The profit P for a company producing x units is P = −0.8x^2 + 324x − 2000 Use differentials to find the actual change in profit when the production level changes from 100 to 101 units.

Q: Find the first and second derivative if 1 w = 3z-2 ミ

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Q: The length of the rectangle is decreasing at a rate of 5 centimeters per second, and its width is…

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Q: Find the first and second derivative of 2 X + 3 3 x' x X y 4 +

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Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: evaluate the derivative of 3x^2+y^2x=9

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Q: The percentage of Brazil's population that lives in urban areas can be modeled by U(x)= 72 + 4.33 ln…

A: Solution...

Q: Find the 3rd derivative of the function y (2z-8z2 +3) (z+3) O y"=120z2 192z + 42 120, 198z + 72 =…

A: We need to find the 3rd derivative of y=2x3-8x2+3x2+3 . So,      y'=2x3-8x2+3x2+3'…

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A: Ultrasound scanning has been the modality of choice for the clinical diagnosis of gallstone disease…

Q: Evaluate the 3rd derivative of y= x5Tan(x4) if x=4

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Q: The marginal cost of producing the xth box of light bulbs is  7 + x^2/1000      dollars per box.…

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Q: 1. y = 8x5 - 2021, 5th derivative 2. y = x5 - 3x4 + 6x³ - 9x² + 12x - 15, 4th derivative 3. y = 2x2…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: find the first and second derivatives

A: Given expression: w=3z7-7z3+21z2

Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

Q: Calculate the second and the third derivative of y = 4x 4 y": y" =

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: y=4x-4x Now…

Q: A quantity, y, varies directly as x. when Y equals 10, X equals six. find X when Y equals 14

A: Solution -  According to question y varies directly as x -y α xy = kx ....................(1)where k…

Q: If y = csch4 2x°, find the 1st derivative a. 20x*csch42x° coth 2x5 b. -40x4 csch4 2x° coth 2x c.…

A: Some derivative formulas: ddx(f(x)g(x))=f(x)ddxg(x)+g(x)ddxf(x) ddx(u(v(x)))=u'(v(x))ddxv(x)…

Q: he radius of a right circular cylinder of height 16 inches and radius 4 inches decreases by 5 inch…

A: volume of the right circular cylinder is given byV=πr2hHere we have fixed height = 16 inches ,…

Q: Find the derivative of 4x +2 -(2) Y = -2x-4

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Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: given function is                                            P=-0.1x3+200x-90;   x=60 now,…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=…

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Q: One rainy evening, a girl broke up with her boyfriend after being together for 7 years. They decided…

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Q: the number of banks in the country for selected years from 1980 to 2009 is given by y=-383.7x+18,499…

A: Please refer the attached image for complete solution.

Q: Find the second derivative. y = 7x2 - V2 y" =

A: Given that y=7x2-x27 y=7x2-x217=7x2-x27 find the first derivative…

Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

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Q: A soft drink manufacturer found that the total cost is $4020 when 1200 cases of soda are produced in…

A: Consider marginal cost per case of soda be "a" and weekly fixed cost is "b" Total cost can be…

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

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Q: How to eliminate these 2 equation to determining the two unknowns?

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Q: FInd the derivative of  y=(3x-2)2(5-x5)4

A: Assume u=(3x-2)2 and v=(5-x5)4 Differentiate the function u with respect to x. Assume p=3x-2…

Q: Find the most general antiderivative for the function (8x^4-(6/x^3)-3)

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Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

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Q: Find the First derivative of 2(x-2)^2 (x+3)^2

A: Given, y=2x-22x+32

Q: Differentiate. x'ex f(x) x7 + ex f'(x) =

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Q: Imagine that we can predict one person's monthly salary (Y) from the number of years (X) that he has…

A: If x= 5  Predicted salary = 4000+50(5) =4250

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: x is the number of units produced and sold. The Profit function is given by P = 150x − x^2/500−…

Q: Find the second derivative of fx Fx= -4/square root x + 4x3

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Q: Suppose the sales of a company are given by S=200x+800 where x is measured in years and x=0…

A: To find the sale of a company S where x=0.

Q: Find the derivative. ex - (א)h 7+א7 eX-1(7x2 - 14x + 7) (7x2 + 7,2 2-14+7א7 ex. (7x2 + 7,2 eX(7x2 -…

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Q: In the regression model Y = α+ βx + ε the change in Y for a two units increase in x: will always be…

A: Given regression model Y = α+ βx + ε If x increases by 1 unit, Y increases by β.  If x increases by…

Q: One leukemic cell in an otherwise healthy mouse will divide into two cells every 12 hours, so that…

A: fn=4xa No.of laukemic cells after 12 days= 412     In a part put x= 12 Because x is in days…

Q: What does it mean if two quantities vary directly?

A: What does it mean if two quantities vary directly?

Q: Find: > LSRL equation and predict the number of hours of walk per week for 35-year old person > r…

A: The independent variable is Age. The dependent variable is Hours of walk per week. This is simple…

Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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Q: Max. Z=10 X, +15X2 S.T 6x1+4x2 <30000 2x1+4x2 2 20000

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Q: The marginal cost of producing the xth box of light bulbs is 4 + dollars per box. Determine how much…

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Q: Find the first derivative: y = In V2x3 -5 222 O y' = 2z3-5 5z2 O y' = 223-5 3z2 O y'= %3D 223-5 O y'…

A: Using Chain rule Y= f(g(x))  so Y' = f'(g(x))•g'(x)

Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

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Q: low fast is

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Q: Find the first and second derivative if y=4-2x-x-3

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