Given .5 8 | f(=)dz = /f(2)dz + f(2)da – | f(a)da, -6 6 what are the limits of integration a and b? a = b =

Q: dx 24. Integrate: J Ve-2x-1 А. Sec 1ex + C В. Sec-1e С. -Sec 1e* +с + C D. –Sec-le-* + C dx 25.…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

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Q: Determine whether the sets S, and S, span the same subspace of R. s = ((0, 0, 1). (0, 1, 1), (8, 1,…

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Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

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Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

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Q: Explain why S is not a basis for M, O sis inearly dependent. O s does not span M.2 O sis linearly…

A: We can solve this as follows:

Q: Demuestra la convergencia o divergencia de las sucesi S2n-11 (3n+1J 2 converge - 3 Converge a 0 1…

A: The given sequence is: 2n-13n+1 Let, an=2n-13n+1

Q: Determine the following indefinite integral. Check your work by differentiation. dt 49t + 49 6. dt =

A: Here we have to determine the indefinite integral.

Q: 1) Find an equation of the tangent line to the curve y5+x2y3 = 1+x4y at the point (1,1).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 8 sec 0d0 3. S V4 + 4 cot2 0 is equal to A. 4 ln csc 0 + C В. 4 In sec ®+ С C. 4 In cos 0 + C D. 4…

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Q: dx = - 4 In|x| +C %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the initial value problem below using the method of Laplace transforms. on 1 y" +3y-18y=0,…

A: The given initial value problem is: y''+3y'-18y=0, y(0)=4,y'(0)=42

Q: GIVEN : 2x 2х - 2x ) + 6 1 1 f (x) = 1 --x 8 g(x) = 3(x + + 4 h(x) = 6 - || 3 a.lim -4 · f (x) d.lim…

A: For (a),     limx→2-4 f(x)=limx→ 2-41-18xPlug in the value x=2=-41-18· 2=-3

Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

A: Solution: y2 = x2  y=x32 y'=32x12

Q: any method to determine if the series converges or diverges. Give reasons for (n!)8 Σ (7n)! = 1

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

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Q: Determine whether Rolle's Theorem applies to the following function on the given interval. If so,…

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

Q: 13 dt 9+6t 4 (9+6t)5

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: is 8 g/cm while a

A: answer is in next step

Q: The function f(t) = 4(1.5)' determines the height of a sunflower (in inches) in terms of the number…

A: Since you have asked multiple part question, we will solve the first 3 sub part question for you as…

Q: e following: (x) = 2 + x – x², [a,b] = [0,3], p = 1 %3D he two conditions of the IVT are satisfied.

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Q: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: We need to find antiderivative.

Q: Consider the mass-spring system for mass 0.5 kg, spring constant 4.8 N/m, and an oscillating force…

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Q: Part 2: Exponential Growth and Decay and Logistic Growth Model (3) Suppose an experiment was…

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

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Q: S sin x In(cos x) dx

A: Given problem:- ∫ sin(x) ln(cos(x) dx

Q: Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3).…

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Q: Consider the following higher-order differential equation. d³u d?u + - 2u = 0 dt3 dt2 Find all the…

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Q: dy = 6 3y – x- dx

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Q: y" + 27y' + 7y = 0 + Ty = 0 %3D

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Q: (a) f(x) dx 10 15 (b) f(x) dx

A: Here we have to find the given integral using the area under the graph

Q: Find the solution of the differential equation s' = vt – 1+ 2s²s' that satisfies the given initial…

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Q: 4. The function g(t) = (8t)* – cosh² t + sinh? t satisfies g'(c) = 0 for which value of c? %3D (a) c…

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Q: Consider the following function. f (x, y)  =  (x − 4) ln(x6y) (a) Find the critical point of  f.…

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Q: Given the following acceleration function of an object moving along a line, find the position…

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Q: ance between the skew y = 5+ 2t, z = 5 – 4 y = 6, z = 1+3 e exact answer.

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Q: please

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Q: Explain why S is not a basis for R2. S= {(3, 5), (1, 0), (0, 1)} O sis linearly dependent. O does…

A: The given set S=3,5, 1,0, 0,1

Q: it. notation and fractions where needed.)

A: We have to find the value of the given limit according to the rule of limit

Q: (x + y)dx + (x – y) dy = 0

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Q: хах 11. The integral f 4-х2 is equal to 1 A. In | | + C C.-글m14- x리 + C 4 x+2 2+x B. In |4 – x2|+C…

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Q: Determine the following indefinite integral. 1 dy 14y

A: ∫114ydy=114·∫1ydy=114lnyAdd a constant to the solution=114lny+C

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Find all real numbers x that satisfy the following equation. 4x ( 1/2 )9x  =  8

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Q: Determine whether the following equality is true or false. 2-x2 D -1 x where D = {(x,y)| xr² + y²…

A: ∫∫Df(x,y) dA = ∫x1x2∫y1y2 f(x,y) dy dx.