The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given by C(2)=3000 In (4x2 500 If the manufacturer is currently producing 70 components each day, by how much can the cost be expected to change if production is increased by one component each day to 71 components each day? Round to the nearest cent. An increase of $

Q: Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2cose, y = -2+ sine.…

A:

Q: Consider the function f(x, y) = x²y + y3³ - 48y. f has a maximum f has a minimum く at (-4√3,0). at…

A:

Q: (c) [6 pts] In(x + 1) In(1 - x) = 2. I (d) [7 pts] 2.31-2x = 7.64+x

A: Question cx = 0 and 3 Question dx=−3ln(3)+ln(2)3ln(2)+3ln(3)+ln(7)​≈−1.835Another way of expressing…

Q: This is an upload question. Use the piecewise defined function below to answer the questions. 3 X O…

A: a)f(4)= 1/4 b)y-intercept (0,6) c) Graph is attached  Explanation:

Q: A. Compute the gradient of f. vf= i+ Note: Your answers should be expressions of x and y; e.g.…

A:

Q: dy Use implicit differentiation to find without first solving for y. dx -16x³ + 4x16y+y₁ = 77

A:

Q: 2. (Series) Determine if the following series converge or diverge. If it converges, find the sum. i.…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Estimate Ay using differentials. y = x 1/2e4x-1, a = 1, dx = 0.1 (Give your answer to four decimal…

A:

Q: In this problem, p is in dollars and x is the number of units. If the supply function for a…

A: 996Explanation:Detailed explanation:

Q: Use implicit differentiation to find y' for 5x³y² + In (xy²) = 5 and then compute y' at (1, −1).…

A: Answer ::The final answer is 1211​Explanation:sol) Hence,The final answer is1211​

Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: Sh​(160,70)≈1.948 sq.ft./lbThis means that the rate at which body surface area increases with…

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Answer :(a)  62   (b)  423​Explanation:For any query please ask in the comment box.

Q: lim Vn!

A: Substituting stirlings approximation into the expression:limn→∞​nnn!​​=limn→∞​nn2πn​(en​​)n​…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The problem involves finding the dimensions of a lidless square-based box with a volume of 4000 cm³…

Q: Use the linear approximation to estimate (3.03)³ (1.03)³ ≈

A:

Q: Problem 3. Show that the volume of the largest parallelpiped (i.e., rectangular prism with sides…

A: V = 8abc / 3√3Explanation:Here's how we can find the volume of the largest inscribed…

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 16y= 96t² - 48t+…

A:

Q: Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a…

A:

Q: - #13 Given z= f(xy) = ex+2y= en (-x-y) +xy² a) Evaluate f(-2, 1), (b) Estimate the "error" in the…

A: a) -1b) (-1.15,-0.85)Explanation:a)  b)

Q: Find f'(x). f(x)=7ex+2x-5 Inx

A: The objective of the question is to find the derivative of the function f(x)=7e^x+2x-5 ln(x). The…

Q: At the start of an observation, there are 7727.8 grams of a radioactive element present. The number…

A: The value of dt/dN at N = 25 up to 2 decimal places is:(dNdt​)N=25​=50.44Explanation:Given equation:…

Q: Find the exact value of each of the remaining trigonometric functions of 0. sin 0= 15 17 0 in…

A: Cosθ=−178​Tanθ=−815​Cscθ=1517​Secθ=−817​Cotθ=−158​Explanation:For any query with the solution,…

Q: Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of…

A: Newton's Law of Gravitation can be used to show that if an object weight w pounds on the surface of…

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

A:

Q: Direction: Please include your complete solution.

A: Question 1Slope=6x02​−6x0​Question 2The equation of the tangent line is y=2x+5. See explanation for…

Q: Evaluate the integral L 4 diverges. 2 3x ln x dx or state that the integral

A:

Q: 3 2 2(x + y)³ -✓ = 15 X

A: 2(x+y)3−y2x=15ddx[2(x+y)3−y2x]=ddx(15)

Q: Find the exact value of each expression. (a) sin 75° sin 5° = 0 (b) cos 105° - cos 15° = 0

A: Formulas are used for solving this problem:-

Q: Mercury moves in an elliptical orbit with the sun at one of the foci. The length of the half of the…

A: Length of half of major axis = 56996838 kilometersEccentricity= 0.2056

Q: What is the rate of depreciation (in dollars per year) after 5 years? The salvage value S (in…

A: To find the rate of depreciation after 5 years, we need to calculate the difference between the…

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: Can you provide me with an example (with solutions and the process involved) of how to approximate a…

A: The objective of this question is to understand how to approximate a function using Taylor series…

Q: Convert the Cartesian coordinate (-2,3) to polar coordinates, 0 ≤ 0 < 2π r = 0 =

A: r=(​13)θ=π−tan−123​Explanation:For any query with the solution, please ask in the comment box.

Q: 4 Assume that f'(3)= -5, g'(4) = 7.9(4)=3, and y = f(g(x)). What is y' at x=4? Atx=4,y= (Simplify…

A:

Q: 1 2x STAR -1

A: y(x)=1e2x−1dydx=ddx1e2x−1Using the Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

A: Correct matches are:A. 3 B. 1 C. 5 D. 4 E. 2Explanation:A.  tan⁡(arcsin⁡(x/3)) corresponds to option…

Q: Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v)…

A: The objective of the question is to solve the given integro-differential equation for y(t). The…

Q: 2) Examine the function (5) y= tan X XI2 1 Now approximate the slope of the tangent at x = 2.…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Hence the magnitude of the torque is 21.395385NmExplanation:Step 1:ForceF is [60,15,105]NForceF is…

Q: Find X1 and X2- -2 - 4 X1 -2 3 x2 H + 19 -9 3 17 X1 X₂ = 38

A:

Q: Find all points (x,y) on the graph of f(x) = 2x² - 3x with tangent lines parallel to the line y =…

A:

Q: Find a set of parametric equations for the rectangular equation y=4x-2.

A: Given a rectangular equationy=4x−2To find: parametric equations

Q: solve and include ristrictions for: In (In e (ext)) = 4 and 1 e X = 2

A:

Q: A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates…

A:

Q: Find all points where the function is discontinuous. 6 4 2- X 2 6 18 Q OA. x=2 and x = 4 OB. x=2 OC.…

A: As  is included in the domain   : Defined Function is continuous at x=2

Q: Consider the following. y= x²+27 54 y y=x³+27 x 3 (a) Write the integral that describes the area of…

A: (a)∫−30​(x3+27)dx(b)  4243​ square units Explanation:Step 1: Step 2:

Q: Σ N 3 | n² 3 2 (n + 1)²

A:

Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

A:

Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4: