Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly decreasing. n +00 19n-8 n=1 ( an+1 = an =

Q: Consider the following infinite series. Complete parts (a) through (c). Σ 310.1) k=1 a. Find the…

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Q: Problem 3 Find a curve in the xy-plane passing through the point (1, 3) and for which the normal…

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Q: • Find f' (-1) for f(x) = (3x + 2)² in each of the following ways: • Create a table of secant slopes…

A: Solution is given below:

Q: Use the given triangles to evaluate the expressions. Rationalize all denominators. √√2 A 1 45° 1 5)…

A: We know that cos θ=Adjacent sideHypotenusecos 60=12

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find the function F that satisfies the following differential equation and initial conditions. F'(x)…

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Q: xdx

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Q: Find the average value of f(x) = Enter the exact answer. fave = x (6x² + 5)² over the interval [0,…

A: Avg value is given by below

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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Q: Find the 2nd derivative of f(x) = √2x-x²

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Q: Use the information given below to find sin (a-ß). 12 5 12 tana= with a in quadrant III cos ß= 13 I…

A: Find sin(alpha-bita)   When tan(alpha)= 12/5 in third quadrant  And cos(bita) = 12/13 in first…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: The matrix B is the result of performing a single row operation on the matrix A shown below.…

A: Given matrix A=-1374-4-12

Q: You could take a 15-week, three-credit college course, which requires 10 hours per week of your time…

A: Given :  3 credit college course for 15 weeks. Which requires 10 hours per week

Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…

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Q: If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that…

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Q: Consider the function f(x)=√/2x-8 for the domain [4, co). Find f(x), where f¹ is the inverse of f.…

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Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 4x2x² g(x) = c₁f₁(x) + c₂f₂(x) +…

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Q: Find the critical points of the given function. 5. f(x) = 2/3+2/3 +x-2/3 6. f(x) Va 7. f(x) (3x +…

A: Given: 5)     fx=14x43+x13+x-23 After simplifying we get     fx=14x43+x13+1x23 Critical points:…

Q: Consider the function f(x, y) rectangular region D = | 1,1|×|-1,1]. Which of the following…

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Q: its wrong please do it again

A: To find fx, if,f''x=2+cosx, f0=7, fπ2=2

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: We have to find r(t).

Q: Q2 a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel to the…

A: We have to solve above question of vector and 3D.

Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: Solve couchy Euler differential equation by putting y=x^m

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t2k,   u(t) = 5ti +…

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Q: 14. Given the function f(x) = 3x³ – 48x find the following: (Round to 1 decimal place) a) The x and…

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Q: Evaluate the ff (show all steps) S X 2/3 x+1 dx

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Q: 1. Find the value of c so that the lines 5x+cy = 4 (A) c = -3 (B) c=15 x-3y=9 and x- (C) C=-15 (D)…

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Q: (a) Verify that y=tan(x + c) is one-parameter family of solutions of the differential equation y'= 1…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-2, 8) for…

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Q: y=-3 x=- V25 – x – y dxdy=

A: To solve the following double integral

Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

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Q: Consider the following information fz(x, y) = 2xy - 2r³ and f₁(x, y) = x² + y² – 6. Use the Second…

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Q: In √x + 2 = 1 es 5.389

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Q: Determine whether the series is absolut Σ n = 1 sin(n) 57 O absolutely convergent conditionally…

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Q: Evaluate the indefinite integral: + 1+x8 dx

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Q: Find the Taylor series centered at c = -1. 7 3x-2 f(x) = Identify the correct expansion. ∞ 3" - 7 Σ…

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Q: Consider the function f(x) below. Over what open interval(s) is the function decreasing and concave…

A: We need to find out the intervals on which the function is decreasing and also concave up.

Q: Find the solution of the equation correct to four decimal places. In (ex-3) = 6 Select the correct…

A: Given that     ln(ex - 3) = 6

Q: Solve the given IVP using Laplace transforms. x" - 2x + x = 2tet x(0) = 0, x'(0) = 0

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Q: A B 3-5 In Ix-31+ C X --5 In Ix-31 + C x3 3x²+5 (x-3) S: C dx x3+5 In Ix-31+ C D x3 +5 In Ix-31+ C

A: Evaluating the indefinite integral

Q: explain

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Q: Find r'(t), r(t), and r'(to) for the given value of to. Then sketch the space curve represented by…

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Q: (b) (c) 0 (69) (89-19) 0 0 0 0 0 0 1 2 3 (9) (6 9.6 9.6 2 1 0 0 0 1 0 4. Determine whether the…

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Q: The graph of the second derivative f" (x) is given below. On what interval(s) is the function f(x)…

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Q: Question 1 Let a = 2i - 3j + 2k and b = i - 2j - k. a) Determine whether the vectors a and b are…

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Q: Q.2: Find the trigonometric Fourier series of the periodic function f(t), and show if it is odd or…

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Q: į j x=0_y=√x | g(x,y) dydx=

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Q: Evaluate the integral. Select the correct answer. 1 15 cos ²6 x - = cos 6x + C cos³6 6x- 18 O…

A: Given :∫sin36xdx