Sketch the region R under the curve y = 4x – x² above the x-axis from x = 1 to æ = 5. Use the trapezoidal rule with 2 to approximate the area of the region.

Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

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A: As per as our guideline i am supposed to answer only one question. please repost remaining question

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Q: b) Determine whether the geometric series (-1)"-15n-1 00 6t" is convergent or divergent, and if it…

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Q: 10 Below is the graph of y = f(x). Find | f(x)dx. Round your answer to three decimal places. 5 10

A: Given:      ∫210fx dx   = Area under the curve between x=2 and x=10

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Q: If y= b", then JExample 2.24: Applying Derivative For 3* Find the derivative of h(x)%3D 3 +2…

A: The given function is  h(x)=3x/(3x+2).

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Q: Exercise 3. Use the properties of definite integral in the following: a) If f f(x)dx = 12, and…

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Q: 1. How to determine whether the function is continuous or not at a certain point?

A: As per our guideline we are supposed to be answer only one question please repost the other question…

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A: Solved below

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Q: Justify your answer whether the following functions are continuous or not at a certain point or…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 4. Find and classify the critical points of a) f(x) = and b) g(x) = 3x³ – 5a3+ 1 5- 27.

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Q: a)Find the arc length of f(x)= In(1+x³), Osx<5 Answer:

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: 1.92 Referring to the definition in Exercise 1.91, answer the following questions. a) Prove that…

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Q: бх-7 7. S dx (2х+1)(4x2+1)

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Q: The demand function for a product is modeled by  p = 400 − 4x,   0 ≤ x ≤ 100,  where p is the price…

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Q: V * 00 > Find the critical points of the following function. Use the Second Derivative Test to…

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Q: 1 Let D= {x.y)|0sxs2,xsys1. integral x'e"dA= The x2exYdA = // x² sin(y)dA where R = [-1, 1] × [-2,…

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Q: If a, > 0 and -0 an is convergente then E(an)"2 is also convergente Select one: O True O False

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Q: Find the exact length of the polar curve. r = 0, 0 < 0 < 37/2 12.47776

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Q: A. For each of the following functions, find the indicated derivative using the definition. 1. f(x)…

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Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

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Q: Find. the Powier Series. and frad their Intervals and. sadif of. convergengeo If F(x)= g(x)= then…

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Q: 1. Find the eigenvalues and eigenvectors of the matrix. A = ( 3 -4 -3 2

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Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

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Q: Sketch the region of integration for the integral sin(x) dydx. Draw the region on a piece of paper…

A: see below the answer and explanation

Q: For each of the following series, use the sequence of partial sums to determine whether the series…

A: For the following series, by using the sequence of partial sums to determine whether the series…

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Q: Find the AREA of the region enclosed by r =2+2 sin 0. A. 27 В. 4т С. 6т D. 8T

A: Here we have to find the area of the region enclosed by r = 2+2 sin(theta) .

Q: Haw / Find dhe solution for the equaton

A: Find the solution

Q: Let g(x) 8 In(t) dt. Use the Fundamental Theorem of Calculus tc g'(x) =

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Q: The sum of two positive numbers is 40. What are the numbers if their product is to be the largest. A…

A: let the two numbers be "x" and "y "x+y=40 → (1)F(x,y) = xyF(x)= x(40-x)F(x)=40x-x2differentiate…

Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

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Q: Determine the convergence or divergence of the series. (If you need to use o or -00, enter INFINITY…

A: Given: Now,             limn→∞ 8n-13n+1=limn→∞ 8-1n3+1n=limn→∞ 8-1nlimn→∞ 3+1n=83 So, the series is…

Q: Find the gradient of the function at the given point. w = x tan(y + z),    (17, 3, −1) ∇w(17, 3,…

A: Given  w = x tan(y + z) We have to find the gradient of the function ∇w(17, 3, −1).

Q: 2 sin 3at where a is any positive constant and s > a.

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