- (lim 11100 ce 1500 = 0)

Q: 1. Consider the differential equation: dy = = 2y - cos (3t) dt a. Find the homogeneous and…

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Q: d²y dx² + 3 dv dx -10y=3x²

A: Given problem:-

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

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Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: e3x-6-2, [2x - 5], √x²-9, if x ≤ 2 if 2 3

A: answer is in next step

Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

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Q: limx→→∞ √1-x+2x+7 2 9x +5 - 3x

A: limit.

Q: Complete the table. (Round your answers to four decimal places.) X-7 x-7x²²-8x+7 x 6.9 6.99 6.999 7…

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. [²4x³…

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Q: Find the directional derivative of f(x, y) = direction of Q(2, —2). NOTE: Enter the exact answer.…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: do not understand what the answer for s(x) should

A: It is demanding in terms of constant C.

Q: Given: function f(x) with dom f = R \ {-1} lim f(x) = 00, lim f(x) =+ ∞, lim [f(x)-(1- x)] = 0, x→-1…

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Q: Find the differential dy of the given function. sec² x dy Read It Need Help?

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 3 + 4x + 3x² + 2x³+... and g(x) = 6…

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: ∑n=1∞  n!22n!

Q: More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence…

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 4 1 T(+7) = -√17 Т…

A: given  as you have already found Tangent vector

Q: Bernoulli Equations: 1. (x² + y²)dx - xydy = 0

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Q: Given: (x is number of items) 3844 Demand function: d(x) = √x Supply function: s(x) = 4√x Find the…

A: The demand function is given by dx = 3844x The supply function is given by sx = 4x To evaluate: The…

Q: fx-2dx

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Q: An ellipse of equation 4x²+2y²=k the distance between its foci 2√3Find the value of k

A: A detailed solution is given below

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Q6: If z = x2 and ad y, then 이렇 이렇 소설 이를 Choose e) others

A: Given problem:- If z=x2 and y=z3/3  To find:- dy/dz

Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

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Q: The heights h, and h₂ (in feet) above ground of two people in different seats on a Ferris wheel can…

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Q: ergence or divergence of the given series or state that the Root Test is in 1 n=1 non x.)

A: Given :

Q: A sphere with dimension [r=5m] what is the error that can be incorporated in the redais shuch that…

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Q: Below is the graph of altitude A(t) for a balloon that is rising and falling. 15,000 A(t) 10,000…

A: In the given graph we have to determine tmin and tmax

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 2√x lim CSC X

A: Explained below

Q: Find the exact value of cos(195°) using the fact that 195⁰ = cos(195⁰) = 225° -30°.

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Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Find T(t) and N(t) at the given point. T(17) N() = ㅠ r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 =

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Q: Find the volume of the shaded region when revolved about the indicated axis. Y A B D 493 392 334 234…

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Q: Find the volume of the solid obtained by revolving y(x) = sin(7x) for 0 ≤ x ≤ about the x-axis. (Use…

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Q: II. Find Do not simplify your answers. 1. log, (2x² + y) + tan(x − ³) = sin−¹(x² − 1) +

A: Given problem:-

Q: Determine the interval of convergence for the series 2¹.¹. n=0 The series converges on the interval…

A: This is a geometric series with r=2x.

Q: Express the series using sigma notation 5-10 + 20-40+80 °5(-2)-¹ 21 -2n-5 7-1 0-5(-2)-1 -2(5)-¹ 7-1…

A: Infinite series

Q: Evaluate the following limits. USE OF L'HOPITAL'S RULE IS NOT ALLOWED. 3. lim (x-3) tan(9-x²) sin²…

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Q: Find the area of the region enclosed between f(x) = x² + 4x + 12 and g(x) = Area = | 2x² + x + 2.

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Q: The index of refraction n of a transparent material is the ratio of the speed of light in a vacuum…

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Q: Use Green's Theorem to evaluate the line integral Jo (y - x)dx + (2x - y)dy for the given path. C: x…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: The error in the approximation of a given series is always less than the last term that is used for…

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Range -8 ≤ y ≤ 2 -7 ≤ y ≤ 3 -2 ≤…

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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