Use a local linear approximation to estimate the value of 26.46. calculator.)

Q: Solve the following differential equation: [e2y − y cos(xy)]dx + [2xe2y − x cos(xy) + 2y]dy = 0

A: e2y − y cosxydx + 2xe2y − x cosxy + 2ydy = 0

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A: As we know the trigonometric identity: cos2x=1-2sin2x And use the common integral:…

Q: 16. Determine lim f(x) if the given function is x→2 f(x) = x². 8-2x, if x 2

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Q: Find the linear approximation to the function f(x) = 3x + 4 at a =3, [0,6].

A: Linear approximation formula f(x) = f(a) + ( x-a )f'(a) Given f(x) = 3x + 4

Q: or a certain company, the cost for producing z items is 55x + 300 and the revenue for selling z ems…

A: Given query is to find the profit function and the value of x when profit is $50.

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Q: In problems 3-5, use the building block n=0 Σ", <1, together with the result differentiating and…

A: Note : As per our guidelines , we can solve first question . Please repost remaining question .

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Q: Perform the subtraction. E4816-C8416 E4816-C841616 (Simplify your answer.)

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Q: 3. Consider the recurrence relation an = an-1 + 6an-2 with first two terms a = 0 and a₁ = 1. a.…

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Q: Use the linear approximation of f(x, y) = e²x²+2y at (0, 0)

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Q: If t = 3' a) sin t 1. 39463NT 2.0 3. 5. 7. 6. None of these 1 √2 005 (part 2 of 3) 1 1.1 2. 2936 co…

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Q: Question 1 [ a) [ b). Consider the function f(x)=x²+3x+c Find the domain of f(x) in terms of c on…

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Q: Question 1 Evaluate the integral. 2xsinxcosxdx Ax cos 2x - sin 2x + C B-x cos 2x + sin 2x + C C) -x…

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Q: An engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the…

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Q: Consider the following. f(x, y) = By y. y=3x-x² 0 D y=x (a) Express the double integral "fb" PLC (2,…

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Q: 12 Find sin 2x, cos2x, and tan 2x if tanx = - 5 sin 2x cos 2x tan 2x 0 0 0 00 X and X terminates in…

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Q: Solve the problem below. For your initial post in Brightspace, copy the description of your company…

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Q: Calculate the double integral S fæ cos(2x + y) dA where R is the region: 0 ≤ x ≤ 7,0 ≤ y ≤ 4

A: The given integral is: ∫∫R x cos(2x+y) dA       where R is the region:  0≤x≤π6,   0≤y≤π4

Q: xy Find the linear approximation to f(x, y, z)= at the point (-3,-3,1): f(x, y, z) ~ ←

A: Topic = Derivatives

Q: dV •/1₂ (2²2² + y² + 2²) ³² 6. Use spherical coordinates to evaluate D between the spheres of radius…

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Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

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A: for inflrction points  put   f''(x)=0d dx(xn)=nxn-1d dx(constant)=0

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Q: 9y" y(0) = 2 y'(0) = -1 12y + 4y = 0

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Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

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Q: What is the rate of change of x with respect to y when the bottom of the ladder is 4 m away from the…

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Q: Question One (a) Let U = 3i-j-4k and V = -2i+4j-3k. Show that U-V is commutative but U x V is not.…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…