A triangle is formed by A = (3,3,1), B = (0, 1, 5), and C = (1, -4,-1). a. What are the angles of this triangle? b. Find a vector that is orthogonal to the plane this triangle represents.

Q: 4 -2 -3 -4 1 At the point shown on the function above, which of the following is true? O f'>0 and…

A: To solve the following

Q: (b) Find the two points on the surface x² + y² + 24 = 2 where the tangent plane is parallel to the…

A: The two points on the surface x4+y4+z4=2 where the tangent plane is parallel to the plane x-z=5.

Q: Question 7 3- 2 -5-4-3-2-1 H -2 -3 - 4

A:

Q: A curve with polar equation r = 49 3 sin 0+19 cos 0 represents a line. This line has a Cartesian…

A: To find out the cartesian equation of the given polar equation.

Q: Consider the following system of linear equations. -5x+20y=-40 -9x+40y=-80 Solve the system by…

A:

Q: *P₁² (1+h) = Rph (1+₁2) (1)

A:

Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

A:

Q: The cost C'(x), where x is the number of miles driven, of renting a car for a day is $53 plus $0.65…

A: Given: The cost C(x), where x is the number of miles driven, of renting a car for a day is $53 plus…

Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

A:

Q: Determine a definite integral that represents the area of the region endosed by -b da

A:

Q: 16.3 #8

A:

Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: Given F( x , y ) = ( y - cosy , xsiny )  Green's Theorem  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy…

Q: (a) (b) 160 001 6 000 0 100 010 1 3 001-4 The system has no solution. O The system has a unique…

A: (a).The given augmented matrix is:160|1001|6000|0

Q: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

A:

Q: (3 pts) A window has the shape of a rectangle surmounted by a semi-circle. Find the dimensions that…

A:

Q: Ex. 3 Stomer -2 f(x) dx where f(x) = 2 6-x² if -2≤x≤0 if 0≤x≤3

A:

Q: PROBLEM NUMBER 1 Evaluate √²-7√³+17 2¹ dr. 10

A: let,   P=∫(x7-7x56+17x103)dxwe know that,  ba=(b)1a

Q: Given parametric equations and parameter interval for the motion of a particle in the xy-plane…

A:

Q: Consider F and C below.

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

Q: x = -3 sec (t), y = 3 tan (t), 4- 2 <t< 2

A: We know that the formula sec^2(t)-tan^2(t)=1

Q: Let R be the region bounded by y=4−x2 and the x-axis where 0≤x≤2.   a) Use the method of disks to…

A: The region R bounded by y=4-x2 and the x axis where 0≤x≤2 Graph

Q: Use Green's Theorem to evaluate S F. dr. (Check the orientation of the curve before applying the…

A: The given vector field is: Fx, y=y-cos(y), x sin(y)Now path is:  C:  (x-5)2+(y-4)2=4

Q: Given the vector →u=⟨6,5⟩, find the magnitude and angle in which the vector points (measured…

A:

Q: Find the function s(t) satisfying ds dt = 2-5 cost and s(0) = 4.

A: We have to solve the given differential equation

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Here given function is f(x)=5-4x-3x2;[-5,4]

Q: 5. Evaluate [[ (x² + y²)³dzdy where is the region enclosed by the cardioid r = 1 + cos(0)

A: given,  ∬(x2+y2)2dxdy  =∫02π∫01+cosθ(r2)2.rdrdθ=∫02π∫01+cosθr5.drdθ =∫02πr6601+cosθdθ…

Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 7 2 1…

A:

Q: Find the solution to the initial value problem, apply initial canditions. Y"+ 2y' -8y=0; YO) =…

A:

Q: Evaluate x² I VID √16 - x² dx.

A:

Q: Use implicit differentiation to find dy dx x5 + = y = 30xy dy dx

A:

Q: Find the indefinite integral. / (x₁ (x¹ - 9x)² (4x³ - 9) dx + C

A:

Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). . u = (5,-8, 8), v = (-6, -1, 2) (a) u v (b) (c) (d) (e)…

A: according to bartleby guide line we do only first three parts of multiparts questions   (1)  given,…

Q: Use the Fundamental Theorem of Calculus Part I to evaluate dx Jx5 sin(t)dt

A:

Q: Complete the following steps to find an equation of the tangent plane to the surface z = at the…

A:

Q: What is the exact answer?

A: ∫466xx+1dx

Q: Evaluate the integral using integration by parts with the given choices of u and dv. (Use C for the…

A: let,   H=∫xcos(3x)dxgiven,  u=x  and  v=cos(3x)dx

Q: Use cylindrical coordinates to find the volume of the solid. Solid inside x² + y² + z² = 16 and…

A:

Q: 0.9t t² + 50 the concentration is at a maximum. Give your answer accurate to at least 2 decimal…

A: The concentration of a drug t hours being injected is given bu Ct=0.9tt2+50

Q: Consider the given vector field. F(x, y, z) = x²yz i + xy²z j + xyz² k (a) Find the curl of the…

A: The expression of the curl of the vector field F=F1i+F2j+F3k is: curl F=∇×F=ijk∂∂x∂∂y∂∂zF1F2F3 The…

Q: 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A:

Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

A: cos2π5cosπ3+sin2π5sinπ3

Q: 1. r = √/20, 0 ≤0<π/2

A: Find the area of region that is bounded by given curve.

Q: Find the volume of the region bounded above by the paraboloid z = 2x² + 4y² and below by the square…

A:

Q: 5. C r² = sin 20

A:

Q: Set up the definite integral that gives the area of the region. Y₁ = (x - 1)³ Y2 Y₂ = x - 1 1 6²[ S…

A: Area of the between two curves

Q: If sinh x = 39 find cosh x, tanh x, coth x, sech x, and csch x. 80 39 80 (Type a simplified…

A:

Q: Use the Shell Method to find the volume of a solid obtained by rotating the region B about the x b y…

A: NOTE: Refresh your page if you can't see any equations. . here we have the given interval of x is…

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: