Let be the angle between u and v. -=[ 3 ]- ~= [ ²-1²] U= Find cos(8). (Round your answer to four decimal places.) cos(8) = Determine whether the angle between u and v is acute, obtuse, or a right angle. O acute obtuse O right angle

Q: The relationship between rectangular coordinates (x, y) and polar coordinates [r, 0] can be…

A: According to question,Given equations,x = r cos θ,y = r sin θ,r = x2 + y2tan θ = yx

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A:

Q: 1. Determine an equation in factored form for the polynomial function represented by the graph. ✓✓…

A: We have given graph of the function  From given graph  Zeros : -2,0 x=-2 (multiplicity 2) x=0…

Q: At the beginning of the year 1995, the population of Townsville was 3819. By the beginning of the…

A: Let t = 0 , population ( P ) = 3819 t = 19 , population ( P ) = 4740

Q: if x 7 Show that f(x) has a jump discontinuity at 7 by calculating the limits from the left and…

A:

Q: Current Attempt in Progress Is there a difference between In [In (x)] and In² (x)? (Note: In² (x) is…

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: Reputable scientists know that the average surface temperature of the world has been rising…

A: Given :T=0.02t+15.0

Q: g._ƒ(x)=(1-3x)²(x²−2)³

A: Here we use the chain rule to find the derivative of f(x). We have f(x) = (1- 3x)2 (x2-2)3 now f'(x)…

Q: Find the length of the curve -0 Arc length= x = -√(y – 3), √y(y-3), 1<y≤9.

A:

Q: Find the angle between the vectors a = ⟨1,0,1⟩ and b = ⟨1,−1,0⟩

A:

Q: In each of Problems 1 through 4, determine the order of the given differential equation; also state…

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

Q: Assume that a population was 796 when t=0, and 6 years later it became 2117. Assuming the population…

A:

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3) The region…

A: Given vertices of the triangle ( 0 , 0 ) , ( 5 , 0 ) &amp; ( 5 , 2 )

Q: Find a vector that is orthogonal to the plane containing the points p(3,1,1) ,Q (4,-2,1) , and R(…

A: The points are given as , P3,1,1 , Q4,-2,1 , R5,2,-1 Find a vector that is orthogonal to the plane…

Q: The electric charge q (in C) passing a given point in a circuit is given by q = t sec √0.2t² +1,…

A:

Q: Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line…

A:

Q: Consider the equation below. 16x² + y² + 16z² - 8y - 160z + 400 = 0 Reduce the equation to one of…

A:

Q: Use the chain rule to find dz dt = Z = х- у x + 6y dz dt x = ent y = ent

A: Given z = x - yx + 6y x = eπty = e-πt

Q: 3. Show algebraically that lim √²- -2x = 0. 30-00

A: The given limit is limx→∞x2-2-x We have to find the limit value. Note : If multiple question given…

Q: Replace the polar equation r=4 sec 0 with an equivalent Cartesian equation. Then identify the graph.…

A:

Q: Some of these are combinations and some aren’t exactly. You don’t need to find the answer, you just…

A:

Q: At the beginning of the year 1995, the population of Townsville was 3146. By the beginning of the…

A:

Q: lim 5+√√x √5+x

A:

Q: 7. Given f(x)=√x² + 3, determine p(x), q(x), and r(x) such that f(x) = p(q(r(x))). ✓✓

A: We have given function  fx=x2+3 fx=p(qrx) So,  px=x qx=x+3 rx=x2

Q: On what domain is the function f(x) = - 8x - 7 continuous?

A:

Q: Find parametric equations for the line through the point Po(5,4,-7) that is parallel to the line…

A:

Q: 3. Let f(x)=x²-1. (a) (b) f(1+h)-f(1) h Simplify the expression Use part (a) to calculate the slope…

A:

Q: he LU decomposition of a matrix A is given as follows: L=[[1,0,0],[-2,1,0],[-3,1,1]] and…

A: Given; L=[[1,0,0],[-2,1,0],[-3,1,1]] and U=[[1,4,3],[0,2,6],[0,0,3]] .

Q: Use the graph of f(x) to evaluate the following: -1 4 3 2 1 -1 The average rate of change of f from…

A:

Q: Find the distance between the skew lines with parametric equations x=3+t, y=2+6t, z=2t, and x=2+25,…

A: Given lines equations:- L1: x=3+t,y=2+6t,z=2tL2: x=2+2s,y=4+14s,z=-2+5s

Q: X Let f(x) = e 9 and g(x) = e. Consider the following actions: (a) reflecting the graph of g(x) in…

A:

Q: Suppose that u × v = ⟨1,0,4⟩. Find (2u−3v) × v.

A:

Q: Solve for x using logs. Round your answer to two decimal places. x = i I 8x = ex+4

A:

Q: Create two possible cubic inequalities that has the solution: x < -4 and <x<6.

A: Given inequalities:- x&lt;-4,12&lt;x&lt;6

Q: X 6. Compute the derivative of 21. x²+1° O zx O O x²+1 1-x² (x²+1)² O=1+x² x² +1 ONone of these

A: To find the derivative of given function

Q: Determine the order of the following matrix:…

A: If a matrix is of order m×n then the matrix has m rows and n columns.

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A:

Q: Use your calculator to find the inverse matrix for Matrix C. Use exact values (integers or…

A:

Q: Use a graph of for some other method to determine what, if any, value to assign to f(a) to make f…

A:

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

A:

Q: 29. 0-2 1 3 5 ] [ 4 -7 -1 6 1 4 -7 0-2 5 3-1 6

A: 29) let A = 0-2514-73-16B = 14-70-253-16

Q: While in home quarantine due to COVID-19, you decided to grow a certain shrub in your backyard.…

A:

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

A: To find the general solution. D3-14D+8y=0

Q: (a) Evaluate: i) sin (b) Simplify the expression sin 7T ii) cos COS 5T cos(2 sin (3x)) + 3log (182²)…

A:

Q: 1²-1 3.1² lim f(x) 878 ≤ f(x) < 3x³+x+2 x3

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

Q: 3. Evaluate the limit lim 0 20 –sin r x² The limit does not exist

A: To find the limit of the given function.

Q: Let a₁ = 1 4H 4 - 1 - 6 - 17 3 and b = 3 - 16 h For what value(s) of h is b in the plane spanned by…

A:

Q: A line passes through the points P(-9,7, -7) and Q(10, -5, - 10). Find the standard parametric…

A:

Q: Sp -8 8 et (3 + ex) 2 dx

A:

Q: Find the equation of the lime passes through (2,3) and // ar ] to the lan 2X-6Y=5 I

A: Since you have asked multiple question, we will solve the first question for you. If you want any…