Find a formula for the nth term of the sequence where an is calculated directly from n. 2/1, 5/2, 8/6, 11/24, 14/120,... an=? for n less than equal to 1

Q: 2. f (cos 5x −sin 5x) dx cos²5x

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Q: question: 1. The population of a community is known to increase at a rate proportional to the number…

A: The rate of growth of a quantity is proportional to its present value. So, dPdt=kP where P is the…

Q: 2. Please, write an equation to represent the sinusoidal function in the following grap use radians…

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Q: EX: Find the F.T. of the triangular pulses g(t)=AA(+) Sols Apply differentiation property of F-T…

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Q: Differential Equations Obtain the general Solution of xcos2ydx + tanydy = 0

A: Topic =Differential Equations

Q: t. . Sketch the region enclosed by the curves y = x² and y = 4x - x² and find its area.

A: Please refer to the image below

Q: .x = y + dy dr X2 - y²

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Q: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

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

Q: Find the value(s) of y such that the distance between the points is 6. (-6, 0), (-9, y)

A: Solve for the value of y

Q: For what interval(s) is the graph of the rational function negative? I I y 8 4

A: A graph of a function is called negative when it is below x-axis.

Q: to degrees: - to the thousandths place.)

A: We have to convert in degree from the given condition

Q: Find the area of the surface generated by revolving the curve y = √2x-x², 0.5≤x≤1.25, about the…

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Q: Find the general solution of the differential equation 2(2x2+y2)dx - xydy = 0. Let x= vy.

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Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

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Q: The vectors i and j are standard basis vectors. Find the length of the vectors. (Use symbolic…

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Q: How did he get the value inside the circle SA sin² wr (* 1- (Cose = sin²0) 8A W27 4 2 AC x 4 2 N/ AC…

A: Given 8Aω2τsin2ωτ4

Q: 2. a Note: Triangle may not be drawn to scale. Given the triangle above, answer the following: sin…

A: The given right triangle has measure angles A and B and sides 2 and 11 use trigonometric ratio, sin…

Q: 3. Discuss in your own words what is visually/graphically happening at x = as detailed as possible…

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Q: Find all values 197. gh of aci on the the graph of f(x) = -3 sinxcosx where the tangent line is…

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Q: The value of the limit A = lim n-x is equal to the area below the graph of a function f(x) on an…

A: Given function limn→∞∑i=1nπ4ntaniπ4n

Q: The value of the limit A = B = lim 1-8 (use A = 0) n 4 n 5+ is equal to the area below the graph of…

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Q: The top and bottom ends of a windshield wiper blade are 32 inches and 16 inches, respectively, from…

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Q: Give an example to show that vectors are not commutative under the cross product operation. Justify…

A: The objective of the question is checking the commutative fail in vector cross product.

Q: Find all values c such that lim x-2 2c²x 5c +1 x²-3x + 2 - exists. (a real number)

A: We say a limit exists if right hand limit and left hand limits are same. We have…

Q: Ду Use the graph of g to determine lim g(x). x-0 2 1.5 1 0.5 0 -0.5 -1 -1.5 -2 -2.5 -3 -3.5 -4 The…

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Q: 2 ГБА 0 4 - x - y dy dx

A: ∫01 ∫024-x-y dydx

Q: The complex number z is given by Z = z²+1 a²-b² 2z a² + b² a+bi a-bi show clearly that

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Q: Question 24 On a circle of radius 6 feet, what angle would subtend an arc of length 7 feet? (Round…

A: Radius=6feet Arc length=7feet.

Q: Evaluate the multiple integral -3 -1 -4 1 2 dy dz ix dy dz 24x-yz³dx

A: Given, ∫-11∫-4-3∫1224x2yz3dxdydz

Q: Given that 3 -2 1 A= 5 0-2, B = 40 1 14 Evaluate T -3A + 2B 81 -2 4 2 9 -

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Q: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

A: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

Q: (A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the…

A: Given Coordinates of point = (2,4,5) , (1,5,7) ,(-1,6,8) We want to find equation of plane and area…

Q: 16 S 15x-31dx Evaluate the integral

A: Topic = Integrate

Q: 1. Let f(x) be the piecewise defined function as follows: x-1, C. What is f(-2)? f(x) = {2, In your…

A: Note: Since the student has asked to solve parts (d), (e), and (f). So we are solving accordingly…

Q: Prove the identity. tan²x secx-1 (secx + 1)² secx+1 Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: If log b x = 0.32 and log b z = 0.85​, evaluate the following expression. logb sqr root x / cubed…

A: Given :logbx=0.32logbz=0.85

Q: Shown is a graph of y=f(x) List the transformation in the appropriate order of how to make a graph…

A: Transformation rules for functions:-if we transform f(x)→f(x-a)⇒ we have to apply horizontal…

Q: Determine the Exact Values of the following expressions 1. sin210 2. (cos30) (2sin60) 3.…

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Q: Two vectors in the plane, i & j, have the following properties: i. i = 1, i .j = 0, j . j = 1 a) Is…

A: Given Properties of two vector i and j: i.i=1, (i is parallel to i )i.j=0 ,(i is perpendicular to…

Q: In problems 7-9, find 8 (rounded to 6 decimal places) for the given f(x), and values of a, L, & 7.…

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Q: 6. a. Use an x-interval of 0.0001 to determine the instantaneous range of change of the function…

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Q: 8. What is the amplitude of the function f(x) a. 1.5 b. 2 c. 3 = 3(sinx) (2cosx)? d. 9

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Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We can sketch the graph of the given function after complete the table .

Q: Q22) A- Find the volume of the solid generated by revolving region Under the curve (y=4-x²), about x…

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Q: 2 TL (21) 3.The vertex is at (4,-4) and the directrix is y + 5 = 0.

A: Topic = Parabola As per guidelines, At a time only one question can be answered.

Q: () −y] dx + xdy = 0 [ csc (

A: Given that:.      [ xcsc(y/x) - y ]dx + xdy = 0. We find solution of this differential equation.…

Q: O-3 01/1 Let f be a function of x defined as f(x)= Does not exist 3 Find lim f(x). x²-x-2 X-2 3 if x…

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Q: tried

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Q: You are also given a translation of the graph of y = |x + 11. -10-8-6-4-2 ⁹⁰ Write an equation for…

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Q: a focus is at 2. The center is at (-2,4), a vertex is at (3,4), and (4,4)

A: We have to find the equation of ellipse.   According to our guidelines we can solve only one…