Numerical Response #7: The arc length of a circle of radius 15 cm with a sector angle of 110°, rounded o the nearest tenth is cm. value that occurs at (1, 6) and the next minimum

Q: Evaluate O A. O B. O C. O D. π 3 1.3863 -2.9345 -3.6276 -2.2413 2xsec² x dx.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

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Q: A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.…

A: Given Radius of ferries wheel=30 feets  and wheel complete seven revolution in 14 minutes.

Q: method included 1. U- substitution 2. Trig techniques 3. Trio Substitution 4. Parts, 5. Partial…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Given the function below, find the point of inflection: y=a* _ 2p2 OP() O P(-1,-1) OP() O None of…

A: Given problem:- Given the function below, find the point of inflection:   y = x4 - 2x2

Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

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Q: x-p In the table, Y, is defined by a rational function of the form p= Use the table to find the…

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Q: S₁² √2+2 f(x, y)dydx = √₂+₂ S₁² f(x, y)dxdy 2+2

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Q: By Maclaurin series expansion, show that the sum of the geometric series may be written as a power…

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: Find the area of the region enclosed between y - 4 sin(x) and y = 4 cos(z) from z= Hint: Notice that…

A: We have to find area bounded by the given curve.

Q: Lance was excited when he saw a listing for a corner lot 30 meters on one end and 40 meters on the…

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Q: Given the following graph of f(x), find the value of lim_ [ƒ(x)]³ in simplest form. x → 5 Graph of f…

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Q: Thank You FRONTLINERS number of tickets for a fund-raising campaign that aims to help the Front…

A: Concept: To find the total number of tickets in all three weeks we have used the method of simple…

Q: Additional Activities What function will you differentiate to get each function? 3. g(t) = -3t2 +…

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Q: Let f(x) = 1 + x² and g(x)=√x + 2. Find the following limit: lim(1(z)) g A) 4 B) √7. C) 2 O D) 5 O…

A: Given problem:-

Q: Find the total area of the region between the x-axis and the graph. y=x²-5x² +6x, 0≤x≤3 (Simplify…

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Q: Suppose we have the points A = [0, 1], B = [1, 3], C = [2, 2] and D= [3,2] (you may have to move D…

A: answer is in next step . please give a like !!

Q: (2x² - x - 1) x³ - x² ; 2 dx

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Q: 3) 2x (1+y²) dx -y (1+2x²) dy=0 4) dx + x lnxlny dy =0

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Q: Algebraically prove the identity, Left Side sin +1 1 sin 8-1 2 sec² 0. Right Side

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Q: What's More Solve the following problems on a separate sheet of paper showing the 8 steps. 2. A…

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Q: In evaluating the definite integral ff (x) dx, where f (x) = sinx, the angle should be in:

A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: Mark on an Argand diagram the points representing the following numbers: (a) 2 (b) 3i (c)-i (d) 1+2i…

A: Plotting the given complex number in argand plane

Q: 3. Consider the function Prove that f'(0) = 0. f(x) = [2³ -2³ if r EQ if x # Q.

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Q: Use indirect proof to show that if n is an integer and n^3 + 5 is odd, then n is even.

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: Given the equation z=f(x, y) = ln(x² + 2y² +1) with the change of variables x=3-1² and y = 4t-1³,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Set up a definite integral that represents the shaded area. y = g(x) g(x) 8 9 2 4 A √² g(x) dx 3 ⓇB…

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Q: Sketch the region bounded by the curves, and find the centroid of the region. =0,2 = 1, y = 0, y =…

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Q: The length of one side of a rectangle is always three times the length of the other side. At what…

A: This is a problem related to rate of changes. Based on the general formula and concept we will…

Q: For the next two exercises, use the Ratio Test to determine if each series converges or diverges.…

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Q: Find the area enclosed by the given curves. 1 Find the area of the region in the first quadrant…

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Q: fr² cos 3rdr

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Q: 2

A: We will solve the problem

Q: So S/2 √xydx dy

A: solution:-∫01∫y2yxydxdy=∫01y∫y2yxdxdy=∫01yx3/23/2y2ydy=∫01yy3/23/2-y23/23/2dy=23∫01y2-y7/2dy

Q: Consider the level surface defined by the equation x² - y² + z² - 4xyz = 6, find the following: a)…

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Q: 1) (y ²-1) dx - 2y (²+x) dy 2) y² = x €²9-x² =C

A: See the details solution in below

Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

A: Let differentiation of F(x) leads to the function f(x)=8x7-4x3+2x-3 So, F'(x)=f(x)=8x7-4x3+2x-3

Q: 5 Does the series Σ("η 2)" n=1 converge or diverge?

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Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 ( 1y – x2 )dx + xdy…

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Q: Find the linear approximation of the function f(x, y, z)=√√x² + y² + z² at (9, 6, 2) and use it to…

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Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: Here we need to estimate the area under the curve using two and four rectangles.

Q: Find the area between the curves Y=2x-x² and y=-x.

A: We have to find the area between the curves.

Q: y=x²-1 R1 7 Y y = x³ + 1 R₂ A →y=1 y = -√√√x+1 x

A: To find the coordinates of the point A.

Q: Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the…

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Q: Find the volume of the indicated region. the region that lies under the paraboloid z = x² + y2 and…

A: To find the volume of the given region.

Q: Recor Numerical Response # inverse of this function box. Record the value

A: Range of original function is the domain of its inverse function.   Given function

Q: What is the rectangular equivalence to the parametric equations? z (0) = 4 cos 0+2, y (0)=2 sin 0-5,…

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