12. Explain what the Average Rate of Change and Instantaneous Rate of Change are. Use graphical diagrams and make up an example for each case.

Q: 5

A: This is an optimization problem as we need to maximize the area of the rectangle divided into three…

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Q: A Publically traded company has issued $50M worth of stocks. The stock holders expect a rate of…

A: 1. Cost of Equity (Ke):The cost of equity is given as 12%.2. Cost of Debt (Kd):Kd = 10%3. Cost of…

Q: This gives us TA 1 8 cos(0) + 16 cos( os() +16 cos COS(1) +16 cos 4 COS(1/6) + 8 cos(1) 5(1)] = 8 =…

A: Step 1:Step 2:

Q: Practice

A: Given values:Forces:F1 = 19 NF2 = 32 N Angle between them:θ = 118o Introduction:We know, resultant…

Q: 1ASC Nom parfait :..... ASC Exercice 5 Ahmed a 26 ans et sa sœur Sana a 8 ans. Après combien…

A: Pour résoudre ce problème, nous pouvons définir x comme le nombre d'années après lesquelles l'âge…

Q: n=1 8n +2n gn

A: Step 1: State the given summation: ∑n=1∞​9n8n+2n​ Step 2: Expand the summation:…

Q: solve and replace in the equations

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the open t-intervals on which the curve is concave downward or concave upward. (B x = 3t+…

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Q: Determine the open t-intervals on which the curve is concave downward or concave upward. (Enter your…

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Q: Evaluate the integral and express your answer in simplest form. -1 dx √16-16x2

A: To evaluate the integral ∫16−16x2​−1​dx, we can first recognize that it resembles the form of the…

Q: 2) Let g(x)=2x+2 - 3. Using transformation to sketch the graph for g(x).

A: This is how the graph looks for the given function.

Q: An object is dropped from a tower, 1296 ft above the ground. The object's height above the ground t…

A: Step 1:

Q: Which of the following functions has the smallest average value on the given interval? Select one:…

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

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Calculate the partial derivatives fx (x, y) and fy (x, y) f(x, y) = sin(3x) cos(3y)

A: Steps and explanations are as follows;In case of any doubt, please let me know. Thank you.

Q: What point (if any!) of the curve h(x) = x^3, does the normal have a slope of 15

A: The objective of this question is to find the point on the curve h(x) = x^3 where the normal to the…

Q: 7. Match graphs 1-4 to their correct derivatives A-D, write the answer on the line. 1. A Sketch -2…

A: When a function is increasing, it's derivative will be positive and when a function is decreasing…

Q: This gives us 1 M4 = [8 cos(1) 9 + 8 cos 64 Cos(24) + 8 cos(255) + 8 cos(4)] 49 64 64 × (rounded to…

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Q: Please help!! Be thorough and double check your work... thank you so much!!

A: Step 1:Step 2:Step 3:part c At θ = π/6 Calculate on according to value of part b;dD/dθ = 6cos2θ…

Q: I just need you to answer question g.) using the graph.

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 2 3/2 What is the value of √ff e(²² +3²+²²)³½³ dV, where B is the unit ball, x² + y² + z² < 1? 4 π…

A: Step 1:​I=∭B​e(x2+y2+z2)3/2dVB is the unit ball, x2+y2+z2≤1​Step 2:​Using spherical…

Q: Calculate M6 for f(x)=sqr(3x) for [2,5]

A: Step 1:To approximate the integral of f(x)=3x​ using the midpoint rule with n=6 subintervals over…

Q: Use Maclaurin sereies to compute the lim x-&gt; infinity e^(-2x^2) - cos(2x)/ x^2 *ln(1+5x) -5x^3

A: We have to evaluate the limit:limx→∞​x2ln(1+5x)−5x3e−2x2−cos(2x)​                     ..... (1) The…

Q: (9 and 10) Explain how to solve these question in detailed steps.

A: Thanks for your patience!.Kindly comment if you need any clarifications.

Q: Please please be thorough. Double check your work and the questions!! Please complete the first…

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Q: Evaluate d Vt2+2t dt dx 2

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Q: Use known Maclaurin series and operations on power series to nd Maclaurin series for the following…

A: Step 1: To find the Maclaurin series for x^7cos(4x^5), we can use the Maclaurin series for cos(x)…

Q: Use the integral test to determine if the series 6x-6 dx 3x²-6x+6 6n - 6 converges or diverges.…

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Q: O If ³₂[2f(x)+2]dx = 18 and √ √₁² f(x)dx = −8, then √,³f(x)dx is equal to which of the following? 04…

A: Recall the Integral of the Function over Adjacent Intervals: If f is a continuous function and c is…

Q: A sphere, centered at the origin, has radius 2. Find integrals that compute its volume, using…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x)=4x²…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Question 6 Evaluate the following Integrals. (a) |√1-de dr 422 (b) 25 √1+x² dx (c) s sin (1/x) -da…

A: Step 1: Step 2: Step 3: Step 4:

Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: 3e2+2 sin x is a solution of the initial value problem 1. Show that y = y-2y=2 cos x - 4 sin x, with…

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Q: Use the square root method to solve the equation. y²-12=0 ○ A. 6 OB. ±2√3 OC. 2√3 OD. 144 K

A: The objective of this question is to solve the given quadratic equation using the square root…

Q: find limit,if exist

A: The objective of the question is to find the limit of the expression 'x cos(1/yz)' as (x,y,z)…

Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic…

A: Step 1:Step 2: Step 3: Step 4:

Q: - ⑪The two lines with equations 7 = (1, 2, −4) + (k + 1, 3k + 1, k − 3), te R, and a = 2 - 3s, y = 1…

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Q: For the function f(x) = 6x2 + 2x, evaluate and simplify. f(x + h) − f(x) h

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Consider the series Σn-1 an where an (2n+8) 2n (-5n-3)n In this problem you must attempt to use the…

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Q: Find the general solution of y' = 5 (y — 17). y(t) = = Note: Use C for the constant. Find the…

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Q: (a). a² + b² + c² Δ In a AABC, cot A+ cot B+ cotC = 2 +C (b) a + b + c 4A (c) a² + b² + c² (d) a² +…

A: Step 1:

Q: Find and simplify the derivative of the following function. f(x) = 3x5 (2x²-1) The derivative of…

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Q: ← www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-lgNslkr7j8P3jH-IB-d4xj11 PLIKACnhGTWihclRH MCSD…

A: (a.) The given percentage in the sentence is: 7% Recall that a percentage is a number expressed as a…

Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

A: Step 1:

Q: solve and replace in the equations

A: Step 1: To solve the system of equations, we can use substitution or matrix methods. Let's first…

Q: Determine if the vertex of the graph is a maximum point or a minimum poin y=x²-6x+9 O Maximum…

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

Q: 2. The All-Powerful Theorem of Calculus Using all your knowledge acquired in this unit during the…

A: The objective of this question is to find the derivative of the given function y = sqrt(u) du with…

Q: Using the attached theorms, Solve dx/dt =10x-20y , dy/dt=8x-18y

A: solution to the given question is like this;first find eigen values and check they are real distinct…