The marginal cost function for Mark Hall's bulk greeting cards is given by C(x)=4x-0.75 dollars per box when x boxes of greeting cards are sold. The total cost of making and shipping 30 boxes of cards is $66. Find the company's cost function, in dollars, when x boxes of greeting cards are sold. (Round any numbers to two decimal places if necessary.) Cx-16(0.25 (20) 0.25)+67 × Submit Answer

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: To make sure the solution is clear and accurate, let's go over it step-by-step in detail. Problem…

Q: Calculus I  May I please have clarification about how the equation was simplified? Thank you

A: Step 1:   Step 2: Step 3: Step 4:

Q: x² 23.x 4469 The velocity of a car in miles per hour varies according to the function F(x) = + where…

A:

Q: 1 10 +5 dx

A:

Q: ☐ ☐ 3. By hand, sketch the slope field for dy - dx y² - 2y where x = [-3,3] and y = [−3,3]. Then…

A: Step 1: To solve this problem, we need to follow these steps:4. Sketch the slope field: Draw small…

Q: Find the derivative. f(x)=x sinh(x) - 12 cosh(x)

A: Solution:f(x)=xsinh(x)−12cosh(x)Differentiating both sides, we get…

Q: 口 1. Let F(x) = * ƒ(t)dt, where ƒ is the function whose graph is shown. -5 0 5 LO 0 -5- O (-4,0) On…

A:

Q: In a certain city the temperature (in °F) t hours after 9 a.m. was modeled by the function πt = T(t)…

A:

Q: What would be the formula for A(X) on (2,4] for the attached graph of A(X)

A: Given graph is :

Q: πT πT Suppose = 2 and f' cos(x) = −5. Let g(x) = f(x) sin(x) and h(x) = = Find the following. 3 3…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

A: To analyze the function f(x) and determine where it is not continuous or differentiable, let's…

Q: Can you find the critical numbers in the function

A: To find the critical numbers of the function f(x)=3x4+8x3−48x2, we need to follow these steps: Find…

Q: Suppose that a large mixing tank holds 400 gallons of water in which 60 pounds of salt have been…

A: To determine the differential equation for the amount of salt A(t) in the tank at time t, we need to…

Q: please solve c and d

A: Part: a)part b:Part c:part d:

Q: Let F(x) = f(x)+g(x), where the graphs of f and g are shown in the figure to the right. Find F'(2).…

A: Step 1: Step 2: Step 3:

Q: Can you explain part b for me please

A: Step 1: Step 2: Step 3: Step 4:

Q: 2) Solve: (x - y)dx + (x + y)dy = 0 (Hint: The equation is homogeneous).

A:

Q: +x+4 x3 + 4x xp-

A: If you have any questions let me know in comment box thankyou for your question.

Q: Suppose that f(x) = 16x5 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Detailed explanation:     These steps provide the complete solution for the given function and its…

Q: In the following cases, find the maximum and minimum values of the functions, subject to the given…

A:

Q: Find the critical point of the function f(x, y) = 9x² + 7y² - xy + x. Then use the Second Derivative…

A: Step 1:  Step 2: Step 3: Step 4:

Q: MAT 134 - 770 Summer 2024 = Homework: Section 1.1 Homework Question list Question 1 Question 2 K…

A: The function given is G(x) = 1 / (x + 4). This is a rational function, where the numerator is a…

Q: Given the function f(x) 6x2 3x+5. Calculate the following values: f(-2) = f(−1) = f(0) = f(1) = f(2)…

A: Step 1:   Step 2: Step 3: Step 4:

Q: Determine the following limits, using oo or - co when appropriate, or state that they do not exist.…

A: a. limx→4+​(x−4)2x2−6x+5​ As x  approaches 4 from the right (i.e., x→4+ ), the numerator x2−6x+5…

Q: K Find an equation of the plane tangent to the following surface at the given point. 1 cos (xyz) =…

A: Step 1:To find the equation of the tangent plane to the surface defined by cos(xyz)=21​ at the point…

Q: 13.13. Question. Show that y₁ (x) is a solution of the given differential equation. Use reduction of…

A: The given differential equation is : xy′′+y′=0;         y1​=lnx Rewrite the given differential…

Q: Write the first four terms of the sequence whose general term is given below. an = n 3 n! a₁ = =…

A: Step 1:   Step 2: Step 3: Step 4:

Q: sin(x)cos³ (x)dx

A:

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: Step 1:Step 2:Step 3:

Q: The functions f and g are given. Evaluate fog and find the domain of the composite function fo g.…

A: Concept to be used:For any two functions f,gthe composition function f∘gis defined…

Q: For each pair, determine if the planes are parallel, orthogonal, or neither. Explain your answer.…

A: In calculus, two planes are said to be parallel if their normal vectors are proportional, i.e., one…

Q: 5. [-/1 Points] DETAILS LARCALC12 8.4.502.XP.MI. Find the integral. (Remember the constant of…

A: To find the integral (∫4−x2​x​dx), we can use a trigonometric substitution.  First, recognize that…

Q: Can you draw a graph of f and then use it to find the absolute and local (maximum and minimum)…

A:

Q: Evaluate the following integrals, clearly showing all of your work.

A: Question: Evaluate the following integrals, clearly showing all of your work  ∫9−x2​1​dx Answer…

Q: Course Hom Homework 5 Homework 5 Score: 21/22 21/22 answered Question 21 Find the Maclaurin series…

A: 5. Summarizing the SeriesTo make it clear, the final series (reverting k back to n) is:This…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A:

Q: f(x) = x+1 g(x) = log(102tan¹(x)), h(x) = x . 1) Find lim f([h(x)]²) X-1 2) For the following…

A: Step 1:Step 2: Step 3: Step 4:

Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the…

A: Step 1:    Step 2: Step 3: Step 4:

Q: Let & be continuous in [a,b] and differentiable in (a,b). Its true that: a) f is strictly decreasing…

A: Step 1:

Q: old test for review. thanks.

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Find the velocity at time t (in ft/s). v(t) = A/ When is the particle at rest? (Use commas to…

A:

Q: Could you explain this in a way such that I don’t need to use a calculator to solve it but instead…

A: To determine the correct statement regarding the function  f(x)=x5+12x+19  in the interval [-1,6],…

Q: S retan³ (e)sec² (e²)dx

A:

Q: 1) Solve: csc(y)dx + sec²(x)dy = 0 (Hint: Use separation of variables).

A:

Q: Let f(x) = 9(x7) 2/3 + 4. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…

A: Step 1: Step 2: Step 3: Step 4:

Q: = f(t), t≥ 0, where t is A particle moves according to a law of motion S = measured in seconds and s…

A: Given: s=f(t)=0.01t4−0.08t3 Part (1)Since velocity is the first derivative of position with respect…

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A:

Q: A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Total length of wire = 30 m Let the piece of wire that is bent to a square be = xThus, piece of wire…

Q: Can you help me with the third part please!

A: Applying Integrals, A. Calculating total change (distance traveled) of the aircraft Using a…

Q: I need help with this problem and an explanation for the solution described below. (Calculus 3:…

A: The given equation is x3 + y3 = (7/10)xyz. We need to find the error term E(x, y) at the point (5,…