Find the distance between the skew lines with parametric equations x=3+t, y=2+6t, z = 2t, and x=2+25, y = 4+ 145, z = -2 + 5s.

Q: 5. Using the definition of the derivative, find the slope of the tangent to the given curve at the…

A: (a) y=2, (1,2)from defination of derivatives f'(x)=limh→0f(x)-f(x+h)h

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Q: The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate.…

A: INTRODUCTION A collection of two or more linear equations that share the same set of variables is…

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Q: Find the largest number & such that if |x - 2| < 6, then |4x − 8| < &, where & = 0.1. 8 ≤ Repeat and…

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Q: -3 10. y = 5t-³ +7t-8/3

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Q: 11. Draw a possible graph of a function f(x) with the given description. a. f is continuous on all…

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Q: Verify that the indicated expression is an implicit solution of the given differential equation. 2…

A: Here is the solution:

Q: Find the absolute extrema of the function on the closed interval f(x)= 6-x, [-3, 3] Minimum (x,y)= ?…

A: Given function f( x ) = 6 - x

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Q: The area A of the region S that lies under the graph of the continuous function is the limit of the…

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Q: Find the area of the surface generated by revolving the curve y=√√2x-x²,0.5≤x≤1.75, about the…

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Q: Describe the steps you would follow to find the limits of integration that express a double integral…

A: The steps to find the limits of integration that express a double integral over a nonrectangular…

Q: Let ƒ : R² →→→ R be defined by f(x, y) = (x² + y²) ³. Find f(x, y). Note: the partial derivative at…

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Q: Use logarithmic differentiation to find the derivative, of y=√x(x+8) dx' dy dx 11

A: By using logarithmic differentiation to find the derivative, dydx, of y=xx+8.

Q: Find the derivative of all orders of the function. y = y' = X 4 A 3x³ 4 + 9 x³ - x² +6x-3

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Q: Find the limit: sin(3x) lim x-0 sin (7x) lim x-0 tan (7x) sin (3x) (tan)

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Q: Find the absolute extrema of the function on the closed interval. g(x) = 5x² - 30x, [0, 7] minimum…

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Q: Verify if the given function is a solution of the indicated differential equation. 1. y = In…

A: Verify if the given function is a solution of the indicated differential equation. (1) The DE is…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 (5 + ex)² et [(s+ dx

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Q: 30 The equation for the tangent to the curve is (Type an equation.)

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Q: 26 - x - 5 X→ 1 √5-x-2 Evaluate lim

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Q: The x- and y-coordinates of a moving particle are given by the parametric equations below. Find the…

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Q: Find the center of mass of a thin plate covering the region bounded below by the parabola y=x² and…

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Q: Find the equation of the plane that contains all points that are equidistant from two points…

A: Given that two points A(-1,3,2) and B(8,-2,4) and we find the equation of plane that contains all…

Q: The graph of f (x) is shown in Figure 2.18. Which of the following are true for f as shown in this…

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Q: The trajectory of a particle is given by 7(t) = (et², cos(2t + 9), e-t). Find its velocity, speed,…

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Q: Populations starting out in closed environments grow slowly at first, when there are relatively few…

A: Here we have to find the graph of the derivative of the fruit fly population. After observing the…

Q: Use the graph of g in the figure to find the following values, if they exist. If a limit does not…

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Q: Find the antiderivative G(t) of (t) = (te²²₁ +2²² that satisfies G(0)= (1, -4, 2). (Your instructors…

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Q: The water depth in a harbor is 6 m at low tide and 14 m at high tide. One cycle is completed in 12…

A: NOTE: Refresh your page if you can't see any equations. . let the function is in the form of the…

Q: Solve b) and c)

A: Given that (b) ϕ=x2yz+4xz2, point is (1,-2,-1) in the direction of 2i-j-2k.

Q: a farmer has 100 yards of fence to use to maka rectangle corral, let x be the length of the coral he…

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Q: Assume that x and y are both differentiable functions of t. Find the required values of (a) Find dy…

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Q: Find the slope of the graph of the function g(x) = tangent to the graph at that point. The slope of…

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Q: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream…

A: Here we to find the maximum value.

Q: Find the angle between the velocity and acceleration vectors at time t = 0.

A: Here is the solution:

Q: Use Gauss Quadrature to evaluate the integral 15 e with n=3

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Q: When interest is compounded continuously, the amount of money increases at a rate proportional to…

A: dSdt = rS where S = amount present at any time t r = annual rate of interest

Q: nd the value of the constant c that makes the following function continuous on (-∞0,00). [cs + 4…

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Q: differentiable at x = 0 and that u(0) = -4, u'(0) = 1, v(0) - 7, and v'(0) = 3. Find the values of…

A: Solution:

Q: Solve the separable differential equation dy dt Use the following initial condition: y(0) Write…

A: The given differential equation is: dydt=tt2y+yy0=6   Solve the given differential equation.

Q: Evaluate the integral. (Use C for the constant of integration.) | نام (7-e4)² du

A: The given integration is ∫eu(7-eu)2 du We have to find the integration.

Q: Solve the given initial-value problem. - (x + y)² dx + (2xy + x² − 4) dy = 0, y(1) = 1

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Q: A new car worth $24,000 is depreciating in value by $2000 per year. Complete parts (a) through (c).…

A: NOTE: Refresh your page if you can't see any equations. . x=number of years  y=value of the car in…

Q: (a) Compute the following values. f(0) = 100 f(10) = 75 Amazing work! Amazing job! (b) How many days…

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