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Q: Optimization Assignment - Paperwork and Video Lone Depot and Homes are two competing home…

A: Step 1: Step 2: Step 3: Step 4:

Q: MAT441 CALCULUS II - PROJECT #4 Exercise 3 Find the derivative of tanh¹(y) = 3x3³- In(yr²) with…

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Q: The graphs of f(x) = x and g(x) = ax2 intersect at the points (0, 0) and (1/a, 1/a). Find a (a > 0)…

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Q: Sketch the graph of the equation. y = log₁/5(x) + y 2- 4 x -2- -2 0 เ 2- b -2- + 2 + y 2- -2 0 2 -2-…

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Q: Show that the points P(1,1,1), Q(2,3,2), R(3,-2,5), and S(4,0,6) are coplanar

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Q: Please do 4

A: 4. (a) To Evaluate: ∫C​x ds, where C is the arc of the parabola y=x2 from (0,0) to (1,1). Let x=t,…

Q: Over the next 5 years, a company projects its continuous flow of revenue to be R (x) = 90e0.15x…

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Q: (a) Evaluate the integral 2 32 -dx. x² +4 Your answer should be in the form kл, where k is an…

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Q: if f(x) = 15 - g(x) for [-2,2] what is the integral from -2 to 2 of (f(x)-g(x))

A: Step 1: Given, if f(x) = 15 + g(x) for [-2, 2] we need to find the integral from -2 to 2 of…

Q: 2 Given f(x) = x²-3x-4, find the difference quotient h2+2xh+x2-2h-3x-4 Oh-2x+3 O h h²+2xh+x² -…

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the work done along the path C, over the vector field F(x,y) =〈9x2,4y〉for each of these…

A: The answers are attached in the form of images:

Q: Let f(x) = x², and compute the Riemann sum of fover the interval [7,9], choosing the representative…

A: Step 1:Step 2:Step 3:Step 4:

Q: Dave is driving on an American Interstate highway which has a speed limit of 55 mph. At 2 pm he is…

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

Q: Test the series below for convergence using the Ratio Test. n= (-1) "42n+1 (2n+1)! The limit of the…

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Q: Solutions to question 3 please

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Q: Consider an ellipse E with semimajor axis a and a semiminor axis b. Show that the ellipsoid that…

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Q: 2. Approximate the area under the curve y = x² from x = 0 to x = 2 using a Right Endpo approximation…

A: The objective of this question is to approximate the area under the curve y = x^2 from x = 0 to x =…

Q: What is the fourth degree Taylor polynomial of the function f(x) = xe* at the number a = 0?

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Q: Find the second-degree Taylor polynomial for f(x) = √x centered at a = 100. Also obtain a bound for…

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Q: Solve the equation for x. 35x-2=3 18 X =

A: Last option is correct.

Q: Let u = (-3, 1) and v = (0,3). Compute the following: u.v= • = | | i|| 2 = −1 (u · v) • (−1ū) · v ū⋅…

A: Step 1:Step 2: Dot Product (·):The dot product measures how much two vectors are aligned with each…

Q: Q5

A: 1. First, we look at what's under the line in the integral2. We make it simpler by changing it into…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: To determine whether the integral ∫0∞​(x2+38)2x​dx is convergent or divergent, we can analyze its…

Q: Find the relative maximum and minimum values. f(x,y) = e²x² + 7y²+8

A: Step 1:Let's find the relative maximum and minimum values of the function :f(x,y)=e7x2+7y2+8 To find…

Q: can you explain this for me

A: Step 1:Given information: The base of the circle is: x2+y2=64..Also, the cross-sections…

Q: 5.25 3 For dx -24+10x-x2 Part A: Determine if long division will be used for this integration and…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help finding theta.

A: Step 1: Step 2: Step 3: Step 4:

Q: Use a graphing utility to graph the polar equation inner loop of r = 5 + 10 cos(8) Find the area of…

A: Step 1: r=0  Step 2: Q value calculation  Step 3: puto into formula for area calculation  Step 4:…

Q: 2. g(x) = = I x-1 (a) Determine the domain (b) Determine if the graph has any asymptotes, or any…

A: a) g(x)=x−1x​ is not defined on x−1=0⇒x=1So, domain of f(x) is:             (−∞,1)∪(1,∞) b)Find…

Q: Compute: 1+2 dx

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Q: The demand function for a television is given by p = D(x) = 49284 -0.03x2 dollars. Find the level of…

A: To find the level of production for which the revenue is maximized, we need to find the point where…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F =…

A: The objective of this question is to use Green's Theorem to find the counterclockwise circulation…

Q: The answer isn't 4. I'm not sure what I should do?

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Q: Approximate the area under the curve graphed below from x = approximation with 3 subdivisions. 3 to…

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Q: 5 √² Using the method of u-substitution, (4x-7)² dz- f(u) du where u = du a = b = f(u) == The value…

A: Given:I=∫25​(4x−7)2dxLet u=4x-7Therefore,dxd​(u)=dxd​(4x−7)dxd​(u)=4dx=4du​Also,u=4x-7, when x=2,…

Q: Find the value of the constant C for which the integral 3x 3C dx 4x + 1 (11) + converges. C =…

A: You can simplify it more by putting value of ln( 2 ). Depends on your need .ln(2)= 0.6931471806

Q: Find the best quadratic approximation, Q(x, y) of √9 - 7x + 4y for (x, y) 7x+4y near (0,0), Q(x, y):…

A: Step 1:Step 2:Step 3:Step 4:

Q: For the following fields, calculate div F. 1. F (x,y,z) = 〈2xz, -3xy, -z2〉 2. F (x,y,z) = 〈3x+8,…

A: Step 1:Step 2:

Q: Use the substitution u = √(x) to calculate the indefinite integral from image.

A: Given:∫x​+x​3dx​First, we need to simplify the denominator, we have:=∫x​+(x​)2x​1​dx=∫x​+xx​1​dxWe…

Q: Find the smallest number n of terms needed to obtain an approximation of the series 8 accurate to…

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Q: Given the function graphed below, evaluate the definite integrals. 4 3 3 2 1 2 -1 -2 -3 S 8. f(x)dx…

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Q: (iii) Figure 5.1 shows the mathematical model of a cable which is supported at two points (A and B)…

A: Q.(iii)Solution:The relationship of the x- and y- co-ordinates of a point s(x,y) on the cable is…

Q: Use semaphores to solve the barrier problem where 6 processes execute the same code shown below. No…

A: Here's a code snippet in C using POSIX semaphores to implement the solution:```c #include…

Q: [[ Suppose f(x)dx = 2, f(x)dx = -6, and g(x)dx = 7. Evaluate the integrals in parts a - d. 3 5 5 -…

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Q: Determine whether the integral is convergent or divergent. 1 41 4y-1 convergent O divergent dy If it…

A: To determine if the integral ∫01​4y−14​dyis convergent or divergent, we can use the limit…

Q: 3. h(2) = re* (a) Determine the domain (b) Determine if the graph has any asymptotes, or any kind(s)…

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Q: 3. Given the piecewise function, find each function value. (1 pt each) a) f(0)= b) f(12) = (x+4)²…

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Q: you don't need to give the equation for (a). I just need help with the other questions

A: For any query with the solution, please ask in the comment box.

Q: Find the average rate of f (x) = (x + 1)² over [-1, 2]. 5/3 2

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Q: Please see image

A: Step 1: Step 2: Step 3: Step 4: Step 5: step 6