Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (7, -4) and half the length of v. w = (?,?) (b) Length v2 and same direction as v = (3,0, –1). (?, ?,?) W =

Q: Show that the lines L1 : x = 5 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (– 10,…

A:

Q: (b) (–1, 1, –V2)

A:

Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

A:

Q: Find the directional derivative of f(x, y) at P(5,0) in the %3D x + y direction of Q(3, –3). NOTE:…

A: f(x,y)=20x+y

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We are given a function  f(x) = e-x sin(x) -e7x cos(x)  We have to find a linear differential…

Q: Use the chain rule to find dy/dx for th following (a) y= (3x^2 - 13)^3

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2,…

A:

Q: X Your answer is incorrect. Find an equation of the plane that passes through the points (-2, 1, 1),…

A:

Q: MY NOTES ASK YOUR TEACHER Consider the following functions. f,(x) = 4, f,(x) = cos2(x), f,(x) =…

A: Let's find.

Q: -7 5. s(s+)

A: On solving this we will get

Q: Find the vector component of v = 2i - j+ 3k along b = 2i + 4j + 4k and the vector component of v…

A:

Q: -1 Cos'x 4. | X. dx 1-x* 2 dx 3 (x² + 2 + 2x + 2)2 5.

A: 4). Given: I=∫cos-1x1-x2dx    ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 E…

A:

Q: An open top box with a square base is designed to contain 2000 cm³ of volume. If we let z denote the…

A: An open top box with a square base is designed to contain 2000 cm3 of volume. If we let x denote the…

Q: The profit function for a product is given by P(x) = - x +5x +400x – 1600, where x is the number of…

A:

Q: 1 Integrate: S tan*÷x dx 3

A:

Q: e following: (x) = 2 + x – x², [a,b] = [0,3], p = 1 %3D he two conditions of the IVT are satisfied.

A:

Q: "he velocity function, in feet per second, is given for a particle moving along a straight line.…

A:

Q: Explain why S is not a basis for M, O sis inearly dependent. O s does not span M.2 O sis linearly…

A: We can solve this as follows:

Q: Calculate the area of the circle r=18sinθ as an integral in polar coordinates. I have this…

A:

Q: Consider the function f (x) = -4x2 + 8x - 1. %3D Step 2 of 2: Interpret the meaning of f '(-9) = 80.…

A:

Q: 8. Ssin(1 – Int)dt

A:

Q: Vcos² x*(x-1)³ (x+Vx)² 3. y = 2 Differentiate using Logarithmic Differentiation

A: y=cos2x43x-13x+x2

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: Here, De can be written as: y''+14x2y=0⇒P(x)=0, y1=x12ln(x)

Q: Find Duf at P. 3 4 f (x, y) = sin(3x – 4y); P(4,3); u = i j %3D - - NOTE: Enter the exact answer.…

A:

Q: find the parametric equations of the line through (-3,0,2) that is parallel to 3i-4j+k. x(t)= y(t)=…

A:

Q: Show that the lines L1 : x = 4 – t, y= 2t, z = 5+t and L2 : x = 1+4t, y= 3 – 8t, z= 5 – 4t are…

A: Let's find.

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) 14/3 lim + 7t/3 (3123 + 13)²

A: Given query is to find the value of the limit.

Q: Instructions: (1) Use Limit Laws to find the limit of each given problem. (II) You may only use…

A:

Q: (x²–2x)° 2. у %3 x2 Differentiate using Logarithmic Differentiation

A:

Q: We're building another box! This box is to be constructed with a total volume of 160 cm3, but the…

A: Given that the volume of the box is: V=lbh=160⇒lbh=160⇒h=160lb...(1)

Q: 1. At which point on the graph of y = e" will there be a tangent line with slope m = 6? (a) at the…

A:

Q: Find the slope of f (x) = 2x2 – 5x + 6 at (3, 9). Use a graphing utility and round to the nearest…

A:

Q: Find the radius of convergence, R, of the series. Σ (x – 9)^ n=1 R%= Find the interval, I, of…

A:

Q: Evaluate the indefinite integral: (In æ)5 dx +C %3D

A:

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

A:

Q: Find the distance between the parallel planes – 2x + y + z = 0 and бх — Зу — 32 -13 — 0. %3D

A:

Q: Find the vector component of v = 2i - j+ 3k along b = 6i + 6j + 7k and the vector component of v…

A:

Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(r) on the interval 37 and find…

A: Given query is to find the value that setisfy the mean value theorem.

Q: Find all real numbers x that satisfy the following equation. 4x ( 1/2 )9x  =  8

A:

Q: y = Vx, x = 0 , y = 2 , revolved at y axis

A:

Q: Given .5 8 | f(=)dz = /f(2)dz + f(2)da – | f(a)da, -6 6 what are the limits of integration a and b?…

A:

Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

A: Solution: y2 = x2  y=x32 y'=32x12

Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 12у — 9г — 3 %3D 0 (a)…

A:

Q: Find the particular solution of the differential equation with the initial condition given below.…

A:

Q: Consider the points A(3, –3, 2), B(4,–5,0), C(-1, –4,0), and D(6, 2, –3). (a) Find the volume of the…

A: AB→ = i -2j-2kAC→ = -4i-j-2kAD→ = 3i+5j-5k Volume of parallelepiped with AB→, AC→ ,AD→ as adjacent…

Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

A:

Q: Pls show the complete solution, thank you very

A:

Q: Write the standard basis for the vector space using x. (Enter your answers as a comma-separated…

A: