4. Which of the following is the vector projection of (1,0, 1) onto (-2, 4, 0)? 2 B. (-1,2,0) c. (-1,2,0) A.

Q: The volume of a right circular cone of radius x and height y is given by V volume of the cone is 247…

A: To find dydx

Q: Find ▼ · (V × F) if F(x, y, z) = sin xi + 7 cos(9x - 10y)j + 5zk.

A:

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: Given vector valued function:- rt=13t+1i+1tj Determine the interval(s) on which the given…

Q: the open interval on which the function is increasing or decreasing. (Enter your answers using…

A: Topic:- function and application of derivatives

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A:

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A:

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A: Given the query is to find the number of each type of tickets sold.

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A: We have to find the general solution of differential equation

Q: . Which of the following is an orthogonal pair of vectors? A. (1, 0, 1) and (1,1,0) B. (1, 1, 0) and…

A: The vectors a and b are said to be orthogonal vectors if their dot product is 0.

Q: Give the Particular Solution of the following Differenti d²y dy dx2 +2. dx IBC: y(0) = 2 y'(0) = -2…

A: Topic:- differential equations

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.)…

A: O

Q: Find the rate of change of f(x) = (Use symbolic notation and fractions where needed.) (a) c = 0…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider the following function. f(x)=√x-4, x> 4 What is the domain of f? (Enter your answer using…

A:

Q: Solve the initial value problem y" + 8y' + 16y = 0, y(-1) = 3, y'(-1) = 6. y(t) = = e -4t -4t + xe X

A:

Q: DETAILS ZILLDIFFEQMODAP11 4.1.002. The given family of functions is the general solution of the…

A:

Q: Find the solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

Q: Find Vy where = (x² + y² + z²) e¯¯ √√√x² + y² + z ²

A: Given :ψ=x2+y2+z2e-x2+y2+z2

Q: Question Find the equation of the tangent line to the curve defined by the equations * = exact…

A: Here we have to find the equation of tangent line.

Q: Calculus Question

A: Given data:- From the above figure we can observe that, C'D'=4 unitsA'B'≈1.3 unitsCD=12 unitsAB=5…

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(1-²y)¹/2 dx = dy

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1 (e⁹ti + sin(6t)j + e-7tk…

A: To find, limt→0e9ti+sin(6t)6tj+e-7tk

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: The solution is given below

Q: Find the limit. lim (t i − 4 j + t² k) : = t→8 i i+ i lim (t i 4 j + t² k) t→8 j+ i

A: Given query is to find indicated limit.

Q: Find the solution to the differential equation dy/dx + y^2sin(x) = 0 which satisfies y(0) = −1.

A:

Q: Sketch the plane curve. r(t) = 2ti-tj, [0, 2] y 2 1 -1 y 2 1 Find its length over the given…

A:

Q: dx 2x+y

A:

Q: Consider the following. x = sin(10), y = cos(0). (a) Eliminate the parameter to find a Cartesian…

A: Given problem:- x=sin(θ/2) , y=cos(θ/2) , -π≤θ≤ π  Eliminate parameter and find Cartesian equation…

Q: An infinite series [x_n converges if the sequence (S_n) of partial sums given by S_n=x_1+x_2+...+x_n…

A:

Q: Find the AREA of the region bounded by: y = √√√x+2, y=x, and the x A. B. C. D. 37 6 19 6 10 3 16 3 F…

A: Topic = Area

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_(ti + sin(t)j +…

A:

Q: The function f(x)=x^{2/3} does not satisfy the conditions of the Mean Value Theorem on [-8,8]…

A: To find out the correct option.

Q: Sketch the region described given y=ln(2x), the x-axis, and the line x=e b.) Set up the integral to…

A: Given problem:- a.) Sketch the region described given y=ln(2x), the x-axis, and the line x=e b.) Set…

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A:

Q: dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10 ft above the…

A:

Q: Imagine that you work as a designer in a company that designs baby bottles. Your mission is to…

A:

Q: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

A: To find the derivative of given function.

Q: Find a differential equation whose general solution is y = C₁e6t + c₂e-4t y" - 2 y' - 24 = 0 X

A: The solution of the DE is: y=c1e6t+c2e-4t where the solutions to the auxiliary equation are 6 &…

Q: 5- The table below shows the speed-time change of an athlete in a 20-minute running period. The…

A: Given, I=∫020v.dt The Simpson Method and the Trapezoidal Rule are used to complete the integration.…

Q: or Questions 1-3, use the differential equation given by 1. Complete the table of values -1 X y dy…

A: Put value in function

Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y = e sin(t), z =…

A: Basic calculation of vector is required

Q: If Nx - My M equation = Q, where is a function of y only, then the diffe has an integrating factor…

A:

Q: [ª* z² cos(4x) dx =

A: We will  integrate the expression.

Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = | Need Help? Read It

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Q: A car rental agency rents 210 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Topic- Application of derivatives

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

A:

Q: Find div F and curl F if F(x, y, z) = 10y³zºi – 8x³z¹ºj – 5xy³k. div F= curl F=

A:

Q: units

A: