Consider the function Z = 2x2(1 - e ) where x and y are given to be 6 and ln 6 respectively. Find the absolute change dZ in Z if dx = 0.1 and dy = 0.06. O 2.07 О 3.52 2.72 None of these O 2.87

Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

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Q: Y2-1 dy

A: Follow the procedure given below.

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A: To determine the point of intersection of the given line and plane.

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Q: Find the Laplace Transform of the following functions s? – o? 1) f(t) =t cos(@t) Ans. F(s)= (s² + w*…

A: According to our guidelines, we can answer only three subparts of a question. Kindly repost the…

Q: Bernoulli's Equation Solve:

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Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [–2, 3].

A: Given  f(x) = 2x2-4x+2 The graph is

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: The graph shown below is f(x) = 2x 2 - 1. If g(x) = Sốf(t)dt , find g '(3). %3D 4 2 X 54 3 -2 - V1 2…

A: g(x)=∫0xf(t)dtThenBy fundamental theorem of integral calculusg'(x)=ddx∫0xf(t)dt=f(x)g'(x)=2x2-1

Q: 15. Figure 11.25 shows a design for an herb garden, with approximate measurements. Four identical…

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Q: 4. DETAILS LARCALC11 11.5.056. Find an equation of the plane with the given characteristics. The…

A: Let's find.

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A: Given problem:- x3 -3x2 +2=0  And x=1+√3 is one root then using synthetic division factor given…

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Q: Given f(x, y) differential df = 10x?y then the total O 20xy dx + 10x² dy 20x dx + x2 O 2xy dx + x²…

A: For the solution follow the next step.

Q: Integral Calculus: Integration by Parts (Original method

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Q: Which of the following integrals are improper? (Select all that apply.) dr 6x – 1 dr 2r – 1 sin (x)…

A: An improper integral is an integral that has either or both limits infinite or the integrand reaches…

Q: 3- use Cramer's rule to solve the system 8x1-4x2+3x3=0 X1+5x2-X3=0 -2x1+6x2+X3=0

A: Here we have to use Cramer's rule to solve the system.  8x1-4x2+3x3=0x1+5x2-x3=0-2x1+6x2+x3=0

Q: ) If we apply Rolle's Theorem to the function f(x)=2x^2−8x−4 on the interval [0,4], how many values…

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Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) Vw(10, 5, -2) =

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Q: what is the minimum value of f(x)=3x2-18x+25 a. -2 b. 3 c. 6 d. -18

A: Given  f(x)=3x2-18x+25

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A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

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A: The solution is given in the next step.

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Q: 2n Let an = 3n +5 Determine whether {an} is convergent. Determine whether an is convergent.

A: To determine whether the given sequence and series is convergent or not.

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: use the definition  of exact or non exact.

Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: 3. x'sec'ydy - (1– 2x'tany)dx = 0

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Q: 3m 5. rad 9. 1.1 rad 13. 1.6 rad 4 6. rad 10. 3.1 rad 14. 2.1 rad 2- rad 3 11. 0.50 rad 15. 0.091…

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Q: Evaluate the following indefinit 4. Ssin'x cos*x dx

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

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Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: Can the Fundamental Theorem of Calculus be used to find 5xcosx?dx?

A: This question can be solved by applying the second part of fundamental theorem of calculus.

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Q: Can the Fundamental Theorem of Calculus be used to find

A: We have to check the validity of fundamental theorem