It has been determined that the cost of producing x units of a certain item is 8x + 920. The demand function is given by p = D(x) = 41 -0.25x. Step 2 of 2: Find the profit function.

Q: Find the derivative and domain for the function f (x) = = 3x-2 5x2–25

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Q: The equation y'-y=4te is a first order linear DE in standard form. True O False

A: The objective is to find the correct option .

Q: K Find the unit tangent vector of the given curve. r(t) = 3t³i-12t³j+ 4t³ k 3 OA. T(t)= 1 13 3 OB.…

A: Option (B) is correct answer  For detail go through the solution I have solved step by step in…

Q: Use the four-step process to find f'(x) and then find f'(3), f'(4), and f'(8). f(x) = 2x² − 9x + 10…

A: To find f'(x)

Q: (2t3/2, cos 3t, sin 3t) from 0 to t, where 3. Find the length of the curve r(t) = t> 0. That is find…

A: Given curve is r(t)=(2t3/2,cos3t,sin3t) Note:- As per Bertleby Guideline I have to solve only first…

Q: 2. Prove that there is some positive number such that 07-20+ sin(0² + 1) = √5. Your proof mus quote…

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Q: Find the distance from the point S(5, -6,6) to the line x = 10t, y = 6t, and z = 7t. The distance is…

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Q: Draw a graph to match the description given. G(x) is increasing over (-∞, -2) and (2,00) and…

A: Given query is to find the graph with Indicated properties.

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

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Q: Use substitution to find the Taylor series at x = 0 of the function 16 sin (-x). What is the general…

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Q: (a) f'(-3) (b) f'(-2) (c) f'(-1) (d) f'(0) (e) f'(1) (f) f'(2) (g) f'(3) y = f(x) 1 0 X

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Q: Use the Squeeze Theorem to evaluate: lim 70 71³ sin Z +

A: The given limit is limx→07x5sin5x+3. We have to find the limit using squeeze theorem.

Q: Evaluate the integral. ・/2 [ Зп 4 C 9 cos2(0) de X

A: Here we have to find the integral.

Q: For the following function find (a) f(2), (b) f( − ½3). (c) f(a), (d) f if x #2 f(x) = 2x+4 x-2 7…

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Q: 5 x² + 6x +18 da = +C

A: To evaluate the following integral. ∫5x2+6x+18 dx

Q: Use algebra to evaluate the limit. [Hint: Multiply by √36+h+6 in numerator and denominator.] Enter…

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. n²(n+2)!…

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Q: (-1)" n=0 6n

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Q: the maximum value isn't correct

A: There is mistake in sign while calculating maximum value of function.  I have corrected it .

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: Alphonso's data plan costs forty-five dollars a month, plus 0.25 dollars for every gigabyte he…

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Q: The graph of y = f(x) is given below. Answer each of the questions below the graph.

A: (a) Domain: domain of a function is the collection or interval of x where the graph of the function…

Q: dy dt Given y' + 2ty=2te-2, p (t) = 21 and hence the integrating factor is µ(1) = e 21 ore ¹². Given…

A: The given differential equation is: y'+2ty=2te-2t

Q: Odd, even or neither?

A: Given query is to find function is odd or even.

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: The given function fx, y=x2-y2 subject to the constraints x2+y2=81. We have to find the maximum and…

Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of…

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Q: əz Use the chain rule to find and əs z = tan (4), дz at u = 7s + 5t, v = 5s - 7t

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Q: You know that: 16 •f f(t) dt = 31 0 ■ ■ f(4) = 21 f(16) = 25 - Evaluate: f(4 ln(x)) L I dx = Upload…

A: Given that ∫016f(t)dt=31, f(4)=21 and f(16)=25

Q: The graph of f is the solid black curve. Which blue dotted graph represents the graph of f(t)dt ?

A: This is a problem related to integration. Please follow the procedure given below.

Q: The graph of y = m(x) is given below. Answer each of the questions below the graph. 10+ 11 -10 -9 -…

A: The graph is given

Q: D 4 Describe verbally the transformations that can be used to obtain the graph of g from the graph…

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Q: Write an equation of the circle with center 4,-5 and radius 12

A: Given query is to find the equation of the circle.

Q: Given the points  A(1,2,3) , B(5,4,3) , and C(2,1,2),  find  | AC | .

A: Given query is to find the distance between A and C.

Q: can you explain this in further detail? I can't quite understand how you got 44400. And how the…

A: Since the student has mentioned to solve this question with detail explanation. So, we are solving…

Q: 5. Let f(x, y) = 3 xy³ x² + y6 (a) 0 (b) 1 (c) -1 (d) 1/2 (e) Does not exist. Find lim f(x,y). (x,y)…

A: The point (0,0) can be reached along so many different paths. If each path results in a different…

Q: Determine the formula for the function represented by the integral. |t| dt (Express numbers in exact…

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Q: 6. Find the intersection point of this pair of lines. L₁(t) = (1 + t, 2+t) L₂(s) = (5 – 2s, 3+s)

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Q: b b [²xettdx = = 1²e+du O True O False

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Q: Evaluate the integral 4 sec (4x) (4 sec (4x) tan (4x))dx. Se4 sec 4 sec (4x) (4 sec (4x) tan (4x))dx…

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Q: Find all the second-order partial derivatives of the following function. h(x,y) = 3xe + 4y + 7

A: Here is the solution:

Q: Use the graph to investigate the following limits. (For each limit, enter an integer. If an answer…

A: limx→af(x) exist if limx→a-f(x) =limx→a+f(x)

Q: Suppose that a, is a convergent series, where a, #0 for all n ≥ 1. Prove that n=1 is a divergent…

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Q: Find the center of mass of a thin plate of constant density covering the region bounded by the…

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Q: Find the instantaneous rate of change for the function at the given value. f(x)=x² + 4x atx=1 The…

A: Given query is to find instantaneous rate of change.

Q: Suppose that w = xe, dw dt Find where x = t², y = 1-4t, and z = 1+9t.

A: Given; w=xey/z, x=t2, y=1-4t, z=1+9t.

Q: 7. A piece of copper in the form of a rectangular parallelepiped has edges of lengths 2, 4, and 8…

A: Given:- Length of parallelopiped l=2 cm Width of parallelopiped w=4 cm Hieght of parallelopiped l=8…

Q: A plane flies horizontally at an altitude of 5km and passes directly over a tracking telescope on…

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Q: 2. The region bounded by y = 3x - x² and y = x is revolved about the y-axis. Find the volume of the…

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Q: Find the volume of the shape created by rotating the region between sin x and cos x from [0,pi/4]…

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Q: A record company has determined that the cost of producing CDs is $0.06 per CD plus $597.60 per…

A: to find out the profit function equation and also we need to find out the break even point.