What is the formula for the total distance traveled by an object with a velocity v(t) = −3+² +9 on the interval [0, 5]

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Q: Use the precise definition of the limit to show that lim . x→2 x2 + 4x − 5 = 7

A: Using the definition of limit we have to show that:  limx→2 x2+4x-5=7

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Q: If f(x) = 2e³², what is the average value of f(x) between [1, 4]?

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A: Given Integral  ∫xcos( x2 )dx∫xcos( x2 )dx = G( x ) + C Given condition F( 0 ) = 2

Q: what type of a calculus calculation is this?

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Q: 1. lim 1-2x - 3x² 1+x X→-1 2. lim X-2 3. lim √5+y-√5 y-0 y

A: Given: limx→-11-2x-3x21+x First, simplify the expression -3x2+2x-11+x: Factor the numerator:…

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Q: 7. Use the convolution theorem to find the inverse Laplace transforms of: 1 (a) F'(s) = (²+9)2 1 (b)…

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Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

A: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: Determine the following limit: 2e 2x Him (2²-2-2) x-0

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Q: Given 2sin(x)= − 1, on the interval 10, 2], what is the value of x? 7개 11개 이뽕 {픔. ㅠ (픔·품] 6 6 7개 5개…

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Q: Find the area enclosed by the ellipse a² b + y=-b√√√a²-x² y² 62 b y=1/√√a²-x² = 1 shown in the…

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Q: Let f(x) = e (a) reflecting the graph of g(x) in the x-axis; (b) reflecting the graph of g(x) in the…

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Q: Find the general solution of the given differential equation. dy + (cos³(x))y = 1 dx y(x) = cos²(x)…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: For an object whose velocity is given by v(t) = 3-t, what is its displacement on the interval t = 0…

A: Given that v(t) = 3-t and interval is t=0 and t=4. We find displacement of this object.

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Q: (b) Use the function to find T(30,000). $ (c) Find the tax due on a taxable income of $120,000.

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Q: Use a table to find the Taylor polynomial P3 (x) for f(x) = √I-T around c = 2.

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Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

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Q: Given the region bounded by the graphs of y = In x, y = 0, and x = e, find the following. (Round…

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Q: 19.) Find the indicated of 0. exact value of the trigonometric function CSC =-9/8, is in quad III 7…

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Q: Consider the following. f(x) = x29 Find the x-values (if any) at which f is not continuous. Is the…

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Q: 3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx. x + y

A: As per our guidelines we are supposed to answer only one question ,please repost the other question…

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Q: 3) Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 3, -2, and 1…

A: The intercepts are: x-intercept , a = 3y-intercept , b = -2z-intercept , c = 1 To determine: The…