b. Let A = 17 [2.5 3).c = ; In1+ log100| and D = ‚B = C csc90° Find the following: If B2 -.D + 2AT | Note: X = 5 z = 9

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A: Given:z=3y2-x2+2 above the rectangle R=-1,1×1,5Formula:V=∬R z dx dy

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A: Given:fx,y=x9y5-x∂f∂x=?∂f∂y=?∂f∂x1,-1=?∂f∂y1,-1=?

Q: A rectangular room is 1.5 times as long as it is wide, and its perimeter is 40 meters. (a) Draw a di...

A: (a) Consider that the rectangle has length l, which is 1.5 times of its width w. The figure of the s...

Q: Use Separation of Variables to solve the initial value problem. dy : (1 + y²) tan z, y(0) = v3 xp

A: solution of the given equation is tan-1y + log(cos(x)) = π3 detailed solution is given below  

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A: For the given function:                                  f(x)=-4x-5       Simplifying the expression...

Q: 3x Find f'(x) given that f(x) = Vr' + 2x – 1

A: Given:fx=3x2x2+2x-1Differentiation formula:ddxuv=vdudx-udvdxv2

Q: Please help me with this question.

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Q: Find the indicated limit lim(3.x – V9x - x) 2 treat the expression as a fraction whose denominator i...

A: To find the limit: limx→∞ 3x-9x2-x=limx→∞ 3x-9x2-x1 Rationalize the numerator first: Multiply numera...

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A: Given that, f(x)=x-3-2       ...(1)

Q: 5. Find the dimensions of the rectangle in the figure shown below that will give the maximum rectang...

A: let's assume length of rectangle is yfeet now, equating perimeterP of given figure with 12feet so, P...

Q: (b) Find a linear model using the first and last data points. (Use x for income measured in dollars ...

A: Question is not complete.

Q: Let non-coplanar vectors a, b and c. |a| = \b| = 1, le| = 4, a 1 b, (c,a) = (c, b) = (c^a) = (c:d) =...

A:

Q: The rate at which a substance grows is given by R'(x) = 195 e 0.5X, where x is the time (in days). W...

A: This question can be solved by integrating R'(x) with proper limits.

Q: Let h(x) = x2 - 1 and g(x) = Vx. Find the following: %3D a. h(g(x)) b. g(h(-1)) c. g(g(256))

A: Given,         hx=x2-1 and gx=x

Q: Determine convergence or divergence of the alternating series. (-2)n 5n6. 2n n-1 Diverges Converges

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Q: Find the domain of the vector function r(t) = (sqrt(25-t^2),e^(-2t),ln(t+3))

A: Given:        r(t)=⟨25−t2,e−2t,ln(t+3)⟩

Q: Please i want answers for questions 2-5

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A:

Q: According to a study, each additional year of education increases one's income by 18%. Therefore, wi...

A: In the given expression, 1.18x = 2 This can be solved by taking log both sides

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A:

Q: Prove e^z1/e^z2 = e^(z1-z2)

A:

Q: Engineering analysis

A: After separating the variables to one side of the equation,we will need to integrate using by-parts ...

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A:

Q: Q/3 x2-9 + m, x# 3 Let f(x) = x-3 тx + 3k, x = 3 Is cont. at x = 3, find the value m&k if f(-1) 8.

A: Given  fx=x2-9x-3+m,     x≠3mx+3k,           x=3  is continuous at x=3 f-1=8 To find value of m and ...

Q: I will appreciate a detalied explanation, so I can do similar exercises.

A: Given function is, ∫-16cos2xdx For n = 8.

Q: 3

A:

Q: Which identity is correct? cos(θ + π) = cos(θ) cos(θ + π) = -cos(θ) cos(θ + π) = sin(θ) cos(θ + π) ...

A: cosθ+π=cosθ cosπ-sinθ sinπ    ∵cosx+y=cosxcosy-sinxsiny=cosθ·-1-sinθ·0=-cosθ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.