = 4. - dx What is y(2)? Suppose Oy(2) = 14 Oy(2) = 16 Oy(2)= 18 Oy(2) =…

A:

Q: A larae tank is filled to capacitv with 700 gallons of pure water. Brine containing 3 pounds of salt…

A: A large tank is filled to capacity with 700 gallons of pure water.Brine containing 3 pounds of salt…

Q: Find the general solution of the given second-order differential equation. 2y" 5y' + 6y = 0 23 y(x)…

A:

Q: 4. If g' is continuous on [a, b] and f is continuous on the range of u = g(x), then ſ…

A:

Q: Evaluate the limits, using L'Hôpital's Rule. Enter INF for ∞, -INF for -∞, or DNE if the limit does…

A: Where

Q: The graphs of the functions f and g are shown below. If h(x) = f(x) g(a), find h' (5). 7 6 5 Y 3- 2…

A:

Q: Question Find the point (u, v) in the first quadrant on the ellipse 4x2 + y² = 4 so that the area of…

A:

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections…

A:

Q: Select all of the following functions for which the extreme value theorem guarantees the existence…

A: Extreme value theorem states that ; If f is the real valued function, f is continuous on [a, b],…

Q: lim [√9x² - 4x + 3x] x→−8

A:

Q: Find the first and second derivatives. f'(x) = f"(x) = A. FI b) Identify the graph that displays f…

A: The given function is .

Q: A region bounded by f(y) = y², y = 2, and x = 0 is shown below. Find the volume of the solid formed…

A:

Q: 3. Evaluate the limit if it exists. Show all work in the space provided. Enter your simplified…

A: We need to find the limits of the given functions.

Q: Consider the differential equation: y = 3y - 2x Using a pencil, graph the isoclines. Also, using a…

A: The differential equation isFormulas used,

Q: Evaluate the given integral by changing to polar coordinates. 16 x dA, where D is the region in the…

A: Polar to Cartesian coordinates

Q: What is t'(x) when t(x) = -2e5*? Select the correct answer below: O t'(x) = -2e5x O t'(x) = -10e5x-1…

A:

Q: Differentiate the following function. F(x) = (²x)¹ F'(x) = =

A:

Q: Solve the given initial-value problem. d²y d8² y(0) = + y = 0, y(π/3) = 0, y'(π/3) = 4

A: Here,  We know that, for the homogeneous 2nd order equation of the form  , the characteristic root…

Q: For the questions 17 to 19, find the average value of the function over the interval, and find the…

A:

Q: дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³

A:

Q: Find the value of all six trigonometric ratios for e= - Зл 4

A: The given angle .We have to find all the trigonometric ratio values for the given angle.

Q: Suppose the second derivative of f is given by f"(x) f is concave up on = Enter your answer using…

A:

Q: You are given the four points in the plane A = (-7, 6), B = (-4,-1), C = (1,7), and D = (5,-1). The…

A:

Q: 9 8 7 6 5 4 3 2 + 2 3 -4- -5 -6 -7 -8- 9- -10+ 2 The graph shows y = h(z), and we define g(x) =…

A: Here we will solve the first part according to answering guidelines.Here we have given a function…

Q: Part 1 of 3 Suppose m is a continuous function. The two integration facts below can be used to…

A:

Q: The angle of elevation is an angle measured from the horizontal up. O True O False

A: Statement : The angle of elevation is an angle measured from the horizontal up.

Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

A:

Q: Determine dy dx for the equation 4x² − 5xy³ = 7y. USE the implicit differentiation. DO NOT use the…

A:

Q: ASK YOUR TEACHER When a vertical beam of light passes through a transparent medium, the rate at…

A:

Q: 2 Use the derivative f'(x) = x²(x - 5)(x + 2) to determine the local maxima and minima off and the…

A:

Q: Find the nth Taylor polynomial for the function, centered at c. 1 === =27/2/² n = 4, c = 2 P4(x) =…

A:

Q: Find the derivative of y = 5.20 - x². dy dx - J

A: The Sum/Difference Rule:The Power Rule:And

Q: lowing fx)=3 cos +9 function represents the depth of water at the end of a boat dock where f(t)…

A:

Q: How long should a wheel chair ramp be if the angle of incline is to be 33° and the vertical end of…

A: To determine the length of a wheel chair ramp if the angle of incline is to be  and the vertical end…