3. у%3D (х+с)е*х (x+c)e*

Q: Water in a cylindrical container with radius 8 cm and height h is leaking at a rate of 20 cm³ per…

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Q: Give a discussion as to why differentiation and integration are inverse processes. You should…

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Q: Estimate the instantaneous rate of change of y(x) 6. | at the point x = - 3 Your answer should be…

A: Topic = Derivative   The instantaneous rate of change is the change in the rate at a particular…

Q: Use differentials to estimate the value of V1.5. Compare the answer to the exact value of V1.5.…

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Q: 4 %3D 2.

A: Consider the following equation: 4x2-5y2=4 Differentiate the above equation with respect to x:…

Q: A certain amount of gas exerts 2.5 atm in a 2.0-liter container. The gas is transferred to a new…

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Q: tive of inction inner function (2x) Derivative of Diff

A: We have to complete the given table according to the given information

Q: Sand is falling off a conveyor onto a conical pile at the rate of 15 cm/min. The base of the cone is…

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Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

Q: Ceka that passes through the Find and sketch an exponential equation of the form y = points (0, 8)…

A: Substitute the values of (x,y) in the function given and find out the equation.

Q: The growth rate of the bacterium Escherichia Coli, a common bacterium found in the human intestine,…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 1300 -0.005x²0.01y2, where…

A: We need to calculate the angle above the horizontal at which the path in that direction begin.

Q: Eliminate the arbitrary constant y=Cix + Cze* + x2 Solve for 1st,2nd derivative and final answer

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Q: =) Give a discussion as to why differentiation and integration are inverse processes. You should…

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Q: y = log4((2x³ – x² + 7)(x² + 4)) %3D -

A: From the property of logarithmic, logab=logeblogea=lnblna So, the given function is:…

Q: On [-8,0] the value of the first derivative of f(x)= x^2 is positive. True or False?

A: The given function is fx=2x2. Obtain the first derivative of the function as follows:…

Q: What is the derivative of the function y = (3x+1)^5 (x^4 - 10)^6 y’ =

A: y=3x+15x4-106

Q: y=C1x + C2e + x2

A: The givne equation is:y=C1x+C2e-x+x2To eliminate the arbitrary constant/s

Q: According to Kleiber’s Law, the metabolic rate P (in kilocalories per day) and body mass mm (in…

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Q: A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and…

A: The volume of cylinder is given by V=πr2h.

Q: Find the derivative of y = 2^x + 6/x^7

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Q: A. FIND THE DERIVATIVE OF EACH FUNCTION. DO NOT SIMPLIFY YOUR RESULT. et 17. f(x)

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Q: please eliminate the constant by differentiation and combinatio

A: Given that: y=c1cos2x+c2sin2x

Q: A steel railroad rail expands and contracts according to the formula  Δl = αlΔT,  where Δl is the…

A: Calculate a steel rail road expands or contracts according to the formula ∆l=αl∆T where, ∆l is…

Q: erivative

A: We have to write the derivative of  y=15(16x)

Q: A box with a square base and open top must have a volume of 70304 cm. We wish to find the dimensions…

A: topic - application of derivatives

Q: A box with a square base and open top must have a volume of 55296 cm. We wish to find the dimensions…

A: A box with a square base and open top must have a volume 55296 cm3.

Q: dium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: since it is given that, Sodium chlorate crystals are easy to grow in the shape of cubes by allowing…

Q: eliminate the constant using any methods (by isolation of constants or by differentiation and…

A: Given: xsiny - ycosx = c We are using the method of differentiation to eliminate the arbitrary…

Q: A bicyclist started out traveling with a velocity of 20 miles per hour. After 15 minutes had passed,…

A: Find your answer below

Q: ind the first derivative of the function: y = 4x - 2x3 + 5 (ii) Differentiate the following…

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Q: Use central difference method to estimate the 1and 2nd derivatives of the following function at x=3…

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Q: 2x-x² a. 2 logz e e*10* c. e*10* + loge

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions…

A: To minimise material we have to minimize the area

Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: Use 3 strategies to find in terms of x and y, where = x. Strategy 1: Use implicit differentiation…

A: 3x24y=x        ---------(1)Implicit differetiating with respect to…

Q: Y = (3x° + 2)4 ;y"

A: Solution: Consider the given that: Y = 3x3+24 We know that the derivative of the function y =…

Q: 3 5. y= 23x+1 %3D 2 3x+1

A: Given : y = 323x + 1

Q: The Worldometers website (www.worldometers.info.) estimates that as of July 2015, the Philippine…

A: Use the information given in the model to find the equation. It is given that the population changes…

Q: Differentiate the function. h(x) = ex9 + ln(x)

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Q: Find the derivative of 4x - 2 y = 2x 1 You should leave your answer in factored form. Do not include…

A: Consider  y=4x−22x−13

Q: Find the first derivative by increment method. Show your complete solution V7x – 12 Upload your…

A: The given function is 7x-12

Q: The horizontal distance or range (R) of an object thrown at an angle 8 from the horizontal is…

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Q: 3. Give an example of a situation in which composite differentiation might be used. Give examples of…

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Q: Find y"by implicit differentiation of x3 + y3 = 1.

A: x3+y3=1 ddxx3+y3=ddx(1) 3x2+3y2dydx=0 dydx=-x2y2

Q: The amount of photosynthesis that takes place in a certain plant depends on the intensity of light x…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 – 0.005x2 – 0.01y²,…

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Q: The price of gasoline purchased varies directly as the number of gallons of gas purchased. Suppose…

A: Let's find.