Intermediate Value Theorem,

Q: Secant method

A:

Q: derivative of arctan(2/x^2)

A: we have to find the derivative of the function and we will find it by the chain rule of…

Q: Determine the critical points of the curves, and graph the

A:

Q: 5) z = ecos(2x)

A: Given:z=ecos2x

Q: Use second fundamental theorem of calculus. Find the derivative F'(x) of the function.

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Q: (Integral sign) tan^4 x sec^6 x dx

A:

Q: Explain Clairaut’s Theorem.

A: Clairaut's formula for the acceleration due to gravity g on the surface of a spheroid at latitude φ,…

Q: Discussing the concept of limits to slope to derivatives (delta method to simple differentiation) to…

A: We need to discuss the concept of limit in finding the slope, differentiation and integration (also…

Q: Verify f(x). direction delta function 8(x - a)

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Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.f(x)=x…

A: Given function is: fx=xe-x Differentiating above with respect to x we get, f'x=ddxxe-x⇒f'x=e-x-xe-x…

Q: How are the limits of integration determined? Give examples.?

A: How are the limits of integration determined? Give examples.?

Q: alue Theorem to approximate the value of

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Q: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

A: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

Q: What does the Intermediate Value Theorem say?

A:

Q: Calculate root and error %. Find the root of the equation fx=ln(x)-5+x in the interval [2.5, 3.0]…

A: Consider the given information.

Q: tanx secx+1 %3D tanx secx-1

A:

Q: Integration is the reverse process of differentiation.

A: Given,            Integration is the reverse process of differentiation.To find : State true or…

Q: ine al

A: We know that, ℤ6=0,1,2,3,4,5 A non-zero element a of a ring is said to be a divisor of zero of the…

Q: Estimate the slope of the tangent line of the function y(t) = V3t + I at the pointt = 2. (Use…

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Q: In 2x -dp-

A: To evaluate the integral: ∫2ln2xxdx Solution: Let substitute t=ln2x. Differentiating both sides, we…

Q: ) Tangent: g) Point of Tangency:

A: # We are entitled to solve  1 question (three subparts )at a time ,please resubmit the other parts…

Q: calculus:

A: we have to find the derivative of the given function f(x). f(x)=7log5(x5-9x)

Q: Sketch graph also determine the location of critical point and determine its nature? (Second…

A:

Q: How is sinusoidal function used in calculating population growth or decay over a period of time?…

A: Given question:- How is sinusoidal function used in calculating population growth or decay over a…

Q: ifferentiate 1 arctan y = a а

A: Our objective is to find the derivatives.

Q: What is the difference between differential calculus and integral calculus

A: The question is about difference between differential calculus and integral calculus.

Q: We have two approaches to classifying critical points as local minima or maxima: the first…

A: To find the local minima and maxima we use both the first and second derivative test  for functions…

Q: total derivative of the function f(x, y

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Q: of

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Q: Area under a curve

A: Let us consider the equation of curve be y = f(x).Let us consider two data points x = a and x = b,…

Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: arctan le)

A: We have

Q: en equation using

A:

Q: integral sec^5 x tan x dx

A: we have given that ∫sec5x.tanx.dx

Q: Point Tangent line Function (1,0) 1. y = x* - 3x? + 2 2. y = x³ - 3x (2, 2, ) 2 (1,2) 3. f(x) = 4. y…

A: A  tangent to a curve is defined as a line that touches the curve at only one point. The slope of…

Q: Integrate

A:

Q: Estimate the slope of the tangent line of the function f(x)=3ex at the point x=e. slope of the…

A: Slope of the tangent line is given bythe first derivative of curve at given point.

Q: Marginal rev. Function

A: given demand function  Dq=15+4q23

Q: solve using L'Hopital's Rule 2. Lim      (x-sinx) / (x^3)    x->0

A: To find: The limit of limx→0x-sin xx3. Calculation: Apply L'Hospital rule: limx→0x-sin…

Q: Explain First Shift Theorem & its properties?

A: First Shift Theorem: If Lft=Fs, then Leatft=Fs-a. The proof of the First shift theorem follows from…

Q: sinty

A: This is a basic integration problem

Q: using secant approach

A: Note:- As per our guidelines, we'll  answer the problem using first mentioned method as particular…

Q: caluate integra X- Sin

A: Given : The integral is ∫ x sin ( 2x2 )dx .

Q: What is mean value theorem

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Q: continuous

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Q: Explain the Intermediate Value Theorem?

A: Theorem statement: According to the intermediate value theorem, If f is a continuous function which…

Q: Describe at least two (2) similarities found in methods of integration and methods of…

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Q: Discuss the merits of integral error compensation and compare it with derivative compensation

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Q: An interval estimate gives a range of value where the parameter is expected to lie صواب ihi

A: Definition:  Interval Estimate is the range of values where the parameter is expected to lie.…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.