In Exercises 1-3, find the general solution of the differential equation specified. dy 3. 2t 1+ 124 = 3

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Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

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Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: (b) Find the points in which the required line in part (a) intersects the coordinate planes. point…

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Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

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Q: 3. Find a power series representation for the function. (Give your power series representation…

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

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Q: Choose the integral that would find the area inside r = 3 sin 0 and outside r = 2- sin 0

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Q: r the function. (Center your power series r - (Enter vour a nswer using interval notatio

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Q: The volume V of a right circular cone of radius r and height h is given by V =r?h. %3D (a) Find a…

A: Given the volume V of a right circular cone of radius r and height h is V=13πr2h.

Q: Find the volume of the solid that results when the region enclosed ... by the given curves is…

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Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

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Q: Given the differential equation y'' – 5y' + 3y = – 4 sin(5t), y(0) = – 2, y'(0) = 1 | Apply the…

A: Given,  y"-5y'+3y=-4 sin(5t)

Q: Consider the function y= ¿x³ – a. Sketch the graph of y= -x³ - 9x + 4. b. Find and describe the…

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Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

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Q: Identify the conic section -3x? – 12x - 5y = 37 Parabola Ellipse O Hyperbola What are the…

A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

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Q: 27x2 + 9y2 - 81 = 0 %3D

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

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Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

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Q: Use Newton's method to approximate a root of the equation x + x + 4 = 0 as follows. Let 1 = - 1 be…

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Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: This question can be solved using the concept of point of inflection.

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. + dy

A: Line integral

Q: Consider the following functions. f(x) = 6x – 5, g(x) = !! 3. Find (Fo g)(x). Find the domain of (Fo…

A: f(x)=6x-5  , g(x)=x3Consider(f∘g)(x)=f(g(x))             =f(x3)             =6x3-5…

Q: dæ4 evaluated at x = -1 dx evaluated at x = –1 dx? evaluated at x = -1 dx3 dªx4 evaluated at x = -1…

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Q: Consider the ellipse 64x + 289y + 384x + 1156y - 16764 = 0 What are the foci of the ellipse? Enter…

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Q: Find all the values of x such that the given series would converge. 10)" 10" T-1 The series is…

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Q: Find x' for x(t) defined implicitly by x+t°x+t -8=0 and then evaluate x' at the point (-2,2).

A: x3+t3x+t4-8=0Differentiate w.r.t…

Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

Q: Find the graph of the equation 9x 2 + 25y 2 = 225.

A: Here we have to graph the given equation 9x2+25y2=225

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: 1. Determine the convergence or divergence of each of the following sequences {a, }. sequence.…

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Q: Find the particular solution of the following ODE given that y(0)=7 and y'(0)=0: d’y dy dx -+3-10y=0…

A: To find the particular solution of ode

Q: 36 – x2 – y? and S2 be t Let Si be the hemisphere with Cartesian equation z = 6 – upper nappe of the…

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Q: Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).…

A: To find the equation of circle passing through three given points.

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Father will fence a circular garden whose radius is 3.5m/ How many meters of fencing material will…

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Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

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Q: Find a power series representation for the function. Determine the interval of convergence. (Give…

A: Given f(x)=58-xwe know that the power series11-r=∑n=0∞ rn

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

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Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=0: d'y_4dy –4+3y=…

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