(t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: ion 2. Find the domain of the vector function r(t) = (√5 – t², 1⁄2, et). t-

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Q: . The step size (h) in Trapezoidal Rule for the integral ſ¹e³dx is equal to-- None of them O 0.25 O…

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Q: Q2) A: By using partial method solve [2x² cos x dx

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Q: If u = 4j - 2k and v = 27 − j + 7k, find ū. v. Select one: √110 O -18 O √18 O 18

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

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Q: ○y-3 = cx6 + 3²

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Q: sin r√9+ cos² rdx

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Q: 3 fx²³√₁² + x² dx X 2 a

A: Sol

Q: Express 3p 12pq+4q² -1- 8p² 6p² +2pq as a single fraction in its simplest form.

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Q: 2) A: By using partial method solve [2x² cos x dx

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Q: Let (w, x, y, z) = wxy + x² tan z and a = (1, -2,3,4). Then w(a): .₂(a) = -6 -2 8 60 -8 1-1 2 , (a)…

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Q: Question 1. A critical point of the function g(x, y) = ey + 3x²y-y is (0,0). Use the Second…

A: See this solution in below

Q: A region bounded by f(x) = x², y = 0, and x = 4 is shown below. 2 Find the volume of the solid…

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Q: 18. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels…

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Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

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Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: ) What function f(t) has Laplace transform: s² +1 f(s) = 5(s² + s−12) 2

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Q: A region bounded by f(x) 8 7 6 Find the volume of the solid formed by revolving the region about the…

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Q: The equations of the asymptotes of a hyperbola with transverse axis (focal axis) parallel to the…

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Q: Determine t'(x) if t(x) = 7(3*). Select the correct answer below: O t'(x) = 7(3³) O t'(x) = 3' ln x…

A: We know that t(x)=7(3x)

Q: Method of undetermined coefficients. y" -y = 3ex ○ y = c₁e² + c₂e²=* + ²/xe* O y = c₁e* + c₂ex +…

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Q: For the initial-value problem: y = 1+2, 1st≤ 2, y(1) = 2, h = 0.25, the mesh points (t) can be…

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

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: = [₁²₁ Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g (r) : = x² + 4dx.

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: Maximizing the Volume of a Box An open-top box is to be made from a 30 in. by 40 in. piece of…

A: Let's solve given maximizing volume of a box problem.

Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: Given :Center : Z0=4+i

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4 + xy - x - 2y, D is the…

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Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given :17)  5xe9y=1218) x2+3y2=13

Q: 12. Integral x² dx x³ +4

A: Given the integral,        ∫x2 dxx3+4

Q: Find dy/dx if y=3x2 – 2x.

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Q: A Nathan organized pile X of paper on his desk, and Gerald organized pile Y on his desk. The figure…

A: Volume is just the amount of space contained within a 3-dimensional object.

Q: tan ³ (3x) sec" (3x) dx

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Q: The approximated value of the integral fe* dx is equal to - Rule with step size (h=2). when using…

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Q: CHECKPOINT 1.10 Find the total area between the function f(x) = 2x and the x-axis over the interval…

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Q: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

A: We have to check that series 1/2*(2/5)n  where n=1 to infinity. Is convergent or divergent.

Q: B: Draw the function y = √√x-8

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 126 and a revenue function R(x) = 8x.…

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Q: Given that F(x) = a) F'(x) bl 5'(4) 2 1 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find

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Q: Use the definition of the definite integral to evaluate approximation to generate the Riemann sum. 3…

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: Solve the given differential equation. 16x2y" + 16xy' - y = 0 C₁ cos(In(x)). + C₂sin (In(x)) 4 4…

A: here we have to solve differential equation.

Q: +[ƒ Given that 5 ≤ f(x) ≤ 6 for -4 ≤ x ≤7, use property 8 of Section 5.2 of the Stewart Essential…

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Q: Find the general solution of the given second-order differential equation. 30y" 19y' 5y = 0 -…

A: See the details solution in below

Q: Find the solution of the initial value problem y" + 16y = 0, y(72) = 8, y¹ (72) = -16. Sketch the…

A: Given: y''+16y=0

Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +

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Q: In Exercises 101-108, assume that each sequence converges and find its limit. 101. a₁ = 2, an+1 102.…

A: The objective of the question is determine the limit of the given sequence.