Solve the problem. At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute. QA Inspector Efficiency Inspector efficiency, % defective cookies eliminated 100 90 80 70 60 (9,98) 10 11 12 13 14 15 Belt speed, feet per minute (18,60) 16 17 18 a. Find an equation of the line through the given points Write the equation in slope-intercept form Round the slope and v-intercent each to 1

Q: 2x 4. If x = (1, -2, 7), ³ = (0, 5, 1), and z = (1, 1, -2), then what is the value of a. 6 12 b. 7…

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Q: Calculate the integral approximations To and Me for (Inx)-¹dx. Your answers must be accurate to 8…

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Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: f(x) = x²e-x. Note: It is known that lim…→∞ x²e -X

A: f(x)=x2e-x

Q: Problem 13 Find the solution of the initial value problem x' = Ar, with A- (₁₂2) and 2(0) = (-¹₁).

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Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: Find the first few nonzero terms of the Maclaurin series for the given function. f(x) - In(1-3x)…

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Q: Part a) Use the steps demonstrated in this module to find an equation for the logarithmic function…

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Q: Solve the following differential equations ** - 2x +2y=x²₁ dy dx

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: 8 3 + 8 2 + 18 3 3 + 8 3 +. ...

A:

Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The given differential equation is;  9y''-16y=sin(x)

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

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Q: Find the indefinite integral. Hint: u = x - 1 implies x = u +1. x(x-1)dx

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A: Given integral  ∫0e0ln( 2x )dxAs we know that e0 = 1∫01ln( 2x )dx

Q: 9. A = (2, a 3) and B = (-1,-2) are - perpendicular each other, a=?

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Q: 9-12 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Evaluate the given definite integral. 6 x√x-6 dx

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Q: Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

A: To evaluate the following integral. ∫-21ex-25e2x+6ex+5 dx

Q: What is the rectangular form of the polar equation? 0 = 7T --V³ √3 ○ y = √3x ○ y = -√3x O y = Oy: =

A: Solving the problem

Q: ind the equation of the curve whose y" = ○ y=2 sin-¹ (2) — 4³-√3 -1 - O y = y = sin¯¹(x). X sin (x)…

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Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

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Q: 11. Let y = 2x² - 5. Find the differential dy when x = 3 and dx = 0.01.

A: given y=2x2-5

Q: Solve the following differential equations dy dr² dy -9x+24y=0, y(1)= 1,y(1) = 0 dx

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Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

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Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0

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Q: Use the Chain Rule to find az/as and az/at. дz əs əz at || || z = tan(u/v), u = 8s + 2t, v = 2s - 8t

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Q: Evaluate the integral. TT/2 [*¹²7 cos²(0) do de

A: NOTE: Refresh your page if you can't see any equations. . use the formula: cos2x=1+cos2x2

Q: x7-9

A: We know that the integral of x^n dx= x^(n+1)/(n+1)

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Q: 1-16 Evaluate the line integral, where C is the given curve. 1. fcyds, C: x= t², y = 2t, 0≤ t ≤3

A: To evaluate the following line integral. ∫C y ds, C: x=t2, y=2t, 0≤t≤3 Note: Since, the student has…

Q: 3. Find the linear unbounded operator A and its domain D(A), and write the system in the form U₁ =…

A: We need to find the linear unbounded operator A and its domain D(A), and write the system in the…

Q: Find f. f"(x) = 1 - 6x + 48x², f(0) = 1, f'(0) = 2 1.

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Q: Consider two linear equations in two unknowns: a11x1 + a12x2 = b₁ a21x1 + a22x2 = b₂ which can be…

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Q: Let f(x, y, z) = 3x6y + 2xy + 4yz7. Find the requested iterated partials. (Use symbolic notation and…

A: f(x,y,z)=3x6y+2xy4+4yz7

Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: Find the area of the specified region. Inside the limacon r- 8+4 sin @ O 72m+ 64 O None of the other…

A: To find the area inside the limacon r=8+4sinθ Graph

Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: Find the average value of the function f(x)= xex² over the interval [0,2].

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Q: The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t…

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Q: Let f(x, y) = x+y+xy. d First, find g(x, y) = f(x,y). Then, calculate g(2, 3). (Enter the exact…

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Q: Part 4 Use the table function of a graphing utility to create a table for the function and use the…

A: Given :- (4) limx→1x-1x2+2x-3               (5) limx→-32x2+4x+1

Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

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Q: Compute the integral f/4 tan² (x) dx.

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Q: 2^32cos2x is not a correct solution for the equation submitted

A: We will find first few derivative directly and then use that pattern to find solution.

Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

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