9) y = вод по- 10) У th 4x 1+₂x exbx

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: Find the area of the region bounded by x = 2y² +1 and the y-axis using the horizontal strip.

A:

Q: Determine the magnitude of the vector difference V-V₂-V₁ and the angle 8, which V' makes with the…

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Q: f(x, y) = = /25 - (x - 2)² - y²

A:

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 13x)y², y(0) : =…

A: Given,dydx=(1-13x)y2                     y(0)=-16

Q: Find the area of the region bounded by the curves 1 y = (x+8)²¹ Y = 4 and the x-axis using vertical…

A:

Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: Solve the boundry-Valued PDE 24 = 4 24 = 484 ठेप ulo,д) =8 ёру using the genval method -12X-39 ans:…

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Q: The value of A. -√4+C 4x B. +C √4-2 C. D. 4√4-x² 4√4-x² S ₁4- +C +C dx (4- x²)1.5

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: 4 nd the area of the region bounded by 2x = y²+1 nd the y-axis using the horizontal strip.

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Q: 5x 2 Evaluate: ²3x²dz dy dx 2

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

Q: Evaluate the integral: ft² ns te" du ds dt

A: Let's evaluate given integral.

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: odules CALC 2 INTEGRAL CALCULUS ACTIVITY 1 Evaluate the following. Show your complete solution. 1. f…

A: The integration of the integrals are;  1)z5 2)y1/3 3)6/x4. Repost the next parts.

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

A:

Q: Q2 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j + 7k.…

A: Solution is here

Q: ¹₂1 + 2y dy dx x2

A:

Q: Find the area of the region bounded by the curves 1 y = (x+4)²¹ Y = 4 and the x-axis using vertical…

A:

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: (1) we have to fill in the blanks Let I be a proper ideal of the commutative ring r with identity.…

Q: Evaluate the following * Sete e7x-³dx O e^(7x-3)/3 + C O e^(7x-3) + C - e^(7x-3)/7 + C O e^(7x-3)/7…

A: We will use substitution method to solve the integral

Q: Evaluate the following √ (2²2 + + 6x − 1)²(x + 3)dx (x²+6x-1)-5 + C 2 (x²+6x-1)-5 3 +C (x²+6x - 1)5…

A: We have to solve given integration.

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(9y) dy =…

A:

Q: he table of integrals to evaluate the integral. (Use C for the constant of integration.) sin (20) J…

A: The solution is given below.

Q: The 7th derivative of f(x) = 3x5 - 12x¹ + 7x³ − 11x² + √5 with respect to a is O 360T O none of the…

A: Topic = Derivative

Q: Find Fourier sine series of f(x) = 4x on - L≤ x ≤ L

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Q: Solve the given differential equation. All solutions should be found. dy 3x²-8y- y³ 8x + 3xy² dx…

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Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: t sin (=) dt du

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Q: Find the area of the region bounded by the curves 1 y (x+4)²² y = 4 and the x-axis using vertical…

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: Evaluate: ff xy² dx dy

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Q: I. 4. Evaluate each determinant. 2 -5 2 -1 4

A: We have to find out determinant

Q: strip.

A: y-axis using the horizontal strip ,  y = 0 , x = 4/0+1 , x=4  so y-axis at x=4 and y= 0. Area of…

Q: II. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 4 D: 6 -3 (8 9 3 323 32 2)

A: In this question we have to find cofactor of 6.

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9…

A: Follow the procedure given below.

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

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Q: / If y" + 2y' F5y = e-Sint, y(0) = 0, y' (0) = 1

A: We solve the given differential equation using the higher order LDE techniques.

Q: 3(a) The cost of manufacturing motor cycles (per day) is related to number to number of motor cycles…

A: Here we have to use the concept of derivatives.

Q: The diagram shows the graph of y=x.x20 for n>1. R B If the red area is three times larger than the…

A:

Q: зи Evaluate the integral: So So So u s2 +u2 ds du dt

A: Given: I=∫02∫0t∫03uus2+u2dsdudt   As we know the common integral. ∫11+x2dx=tan-1x+C

Q: The Substitution Method states that A. If F'(x) = f(x), then [ ƒ (u(x))u²(x) dx = F(u(x)) + C B. If…

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Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 4 y²+1

A: Here we have to find the area of the region bounded by 2x=4y2+1

Q: Evaluate: ₂₁(4x²y — z³) dz dy dx-

A: ∫03∫-24∫104x2y-z3dzdydx

Q: Let R be the region enclosed by the polar curve r (0) = 1 + 2 cos² (0) where ㅠ 0≤0 ≤ iss 3

A: This is a problem related to area bounded by the region. Based on the formula of polar curve we will…

Q: CSC X csc x - sin x - dx

A:

Q: A and b

A: We need to solve maxima/minima problem.

Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Simplifying (5y4 + 2x3y) * dx + -1(4xy3 + x4) * dy = 0 Reorder the terms: (2x3y + 5y4) * dx +…