u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -6 2 (b) Find the vector component of u orthogonal to v. Viewing Saved Work Revert to Last Response

Q: 5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, d₁= 200 and the assumption that…

A: Given dn+1=0.5dn+200 and dn→L as n→∞. To find L .

Q: Let r(t) = Find 7' (t) 7' (t) =<

A: Please refer to the image below

Q: Compute the gradient vector fields of the following functions: A. f(x, y) = 1x² +10y² Vf(x, y) =i+ j…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 4x √x² - 1 2 s dx

A: Solve the integration

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: A detailed solution is given below

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 6x² and…

A:

Q: ether the following series converges or diverges. In the case of convergence, state whether the…

A:

Q: Complete parts a through c for the function below. f(x) = 3 sin 2x

A:

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

A:

Q: 2 Solve the following ODES by Inverse Operator metha ● 2 (D²+1) y = cos x Ans & Y = C₁ C3 x + C₂…

A:

Q: Use Euler's method to calculate the first three approximations to the given initial value problem…

A:

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A:

Q: Find the general solution of the given higher-order differential equation. y"" - 3y" - 4y = 0 y(x) =

A: Given :y'''-3y''-4y'=0

Q: Use the Comparison Test to determine whether the series converges. n1.2-8 2.3 +8 Identify b, the…

A:

Q: 1. For the following sequence, give an explicit formula for the nth term. 4 9 16 25 36 49 1' 3'9…

A:

Q: Find the curvature of the curve (t) Give your answer to 2 decimal places. = (4t, t², -5t4) at the…

A:

Q: Evaluate Integrals 1 √ ₁ (2 + √5) √5 dy

A:

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and bis- Round your answers to…

A: We have to the value of c

Q: Find the equation of the tangent line to the graph of the function f(x) = (z² + 6) (z − 2) at the…

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: 1 (2+√3)

A:

Q: Describe at least two (2) similarities found in methods of integration and methods of…

A:

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: In 1960, the population of a town was 1414 thousand people. Over the course of the next 50 years,…

A: We need to find out the population in 2020.

Q: Plot the point whose polar coordinates are given: (4, 3π/4). A) B)

A: Given point 4,3π4. Let us plot it in Polar coordinates

Q: The reproduction function for king salmon in a sea is f(p)=p² + 7.5p, where p and f(p) are in…

A:

Q: 1. 2. Use the law of sines and/or law of cosines to solve the following triangle. SHOW ALL WORK! If…

A:

Q: Use the information below to sketch the function. There is a horizontal asymptote at f(x)=1 The…

A:

Q: 1. 2. Required: (D² + 4D + 5)y (D² - 1)y 2 1+ex 50x + 13 e³x

A:

Q: Find the work done by the force field F(x, y, z) = 4xi + 4yj + 6k on a particle that moves along the…

A: Explanation of the answer is as follows

Q: Find the limit, If it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x,y) → (0,0) x²…

A:

Q: z = cos(x² + y²), nd Əz/əu and Əz/av. The variables are restricted to domains on which the functions…

A: Use chair rule.

Q: Given f(6)=3, f′(6)=11, g(6)=−1, and g′(6)=7, find the values of the following (a) (fg)′(6)= (b)…

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A:

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -30x + 120y + 60z…

A:

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4e* - 3 y(x) =

A:

Q: Determine if the following improper integral converges or diverges. If it converges, find its value.…

A:

Q: ASK YOUR TEACHER Find sets of parametric equations and symmetric equations of the line that passes…

A: This question is based on 3-d line equation.

Q: Find an equation in rectangular coordinates for the spherical equation p=2

A:

Q: Rent-A-Reck Incorporated finds that it can rent 60 cars if it charges $40 for a weekend. It…

A:

Q: =valuate the double integral [2aydA, 2xy dA, where D is the triangular region with vertices (0,0),…

A: Given that a double integration and given  D is  triangular region with vertices (0,0) (1,2) and…

Q: A joint density function is given by (a) Find the value of the constant k. k= (b) Find the…

A:

Q: find the limit f(x)= (5-x)/x2-25 a) find the x values at which discountous b) which…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point, take…

Q: Assume the same spring-mass-damper system above (without the impulse forcing function) has the…

A:

Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(4, -1, 1), u = (0, -, -3) - (a) Find the…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: we need to find out the vector vector in same direction and in opposite to the direction of the…

Q: Consider the following second-order differential equation. 6y" + y = 0 Find all the roots of the…

A:

Q: Find the length of the curve r(t) = (cos(3t), sin(3t), 4t) for -6 ≤ t ≤ 5 Give your answer to two…

A:

Q: Solve the following CDES by variation of parameters method y" + 5y' + 4y = x² e ²x Ans:

A: Given :y''+5y'+4y=x2e2x

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: