Consider the following graph of a polynomial: -6 -4 2- 1 0 -1- 2 X 4 Maple plot 6 Write the factored form of the equation of the most appropriate polynomial. f(x) =

Q: For the given cost function C(x)=22500+800x + x² find: a) The cost at the production level 1450…

A: (a) Given: - The cost function is, C(x)=22500+800x+x2

Q: A circle has a radius of 6m. A sector of the circle has a central angle of 75°. Find the area of the…

A: We know that the area of the circle is  pi*(r^2)  Where r is a radius of the circle

Q: x/4 √3 sec²x dx 0 */4 3 sec ²x dx = [ 0 (Type an exact answer.)

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Q: 1. Find tan 0 if csc 0 : = A) 5/45/4 B) D) 13 5 12 13 13 5

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Q: dy dx - - 2x - 3y² + 2 = 0

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Q: At what point on the curve y = 1 + 2e* 3x is the tangent line parallel to the line 3x - y = 5?…

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Q: -2x+2y+6z=2 3x=8y+19z-28 2(x-y)-5z=x-6 Solve by using Gaussian elimination

A: This by using Gaussian elimination:

Q: Problem #1 A family of curves is given by x² - y² = k²_for k = {-00,00} Find the equation of the…

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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

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Q: Nutrition   A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10…

A: We have to find the corner points of the feasible region. A certain company′s Mixed Cereal for Baby…

Q: Use logarithmic differentiation to find dy/dx. y = xarctan (x²)

A: dy/dx using logarithmic differentiation.

Q: Calculate if y = (In(5x))4. Show all steps. dx

A: We know that the derivative of ln(x) is 1/x

Q: Use the Laws of Logarithms to combine the expression. 2 log(x) — -log(x² + 1) + 4 log(x − 1)

A: Let, y=2logx-15logx2+1+4logx-1

Q: 7. Logistic growth A population is modeled by the differ- ential equation dN dt 1.2N (1 – - N 4200…

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Q: The revenue from a manufacturing process (in millions of dollars per year) is projected to follow…

A: Given that,     The revenue from a manufacturing process is projected to follow the model,   R =…

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = logg(12 - 4x)

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Q: Use the Midpoint Rule with n = 4 to approximate the integral. Round your four decimal places. 5.¹…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t²…

A: We have to find the displacement and distance travelled in the given interval. We will use…

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = log4(x²9)

A: We have to find the domain of the function

Q: Sketch the curve. r=2 sin 8 1 2 -1 OO O O -1 1 -2 -1 O Find the area that it encloses. 1

A: r=2-sinθ

Q: 1. Evaluate the integral If. (430 R (4x + 16y)dA, where R is the parallelogram bounded by the lines…

A: To find the given integral , we can change the given integral in  terms of 'u' and 'v' .

Q: f(x,y)=x² + y²-3x+7. Then the critical points of fare: a. (1,0) and (1,1) b. (1,0) and (-1,0) c. (0,…

A: fx,y=x3+y2-3x+7

Q: Find the polar coordinates, -≤0 < and r≤0, of the following points given in Cartesian coordinates.…

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Q: An orthogonal basis for the column space of the given matrix is. (Type a vector or list of vectors.…

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Q: Using the graph, find the missing values of x and f(x). 3 2 -2 y 1 3 1. f(-1) 2. f(1) 3. f(0) 4. If…

A: graph of f(x)  and g(x)   given we find f(x) ,g(x) and x value?

Q: Problem #4 Solve the differential equation with the given initial condition: y' - 6x²y + 4xy = y…

A: The given differential equation is y'-6x2y+4xy=y  where y2=1

Q: Evaluate ∞ ∑  4(1/2)ˆ(x-1) x=2

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Q: The graph of f is given. Draw the graphs of the following functions. 2 0 1 d) y = f(x) + 1

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Q: Find the derivative of the following function. y=5.7x y'=0

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Q: Find the direction in which the maximum rate of change occurs for the function 5x sin(xy) at the…

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Q: 6. Calculate lim . Use L'Hopital's Rule and show all steps. x→∞ e

A: To find the limit of the function using L'hospital rule

Q: The function f(x) = 800 represents the rate of flow of money in dollars per year. Assume a 10-year…

A: The function f x=800 represents the rate of floe of mony in dollars per year.…

Q: Wrong answer!

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Q: Find the sum of the series. (Round your answer to six decimal places.) 00 n=0 (-1)^²n +1 62n +1(2n +…

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Q: 14. Which of the following functions is not continuous on the interval -∞0 < x < ∞0? (A) f(x) =…

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Q: Oil Production Based on a preliminary report by a geological survey team, it is estimated that a…

A: R(t)=(700t2/t3+32)+5 (0&lt;=t&lt;=20)

Q: For time t≥ 0, the acceleration of a particle moving along the z-axis is given by a (t) = 12e-21 +…

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Q: Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope 4/x

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Q: Use the Laws of Logarithms to combine the expression. In(a + b) + In(a - b)- 7 In(c)

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Q: Concerns about the environment have led to changes in product packaging. Ban Roll-On is packaged in…

A: Volume =V radius =r height =h

Q: Find a positive number a such that the sum of 25x and 1/2 is as small as possible. X = Does this…

A: We are required to find: Positive number x such that sum of 25x and 1x is as small as possible. Does…

Q: Investments   Compute the specified quantity. A corporate bond paying $3,000 after 30 weeks earns…

A: A = Total Accrued Amount (principal + interest) = $3000 t = Time Period (in years) = 30 weeks = 3052…

Q: Use the formula k(t) ||r' (t) x r' (t)|| ||r' (t)||³ r(t) = e¹⁰ti + e-tj to find

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Q: This example is for practice in solving a 2nd order ODE, which is a necessary ingredient for solving…

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Q: ind Suppose the particle's initial position is P(2,1,-1). Find the particle's position vector r(t).

A: The velocity vector v→t=sinti+t3j+etk

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L r(t) = e√²ti + e-√²tj + 2tk, 0≤…

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Q: I need step 5

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Q: Write a function that expresses the surface area S as a function of r for a cylinder with volume =44…

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Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

A: Here given that a conversant series and we find the sum of this series by using a well-known…

Q: Let b(t) represent the population of bunnies on Greentree Island t weeks after the population was…

A: To solve the following