Find the a. v. u, |v|, |u| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proju following for the vectors v = 6i- 4k and u = a. v. a. v u = $ (Type an exact answer, using radicals as needed.)

Q: Find the exact value of the expression, be sure to justify your answers. tan sin -¹ (/)

A: Given

Q: I needed help with both parts. specially part b.

A:

Q: Use sigma notation to write the sum. 22 [(²-) - ²] (²) + ··· + [(²²) * - ²](²) [(7)-(%) 1 Σ

A: A detailed solution is given below,

Q: A survey of 255 adults found that during the last year, 60 traveled by plane but not by train, 60…

A: We are required to find how many adults did not travel by any of these modes of transport

Q: I do not understand your writing, and can you explane it any more?

A:

Q: Find the area of the region bounded by y = 17/ (81 - x²) and y = 1.

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: Find the limits as x→ ∞ and as x → -∞0. y = f(x) = 4x³ x4 lim f(x) = X→∞0 lim f(x) = X→-∞

A: Find limit

Q: lim 4 sin 3t 3t -i- 3t 3³¹-31-1j+ −j+ 2t e cos t

A:

Q: How much work is required to move an object from x = 1 to x = 6 (measured in meters) in the presence…

A:

Q: (3x-y + 1) dx- (9x-3y-3) dy = 0

A: Given differential equation:- (3x-y+1)dx-(9x-3y-3)dy=0

Q: The number of bacteria in a culture is modeled by where t is in hours. (a) The initial number of…

A: The number of bacteria in a culture is modeled by nt=1750e0.39t. We have to find the required…

Q: F(x)=x²-5 (F-f)(x)=

A:

Q: Use the function to find the image of v and the preimage of w. - (1/2 √₂-√/2 √2, V₂ + T(V₁, V₂) =…

A: The given function, Tv1, v2=22v1-22v2, v1+v2, 2v1-v2. We have to find the image of 9, 9 and the…

Q: 4x²-6x+6 2x-1 3. §. dx

A: Topic = Integration Correct answer ∫4x2-6x+62x-1dx =x2-2x+2ln|2x-1|+C

Q: Prove the following identity by working only on the left side of the equation.  (sinx)(cotx +…

A: We can prove the given statement in the below steps using the appropriate formula.

Q: 5. (a) Find the values of X₁ and x₂ in the figure. (b) Find the largest positive number & such that:…

A: see below the answer and explanation

Q: 5. S 6. S 7. S dx xintx sec²ydy tan ¹5 y (x³-5x)dx VX

A:

Q: Solve the separable differential equation dy t dt t²y+y Use the following initial condition: y(0) =…

A:

Q: Find the volume of the solid that has a circular disk of radius r as a base and parallel…

A:

Q: Suppose a company has fixed costs of $36,000 and variable cost per unit of +222 dollars, where x is…

A: Given that fixed cost is $36000 and variable cost is 13x+222 dollar per unit.And selling price per…

Q: Find each x-value at which fis discontinuous and for each x-value, determine whether f is continuous…

A:

Q: (1+Inx) dx +(1+Iny) dy = 0 when y(-2) = -1.

A:

Q: Qu Solve the following ordinary differential equations:

A: dydx+1xy=xy3divide y3  both sides 1y3dydx+1x×1y2=x

Q: Find the equation for the plane through the points Po(2,3,5), Qo(-2,5,-4), and Ro (3,1,1). *** Using…

A:

Q: 4. lim a-2+ a+1 a²-4 1-²) 6-a² a4

A: Here we have to find the limit of a function.

Q: 1.001 -1.01 101 -1.1 41.51 3 steuleve, ils 101 $+$-2 (s) 2 limit and justify each step by indicating…

A:

Q: lim (4 - |x|) / (4+x) x—> -4

A:

Q: Find a formula for f-¹(x) if f(x) = 1, ≥ 0. 5 x²+1,x

A: To find a formula for f-1x if fx=5x2+1, x≥0.

Q: The vector v = ai + bj is perpendicular to the line ax + by = c. Use this fact to find an equation…

A: Given that , Vector : v=3i^+7j^ Find the equation of line through point P7,3 perpendicular to v.

Q: The (blue) graph of an invertible function, f(x), is given. Drag the (green) points from the top…

A: We need to find the inverse function of the function.

Q: 4. lim_ x² (1 - e¹/²) using l'hopital

A:

Q: 2 A nurse practitioner prepares an injection of promethazine, an antihistamine used to treat…

A: Given query is to find the amount of mm solution required.

Q: sec²x. - y X |dx +N(x,y) dy=0 dx

A:

Q: Find the angle between the vectors u = √2i -5j and v= √√2i+j-2k. The angle between the vectors is 0…

A:

Q: World population¹ is about P = 7.68(1.0103)', with P in billions and t in years since 2020. (a) What…

A: Let's solve given population problem.

Q: The owner of a skating rink rents the rink for parties at $1200 if 60 or fewer skaters attend, so…

A:

Q: fFnd the derivative of: g(x) = 3cos^6(18x^4)

A:

Q: 2 tan 0 1+tan²0 An identity shows that sin 20 One way of proving this identity is by 2 tan 0 sec²0…

A:

Q: Find the vectors whose lengths and directions are given. Try to do the calculations without writing.…

A: Note : As per rule I need to solve only first three subparts.

Q: A particle is traveling on a curve in outer space in such a way that its = 2, however, position at…

A:

Q: Calculate the integral, assuming that f(x) dx = 2 and g(x) dx = 15. (Give your answer as a whole or…

A: Given ∫05f( x )dx = 2 ∫05g( x )dx = 15

Q: Find the arclength of y = 4x² +5 on 0≤x≤1 Question Help: Post to forum Submit Question

A:

Q: Find the zeros of the polynomial​ function, and state the multiplicity of each.…

A: We need to find zeroes.

Q: Find the limit. (If an answer does not exist, enter DNE.) x² - 6x + 8 X-4 lim X→ 4

A: To evaluate the following limit. limx→4 x2-6x+8x-4

Q: f(g(x)) = g(f(x)) =

A:

Q: The graph of y = f(x) is shown. 10 == -2 has solution 9 8 10-9-8-7 -6 -5 -4 -3 -2 -1 + 6 5 4 3 2 1…

A: A detailed solution is given below.

Q: H. JJ HY BY 4.6 where y(0)=0 y'co)=2

A: Given differential equation is y''+4y'+3y=4e-x with y(0)=0 and y'(0)=2We know the formula that PI of…

Q: (1+t)²-1 t b. lim. t-0 =(t+1)

A: Topic - Limits We are given b.)limt→0(1+t)2-1twe know that(a+b)2=a2+b2+2ab

Q: CO: a) Find values for the parameters a and Po. Round your answer for Po to three decimal places.…

A: We are asked find the value parameters a and p0