2.b) Eliminate the Arbitrary Constants in the equation: * x²y = 4 + Cy x?y = 4 + y' x?y" = -4y O b. a. xy? – 2y' = 0 y = -4y d. C.

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A: Given query is to find the integration using substitution.

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A: Topic = Functions

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A:

Q: EVALUATE

A: ∫ x-3x-1+x2dx

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Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

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A: Topic:- geometry 

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Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: 124 Х 209

A:

Q: Find the domain of the function V3 - 4z f(z) = 22 -9 and write your answer in interval notation. Dom...

A: The domain is the set of possible input values of the function.

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A:

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A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 4. 4 Lfe...

A: given : ∫-52f(x)dx=-3 , ∫24f(x)dx=8 , ∫24g(x)dx=8(a) ∫-5210f(x)dx=10∫-52f(x)dx=10×(-3)=-30 ∫-5210f(x...

Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

A:

Q: -1, and f'(4) g'(4) = 5. Suppose h(r) = (f(r) + VI) · g(r), f(4) = 3, g(4) : What is h'(4)? Express ...

A: Topic = Functions

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A: f(x) = xmultiply  by 1414f(x) =14 x      ( Vertical Shrink by 14)now multiply by (-) sign -14f(x) =-...

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A: Let's find. 

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A: Topic:- derivatives

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A: topic - solution of linear equations using matrices

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A: Given that: ∫5tan2β.etan2βsec22β.dβ

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Q: XV In(5x) We substitute u = In(5x

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Q: Evaluate  ∫√(1-7x^2) dx

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Q: In Exercises 1 – 3, find (a) shape, (b) amplitude, (c) period, (d) width, (e) shift, (f) (x,), T1, x...

A: Given: (1)     fx=3 tanπ x-2π3-2 (2)    fx=-3cot2x-π3+1

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

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A: topic - application of derivatives

Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

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Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

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Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

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Q: For the missing elements to satisfy the condition A-1 + 14 = E e 2 b 3 5 -2 A 4 -2 i -3 Ly a 268 14 ...

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Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x, y)...

A: Topic:- calculus

Q: 5 The function f (x, y) =| x² cos² is homogenous in x and y of degree,

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Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following mat...

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A: To solve the integration. 

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

A:

Q: 1. function f(r, y) = 4(x² + y²)e *. Find the local maximum and minimum values and saddle point(s) o...

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Q: regions between the given curve and y= 1 ,y=1, and y=4 1+y 134 X= 2

A: Given: - The curve is, x=11+y2, y=1 and y=4 and y=0 around the x-axis. To find: -The volume generate...