Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon is given by f(x) = 4x³ - 27x² +82x. a) Your acceleration at 4:30pm is mi/hr² (Round to the nearest tenth.) b) You are O speeding up. slowing down.

Q: If the cost, C, for manufacturing x units of a certain product is given by C=x²-20x+45, find the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the exact value for the expression under the given conditions. Write your answer in simplest…

A:

Q: What are all of the solutions to the trigonometric equation 2 cos²0-2sin²0= -√3? O@=+2 and 0= 5x 6…

A:

Q: Use an identity to find the exact value of the expression. cos(135° +150°) O√√6+√√2 4 √√6-√2 4 √√6 +…

A: equation cos( a +b) =cos(a) cos(b) -sin(a) sin(b)cos()=cos() =sin()=sin() =

Q: At which angle is seco = √2? 7x 6 5x 4 7″ 11/ 6

A:

Q: Is there a point on the curve x = = t³, y = 3t, z = t4 where the osculating plane is parallel to the…

A:

Q: 9-24 Find the exact length of the curve. 21. y = x² 2 4 In x, 1≤x≤2

A: Given:We are required to find:

Q: The graph of y² = = x is called a semicubal parabola. Determine the constant b 1 so that y = -x + b…

A:

Q: n Using the Riemann sum definition of integrals, find lim Σ n→∞ j=1 n n² + j²

A:

Q: Verify the identity. sin 4x sin 2x 11 Statement sin 4x sin 2x cos 4x cos2x Validate cos4x cos2x sec…

A:

Q: Mathematics Exercise: Find y 10x nghi CHS, 210-sink Ⓒy=cscx - 4√x +7 cotx 55cx- cotx helt > y = dy…

A:

Q: Find lim g(x) if g(x)=- x→4 [5√√x T if x #4 if x = 4

A:

Q: Find a power series for the function, centered at c. 4x g(x) = x²+2x-3 g(x) = Σ n = 0 C = 0…

A:

Q: onsider the function f(x) = 2x - e³x. nter the number of critical points/numbers of f(x). etermine…

A: Since we are given with the multiple number of question  and our guideline is solve first  question…

Q: Find the length of the curve. r(t) = 9i + 4t²j + 5t³k, 0≤ t ≤ 1

A:

Q: Find the curvature of r(t) = (3t, t², (3t, t², K = t³) t³) at the point (3, 1, 1).

A: We are required to:

Q: Find the formula an for the nth term of the geometric sequence satisfying the following conditions:…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Suppose that functions f and g and their derivatives with respect X to x have the values shown to…

A:

Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) =

A: The given differential equation is

Q: ]]] (−2x + 4y+z) dxdydz

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) [x√³ x√5 - x dx

A:

Q: Find the derivative of y with respect to x. 1 -1 √/9x² −1+ sec¯¹3x, x> 2 3 y = cot

A: we have given function To Find: find the derivative

Q: Explain in words (point form is acceptable) the transformations and the order you would apply them…

A:

Q: -6x 10) Find the second derivative of f(x) = 3e³x − 8e¯ºx

A:

Q: Question: One model for the spread of a rumor is given by dt/dx = k/x(N-x), where x is the number…

A:

Q: Given the sine function below, which statement is FALSE?

A: The amplitude of a function is the amount by which the graph of the function travels above and below…

Q: Let f(x) = 2x³ + 3x² - 120x-5. a. Find all points on the graph of f(x) at which the tangent line is…

A: Slope of the tangent line at a point to a function is the derivative of the given function at that…

Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) =

A:

Q: Given the demand equation x = 135e-p/46, where p represents the price in dollars and x the number of…

A:

Q: e conse g(x, y, z): ctor 2 + X for the potentia x2 Y XZ - − 3 ) ₁ + ( ² + 5 ) ₁ + ( ² − 3 ) ► k 2 Z…

A:

Q: tan 11 t 12 X

A:

Q: Tutorial Exercise The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug…

A: The temperature at a point  is , measured in degree Celsius. A bug crawls so that its position after…

Q: Find the general solution of the given second-order differential equation 18y" - 9y' 5y = 0 y(x) =

A:

Q: For the function f(x,y) = sin (3x − 7y), find of of dy of af and ?x ду

A:

Q: Convert the polar equation r = 8cos 0 to a rectangular equation. Ox² + (y-8)² = 16 O(x-4)² + y² = 16…

A:

Q: 4. Find 3v - 3u using the following vectors: u =

A:

Q: Find the derivative of f(x) =14sin(x)-73cos(x) when x = 2 2 Make sure to show your work neatly and…

A:

Q: Convert the equation x = -1 to polar form and use Desmos to sketch its graph. The resulting polar…

A: To find:-

Q: 1 tan 3. Describe the following characteristics for the function = t on the interval [-27, 2π].…

A: Y=

Q: The indicated function y1(x) is a solution of the given differential equation. Use reduction of…

A:

Q: Find the general solution of the given second-order differential equation. 16y"8y' - 3y = 0 y(x) =

A:

Q: 2. Identify the values of x on the graph where the derivative is undefined. Explain why in each…

A: We will use concept of discontinuity to find the solution.

Q: Find the general solution y(x) = of the given higher-order differential equation. y(4) + y + y = 0

A:

Q: Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when x =…

A: Instantaneous  rate =

Q: Determine d²x a. O A when 4x2 + 3y2 = 4

A: We have given an equation 4x2+3y2 = 4

Q: Find the derivative of f(x) f(x) = 2x+7-56 when * = Make sure to show your work neatly and attach to…

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 1 Συντα 2. n…

A:

Q: Find the absolute maximum and minimum values of the following function on the given set R. f(x,y)=x²…

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: