Find r(t) if r'(t) = 6t³¡ + 7tºj + √tk and r(1) = i + j.

Q: Let s(t) v(t) = 6t³+9t²360t be the equation of motion for a particle. Find a function for the…

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Q: equa 5 itions all approach y = 4 = 5 5 4 a - Y as t →∞. dt

A: Topic:- application of integration

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: Here, the given curves are y=2x, y=6, x=0 The region bounded by the curve is:

Q: Use Green's Theorem to evaluate the line integral Ico (y - x)dx + (2x - y)dy for the given path. 3π…

A: Solution is given below:

Q: 5. L Evaluate [F DETAILS F. dr. LARCALC11 15.2.029. F(x, y) = xi + yj C: r(t) = (5t + 8)i + tj, 0…

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Q: Imagine that you are trying to decide whether to fly or drive to visit a friend in another state. If…

A: Given: when you fly it will cost you $300 and take 6 hours and if you drive it will cost you $180…

Q: Let y = 3x². Find the change in y, Ay Ay when x when x = = 5 and Ax = 0.3 Find the differential dy…

A: Given f(x)= 3x2

Q: Admission to a baseball game is $3.50 for general admission and $5.00 for reserved seats. The…

A: Admission to a baseball game is $3.50 for general admission and $5.00 for reserved seats. The…

Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial…

A: Please see the below picture for detailed solution.

Q: Given the graph of f' below, which of the following is (are) true about f at x=a? (a) f is…

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

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Q: units

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Q: ll is thrown vertically upward from the top of a building (when t-Oseconds). It has a height functi…

A: Topic:- application of derivatives

Q: Evaluate the integral (8x +9y)dx + (3x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

A: We can observe that x is ranging from 0 to 1. We have the following. So,…

Q: Find the value of the constant k so that the differential equation (e-9 + cos x + kxy)y' = y(y + sin…

A: Using the fact that an exact differential if dM/dy=dN/dx

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

Q: Find the solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

Q: Find dy/dx: y = √√√2x¹ + 3x² +5

A: I have stated the used formulas in the solution

Q: Evaluate the line integral [(x + 7y)dx + (2x − 3y)dy along the curve C: x = 4 cost, y = 8 sint (0…

A: line integral

Q: hraj h(x) = 3x-2 x347

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (2+ s)i - j K= eBook

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

A: Basic partial differentiation and integration is used

Q: Given z=x^3+xy^2,  x=uv^3+w^2,   y=u+ve^w then find: ∂z/∂u when u=−1, v=−2, w=0u=-1, v=-2, w=0

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Q: Find both first partial derivatives. f(x, y) fx(x, y) = fy(x, y) = ху ,2 x + ,2

A: Find the partial derivatives

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: 10 15 20 25 30 monthly salary S( t) in dollars for a dock worker shown above has the following cubic…

A: Please refer to the image below

Q: r = graph (8-2) i+ 10tj O It is a line in 2-space through the point (-2, 10) and parallel to the…

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Q: f(x, y) = 9xye(x² + y²) f(0, 0) = f(0, 1) = = f(1, 1) = ==== f(-1, -1) =

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Q: Find the volume of the solid formed by revolving the area bounded by the curve y^2 = (x^3)(1-x) in…

A: Given problem:- Find the volume of the solid formed by revolving the area bounded by the curve y2 =…

Q: Please

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Q: Let D the region in the first octant bounded by the hyperbolas (xy= 1, xy = 3), and the two planes…

A: Given Data xy = 1 xy = 3 y = 2x y = 4x Z = 4

Q: Find the following values. Round answers to 3 decimal places as needed. csc(-13°)~ sec(5)≈ tan( -8)…

A: Basic trigonometric transformations are required

Q: 31 Given: f(t) = -213/2+4e² Evaluate: F(2) Use 2 decimal places.

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Q: Find curl(5zi + 6xj + 3yk). curl (5zi + 6xj + 3yk) = (i )k )i + ( i )j + (i

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

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Q: Shared with me > 2011- Files Find the Wronskian of two the functions y₁ = cos41_g(t) = e' cos(t).…

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Q: Admission to a baseball game is $3.50 for general admission and $6.00 for reserved seats. The…

A: Given the query is to find the number of each type of tickets sold.

Q: Find the unit tangent vector to the curve at the specified value of the parameter. (₁)-[ = T T r(t)…

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Q: Find V (F x G), if F(x, y, z) = 13xi +j+ 7yk and . G(x, y, z) = xi + yj - zk. V. (Fx G) =

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Q: If D is a subset of R and c is a cluster point of D, implies which of the following? (a) N*(c,1/n) n…

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Q: Hello

A: f(x,y) = 3x + 6y - 1 To calculate the value of f(x,y) at point(x,y) substitute value of x and y in…

Q: Ise the function f and the given real number a to find (f¹)'(a). (Hint: See Example 5. If an answer…

A: Please refer to the image below

Q: Find the general solution of the given differential equation. dy 2 +6y=3 dx x(x) = 2 Give the…

A: To find the general solution of the given differential equation.2dydx+6y=3To give the largest…

Q: 3- Find Laplace transform for function shown in the Fig. (2). Fig (2) k -k 1 1 4 1 6 t

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Q: Find all points of inflection and discuss the concavity of f(x) = x^2 *(3x - 5)^1/3

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Q: Question 7 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

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Q: 13. DETAILS ZILLDIFFEQMODAP11 7.R.016. Fill in the blank. (Enter your answer in terms of t.) ^{2²2²}…

A: inverse laplace

Q: In your own words, explain the central limit theorem. Describe an experiment that could be used to…

A: Explanation:                The central limit theorem (CLT) is a statistical theory that states…

Q: ) Sketch the region described below b.) Set up the integral to find the area of the region inside…

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