a/ Q ((Laplace)) 1 A²² [5 (5²+25+5)]

Q: Sx [x²cox dx U. V x² Sax - S(α (x²) [ cond) dx dx x² (sinx) - -S 2x Sinx dx U. V. x² sinx - [2x…

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Q: Numerical Integration: 2 1 Jo √x 1. =dx

A: We can find the answer as below

Q: Assume that y is a differentiable function of x such that y^2 = x^2 + 4xsecy. Find

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL. ENCLOSE FINAL ANSWERS. dx xy+3x-y-3 1. Find the…

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Q: Derivatives of Transcendental Functions Directions: Find the derivatives of the following items.…

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Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: d²y dy Consider the differential equation +9y = 9x + 3. dx² dx (a) Find the general solution. (b)…

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Q: 5. Find the volume of the tetrahedron bounded by the coordinate planes and the plane 3x + 6y + 4z -…

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Q: X zx + z p Lim

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Q: 5 L₁ (2.2.²_ (2x² – 3x)dx 2. 2

A: Here we have to solve the given integral.

Q: Lim √2+x² X

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Q: General solution of = dx tan²(x + y)

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Q: Lim x-0 et - 10t X

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Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: The equation of the line containing the points (5,6) and (3,4). y=x-140 y=x+2.80 y=x-2.00 y=x+1DO

A: Topic:- application of geometry  And equation of straight line

Q: 1. Find the limit. lim x118 5x³ + 3x² X- 7x²

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Q: 5 √₁ (2x² - 2. 2 (2x² – 3x) dx

A: We can solve the definite integration as below.

Q: II. Solve the following problems. Enclose final answer. 7.Find of z = 2x³ - 5xy² xy

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Q: Find Laplace 2 2 [sin(34) + 65inh czt) ]

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Q: for a system of two equations in two variables, the graph of the equations are the same lines, then…

A: We have to find out the solution existence

Q: Verify the identity. (Simplify at each step.) 8 sin² x − 8 sinª x = 8 sin² x (1 – - 1 (8- - = 8…

A: Topic = Trigonometry As per guidelines , At a time only one question can be answered. Please repost…

Q: 1. The Maximum point of y=

A:

Q: T T Find the area of the region bounded above by y=11 cos x and below by y=2 secx, - Sxs square…

A: Area of a region is calculate as ∬dydx, when strip is choosen parallel to y-axis see below the…

Q: 7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

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Q: Find the interval of convergence for the given power series. Use interval notation, with exact…

A: We have to find the interval of convergence.

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A: Given that the width of the sheet is = 4108 inches. On each side turn up 108 inches. So the length…

Q: II. Solve the following problems. Enclose final answer. 3 3. The Critical Point of y = xe-*

A: The critical points can be obtained by letting its first derivative equal to zero.…

Q: The exponent in the exponential form is the value of the logarithm. (A) True B) False

A: Topic:- algebra

Q: Find [-2,3) n (-1,5) (3,5) .A (-4,-1) BO [-2,5) .CO (-1,3)

A:

Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Given problem:- Determine whether the following definite integrals converge or diverge and evaluate…

Q: . y(4) + 2y"+y= (x - 1)²

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Q: 5. Given z = arctan (), Find əz/ay

A: We can answer the question as below.

Q: Compute the partial derivative of the function * with respect to z at the point (1,0, 7). Compute…

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Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to ² - y = 0 at x…

A: Let's find area (A).

Q: Radium decomposed at a rate proportional to the quality of radium present. Suppose that it is found…

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Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: 11. In each part state the x-coordinates of the inflection points of f. Give reasons for your…

A: We want to find inflection points.

Q: 3. The Critical Point of y=xe*

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Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: a²z Find of z = In(xy) a²y

A: To find out the double partial derivative with respect to y

Q: Find дz əx 2 x²y²exy for zx

A: Let's find partial derivative.

Q: √√x+1 Sketch the graph of the function Determine the value of x when y = 3, algebraically and…

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Q: This answer is not correct.

A: We can solve this as follows:

Q: Find the derivative of f (x) = 5* In (x). Enclose arguments of functions, numerators, and…

A: Given; f(x)=5^x. ln(x)

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1² d 4.

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Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

Q: (12) Sz sec¹z dz.

A: