Find r(t) if r'(t) = t³ i + et j + 3te³t k and r(0) = i + j + k. r(t) = Need Help? Read It

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Q: 3. Using the derivative rules learned in section 3.2. 5 Let f(x) = 5x - 2x² and g(x) = 3ex − x−³ +…

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Q: Given that lim f(x) = 0 x→a (a) lim lim g(x) = 0 x→a lim_h(x) = 1 x→a lim p(x) = ∞o x→a lim g(x) =…

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Q: The partial fraction decomposition of x² f(x) = " and g(x) 48 = can be written in the form of f(x) X…

A: To find the partial fraction decomposition of .

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Q: -6 (a) lim_ f(x)= -1117 Consider the graph of y = f(x) above. State the values of each of the…

A: Given: To Find: To evaluate the following.Note: Since, the student has posted a question with…

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Q: Find dy/dx by implicit differentiation. x²(x+y) = y²(3x-y)

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Q: Find the first partial derivatives of the function. z = (2x + 9y)7 əz дх əz ду 11

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Q: Nutrition A certain company's Multigrain Cereal for Baby contains, in each serving, 65 calories and…

A: Given:Multigrain Cereal contains, in each serving, 65 calories and grams of carbohydrates.Mango…

Q: 1. Graph f(x) = 3-ex-2 by first writing in standard form and using shifts and transformations. Show…

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Q: a.lim x₂0+x 1

A: we need to find the limit."As per the rules, we are supposed to answer the first question and the…

Q: Thanks for your solution. However, i and j looks correct but would you mind checking k? Because it…

A: Yes there is a mistake in k integration, i correct this, please check answer

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Q: 9) Enter the exact value (no decimals) of the es Sin (Cos' (²)) =

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Q: 15) Integrate Sdx x²+25

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Q: Revenue The revenue (in dollars) from the sale of a infant car seats is given by R(x) = 70x -0.02x²,…

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Q: Evaluate the limit If the limit does not exist, enter "DNE".) imit= lim b5 b-5

A: Let assume,

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Q: 24 lim b7b+1 lim t 5 Calculate the following limits by direct substitution. (b-4)² (1 – t) (t + 5)…

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Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

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Q: Question content area top Part 1 Given lnln2equals=0.6931 and lnln5equals=​1.6094, find ln left…

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Q: Sketch the region that corresponds to the given inequality. (Select Update Graph to see your…

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Q: Find the curvature of y = sin (1x) at x = 4.

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Q: Calculate (t) when k(t): = r(t) = (4t-¹, 2,5t)

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Q: If u=(−3,2) and v=(−3,3)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: Find the length of the given curve: where -1 ≤ t ≤ 4. U r(t) = (-3t, 3 sin t, 3 cos t)

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Q: Revenue The revenue (in dollars) from the sale of a infant car seats is given by R(x) = 70x -0.02x²,…

A: The objective of the question is to find the derivative of the revenue function R(x) = 70x - 0.02x².…

Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = 6t³ − 36t² +…

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Q: Find the total area between the function f(x) = sinx and the x-axis bounded by X x = 1/2 and: x = 2π

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Consider the region in Quadrant 1 bounded by y=x^2 +1, y =5, andthe y-axis. Find the volume of the…

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Q: At which value(s) for x does the graph of y = x³x² - 20x - 9 have horizontal tangent lines?

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Q: Evaluate the limit: 1-cos 3t lim to sin 7t

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Q: dy Using the definition of the derivative, find if y=√x+4. dx

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Q: Graph the given function on desmos.com and find the vertical and horizontal asymptotes. If none…

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