a²z Find of z = In(xy) a²y

Q: Evaluate each of the following line integrals. Sc [(x² - y2)dx + (2xz)dy + (xy-yz)dz] where C: x =…

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Q: Find the derivative 4cos4t sin4t O2cot4t O Other: -1/2 cot4t of the parametrically defined curve (t)…

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Q: Consider the function f(x) = x−2 (x^2−x+1)^2 Find a)  The intervals on which f is increasing. b)…

A: This is a problem related to function calculation. Based on the general formula and concept we will…

Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

A: Given that , fx=x2+1 and gx=-x2+2x+5 find the volume of solid generated by revolving the region…

Q: Lim (sinx)* x-0+

A: All the necessary steps have been provided in the solution along with explanations. Follow the steps…

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D3 + 2D2 – 5D – 6)y =

A: Topic:- differential equations

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

A: From Newton’s Law of Cooling, we know that: T(t) = Ts + (To – Ts) e-kt Where, t = time, T(t) =…

Q: Find Laplace -3+ 2 [t². 2³+. Sincat) e -

A: See the details solution in below

Q: Integrate the equation using the method in trigonometric

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Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

Q: If = (6,-5) and a = (-2,6), find |2c +3.5d|. O √146 O 16 O 2√73 O 5√11

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Q: B/Find the oblique asymptote of the function f(x) -3x²+2

A: The function is f(x)=-3x2+2x-1

Q: /Find the directional derivative of the function (f(x, y, z) = x + xcosz-ysinz+y), P₁(0,1,2). at…

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Q: 4. Find the general solution to each of the following differential equations. (a) 2xy² - 1 +…

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Q: Which of the following CANNOT be solved by method of undetermined coefficients? 1 A (D²+1)y: cos X B…

A: Let's find.

Q: Evaluate each of the following line integrals. cy²sin³x √1+ cos²x ds where C: y = sin x going from…

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Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: If ye cos x 8 lnx, find f'(x).

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Q: Evaluate: L-¹{. S-2 (s+ 2)² - 49 4 Â) e-2t(cosh7t - -sinh 7t) 4 B e²t(cosh7t + sinh 7t) (C) e2t…

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Q: B/A block of ice in the shape of a right circular cone is melting in such a way that both its height…

A: rate of change of volume of cone

Q: The general solution of the equation (D4 +D²)y= -12 is Ay=C₁ + c₂x + c3cOSX + csinx - 6x² B y=C₁ +…

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Q: f(x)=√x+1and g(x)=x²+1. 1. Find the area of the region bounded by the given curves.

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Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

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Q: lim (√x² + x +1 − x) X-80

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Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

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Q: Lim (112²x - 21²) (sin²x x-0

A: I am attaching image so that you understand each and every step.

Q: Compute the Fourier cosine series for the given function f. a) f(x) = π - x, 0<x<T

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Q: 5. Givenz уг у -4x , Find дz ду дz ?x

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Q: Given [ f(x) dx = 0 and 11 0 11 6 55 6 rwax = 11 6 " evaluate S злах-п -1 2f(x)dx

A: Given,∫-11f(x)dx=0,∫01f(x)dx=116,To find ∫013f(x)dx-∫-102f(x)dx

Q: dy Reduce the linear DE (2xy + x²+x¹) dx = (1+x²) dy=0 to standard form dx (A) +y dy dx -2x 1+x² =x²…

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Q: Numerical Integration: 5 (2x² – 3x) dx 2. 2

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Q: 2 d So (x + 2)²0 Using Trapezoidal method spaces) dx for n=4 is equal to Blank 1 (use 2 decimal…

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Q: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

A: First make the equation of area in terms of breath or length then diffrenciate for maximum area .

Q: Question 8 Using Simpson's method 2 √ ²x³ dx for n = 4 is equal to

A: Simpsons rule

Q: 4. When solving an auxiliary equation of a certain differential equation the roots m = 1 ± 2j are…

A: I am attaching image so that you understand each and every step.

Q: 1. For questions A and Given: Radium decomposed at a rate proportional to the qualit of radium…

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Q: A If B C √ √ √(x + 1) dx (x+2)(x-1)² = √ [1+²+ = -1 + (-1²) x 2 (x−1)2 ]dx dx, the values of A & C…

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Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

A: Given, ∫03x2dx

Q: Consider the solid bounded above by x² + y² + ² = 2 and bounded below by z = √√x² + y². Set up a…

A: Volume

Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: Write TRUE or FALSE before each statement. Solve y' - ³y = dependent variable. differential…

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Q: Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13…

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Q: Find Ə2z ?хду of z = x3 + 5x² y + 6

A: The objective of the question is evaluate the partial derivative .

Q: L(sin 2t cos 2t) Your answer

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Q: 1. The Maximum point of y=

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Q: Find x, y and z, if the matrix A = a) x= 2₁ y= V₁ = √3 b) √√6 =√², y = x= 2= c) None of these d)…

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