Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj,u v•u= (Simplify your answer.)

Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A:

Q: An entrepreneur decided to set up a soda business. Due to this intention he bought a PET bottle…

A: 1 year = 365 days

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=8-x, x=0, x=6,…

A:

Q: For numbers 12 14. A parabola defined by the equation x+3 = (y + 2) is translated 4 units down and 3…

A:

Q: 1. Consider A = (0,4, 2), B = (6,0,0) and C = (3,0,-1). %3D %3D (a) Find the unit vector in the same…

A: B-2A+C=<6,0,0>-2<0,4,2>+<3,0,-1>…

Q: A = (Round to thế heares There is no solution. e the value of a. Select the correct choice below…

A:

Q: 18. Which of the following equations represents an ellipse with horizontal minor axis? A+ 16y - 16…

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the specified…

A: Since you have posted multiple questions as per guidelines we can solve only one question at a time…

Q: i need the answer quickly

A:

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin…

A: Given: Q=0,-2,10l1:x=1, y=2t-3,z=5-t

Q: sin x S + 3x)dx 1. cos x dx 8 sin?x cos²x 4. 了 1 2. 了 dx 1-cos x 5. J sec x(sec x – tan x) dx 2 secx…

A: These all are solved by the help of standard trigonometric Antiderivative.

Q: dx J V1-4x2

A:

Q: Evaluate the integral [(4?) i + (3) j+ (5t + 3) k] dt. 1 i + (3) j+ (5t + 3) k] dt = (O i+ O ij+ (O.…

A: Topic = Integration

Q: Evaluate the following integrals using Trigonometric Substitution: 1. X-1- 16x dx

A: integration using substitution

Q: Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of…

A:

Q: 1. Determine if the following function is periodic. If it is periodic find the fundamental period,…

A:

Q: the

A: We have to choose the correct option from the given options according to the given information

Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

A:

Q: x-16 x'+8 The function f(x)=D- has derivatives f'(x)= 48 and f"(x)=- 10 (d) Determine the intervals…

A: Given problem:-

Q: 2. y=x² - 4x and y=-x² +2x. y² = x and x² –2x+3y= 2. 3.

A: Given÷

Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

A:

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) 2 sin x What is…

A:

Q: a²z B. For each of the following functions z, find z ²z əxəy and əx²' @yəx'axây' 1. z = 2x2 – 5xy +…

A:

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: Given problem:- Use differentials to estimate the amount of paint needed to apply a coat of paint…

Q: 27. f(1) = 1 + e*" 28. f(1) = r² - eW + 5 29. f(1) = (1 + e?)2 30. f(1) = (e' – e")? 31. f(1) = 412…

A: Given÷

Q: Find the limit 19sin(5x) lim 28x x-0 a. 5 28 Ob. 95 28 19 О с 28 d. None of these. O e. 95 28

A:

Q: For the following exercises, evaluate the integral. S(wew + w²ew*)dw 5.

A:

Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 15. What are the coordinates of the vertices of the ellipse A. (-6,0) and (6,0) B. (0, -6) and (0,…

A: 15  y2/9 + x2/36 = 1 compare with x2/a2 + y2/b2 = 1 so a = + 6     b = + 3 so here vertices  (a,0)…

Q: - dx +3x+3 メstx a. 14 マ tan ()"० 3. 6. 9 tam- C.12 tan-l C d. 9 tan tc e- more.

A:

Q: 13. Identify the polar coordinates of the point with the given rectangular (-6, - 63) 47 6, 3 7T 6,…

A: Given rectangular coordinates are (-6,-63) which is (x,y)We know that polar coordinates are in the…

Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

A:

Q: 2. Evaluate the given line integral, (-y, x – y) · dR, where C is the line segment from (2,0) to (0,…

A: Using parametric equation, line integration is evaluated.

Q: Question 8 Let y = tan find the differential dy of the function. O dy = e* (x² – 1) sec² \ e*"-1 dæ…

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And ddxtanx=sec2xddxex=ex…

Q: tan x - dx 2 sec x – tan x 2.

A: Topic:- integration

Q: Find two positive numbers whose product is 2 such that the sum of one number and the square of the…

A: Suppose, we take ?as a negative number having absolute value. Take a pair with the value much more…

Q: Evaluate the limit x2+19x- 48 lim x--3 x2-11x+42 O a. а. 0 b. None of these. С. 13 11 d. 00 е. 13 17

A: Limits

Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: 1. dr COS 2. sin

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

A:

Q: Solve for the general solution using homogeneous

A:

Q: Find an implicit and an explicit solution of the given initial-value problem. dy y – 1 dx x? - 1'…

A:

Q: II. Let f(x, y, z) = z° sin a + Determine 2 dydzərəz'

A: We know, ∂2f∂y∂x=∂∂y∂f∂x

Q: Evaluate the limit In(x) lim x+1 x2 - 19x+ 18 a. 1 19 O b. 19 C. 1 17 O d. None of these. е. —17

A:

Q: 1 X• In( coS lim (* - In(cos )) x00

A: Given

Q: az For each of the following functions z, find and ax 3. уz + xz + ху %3 о

A: Given problem:-