Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

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A: ∇f(x,y,z) = ∂∂xi+∂∂yj+∂∂zkf(x,y,z)

Q: Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy 2y=x 3 dx dx

A: We can solve this as follows:

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A: limit exist when

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A: Please see the answer below.

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A: We want to find inflection points.

Q: PRACTICE Q7. Consider the series Σ(−1)n-1 (x + 1)" n-0 nb2n where b is a given non-zero constant.…

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A: Determine all the critical numbers of   f(x) = sin(x)cos(x)

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A: Consider the figure below :

Q: f(In x)2 dx O-r(Inz)² - zlnz+z+C -z(lnx)² + zlnz+ 2z+C O-r(Inz)² - zlnz+z O None of the choices…

A: Answer :- None of these choices

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Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

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A: We have to find out area

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A: Given problem:- Find a vector equation and parametric equations for the line. (Use the parameter t.)…

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A: We have to find the interval of convergence.

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A: Given query is to find rate of change of volume.

Q: . y(4) + 2y"+y= (x - 1)²

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Q: Q.3) Evaluate the following dx 1) [ x² + 10x + 30 T 2) [²√³x² 3) ² ² 1/2 dx xy y sin x dx dy dx dy

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A: Let's find fourth side length for maximum area.

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Q: √3.01³ +2.992

A: We need to evaluate :

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Q: 4. Find the area between the parabola y² = 4ax and x² = 4ay

A: As per bartleby guidelines we only give first question answers.

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

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Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy +9y =…

A: To find the solution of the given differential equation.

Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

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A: Given; f(x)=5^x. ln(x)

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Q: 3 2 Evaluate the iterated integral x cos y dy dx. 2 3л 2

A: Ans= 5/2=2.5 For detail go through the solution...I have solved step by step in detail

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Q: Q.1/a) Solve the following integration by parts integral method fre x³ ex²+1dx 2+1dx

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Q: Calculate the integral approximations Tg and Mg for (lnx)-¹1 dx. Your answers must be accurate to 8…

A: Given problem:-

Q: 9. Show that if n is a positive integer then n Σ k² ( x ) = n(n + 1)2²−² k k=0

A: Concept: Mathematical induction: Mathematical induction is a technique for proving that a statement,…