Find the nth term of a sequence whose first several terms are given. -2, 4, 10, 16, ... an 6(n − 8) X

Q: Evaluate the limit using L'Hôpital's rule 7x³ e10x lim x →∞

A: Given query is to find the limit.

Q: tan 0 0 and csc0 > 0

A: Given tanθ>0  and cscθ>0

Q: 2. Verify: (sinx+cos x)² = 2 − (sin x − cos x)² -

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: 13. | sin(7t/3) dt

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Q: 2 1.6 F(x, y) = (x² + ( ² ) ²) ** 3 af дх of ду 000 000 ---

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Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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Q: Evaluate the definite integral using Part 1 of the Fundamental Theorem of Calculus. 663³ 17 Enter…

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Q: C 26 D ·6· 14 17 -18- 5 4 B 11 E 27 A Q Find the length of the shortest path from vertex A to vertex…

A: We have to find the length of the shortest path.

Q: [²r(x) dx where 0-{²_, f(x) if -2 ≤ x= 4-x² if 0<x=

A: Topic:- application of integration

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x)= x (50x² +…

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Q: Find the indicated terms of the arithmetic sequence with the given description. The 50th term is…

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Q: Do any of the endpoints fail to satify to inequality? If so which ones?

A: Given x+4x-8≤0

Q: Use a Table of Integrals to evaluate the 3x integral. sin 5xdx

A: Topic:- application of integration

Q: Problem 5. series: (b) M8 M8 (x – 3)n η Compute the radius and interval of convergence for the…

A: ***As per our guidelines, we are supposed to answer only one question with three subparts only.…

Q: The amount of money in an investment is modeled by the function A(t) = 700 (1.0198)'. The variable A…

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Q: A point on the terminal side of angle is given. Find the exact value of each of the six…

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Q: A bucket begins weighing 25 pounds, including the sand it holds. The bucket is to be lifted to the…

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Q: Question What are the critical points for the plane curve defined by the equations a(t) = cos(2t),…

A: Given x( t ) = 13cos( 2t ) y( t ) = 14sin( 2t ) as we know that for critical points dydx = 0

Q: 3. Find the inverse function f-¹(x) of f(x)=3 sin 2x

A: The given function is: fx=3sin2x   To calculate the inverse function of the given function…

Q: not correct

A: Let's solve triple integral.

Q: Use the Midpoint Rule with n = 7 to approximate 5.5 S x³ dx - 1.5

A: Midpoint rule

Q: if f (X) is a Linear function € (-5)--3, and ECD) = -4 Find an equation for E(X)=

A: Given data÷ Function fx is linear function. f-5=-3 and f1=-4

Q: Given y = √x. Find dx dt 11 dx - dt when y = 3 and (Simplify your answer.) dy dt 1.95.

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Q: Integrate I x² √x6 +25 dx + C

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Q: 21-24 Use Part 2 of the Fundamental Theorem of Calculus to evaluate the integral and interpret the…

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Q: r(t) = 300 + 800t - 90t²,

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Q: 36 identical tasks are distributed to 9 different people. Each task is assigned to exactly one…

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Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A: V(x) = (14-2x) (8-2x)(x).

Q: Find the linearization of the function f (x) = x6 at x = 1 L(x) = 囡囡 Using this linearlization, f…

A: Given f(x)=x6 We are required to find the linearization of f(x) at x=1 and using this we are…

Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

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Q: dy dx poileupe sijusionit = xey+x² y(0) = 0 2

A: To solve the following initial value problem IVP.dydx=xey+x2 , y0=0

Q: Find the indicated term of the arithmetic sequence with the given description. The first term is 28,…

A: To find the indicated term of the arithmetic sequence

Q: Find an equation of the tangent line to the curve x = √√t, y=t² - 2t at the point corresponding to t…

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Q: x3y+y3x = 4

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Q: Find the equation of the tangent line to the curve y = 8 sin x at the point (7,4). ( The equation of…

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Q: Evaluate 1₁3 26-3x³ +8 z² dr. Round your answer to two decimal places. ƒ²₁3 zº − 3 x³ + 8 z² dz=…

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Q: 2) Find the first 5 terms of {bn} = {}.

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Q: - the slope of the line represented by the table of values below? How do ? X -2 1 0. 1 2 y 4.5 6 7.5…

A: Given query is to find the slope of the line.

Q: Evaluate ff (¹-2y) d.A where D = {(x, y) = R²| -1 ≤ x ≤ 2 and − x² ≤ y ≤ x²}. D

A: Let's solve given double integral.

Q: Explain all the reasons why the integral the integral as an appropriate set of limits. dr x√x² 9 is…

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Q: For the following expression, find the correct partial fraction decomposition. -3x² 10x 38 (3x − 1)…

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Q: Let Sk Find $5. $5= Σ n(0.1)" n=1

A: The given series sk=∑n=1kn0.1n We have to find the value of s5.

Q: (a) Identify the vertex, value of p, focus, and focal diameter of the parabola. (b) Identify the…

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Q: what is the domain of following € (X)=√x+5 X-5

A: Given: Now, we need to find the domain of the above function.

Q: What is one solution to the trigonometric equation sinx – cos2x – 1 = 0 in the interval [0, 2ㅠ]? ㅇㅠ…

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Q: 3. Without graphing, describe how each pair of graphs is related. Then us graphing calculator to…

A: Topic:- application of calculus

Q: Write the equation of the circle with the following properties in standard form and in general form.…

A: Given center = ( 2 , 4 ) radius = 9

Q: Evaluate each of the following. Explain and show your work. 2dt) -tin(t+1) tan(t)

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Q: 3) sin [Arccos (-1)] 2,

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Q: x = y² and x = 9 YA 4 2. 0 -2- 4 x = y² 2 4 6 + 8 x = 9 10X

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