Find the limit of the sequence 7 n + 2 lim Show your work. V2n+7

Q: 3t e2t dt Evaluate the following integrals. 4 Зе + - 5t5/2 a dt - t3 2x cos(9 - x2) dx sin(9 – 2) -…

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Q: Let the a sequence {fn} be defined by 00 fn fi = 1,f2 = 1,fn = fn=1 + fn=2,n > 3, then sum of the…

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Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: 1. S v2x – x² dx 1+x2 2. S* dx 1+x3 3. SV1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: A sales representative for a company that produces electric can openers can sell x units of their…

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Q: Solve the differential equations using the substitution suggested by the equation. (x + 2y - 1)dx +…

A: Given the differential equation is (x + 2y - 1) dx + (2x + 4y - 3) dy = 0; when x = 2 and y = -1.

Q: Determine whether the given series converges or diverges. If it converges, find its sum. -2 *-0…

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Q: Txーt e lim 4x² 4,2 +4x

A: Consider the limit  limx→0 e2x-14x2+4x

Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We will find the possible age of Rojana and AJ in the following step.

Q: Suppose that a population of insects for an experiment increases according to the law of exponential…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.…

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Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

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Q: The following figure shows the graphs of y - f(x) and y = g(x). together with the indicated areas.…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

A: Let's find.

Q: The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is the output power…

A: Given problem:- The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is…

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A: Given that: x + y &gt; -1 ; 2x + y &lt;= -3  We find the solution of the system of inequalities by…

Q: Question 9 Below is a geometric interpretation of の) O Newlon's iméthod O Jacobi's method O…

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Q: Find the value for k so that the function will be continuous at x = 3. %3D - 10x2 - 10x + 120 - 1 1…

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Q: 144-inch length of pipe is to be cut into 3 pieces. The second ece is twice as long as the first…

A: Topic:- geometry

Q: rotational. essible.

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Q: x2 a) lim X o e2x

A: We have to find out limit of given function using  L' Hopital's Rule which is as follows in step 2 .…

Q: In the differential equation (1 + 3x sin y)dx - x2 cos ydy = 0 , we let the substitution w =…

A: Solve the following

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x y+z=2…

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Q: dy 2²+1 Use the quotient rule to find the derivative of the function y = dx О А. dy 1 = 2x(x+ V) –…

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Q: Tristan will deposit $196 into an account every two weeks (26 times per year). The account earns an…

A: Given that Tristan will deposit $196 into an account every two weeks (26 times per year). The…

Q: Pirediond find the AREA baunded by the given Hek Curnd and The

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Q: Given the sequence {un} with: п — 3 Un ,n > 1 5n + 1

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Q: r = - 10i + (1 – 1² )j + t k O It is a parabola in the plane z = – 10, with vertex at (1, 0, – 10),…

A: Find your answer below

Q: --6 lim sin (9x)

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Q: PART C dy 12. Show that dx 2 for the relation %3D V%3D10, x, y X. # 0. y

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Q: 4y" – 0 +12y' + 9y - 0 e. f. y" – 6y' + 9y – 0

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Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

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Q: t sin(t² + 4) dt cos(t² + 4)

A: To evaluate: ∫tsint2+4cost2+4dt Let I = ∫tsint2+4cost2+4dt

Q: Solve the differential equation dy xy y(0) = -3. dx V1+ x? There is no need to isolate y.

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Q: Evaluate the definite integral. el" i+ej+t k)dt O el7 i - e- j+ 17 k O el7 1 i- (e-- – 1) j + , k…

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Q: Solve the differential equation xy? ; /1+ x² dy y(0) = 4 dx There is no need to isolate y.

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Q: Find the curvature K of the plane curve at the given value of the parameter. r(t) = 6ti – 8tj, t = 1…

A: The formula for the curvature is κ(t) = r't×r''tr't3

Q: -5 -4 -3 -2 -1 1 2 5 -2 -3+ What is the least possible degree of the polynomial graphed above? 3.

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Q: (c) Find a and b such that the following function is continuous at z= 1: (2² + a, z1.

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Q: Suppose f: I R is increasing, for some interval I. Show that lim f(x) < f(xo) < lim f(x).

A: This question can be solved using the definition of increasing function.

Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 5 cos(t)i + 4 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Here is the solution

Q: This dota shows fthe amount of sugar (in pounds) in different packoges How much total sugar is…

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Q: ||r'(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = el2"i +e-j 12ts K(t)

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Q: Solve the differential equation dy æy? y(0) = 1 dx /1+ x² There is no need to isolate y.

A: A detailed solution is given below

Q: Question 5 Find all the first sder partial derivatives for the following function. f(x, y) = x(x, y)…

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Q: Find the Jacobian a(x, y, z) a(u, v, w) for the indicated change of variables. If x = f(u, v, w), y…

A: x=ρ sinφ cosθy=ρ sinφ sinθz=ρ cosφ

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of…

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Q: 2. Let f(x, y) = (2x – y,x – 2y); (x, y) E R × R, (R is set of real numbers.) a) Show that fis one…

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