Find the concavity, point of inflection, of f(u)=e^(-(u^n/n)   Where n= 1041

Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: If x+y divided by x-y= x^2+y^2 and dx/dt=12, then what is dy/dt when x=1 and y=0? show all work…

A: Given thatx+yx-y=x2+y2x+y=(x-y)(x2+y2)  [cross multiply]x+y=x3+xy2-x2y-y3

Q: On which derivative rule is integration by parts based?

A: Integration by parts is based on product rule of derivative. Mathematically, Product rule of…

Q: sa = -1, a = 0, and a = 2,c

A: answer is in next step

Q: What are the formulas for differentiation and integration?

A: Differentiation formula: There are many formula available in differentiation. few of them listed…

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

Q: Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the ection.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: A coat of paint of thickness 0.03 cm is to be applied uniformly to the faces of a cube of edge 29…

A: Let the side length of the cube be S = 29.Side increase on each side = 0.03 cm.Total increase in…

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: Use differentials to estimate the value. estimate =  exact value =

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Q: Explain the concept of differentiation and integration.

A: Differentiation and integration are the process of calculus in mathematics. In differentiation, we…

Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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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: y=9 arctan (x+sqrt(1+x^2) )

A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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Q: An open cylinder can has an inside radius of 2cm and an inside height of 5cm. use the total…

A: We will estimate the volume of cylindrical metal as following. Inside radius = 2 cm Inside height =…

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

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: calculate derivative of y wi reapect to ino dy

A: The derivative of the given function is calculated with the help of the formula d(x^n)/dx =…

Q: Find the derivative us ing the defini tion O fx). %3D

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Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: Find the derivative of f(x) = Vx2. What is f'(5), rounded to 3 decimal places?

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Q: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

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Q: What is the connection of the concept of limits to slope to derivatives (delta method to simple…

A: The limits of the function at a point are calculated using the formula . The limits are used to…

Q: What are the formulas for differentiation and integration? How are they applied?

A: To write: Formulas for differentiation and integration.

Q: Are critical numbers from the first derivative used in the test for concavity?

A: We have to tell that  critical numbers from the first derivative used in the test for concavity or…

Q: 115th derivative of f(w) = cosh w %3D 2

A: Finding the nth derivative.

Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

Q: The circumference of circle was measured to be 24 cm with possible error in measurement of 0.2 cm.…

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Q: To compute fxyz, we first take the partial derivative with respect to which variable?

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Q: Consider a rectangular poster that contains 312.5 cm² of printing with a 10 cm margin at the top and…

A: Solution :- let the paper size be x cm in length and y cm in width  The length o the printed space…

Q: Find the derivative of f(x)=ex/(sqrt x) at x=1. Round your answer to 4 decimal places.

A: Find the derivative of f(x) = ex/(sqrtx) at x=1 round your answer to 4 decimal places. We know that…

Q: Explain the three techniques that are used frequently to Use Approximations to Estimate Reversion…

A: Approximations: Approximation is a estimated value or estimation of a number or rounding a number to…

Q: Is the functionf(x) = |x| cosx differentiable at the point x =0 ? (Use definition of the derivative)…

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Q: Let f(x, y) = cos(x+y²). Compute the rate of change in the direction of fastest increase for f at…

A: Find gradient and its magnitude then solve

Q: What is the value of the function xcosnxdx if we integrate it using Kronecker' smethod?

A:

Q: find derivative 1. y = 1/( ln 3x)      2. y = ln (t3/2) + sqrt(t)    3. y = ln (sin x)      4. y =…

A: Hi! Your question contains many sub-parts. As per norms we will be solving only 3 sub-parts. Since…

Q: What is the difference of antidifferentiation and anti-derivative?

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Q: What

A: The correct option is (B).

Q: ind the 9th derivative of f(z)=exp((-1 + isqrt 3)z) at z=0.

A: Given f(z)=e(-1+3)z Differentiating w.r.t 'z' f'(z)=e(-1+3)z(-1+i3) f''(z)=e(-1+3)z(-1+i3)2…

Q: tanh'stanx) that derivative af this 1-

A: Answer

Q: Use linear approximation or differentials to estimate v80. Show your work.

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Q: – 3t² + 5t dt 7. Find the general anti-derivative:

A: The objective of the question is to find the antiderivative of the given function.

Q: Find the maximum rate of change of f(r,y) = sin(x + y) at the point (1,-1) and the direction at…

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Q: What is the difference between a derivative and an integration?

A: We have to state the difference between a derivative and integral.

Q: Use a linear approximation (or differentials) to estimate v3.99 to 5 decimal places. Be sure to show…

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Q: Find the derivative of s(*) - L Int dt 1+t

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Q: find the deoree of Precition. O fool F(x)= X

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: