Given the points X (1,2,-1) and Y (0,3,-2), find a vector collinear with XY having opposite direction and a magnitude of 5. Express each component in decimal form, rounded correctly to two decimal places. Ax-component A 2-component Ay-component

Q: C 2. Determine à b, if |a| = 5 and |b| . = 17 ! 1 F1 Q a 30° F2 b W #3 3 80 F3 E St 4 000 000 F4 R %…

A:

Q: Use the laws of logarithms to expand and simplify the expression. ln (x(x + 5)(x + 6))

A: Given

Q: Let f be the function defined as follows. y = f(x) = √5x + 2 V (a) Find the differential of f. dy =…

A:

Q: 1) Verify that the function z = ln(e + e") is a solution of the partial differential quation 8²z8z…

A:

Q: Define the linear transformation 7 by T(x) = Ax. Find ker(7), nullity(7), range(7), and rank(T). = […

A: T =  9 9 9 -9   Rank(T) + Nullity(T) = N = 2

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 500 yd…

A:

Q: Gonzalez Manufacturing borrowed $30000. Part of the money was borrowed at 10%, part at 12%, and part…

A: Let the money borrowed at 10 % = x Let the money borrowed at 12 % = y Let the money borrowed at 14 %…

Q: 1 [3] 0

A:

Q: Use the laws of logarithms to expand and simplify the expression. ln (e^x/(1 + e^x))

A:

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A: According to question, Given information, We have given the cost of east and west sides fencing is…

Q: Next Find the volume of the solid bounded by the paraboloids z = −6+3x² + 3y² and z = 7 - 2x² – 2y²

A:

Q: ∞ 3" Σ n=12" + n

A:

Q: Q1:What is the limit of Riemann Sums as the number of rectangles (N) increases toward infinity?

A: Solution: As the number of rectangles (N) in a Riemann sum increases toward infinity, the…

Q: I need to obtain the derivative of this equation f(x)=sin(e3x)

A:

Q: 1 (Q5.) If y = is a one-parameter family of solutions of the first-order DE (1+c₁e-2) y = y-y². Find…

A:

Q: Write an iterated integral for R bounded by y = 5√√x, y = 0, and x = 32 using a. vertical…

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x²-x-In(x) (a) Find the…

A:

Q: Find the parametric equation of the line through (1, 0, -2) and parallel to the line ⅓ (x – 4) = ½…

A:

Q: Exercises In Exercises 1-8, find a point c satisfying the conclusion of the MVT for the given…

A: As we know from the Mean value theorem: If the function fx is real-valued function is defined on a,b…

Q: Given x + y + z = 2 and Po(0,0,2), find the following. (a) Find the equation for the tangent plane…

A:

Q: Solve the following system of equations. 9x - y + z = 10 4x+2y-3z= -25 x-3y + 2z=25 Select the…

A:

Q: Jump to level 1 Order the functions by growth rate. a(x) = 9ª + 9x c(x) = x log₂ (x) +20x! Select…

A: Please see the below picture for detailed solution.

Q: In 58, find the critical points and the intervals on which the function is increasing or decreasing.…

A:

Q: evaluate to dx dx integral 540

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 7xeox dx 6x [7xe 7…

A:

Q: Use the definitions listed in Section 6.1.2 with f(x, y, z) = x² + yz, F(x, y, z) = (xy, yz, xz),…

A:

Q: Find the area of the region contained inside the unit circle {x² + y² = 1} and outside the rose…

A:

Q: A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20°F. The…

A: Given that , Constant temperature T0=20°F Initial temperature of liquid = 160°F How much longer will…

Q: Find the linear function with the following properties. Answer f(x) = f(0) = -6 Slope off = -4…

A:

Q: 1 Let C = 0 1 a) Find C-1 b) Use C¹ to solve the following system. 1 x + 3y 30 14 - 1 2 = 7 y + 4z =…

A:

Q: Find L x²dA where R = {(x, y) | R {(x, y) | 9x² + 25y² ≤ 225}

A: We have to evaluate the double integral.

Q: A function fis given. f(x)=x²-1 (a) Sketch the graph of f. -10 - 10 -10 -10 -5 (c) Find -1 f-¹(x) =…

A:

Q: 5 Given that f(x)=x²-x² - 2x + 1, find the coordinates of all the points where f(x) has a horizontal…

A:

Q: An object is traveling in a straight line. Shown in the diagram is the graph of its speed as a…

A: The given data is:   Estimate the total distance the object traveled between t=0 and t=6

Q: dy Compute if dx y = = (e²+7³) cosh5 (ln x) (π + e)e²+ cot-¹(5x²)

A:

Q: Solve the system of equations by using the inverse of the coefficient matrix of the equivalent…

A:

Q: (a) x = 2 cos 0 y = 2 sin 0 (c) x = √√t y = √√√√4=t (b) x = √√√4t² - 1/|t| y = 1/t (d) x = √4e²t y =…

A:

Q: Evaluate the triple integral. 4x² dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1,…

A:

Q: Find the distance between the skew lines: x=6+6t, y=4+7t, x = 5-t, y = 8, NOTE: Enter the exact…

A:

Q: Write the equation of the tangent line to f(x) at point (2,8). B. Write an expression for f(x) in…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Find the area of the shaded region. y 15 10 5 2 y=7x-x² y = 2x 4 (5, 10) 6 Co 8 X

A: Area between the two curves f(x) and g(x) can be calculated using theformula:Area=∫abf(x)-g(x)dx

Q: If g(x) = 시일이었 2 +6 find lim q(x). x→0+

A:

Q: . Determine whether the Mean Value Theorem applies to the function f(x) = sin x on the interval 0,…

A: Condition for mean value Theorem:-1) function continuous on interval a,b2) function differentiable…

Q: tank is full of water. Find the work W required to pump the water out o T 1 m Ť 4 m 12 m 4 m

A: The volume of the water of thickness '∆x' at height of x from the bottom.  In △CGB & △CFEFE∥GB.…

Q: if cos(x)=7/sqrt85 with 3pi/2<x<2pi what are: sin(x) sex(x) csc(x)

A:

Q: Give an example of a:) two independent events and b.) two dependent events.

A: Event: An event refers to a specific outcome or occurrence that can happen in a particular situation…

Q: dx 3 Assume that x = x(t) and y = y(t). Let y = x³ +3 and=5 when x = 1. dt dy Find when x = 1. dt dy…

A:

Q: Find A-1 1 1 1 A 3 2 -1 31 0 or explain why it does not exist. Select the correct choice below and…

A:

Q: A graph of a function f is given. Determine whether f is one-to-one. O Yes, f is one-to-one. O No, f…

A:

Q: Use the model to estimate the monthly inflation rate in January 2007 (t = 1).  Recall that the…

A: