A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0)) ав (1 - 2 sin(0) + sin²(0)) d0 Зл 2 Г 5л 2 Г Зл 2 Ра кIа

Q: 2. The Substitution Method states that A. If F'(x) = f(x), then [ f(u(x))u' (x) dx = F(u(x)) + C B.…

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Q: Find S dx √x-2x+1

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Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: Choose 1 answer: A 13 klo ㅠ 4t2 + 16 sec4 (t) dt

A: Please refer to the image below

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

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

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: In Evaluate the integral: Sto st² sin s teu du ds dt

A: The given integral is: I=∫12∫tt2∫0lnsteududsdt   The Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: Evaluate the integral: .0 ²/3 t ln u tan s ds du dt 2e π/3

A: Given: ∫-10∫e2e∫0π3t lnu tansdsdudt

Q: Evaluate the following [s sin(4x) dx cos(4x)/4 + C -4cos(4x) + C - cos(4x)/4 + C O-4cos(4x) + C

A: To evaluate: Integral

Q: In 3 2 – sinh x tanh x cosh x dx

A:

Q: 3. The definition of Antiderivative states that A. A function (x) is called an antiderivative of the…

A: 3. The antiderivative of a function f(x) is a function whose derivative is equal to f(x).

Q: dy Write down a differential equation of the form dx 17 all other solutions diverge from y = as t →…

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Q: Solve the given differential equation. All solutions should be found. dyx³ 8y dx X NOTE: Use c for…

A: As we know that; The standard form of 1st linear order differential equation is: dydx+Pxy=Qx So, the…

Q: I. 1.) Simplify. Write "undefined" for expressions that are undefined. 2 [164] -6 -5

A: Topic = Matrix

Q: f(x, y) = = /25 - (x - 2)² - y²

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Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

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Q: Solve the following system by Gauss-Jordan elimination. 2x1 + 7x2 + 33x3 = 29 6x122x2 + 105x3 = 91…

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Q: Q9. If W = f(u)=u³ +sin ¹u+lnu, and u= ax +by, where a, and b are constants, show that aw Əw b oy Əx

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Q: Consider the parametric curve: X = = 7et y = 3t5 Which integral gives the arc length of the curve…

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

Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

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Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis, and…

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Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: Option (i)

Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

Q: 1. I. -5 3 Evaluate each determinant. -3 -4

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Q: π ← r = 2 sin(0) ㅠ 1 → 0 2 r = 2 cos (0) π Determine the exact length of the perimeter of the region…

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Q: Evaluate: ₂1+ 2y dy dx ₁¹

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Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y²=x and y=x³.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: please do the second (b)

A: Let's find volume when rotated about y axis.

Q: Evaluate: xy² dx dy S

A: Given: ∫04∫0yxy2dxdy

Q: -2 [(x² - y²)²] x+y Evaluate: ³₁² du dt

A: Since the integration is to be done with respect to u and t but the given function in the bracket is…

Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

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Q: 3 Evaluate: ³₂²₁₁²[z³(x + y)³] dz dy dx

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Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

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

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Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s s6 3

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A: Explanation of the answer is as follows

Q: For each of the following ,find fx fy fxx fy fyx and fxy f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹e². 3.…

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Q: Three forces with magnitudes of 5 pounds, 8 pounds, and 120 pounds and direction angles of 90°,…

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Q: For f(x) = √ √2-4 4- ™ Of is not continuous at x = 4 Of is continuous at a Of is continuous at a 5…

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Q: Evaluate the following * 5 Sa 4x - 1 In(4x - 1) 4 O II -dx + C 5ln(4x - 1) 4 + C 5ln(4x − 1) + C 4…

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Q: 1. Find the cofactor of 6 in matrix D 9 8 4 2 -9 3 4 D= -3 2 3 3 2 968 7 6 (8 9

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Q: [x²√1-x² dx

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Q: ع لح ل(۸ + ")APNPLPLg للع(۸

A:

Q: The value of A.cos(x²+)+C cos (x² + + C fx sin (x²+3) de dx B. - cos (x² + 5) + C D. -cos (x²+)+C

A: Option (B)

Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: ๆ ³₁₂₁ (4x²y — z³) dz dy dx -2 J1

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Q: 1. Find the Inverse Laplace Transforms of the following. 4 1) -1 S-3

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Q: show that V(x, y) = x 'f (2x+y) is the genera Solution of : du 2X x av ах 1 ду

A: First, we find ∂v/∂x and ∂v/∂y  and substitute them in the given equation, if it satisfies the…

Q: Evaluate: ₁ [2³(x + y)³] dz dy dx

A: