circle passes through the points (2,1) and (-2,3) and its center is on the line 2x＋y＋4=0. Find its equation.

Q: Sketch the solution

A:

Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x 2x+4 3 if − 1 1 (a) To determine whether f is…

A:

Q: Vector-valued functions (VVF) VVF Point P t value (for point A) r(t) = ½t²i + √4 − t j + √t + 1k (0,…

A: The objective of the question is to find the domain of the given vector-valued function, find the…

Q: Find the curve's unit tangent vector. r(t) ti+ k. Osts3 The curve's unit tangent vector is (++ (k.…

A: The given vector valued curve equation is The unit tangent vector given by

Q: Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then. f'(x)…

A:

Q: Evaluate the integral.

A: 1. 34​π​2. 72π2​​Explanation:1. Given:∫3​1​3​​1+x28​dxFirst we need to take out the constant, we…

Q: Find the volume of the solid whose base is the equation x² + y² = 25 (a circle with radius = 5),…

A: The objective of this problem is to find the volume of a solid with a circular base and isosceles…

Q: Find the equation of the tangent line to the function f(x) = In(6x) at x = 6. (Use symbolic notation…

A: f(x)=ln⁡(6x) at x=6f′(x)=ddxln⁡(6x)Using the chain…

Q: The base of a solid is the region in the xy-plane bounded by the curves y = 1- x² and y = 0. Every…

A: Given that the region is bounded by the curve

Q: Find the equation of the tangent plane to the surface x = 6x3 y3+7xy at the point (1,0, 6). z=…

A:

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: •Proper integral: An integral which has neither limit infinite and from which the integrand does not…

Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: 7) Find the derivative of x(x) = (2x+3)³ (2x+3)+2x+4 X + √ 7

A: Given that, we have to find the derivative of y(x).

Q: use the ratio test to determine the convergence or divergence of the series: the sum from n = 0 to n…

A: Given series∑n=0n=∞​(1+n)n3n​  ConvergesExplanation:

Q: 2x+2x+3 Consider the function (a) To use a limit and find its horizontal asymptote what must be done…

A:

Q: f(x, y, z) = xe²yz, P(1, 0, 1), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: Therefore, the required answers are a) "&gt;▽f(x,y,z)=&lt;e2yz,2xze2yz,2xye2yz&gt;b)…

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

A: Du​T(2,4,4)=−116511​​Explanation:Given that T is inversely proportional to the distance from origin.…

Q: Find equations of the following. y = ln(x+2), (0, 0, 1) (a) the tangent plane × (b) the normal line…

A: a)) x-y+z=1b)) x= -t y= tz= 1-tExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Please don't provide handwritten solution ....

A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: Use undetermined coefficients to find the particular solution to y"-3y-10y=4e³t Yp(t) =

A:

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Solve the given symbolic initial value problem. y''+4y' +13y=38(t-л); y(0)=2, y'(0) =2 y(t) = ☐

A: The given differential equation

Q: = 4. Find the linear approximation of the function f(x, y, z) = x² + y²+z2 at (3, 2, 6) and use it…

A:

Q: Σ N 3 | n² 3 2 (n + 1)²

A:

Q: Set up, but do not evaluate the integral that gives the volume of the solid obtained by rotating the…

A:

Q: Solve the following initial value problem for r as a function of t. dr Differential equation: =(2…

A: Given:To find:r(t)

Q: Find the angle of intersection, in radians on the domain 0 <t≤, to two decimal places.

A:

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: solve using partial fraction decomposition

A: ​(x−3)(x−2)x​=x−33​+x−2−2​​Explanation:Step 1:​x2−5x+6x​Using factorization in…

Q: Find the following derivatives by using the product rule and/or the chain rule: (You can use the…

A: As per the Bartleby answering guidelines, answering only first question as the other questions are…

Q: When the cross product between any two vector is zero then these vectors are perpendicular Ignore…

A: Give statement "When the cross product between any two vectors is zero then these vectors are…

Q: 1. Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The two people will be closest after 55 minutes and 23 seconds. And since they both start at noon,…

Q: #8 Find the average rate of change of n(x) = √√x-1 from x = 5 to x = 10. SHOW ALL WORK!

A:

Q: If f'(x)=0 for all *, then a) f(x)=(x) for every x₁ x₂ c) f(x)>(x) for every x₁>x₂ d) f(x)>(x) for…

A: If  then which option is correct .

Q: 7 63 tan (a+b); cosa for a in Quadrant III and sinẞ: for ẞ in Quadrant IV. 25 65 tan (a+B) Find the…

A: tan(α+β)=−162457​Explanation:

Q: Consider the ellipsoid x² + 3y²+2z² = 31.

A: The given ellipsoid equation is

Q: Find the smallest positive value for for which the tangent line to the curve r = 8 = Question Help:…

A:

Q: The diagram below gives part of the graph of function f.. For a0 and |x|<12 Find a and b. Write…

A:

Q: nd the maximum rate of change of f(s, t) = test at the point (0, -3).

A:

Q: Find equations of the following. x² - 2y²+ x² + y = 5, (5,3,-2) (a) the tangent plane (b) the normal…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

Q: Find the following limits xy (a) lim (x,y)→(3,2) x + y

A:

Q: In (x + √√x². Find the first partial derivatives of the function f(x, y) = ln(x+ 1. fx(-3,4)= 2. fx…

A:

Q: When a bowl of hot soup is left in a room, the soup eventually cools down to room temperature. The…

A: 201.6°F113.75°FThe soup cool off more quickly over the next 20 minutes.Explanation:Step 1: Average…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable. 16. dx…

A: 16). I=51​ln∣x+1x−4​∣+C 17).  I=2−3​ln∣2x+1∣+2ln∣x+2∣+CExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of…

A: Newton's Law of Gravitation can be used to show that if an object weight w pounds on the surface of…

Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

A:

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the logical statement (Q and P) →…

Q: The equation r(t)=(12 sin t) i+ (4 cos t) j +(8t) k is the position of a particle in space at time…

A: The equation  is the position in space in time . To find the particle's velocity and acceleration…