Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

Q: x² x-o ex-x-1 Evaluate lim А A) 0 B) 1 C) 2 D ∞ by applying L'Hôpital's rule.

A: find limit using L hospital rule option C correct answer

Q: Construct the truth table for each of these compound propositions: a. (pvq) → (p @q) b. (p^q) → (pv…

A: We have to find the truth table for the given compounded prepositions.

Q: f the function. [(x, y) = x²y³ + x, t) = √√√x In r =tan xy (x, y) = x² = e²/(u + 11²)

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Q: r(t) = 8 cos(t)i +8 sin(t)j + tk; t = 2 8 √65 65 √65 0. = X 65 = 0 - 10 .

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Q: alyze and sketch a graph of the function. Label any intercepts, relative extrema, y = x² - 8x + 37…

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Q: '1+tanx Evaluate the integral 1-tanx dx A In sinx-cosx + C B -In cosx+sinx + C C -In cosx-sinx + C D…

A: Here, to evaluate: ∫1+tan x1-tan xdx

Q: A campground owner has 600 m of fencing. He wants to enclose a rectangular field bordering a river,…

A: Given the query is to find maximum area of the field.

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: We have to determine limit of given function

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

A: Given: y=5xx2-1 Solution: Intercept: x-intercept is a point on the graph where y=0…

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y=4-x² b.…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (√25x² 25x² + x - 5x -…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Express the limit as a definite integral on the given interval. lim Σ Σ x;* -ΔΧ, [1,4] 0-700 (x;*)2…

A: To express the given limit as a definite integral.

Q: Question The total monthly cost of a family plan depends on the number of phones, p, and the GB of…

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Q: Find the area region bounded by the loop of y^2 = x(5-x)^2

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Q: A beauty supply store expects to sell 120 flat irons during the next year. It costs $4.80 to store…

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Q: 22.f(x, y) = x²

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Q: 11. If we are told that the tangent line to the graph of y = f(x) at the point x = 3 is y = -2x + 1…

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Q: Q1:-Solve the following equations (choose three only):- 3- x²y + 3xy' + y = 0 4- 2-4x+ 5y = sin3x dx…

A: Given

Q: S: - V dx 2x - √x + 4 VX

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Q: Write an arithmetic expression for the function f∘g, and find the value of f∘g(5) Write an…

A: We have to find the function

Q: d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating · dt dt the product directly…

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Q: QUESTION 4 If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the…

A: To find the probability.

Q: A hive of bees contains 27 bees when it is first discovered. After 3 days, there are 36 bees. It is…

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Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d6 = dx6 x

A: We have to find the derivative

Q: sides and an angle are given. Determine whether the given information results in one triangle, two…

A: Given query is to find there is one triangle , two or zero.

Q: QUESTION 13 Given the following inequalities, fill in the blanks to list the corner points in order…

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Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

A: Given problem:-

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: Given problem:-

Q: Example 5 Video Example Evaluate the following integrals interpreting each in terms of areas. (a)…

A: [5] (a) The given integral is area under the curve y =√(9-x2) [* y2 =9 - x2 or x2+y2 =9 ] and x -…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Calculate the first and second derivative and then go ahead

Q: 46. yz = ln(x + z)

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Q: Find f. f(0) = f"(0) = sin(0) + cos(8), cos(8), f(0) = 1, f '(0) = 3

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Q: C1 = 3 C2 = 2 Cn = -2Cn-1 + 3Cn-2 + 2

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Q: Use factoring by grouping to solve the equation. 2x3 - x²-8x+4=0 *** The solutions are (Type an…

A: Given query is to find the factors of the expression.

Q: For f(x) = √x+1, find ƒ'(x) using the definition f'(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using this,…

A: TOPIC -derivative using limits and equation of tangent line

Q: Given the solution:  y = C1e-2x + C2e2x + x2  Which differential equation is it a solution of?

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Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: Find the radius of convergence of the power series. (If you need to use ∞o or -∞o, enter INFINITY or…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series : A Taylor series is the expansion of a function's series around a point. A…

Q: Evaluating a Definite Integral In Exercises 67-74 evaluate the definite integral. Use a graphing…

A: We want to evaluate the integral.

Q: Express the limit as a definite integral on the given interval. n x;* lim -ΔΧ, [1, 7] n→∞ dx i=1…

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Q: In the figure, the equation of the solid parabola is y=x²-8 and the equation of the dashed line is y…

A: topic - area of shaded region

Q: Find all solutions to the equation. 4 cos 0 = -sin²0+4 Write your answer in radians in terms of ,…

A: cos2 θ +sin2 θ =1 Cosine function takes value in between -1 and 1.

Q: s = t³ - 8t² + 2t, t≥ 0, where t is measured in seconds and s in feet. (a) Find the average velocity…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x6_ X lim x →∞0 x³ +9

A: We need to evaluate the following limit limx→∞4x6-xx3+9

Q: lim x → ∞0 5x²-x + 1 2x² + 5x - 4

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Q: COSX Let esinx = Soos* f (t) dt and f determine the value of (1/2) f(t) dut and f is a continous…

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