Determine the x, y, and z components of the unit vector in the same direction as [5,-2,-6].  Components must be given in decimal form correctly rounded to two decimal places.

Q: Find the work done by a force of F¹ = newtons applied to a point that moves on a line from (4, 6)…

A: To find the work done by a force of F→=-3, 2 newtons applied to a point  that moves on a line from…

Q: (2,5). Find the angle between the vector, in degrees. Let ā = ( − 1, 4) and 6 = Question Help: Video…

A:

Q: At noon, ship A is 120 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing…

A:

Q: Water runs into a conical tank at the rate of 9ft. The tank stands point down min and has a height…

A:

Q: The electric current i (in A) as a function of the time t (in s) for a certain circuit is given by i…

A: Given query is to find average value of the current.

Q: Which of the following improper integrals are finite and well-defined? (Tick all that apply) (A)…

A: The answer is in step 2.

Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x +110. Use the…

A:

Q: Question 13 The best substitution to be used in S√√4+ √ædx is Oy=√x O y¹= = x y = 4+ x O tan² 0 = √

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the Taylor series generated by f at x = a. 5 f(x) = a=1 2 X Choose the correct answer for the…

A:

Q: solve the differential equation. show complete solution x^2 dx + y ( x - 1 ) dy = 0

A:

Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast (in cm²/sec)…

A:

Q: Evaluate the indefinite integral sin² t cos³ tdt =

A:

Q: Find the equation of the tangent line of the function f(x) = (e/2)^x(x^2+11) at the point (1,6e).

A:

Q: Two cars leave from the same point. Car A drives North for 2 hours at 30mph, and car B drives east…

A:

Q: A rectangular field is to be fenced off along the bank of a river, and no fence is required along…

A:

Q: can you please solve ( i) ?

A: The given data is: To show that the given relationship is true: i) sin2x=121-cos2x

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians,…

A:

Q: Find the particular solution for this differential equation given the condition where y(1) = 1.

A:

Q: Evaluate the integral. 29 fe 9s √s ds ds =

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x + y - xy, D is the…

A: The given function:fx,y=x+y-xyThe closed region D is the closed triangle region with vertices 0,0,…

Q: If an arrow is shot straight upward on the moon with a velocity of 66 m/s, its height (in meters)…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x² - 2x…

A: Please see the below picture for detailed solution.

Q: Find the Taylor series generated by fat x = a. 6 f(x) 7 Choose the correct answer for the Taylor…

A:

Q: Find all the second-order partial derivatives of the following function w = 6x sin (8x²y)

A: Find all the partial derivatives of the given function   w=6xsin8x2y

Q: 6. (a) Find the directional derivative of w = x²y² at the point (1, -3) in the direc- 5T 5T tion of…

A:

Q: Find the derivative of g when g(x) = x* cos(x). 1. g'(x) r³ (4 cos(x) - r sin(x)) 2. g'(x) = x (3…

A:

Q: Consider f(x,y)=39−x2−y2, and let z=f(x,y). What is the z=9 level curve?

A: Given function:- fx,y=39-x2-y2

Q: (2t3/2, cos 3t, sin 3t) from 0 to t, where 3. Find the length of the curve r(t) = t> 0. That is find…

A: Given curve is r(t)=(2t3/2,cos3t,sin3t) Note:- As per Bertleby Guideline I have to solve only first…

Q: Evaluate the integral. In 9 Se ex In 5 dx

A:

Q: the maximum value isn't correct

A: There is mistake in sign while calculating maximum value of function.  I have corrected it .

Q: Find an equation for the tangent line to the graph of f at the point P, S (-)) when f(x) 9 tan(x).…

A:

Q: Algebraically determine the following limits: lim+x-12 +3x²-5x+6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x) = 5x - 6 cot x. r. 4

A: Given: f(x) = 5x - 6 cotx

Q: A company's total cost, in millions of dollars, s given by C(t)=110-60e where t is the time in years…

A: A company's total cost, in millions of dollars, is given by Ct=110-60e-t where t is the time in…

Q: For the function f(x,y,z) = In (5x + 4y + 3z), find fx, fy, and f₂.

A: We have given function  fx,y,z=ln5x+4y+3z Put 5x+4y+3z=u   f=lnu fx=∂f∂x=∂∂xlnu…

Q: mi

A: given function is g(x)=∫x2cosxt+sintdtthen we have to find its derivative now , differentiate the…

Q: Use the relation lim 0-0 lim y-0 sin gy 7y sin 9y 7y sin 0 0 Select the correct choice below and, if…

A:

Q: Evaluate ftan tan4 r sec4 rdr +C

A: M=∫tan4xsec4xdx1+tan2x=sec2xd dx(tanx)=sec2x

Q: Evaluate the definite integral. Le 1 t³ ln(3t)dt

A: Detailed solution is given below.   Integration by parts used here. ∫a(x)b(x) dx = a(x)∫b(x) dx -…

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by fat a. 5п f(x) = cos x, a = 6 Po(x)…

A:

Q: Determine if the limit lim 110 4 sin 2r - 2x Т xists, and if it does, find its value. 1. limit = 6…

A: The given limit limx→04 sin2x-2xx. We have to find the given limit.

Q: If s = [3, 2, 9] and t = [-4, 7, 2], are two vectors in 3-space, then find the vector 3s - 2t.

A:

Q: The equation y = c₁e²x cos 3x + C₂ e²x sin 3x is a solution of what particular differential…

A:

Q: पी T [-3, 3] Graph of f b The graph of the function fabove consists of four semicircles.if g (2) = /…

A:

Q: Evaluate the following integral. In (3x/2) S 11e cose dv In (7x/6)

A: This is a problem related to integration. Please follow the procedure given below.

Q: Let f(x) = (a) f(1) = (b) f'(6) = 2x³ - 5x² x2 Evaluate f'(x) at the following points:

A: f(x)=2x3-5x2x23xba=xbad dx(x)m=mxm-1

Q: Compute the volume formed by rotating the region bounded by the curves y = ln x, y = 1, y = 2, and x…

A:

Q: If f=x-3/x+1, find f(a+h)-f(a)/h

A:

Q: -2x Find an equation of the line tangent to the graph of G(x) = 5e The equation of the line is y= at…

A: Equation of tangent line

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: NOTE: Refresh your page if you can't see any equations. .