6. For what value(s) of k, does the function f(x) = Ae**, where A is some constant, satisfy the following relationship: ƒ"(x) + f(x)-12ƒ(x)=0

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Q: Test the series below for convergence using the Ratio Test. 8 n+6 53n+4 n=1 The limit of the ratio…

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Q: Find the component form of vif ||v|| = 2 and the angle it makes with the x-axis is 60°.

A: Given that, Magnitude of v is :  ||v|| =2 and angle with the positive x-axis is θ= 60°. Suppose, the…

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Q: 3. For each of the following, compute dy. You do not have to simplify your answer. (a) y =tan(x³)…

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Q: 8) A particle that moves along a linear path has a known velocity of v(t) = 4.3 sin (2.1t), where…

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Q: Given the area bounded by the parabola x2-4x+12y-20=0, the x-axis and the lines x=1 and x=2.…

A: The area bounded by the parabola x2-4x+12y-20=0, the x-axis and the lines x = 1 and x = 2. We have…

Q: 2 1) Find the area bounded by the curves y = x² and y=√x.

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Q: Given f(x, y) = 9xy + 5xy. Compute: a² f дх2 = a²f = dy²

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Construct an equation where the area under the curve is 1.

A: construct an equation where the area under the curve is 1

Q: The sum can be written as a single integral in the form Determine a and b. a = b = 5 ·[³1(x) dx - 16…

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Q: Given u = 5i + 4j and v=4i - 3j, determine -9u — v.

A: Same cofficient addition and subtraction of two vector

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Q: Find the area of the region enclosed between ƒ(x) = x² − x + 7 and g(x) = 2x² + 1. - Area =

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Q: Find two positive numbers whose product is 16 and whose sum is a minimum. (Enter your answers as a…

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Q: Suppose that we don't have a formula for g(x) but we know that g(2) = -4 and g'(x)=√√x² + 5 for all…

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Q: 18. Determine the volume of the figure bounded by the following planes. z=3 z = -8 Z x - 2y = 6 4x +…

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Q: Evaluate the integral. (Use C for the constant of integration.) 8 sin²(x) cos³(x) dx

A: The integration is given which we need to evaluate.

Q: Find the component form of vector with initial point (-6, 2) and terminal point (7, -3). O v = (-8,…

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Q: (b) So = x-4 r2 – 52 + 6 dx

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Q: Subject: calculus  Using integration, find the area of the region enclosed by the lines 2x+y-6=0…

A: Given equation of lines are as following 2x+y-6=0 ; 3x-2y-1=0; x-3y+4=0 To find the area enclosed by…

Q: (c) Figure 4.1 shows the rough sketch of the function: y = x(x² - 6x + 8) y 0 A Figure 4.1 B X Find…

A: NOTE: Refresh your page if you can't see any equations. . to find the zeros of the function, take…

Q: use the appropriate limit laws and theorems to determine the limit of the sequence or show that it…

A: We have to find if the given series converges or diverges. For this we will apply ratio test.

Q: 6. Consider the following graph of the function f(x) = cos(x). Draw on top of the graph to indicate…

A: Here we have given a function: f(x)=cosx. a) The limit that will compute the exact area represented…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: r 10 A -8 -2 -1 I 3+ 2+ 1+ -1- 2 من -4+ T? ← -5+ M I +1

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Q: 8. Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

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Q: 6. For what value(s) of k, does the function f(x)= Aex where A is some constant, satisfy the…

A: The given function is: f(x)=Aekx  ;       where A is some constant.

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 5,…

A: a(t)=2t+5, s(0)=4, v(0)=-5 Find s(t).

Q: Given a = 6, b = 10, and c = 5, use the Law of Cosines to solve the triangle for the value of B.…

A: The sides of a triangles are a=6, b=10 and c=5.To find : Use the Law of Cosines to solve…

Q: 61. an = nsin RIS n

A: We find the limit of given sequence.

Q: 1 Given that sin A = and tan B = 1, and that angles A and B are both in Quadrant I, find the exact…

A: sinA=126 and tanB=1 ,A and B in Quadrant I

Q: 19. 6 9 ML √y dy dx 2 2 x

A: Here we have given an double intergral: ∫16∫29yx2dydx.   How to change the order of integral? To…

Q: 10) The graph of h (x) is shown below. Find the average value of h (x) over the interval [0, 10].…

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Q: 1 Use a definite integral to find the area under the curve between the given x-values. f(x) 옳 from x…

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Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

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Q: PRACTICE ANOTHER Solve the system of linear equations. (Enter your answers as a comma-separated…

A: x1-x2=0...............A 7x1-6x2=-1..........................B

Q: Evaluate the integral. (Use C for the constant of integration.) [In(√x) dx

A: Short Explanation::-

Q: Determine all significant features (approximately if necessary) and select a graph. f(x) = 2 42-84…

A: We have to draw the graph.

Q: Find the area of the region under the graph of the function f on the interval [-27, -1]. f(x) =…

A: we need to find the area under the graph of the function fx=5-x3, from -27≤ x≤-1.

Q: are there any holes for this function,verticial or horizontal asymptotes?

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Q: Let g(s) es (s³ + 4). 3 a) Find the equation of the tangent line to g at (0,4). y = | b) Find the…

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Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: II. If f\x, y, z/ = ôf of of += e3x+2y+4z, then find x+y Ox Oy ôz

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Q: Find the average value fave of the function f on the given interval. f(x) = 4x − x2,    [0, 4]

A: f(x) = 4x − x2,    [0, 4] We need to find average value of f(x).

Q: Find the vectors T, N, and B at the given point. T = N B || || r(t) = (2 cos(t), 2 sin(t), 2…

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Q: Suppose [*, f(x)dx = 2, ſª f(x)dx = 7, [*f(a)da = 9. [²² [² (2ƒ(x) — 7)dx= f(x) dx

A: ∫-18fxdx=2 , ∫-12fxdx=7,∫58fxdx=9

Q: Find all angles in [0°, 360°) that satisfy the equation. √3 sin 0 = O {60°, 300°} O {150°, 210°}…

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