Q: 9. State the Second Derivative Test for functions of two variables z = f(x, y)
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Q: finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).
A: The given function is: x2=3x+6y3x-6y
Q: 2. the inde fincte Integial X+8)(Vã-8) da
A: Just first the simplification of given integral and then integrate ∫xndx=xn+1n+1+C, where C is the…
Q: max value for y
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Q: Use differentials to estimate the value of 7+(1.02) correct to four decimal places.
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Q: y = 2 ||
A: We have to find the derivative of the function y = 1-x2ex2
Q: ind y' by implicit differentiation: xy3 - sqrt (x2 +1)=2y
A: Definition used - Implicit differentiation- If equations do not define explicitly y as a…
Q: 3. (D - 3D? + 4)y = 40cos2x + 6
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Q: By using first principle of differentiation find f'(y), if ƒ(y) = Му—N
A: Given: f(y)= My-N According to the first principle of differentiation, the derivative of a function…
Q: Use differential to approximate the change in y=x3+x2 as x changes from 1 to 0,95.
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Q: Use implicit differentiation to find y' at (2, 0) for 2x2 + e2ay
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Q: How is derivatives utilized in solving for the dimensions and total area of a box?
A: Here we to write how is derivatives utilized in solving for the dimensions and total area of a box.
Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx
A: Note: As in questions d and e no instruction is given solved f and g for you.
Q: Find the second derivative of the function 2 f(x) = sin (3x). Show your work.
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Q: Use differentials to estimate the value. estimate = exact value =
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Q: Find the derivative. Simplify where possible. f(x)= ex cosh x
A: Given function is
Q: Find derivative of function. y= sin square root of 1+x^2
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Q: tion of all components of v(3) correct to two decimal places.
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Q: 5th derivative of y = log x^5 to the base 2
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Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…
A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm. To estimate…
Q: Find the anti-derivative: x2/3 dx. Upload Choose a File
A: Using simple integration method to solve the question. Attached below is the detailed solution.
Q: ind the derivative of the y= ((2x) +3)
A: To find the derivative of, y=2x+3
Q: tion of the tangent line to f(x) = 4 %3D
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Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain
A: Solution is given below:
Q: y=C1x + C2e + x2
A: The givne equation is:y=C1x+C2e-x+x2To eliminate the arbitrary constant/s
Q: Differentiate: F(y) (y + 9y°) yA - y?
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Q: Find the derivative of the function f(x) = arctan ex
A: According to the question, we have to find the derivative of the function fx=arctan ex. The…
Q: Fin derivative of the funclions. y=Log
A: The given function is: y=log3xx-12
Q: Encuentre la antiderivada de la función f(x) = 1+3x.
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Q: Find the derivative of y with respect to x. y= 3x^3 sin^-1 x show all work
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Q: 115th derivative of f(w) = cosh w %3D 2
A: Finding the nth derivative.
Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…
A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…
Q: Solve for the derivative of t y =2 V3-z Previous
A: This is a basic differentiation problem
Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) %3D f (x) =
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Q: How is integral calculus related to differential calculus?
A: Solution
Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y
A: The given function is 4lntan-1x=1-y It can be written as y=1-4lntan-1x Differentiating with respect…
Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1
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Q: Q4/ Explain the rule of maximum and minimum using Derivatives with an еxample?
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Q: 7) Find the average rate of change of the function A(x) = sin ( 2x - -) from x = to x =
A: A(x) = sin(2x - π/6) A(x2) = A(5π/6) = sin(2*5π/6 - π/6) = sin (9π/6) =…
Q: Use differentials to approximate square root 24
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Q: Find the derivative of the function. f(x) = In(sinh(x)) %3D f '(x) = %3D
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Q: derivative of function y=\sqrt[5]{x^4} is
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Q: Find the derivative of y = arctan(x² + 3)
A: To find: The derivative of y=tan-1x2+3. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…
Q: tanh'stanx) that derivative af this 1-
A: Answer
Q: Find the derivative. f(x) = eX cosh(x) f'(x) =
A: First use relationship between hyperbolic function and exponential function convert coshx in…
Q: 3 Find approximation a5 costect to an three decimal places.
A: We approximate the value by using differential. The answer is given as follows
Q: From a numerical perspective integration is better conditioned than differentiation.
A: As given, We have to state that whether the below statement is true or false. From a numerical…
Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…
A: Let d1, d2 be the diagnols of a parallelogram given, d1+d2=18d1=2+d2 ⇒d1=10, d2=8 Area of the…
Q: Find y" by implicit differentiation. 9x2 + y2 = 4 y" = %3D
A:
Differenciate y=sqrt(x+sqrt(x)
y'=
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- use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in diameter if the metal on the top and bottom is 0.09cm thick and the metal on the sides is 0.01cm thick.Use differential to approximate the value ofUse differentials to estimate the amount of paint needed to apply a cost of paint 0.06 cm thick to a hemispherical dome with diameter 54 m. (Round your answer to two decimal places.)
- Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12 cm if the tin is 0.04 cm thic1 integrate using algebraic technique of variationUse differentials to estimate the amount of metal in a closed cylindrical tin can with diameter 8 cm and height 12 cm if the metal on the top and the bottom is 0.2 cm thick and the metal on the sides is 0.1 cm thick.
- find the second derivative in its simplified form 2. y= 4 Arccos x/2 +2 square root of 4-x^2Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 25 per hour. Round to the nearest cent. $ per racket NOTE: Your answer may be negative.Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 24 per hour. Round to the nearest cent. $ per racket NOTE: Your answer may be negative. screenshot attached