First, solve the following system of

Q: -17x - 60y satisfying the initial conditions x(0) = -33 and %! Find the solution to the linear…

A: The solution is given in the next steps.

Q: Find the asymptotes of the functians and serch theems 2. Y x-3

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Q: Find the area between the curves y=|x- 4 and y=-+4 . y=\x=4| 2 O 120 sq. units O 48 sq. units. 64…

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Q: 2 The sum of an infinite geometric sequence is seven times the value of its first term. a Find the…

A: Given problem:- 2 The sum of an infinite geometric sequence is seven times the value of its first…

Q: 6- Use Newton-Raphson method to solve the system x3 + y - 1 = 0 y3 – x +1 = 0 with the starting…

A: answer is in next step

Q: Let f(r, y) = - 4

A: This is a problem related to function calculation. Based on the formula and concept we will find the…

Q: In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the %3D…

A: We have to find maximum directional derivative.

Q: a) Let E be the solid that is above the xy-plane, enclosed by z = 18 and = 2. Evaluate the following…

A: Given integral E be a solid above xy-plane and enclosed by z=18 and z=2r2   and triple integral…

Q: (-1)"n+ a) Is the series >, n5 + n + 1 n=1 convergent, absolutely convergent or divergent? justify…

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Q: Let f (x) = 1(1 2 2 +4. Evaluate f(-8). f(-8) = Number

A: Given f(x) = -½(½)x + 4 We have to find f(-8)

Q: 5t4 dt 4. Vt5 +2

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Q: Calculate the test-statistic, t with the following information. ni 20, ãi 2.37, s1 0.3 %3D n2 = 30,…

A: We have to find the test statistics.

Q: The consumer price index, C, depends on the current value of gross regional domestic expenditure E,…

A: Let's find.

Q: Find all values of x and y such that Px(x,y)=0 and Py(x,y)=0 simultaneously.…

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Q: d?y 7. y = e2" – 3e-, dx? dy - 2y = 0 dx

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Q: Consider the function f (z) = es: Show that if f (z)is purely imaginary, then 2n +1 T, n = 0,±1,±2,…

A: Complex function

Q: Evaluate the following integrals: |cos 2xdx |2 x – 5kdx - 1. 2.

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Q: Describe the end behavior of the graph of the function f (x)=-5(4)" – 8 For o0, type in the word…

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Q: Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = x2 + Y (x, y) # (1, –1) x +y is…

A: Here, the given function is: f(x,y)=1;   (x,y)=(1,-1)x2+yx+y; (x,y)≠(1,-1) lim(x,y)→(1,-1)

Q: 12. Evaluate: 212 – 3/ī +1 dr (4) / (e) /: (a)/2 sec (20) de | rVr-1 dr (b) dr 16+9r2 sin t dt cos?…

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Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

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Q: Evaluate: Poe Adh a. e O b. C. e O d.

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Q: Calculate the left rectangle approximation of - using five subintervals. dx L5 = 1.260 O L5 = 0.746…

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Q: The graph of a function f is given below. According to the graph, f"(x) > 0 on (3, o0). y = f(x) -2…

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Q: g(x) = "In(5 + t?) dt Ji

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Q: Consider f(x, y) = 3a² – 4y² and U = cosn î + sin }r î. %3D %3D Find the directional derivative of f…

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Q: olve the equation x y² dy = (5 x³ + y³) dx using Homogeneous method.

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Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. 2х -…

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Q: Which test is most appropriate for In(n+4) series: 2 n =1 n*+2? b) series is convergent or…

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Q: Solve the system. Use any method you wish. 9x2 - xy + y2 = 11 2x + y = 4 List all the solutions.…

A: In this question , we can find the solutions of the given system .

Q: For the curve defined by 7(t) = 4 cos(t)i + 4 sin(t)j + 3tk evaluate | F"(u)||du S = to find the arc…

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Q: Let D be solid cone /x² +y² <:<1. Use CYLINDRICAL COORDINATES and find the mass if the density is ô…

A: To find the mass .

Q: Ed has a rectangular garden along a bank of a river. He plans to enclose it with a fence with a…

A: Note: The area of a rectangle A = length × breadth = xy

Q: Given the triangle 17 find the length of side x using the Law of Sines. Round your final answer /37°…

A: The triangle has length 17, x and angles 37°, 14°

Q: Evaluate each definite integral. y f(x)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the volyme oF the solid Formed by revolving by the graphs of y=x< +I, Y=O the region bounded…

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Q: - 4( Let u(t) = 8t i+ (-9)j-8k and v(t)= e'i+9 ej- e "k. Compute the derivative of the following…

A: topic - dot product and derivative of a function

Q: L-1 (2s-9 Is²+2.

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Q: Finel the areca of Hhe region above the x-axis bouncled by the fuunetion 9= 4x-x?. う.

A: Area of a region bounded by a curve y=f(x) is given by, A=∫abydx where a and b are points of…

Q: 2t dt (1² +2)*

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Q: * Adh Evaluate: Рое

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Q: Points A andB are separated by a lake. To find the distance between them, a surveyor locates a point…

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Q: e 2x dx 4e2 – 8e + 5

A: We have to find anti derivative of given expression.

Q: 3/2 X+ dx

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Q: (a) lim g (t) (b) lim g (t) t 2 t-3

A: answer is in next step

Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

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Q: y* + 3y2 + Evaluate f*, in two ways: using partial fractions and using a trigonometric…

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Q: point 50 meters closer to the building, the angle of elevation is 31°. Approximate the From a…

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Q: dy 2 2 13x +3у - 4ху, then at the point (A) -4 %3D (B) 4 (C) -1 (D) dx 3 3 The inflection point of y…

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Q: Find the area bounded by the curves y 6x - xand y= x -2x A) 128/3 B) 57/3 C) 64/3 101/3

A: Given problem:- Exit the area bounded by the curves y=6x-x2 and y=x2 -2x