Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = 51 u = (0, 4, 4)

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Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: The given question has been solved in detail

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Q: Exercise 2: Determine the measures of the numbered angles in the following figure 6 5 92° 1 b.

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Q: Researchers have found a correlation between respiratory rate and body mass in the first three years…

A: Here, the given function is: log R(w)=1.85-0.48log (w)...(1)

Q: Given the function f(x)%3D 2x2 f(x + h) - f(x) Find the difference quotient h f(r + h) – f(x) Find…

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Q: y(x) = tan3x² + In(5x*)

A: Given problem:- y(x) = tan((3x2)(1/3) +ln(5x4))   To find:- find dy/dx of following functions by…

Q: ​Recently, a certain bank offered a 10​-year CD that earns 2.48​% compounded continuously.   Use the…

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 2 for the function f(x) = x* - 7x. %3D…

A: Topic = Series

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A: Given query is to find the number of units in indicated years.

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: 1. f(x) = tan(2x) - 5

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Q: 6 Evaluate (3x+4yʻ) dA by changing to polar coordinates, where R is the region in the upper…

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Q: A region bounded by f(x) = 2x-2, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: A region bounded by fx=2x-2, y=1, y=4, and x=1 is shown below.To find the volume of the solid formed…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: 1. ſ f(x)f'(x) dx 2. S Vx³ dx 3. S csc?x dx

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Q: 4.1: 8) A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the…

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Q: S 2x(x² – 2x)dx

A: Solving the problem by finding the value of the integration.

Q: Find the equation of the tangent plane at the point x = xo = 4, y = yo = 1 of the surface %3D z =…

A: Option C is true

Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation in slope intercept form is given by:y=mx+cwhere m=slope, c=y-intercept

Q: If m s f(x) < M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Given problem:-

Q: If hyperbola 36x^2 - 49y^2 - 100 = 0 has an eccentricity of e= √85/7, what are the asymptotes and…

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Q: If m < f(X) < M for a < x s b, wherem is the absolute minimum and M is the absolute maximum of f on…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) 7, f(7) = 2, f'(7) = 13, f'(6) = 6…

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Q: The function h(t) represents the height of a ball above the ground (measured in feet) in terms of…

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Q: 3. a) Use the sum of the first 10 terms to estimate the sum of the given series. n-1 b) Improve this…

A: We have to find the sum and improve the estimates.

Q: Suppose that f and h are integrable and that: L f(x) = -1, f(x) dx = 5, h (x) dx = 4 , Find: %3D %3D…

A: Answer and explanation is given below..

Q: *Sketch all appropriate regions or solids.* Evaluate the integral by using a Jacobian "…

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Q: dx Vx2 + 2

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Q: A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart.…

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Q: Find the equation of the line tangent to the curve f(x) = 2/(x+2) at x=0

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Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

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Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 2 seconds.…

A: Follow the procedure given below.

Q: Find the derivative of the function y = (cos(x))" .

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: _2 .2 y = у — 2х* + 3x — 4х, у — х* Find the area of the region enclosed by the two equations. (make…

A: the region is bounded by y=2x3+3x2-4x, y=x2

Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road…

A: The police car and the red car are at the twovertices of a right angle triangle with legs of200 feet…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Using L'Hospital method, this can be solved very easily. So, I have use that only.

Q: Find the derivative of f with respect to x of f(x)=ln x8.

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Q: 253 4x

A: Given query is to find the value of the integral.

Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: 2. Find the directional derivative of o = yx2 +x²z + 3xyz in the direction of vector n = î + 2 ŷ -2·

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Q: A region bounded by f(x) = V4-x² ,y= 0, and x = 0 is shown below. %D Find the volume of the solid…

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Q: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

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Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: Graph the function and its inverse using a graphing calculator. Use an inverse graphing feature, if…

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Q: Determine whether the following equation represents an exponential growth or exponential decay.…

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