Write the system of equations that corresponds to the augmented matrix. Use xx, yy, and zz for the variables.   3 -3 5 6     -2 6 4 38     -5 -6 1 -37     Equation for row 1:   Equation for row 2:   Equation for row 3:

Q: Given the differential equation and its initial conditions y" + 7y' + 12y = 8 with y(0) = -2 and…

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Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

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Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 --->1dtdx=12t-4…

Q: Plot the point whose cylindrical coordinates are given. then find the rectangular coordinates of the…

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Q: 20. Evaluate: 2x²Vx3 + 1 dx:

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Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: Find the following limit. x + 2 lim x→-8- x + 8

A: Given that a limit problem and we solve this problem by using general property of limit.       Here…

Q: Simplify cos2θ*(1+tan2θ)

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Q: Solution Set -20 -10 20 -10 20 Say whether the region is bounded or unbounded. The region is…

A: The region that corresponds to the given inequality,10x+5y≥505x+10y≥505x+5y≥40x≥0, y≥0

Q: Use the currency exchange rates in the table for the following question. You arrive in Mexico City…

A: Given query is to find the amount of pesos can be bought in $420.

Q: Find the area of the triangle with vertices P(1, 2, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: For a certain automobile, M(x) = - .015x + 1.49x - 7.9, 30 sx s 60, represents the miles per gallon…

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Q: A. Evaluate the following integrals. dx 1. 5+x2 dx V4-9x2 dx 3. x V16x2–25 dx 4. x2+4x+13 2.

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Q: Given D (4, 2) = 5, frz (4, 2) = -8, we know that (4,2) is a minimum we cannot tell maximum saddle…

A: Note :

Q: Find each limit: 3x2 - 2x + 2 A) lim 11x? - 8x 9. T 00 B) lim エ 0 12x + 8 C) lim 8x2 + 3x 7

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Q: Find the dy/dx by implicit differentiation. 1. 4x2 – 9y2 = 1 2. x³ + y3 = 8xy 3. x? – 7xy + y2 = 0 |

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 The Product rule:…

Q: 7. Given: y = 3 ; Find: dy/dt V16+tª -613 (16+t*) -2t3 (16+t*) (16+41) 글 (16+t*) ? (E) None of the…

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Q: A manufacturer of hospital supplies has a uniform annual demand for 500,000 boxes of bandages. It…

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Q: A factory is dumping pollutants into a river at a rate given by dx/dt = 3/4/100 tons per week, where…

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Q: The cost of producing q units of good is C(q) 0.1q2 +3q+ 100 pesos. The firm can sell q units when…

A: This question can be solved using the concept of derivatives and rate of change of quantities.

Q: Write the first six terms of the sequence given by a1 = 2; an+1= n+3 n+2 an: and then give…

A: We have to find the nth term

Q: x =r' +1, y=r -t d'y d’y b) Find dx?

A: Given: x=t3+1 and y=t2-1

Q: 4. The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: We need to find population model and solve.

Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: Find the absolute maximum and minimum values of each function, if they exist, over the indicated…

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Q: clearly

A: We have to choose the correct option according to the given information

Q: 2. Find the absolute maximum and minimum values of the function f (x) = - on the closed interval -2…

A: We need to find absolute max and min value in given interval.

Q: 4. 4. | cotx csc*xdx

A: We have to find the integral

Q: Let f(x) 2x + 9x? – 108x 5. Calculate the derivative f'(x) = Calculate the second derivative f''(x)…

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Q: 4x x - 3x – 18 logarithms. Express powers as factors. 20. Write log2 asthe sum and/or difference of

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Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: Given query is to find average cost and marginal cost.

Q: cot'x csc'xdx 4.

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Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: (a) log2 r = 3 I+2 (b) 8. = 4* %3D (c) 5 = 7+1 %3D

A: Given query is to find the value of x.

Q: Determine the value of x that satisfy the following equation; sinh-1x = In(3 – x²) – In(x + v3).

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Q: Calculate the angle 0 between vectors a and b when a = i – 2j + 2k , b = 2i + 3j + k %3D

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Q: x =r +1, y=r -1 c) Find an equation of the tangent to the curve at the point corresponding to t = 1.…

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Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Sx² e**dx 1.

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Q: Find ?Va² - x2 dx

A: Explanation of the answer is as follows

Q: dx V4-9x2

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Q: If y = 5u² + 1; u= 2 , find dy %3D do O 21 O 20 O 11 O 10

A: Given : y=5u2+1 ; u=2x   To Find : dydx

Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

A: Given query is to find series converges or diverges.

Q: The graph of a function h is shown below. Find h(-2) and find one value of x for which h(x) = -1.…

A: h(-2) =3 h(0) =-1

Q: V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval…

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