Consider the curve r(t): = og(t)i + e-tj+ + 5k for t > 2. Calculate limt →+∞ r(t) (if it exists). е

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A: The given differential equation is

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Q: f has ---Select--- 2 (Order your answers so the x-coordinates are in order from least to greatest.)…

A: Absolute maxima :Absolute maximum is the highest point or value of a function within its entire…

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Q: Suppose $23,000 is invested in an account with an APR of 4.9%. If the interest is compounded…

A: Here we have, P=23000r=4.9%=0.049t=10 years.The compound interest is given by,

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Q: The magnitude of the vector (5,-2, 3) is √/38. Select one: O True O False

A: Given vector is: Let vector

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Q: 23-28 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

A: (a) To find the intervals on which f is increasing or decreasing, we need to analyze the derivative…

Q: Use a linear approximation (or differentials) to estimate the given number sqrt(99.2)

A: SolutionLet f(x)=√x and use the linearization at a=100

Q: Find the absolute maximum and absolute minimum values of f on the given interval. π [7] 0, 2 f(t)= 2…

A: In this question, we will find the absolute maximum and minimum values.

Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

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Q: find the derivative  y=4x^2

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: (a) Find parametric equations for the line segment that joins the point P(-1,-4, -3) to the point…

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Q: Consider the function f(x) = 2x³ – 2x on the interval [-5, 5]. (a) The slope of the secant line…

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Q: If C(x) is the cost of manufacturing an amount x of a given product and $10 is the price per unit…

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Q: Solve the following non-homogeneous differential equations: 1) x"(t) + x(t) = 2 cost

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Q: 4. Use Calculus to graph g(x)=x² + 4x³. Make sure that your graph shows all intercepts, extrema, and…

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Q: Solve the second order. Dieg - Ý - ý syes 1 39

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Q: an = 2n + 5 245) 4n+1

A: First, let's consider the limit of the sequence as n approaches…

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Q: Minimize Q=2x² +2y², where x+y=4. X = *-8 y = HE (Simplify your answer. Type an exact answer, using…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

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Q: The median home value in Texas and Missouri (adjusted for inflation) are shown below. Year Texas…

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Q: Suppose f (x, y) =x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

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Q: Find the absolute extrema (max and min) of f(x,y)=3x^2-2y^2 over the disc x^2+y^2<=1. Indicate all…

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Q: If f(x) = f'(x) = f'(4) = tan x - 5 sec x 3x² tan(x) sec(x) X

A: The Quotient Rule:Use the common derivatives:

Q: Consider the following. {-x³ +3, -x² + 4x, x≤0 x > 0 Find the critical numbers. (Hint: Check for…

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Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

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Q: Suppose that lim ƒ(x) = 0, lim g(x) = 0, lim h(x) = 1, limp(x) = ∞, and x→a x→a x→a x→a lim q(x) =…

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Q: The edge of a cube was found to be 11 cm with a possible error in measurement of 0.81 cm. Use…

A: Let the edge of the cube = x

Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

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Q: Consider the following. f(x) = x² + 16 Find the critical numbers. (Enter your answers as a…

A: The function f is increasing on I if f'(x)&gt;0 for all x in I.The function f is decreasing on I if…

Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

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Q: Consider the following parametric curve. Find dy dx dy dx dy dx = Find the value of X = sin (6t) +…

A: Equation of the line : (y-y1) .

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x2 +…

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Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

A: To find the equation of a line parallel to y=−4x+4 and passing through the point (4, -21), you can…

Q: An island is located 42 miles N26°10W of a city. A freighter in distress radios its position as…

A: The figure

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: Suppose a triangle in space has vertices (a, b₁, ²₁), (a₂, bz, C₂) and (93, b3; (3). Explain how you…

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Q: Give the partial fraction decomposition for the following expression. x² - 6x +29 2 X (x - 5)(x-1)(x…

A: we need to give partial fraction of

Q: Profit The profit P (in dollars) made by a cinema from selling & Bags of popc x² 28,000 3,300, 0≤x≤…

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