sin?A = 01- cos?A cos?A - 1 1+ cos?A

Q: Evaluate f(e* +2*) dx a.) 2e* ++C b.) e2* + 2ln* + C c.) e* ++C d) e2x + 2ln x + C Evaluate fesx-2 d...

A: This question is based on indefinite integral.

Q: . Find all the second-order partial derivatives of the function z = f(x, y) = e2xe"

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Q: x3+ 4x2-9x-36 3. у 3 4x2+28x+48

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Q: An+1 Use the ratio to determine if the sequence { ne" }, +o is strictly increasing or strictly decre...

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Q: sec e can not be written as cos e cos 20 sec 20 1/cos 20

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Q: Let f(x) = V /1 x and g(x) = 2 + x. (b) Evaluate the following. (i) (f – g) (1) (ii) (-) (2)

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Q: Homogeneous Differential Equation: (r* +2xy– 4y° kdx– (x² – 8.xy – 4y dy = 0 Let: x = wy dx= wdy+ydw...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: Find the differential equation of the family of cuves and draw at least three members of the family ...

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Q: cotetan3e + 1= sec?e 2 csc?e

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Q: 28. Evaluate f 5 sin 3x dx 2+cos 3x a. 2 In 15 sin 3x| + C b.- In 12+cos 3x|+C c. In 15 sin 3x| + C ...

A: Evaluate integral

Q: Given cost and price (demand) functions C(q) = 120q + 43,100 and p(q) = - 1.8q + 860, what is the ma...

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Q: = 1. Find the general term of the sequence, starting with n = 1. Determine whether the sequence conv...

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Q: 11. Evaluate f- 2 sin 3x dx 4+cos 3x a.) -2 In 14+cos3x| + C b.) 3 In 14+cos3x| + C c.) - In 14+cos3...

A: Solve by integration

Q: 4.1 Finding Critical Numbers Q 17 (t): tJ4-t, t<3 tく glt): t(4-4) (t):そも(4-t)^):-(と(4ーと))=0 t(4-t) 5...

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Q: Solve for the orthogonal trajectories x²(3k – x) – ky² = xy?

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Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: Consider the following sequence: S(-1)*+1 > n2 {a,} = %3D n=1 (a) Write out the first five terms of ...

A: answer is following-

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Find the difference quotient f(a+h)-f(a) if f(x) = 2x – ! - 1 h

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Q: Given point P(5, 12), find cos 0 5/13 12/5 12/13

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Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: (1/cscx)(1/sinx) = %3D sin?x 1 csc?x

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Q: dx 3x2 + 11x + 6

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Q: 1 eB*[Scos2x - psin2x] + C *sin2xdx a Find: a + B + 8 + p

A: The given integral is e-3xsin(2x).

Q: KLL- čircult C lonsider a

A: In this question we are given the RLC Circuit.

Q: sin 2 x + sin x + cos 2 x - 1 = _______ tan x cot x sin x cos x

A: We can solve it as below.

Q: Find all solutions to the following equation on the interval 0<B< 2x (in radians). 2 cos (8) + cos(8...

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Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

A: We need to find the differential equation of the family of curves described below: All tangent lines...

Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: Find the Maclaurin Series for the function f(x) = sinx/x

A: The given function,   f(x)=sin xx

Q: Write the first five terms of the sequence: +oo {Vn² + 7n – n}n=1 - Determine whether the sequence c...

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: Mark the critical points on the following graph.

A: Given, To plot the critical points in the graph

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: x3 dx = (x* +4)2 8.

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Q: Find the Taylor's series for the function x4+x-2 centered at a=1

A: We use the Taylor series of f(x)=summation of fk(a)(x-a)k/factorial k from k=0 to k= infinity. where...

Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³/y2 + z² at the pointP,(2,3,4). ...

A: Given that        f(x,y,z) = x3√(y2+z2) 

Q: Use any method to determine whether the series converges or diverges. Σ k + 1 k=1

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Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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Q: 38y" - 7у %3 2 2y" + 7y = -x 7 3 7y" – 7y =- 2 8

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Q: Which of the following expressions does not equal 1? sec²x - tan²x csc²x - cot²x sin²x - cos²x

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+7z=46. Roun...

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Q: The height of a projectile launched into the air is given by f(t) = - 16t + 220t +9, where t is the ...

A: Average rate of change

Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

Q: Names: Verify Green's theorem for the vector field F(x, y, z) = xy +x'y J, where D is the reeion in ...

A: Use the statement of green's theorem for a simple closed curve.

Q: Find the equation of the tangent line to f(x)=−2x−4x^−1/2+3 at the point (4,−7).

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Q: Consider the following sequence: S 7" {an} = 1=1 An+1 to show that the given sequence {an} is strict...

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Q: 1. The flow rate of a fluid is described by F in units of kg/(m²-s). It is flowing through a membran...

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A: