15. Yogurt containers can be shaped like frustums. Rotate the line y = x around the y- axis to find the volume between y = a and y = b. The variable m is any positive integer. m Am a. mm² 3 (b³-a³) units³ C. (b³-a³) units³ b. m² (b³ + a³) units³ mm² m2 d. (-b³ + a³) units³

Q: m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area…

A:

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A: To find out the partial derivative.

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A:

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A: Find out the total distance travelled during the first 10 seconds.

Q: Question 13 Given: ez + xy = 1 dz Find: dr zey te O dz 8x 8x dz 8x Za zerx Ty IZ ce¹² ze Ty

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Q: When is a function Fan antiderivative function f? of a if F(x) is continuous for all x in the domain…

A: Given , When function  F(x) is called an antiderivative of a function of f(x).

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A:

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A:

Q: Given: f(x, y) = ln[1 + x siny] Find: g² f(x,y) 8x² 2 sin y (1+xsin y)² sin² (1+2 sin y)² 1+2 sin…

A: In this question, we need to find the second partial derivative of the given function.

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A:

Q: The percentages of police officers who are women are listed in the table for various city…

A: Solution: a. We use Desmos to graph the data points given, plotting the city population n along the…

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Q: 17 For what value of k will the following system of equations have an infinite number of solutions?…

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A:

Q: Given a function f(w, x, y, z) = y ln(wx) + (+1) tan z, which of the following is not part of the…

A: follow next step

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A:

Q: What is the lim0+ (=//=²²1)? - If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A: Let's find limit of the function.

Q: -i+3j and Y = 4i - 2j + 2k. -Y. 3. Consider the vectors X and Y in R³ where X Find the unit vector…

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Q: Which of the following is NOT TRUE about the tangent line intersecting the graph of a function? The…

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Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: Explanation of the answer is as follows

Q: Given w = xex + ln(x²yz3) Determine дш дх O дш дх δω дх ди дх дш дх = ex(1 - x) + = xẻ +1+ 11 N|X 2…

A:

Q: Given a function, Based on the function, 2s +3 F(s) = s² -2s+25 a) Determine f(t). b) Based on…

A:

Q: 4.2.2. Find the integrating factor by inspection then solve the following differential equation.…

A: A detailed solution is given below.

Q: (9) Find all prime numbers p for which both equations X²-2 0 mod p and have solutions. X²-3 0 mod p

A: Concept: The quadratic congruence: x2≡a(mod p) , where gcd(a,p)=1 Has a solution if (ap)=1 That is a…

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A: First we will frame a question and then solve it.

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A:

Q: Give the general equation of the plane containing the point (3,-1,4) and x 2-2 perpendicular to the…

A: The given equation of the linex2=y=2-z-3which can be written asx-02=y-01=z-23.The given point is…

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A: To find 2022nd derivative of f(x) = cos(x).

Q: ki a) limx→∞ f (x) = b) limx-f(x) = c) limx-of (x) = d) limx-3f(x) =

A:

Q: x sin æ+tan² I lim, 0 1-cos

A: We can solve this as follows:

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Q: What is the derivative of y = √x? 1 1 X 2 2 1 √x X 2 1 2 X 22

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Q: Evaluate: lime 1-sin 8+cos 8 sin 20-cos 0

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Q: Find the first partial derivatives of the function. f(r, s) = r ln(r³ +56) fr(r, s) = fs(r, s) =

A: To find out the first partial derivatives.

Q: Given: x In y + y2 z+z2 = 8 Find: ?х дz -y²-27 In y -In y y²+2z -(x+2y²z) y(y² +22) -yln y x+2y²z о…

A: The objective of the question is evaluate the partial derivative and choose the correct option.

Q: What is the limo+ sin(y) In(y)? For answers write... that are in decimal form and round off to…

A:

Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: Find the second order partial derivatives, a'z for the following equation дхду z = x cos y - y cos x

A:

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Given :Volume = 32 ft3

Q: Given the graph below, what can you say about the function at [-2,1)? Not Continuous Continuous

A:

Q: Which of the following represents the derivative of f at x? f'(x) = f(x₁-Ax) + f(x1) Ax f'(x) =…

A: See this solution

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Which of the following corresponds to the x-4 √x-2 evaluated? 0 4 2 DNE limx→4 ( when

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Q: What is the lim [(ln(2x - 4)) - (ln(x + 3))] 818 ? If your answer is a Whole Number Fraction (+)…

A:

Q: 11 Let A be a 3 x 3 matrix. Which of the following is not a valid row operation when row-reducing…

A: Here we have to choose the correct option.

Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

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Q: 9. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: Remaining "How Did I Do?" Uses: 2/3 Use the given information to find the unknown value. y varies…

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Q: 3. Graph and then find the area of the region bounded by the curves y = 8x - x² and y=2x−7.

A: