Find the center (h,k) and radius r of the circle with the given equation x^2+2x+1+y^2-6y+9=16

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A:

Q: 8. Sophie told her friend Jesse that he needed to know for the calculus test that the derivative of…

A: Sophia told her friend Jesse that he need to know for the calculus test that the derivative of a…

Q: Find the domain of y = log(4 + 6x). The domain is:

A: Finding domain of logarithmic function

Q: dw dt Problem #5: Let w = 5x² + 2y², where x(t) = −3+2t and y(t) = 4t - 1. Use the Chain Rule to…

A: Given  where

Q: Let S denote the region bounded by y = 4x −x^2 and the x-axis. Draw the region S, and find the volume…

A: The region bounded by the curve  and the x axis

Q: 13. Sketch the following polynomials. (a) y = (x - 2)²(x + 4) (b) y=(x-1)(x + 1)² (c) y =(x-4)(x -…

A: First make a table to find the values of y for some sample values of xplot those points on the xy…

Q: 15. Factor the following polynomials completely over the real numbers. (a) r³ - 3x + 2 (b) 21³-1²-2r…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…

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

A: t = 3.745 daysExplanation:We are given a function:P(t) = 100/1+20e-0..8t Inflection point can be…

Q: Question 3 Consider the curve which is the graph of the equation x³ + y³ - 3xy = 0. Graph this curve…

A: In this question, we will find the implicit derivative.If the tangent to a curve at x=a is…

Q: a. lxldx b. (1+x1) dx

A: To sketch the graph of the integrand function and by using it to evaluate the integral.

Q: 1. Find the acute angle between the two curves at th 1- r=1+sine 2. r= 1 + cos 8. 2. Evaluate e dx.…

A:

Q: Evaluate the following integral using trigonometric substitution.. 9 S 8 dx x²√64x²-81 2 dx…

A:

Q: 12. Given the point (2, 3) on a tangent line to the curve f (x) = x² + 3x - 4 find the point(s)…

A:

Q: In a survey of 270 college students, it is found that 64 like brussels sprouts, 94 like broccoli, 58…

A:

Q: Use the Divergence Theorem to calculate the surface integral F(x, y, z) = 3xy²i + xe²j + z³k, S is…

A:

Q: an = 1-n3 70-4n²

A: For the sequence given below, to determine whether it converges or diverges. If it converges,then to…

Q: Consider the function given by ff(x) dx. Select one: O a. (3,5) O b. (-4,4) O c. [-4,4] O d. (0,5)…

A: we need to find out the interval of convergence.

Q: Use Gauss-Jordan elimination to determine A for the matrix given below. 1 31 [] Lo 2 7, A= 1 2 4

A:

Q: Given the following Case 2 rational function, x²-x x² +1 q(x)= Identify the matching response for…

A: q(x)=x2−xx2+1 is the given rational function and we have to find the equation of horizontal…

Q: Compute the center of mass on a rod of density p(x) = 3x³ + ze¯ with z € (0,3). H = Round to 4…

A: Given: a rod with density To find:center of mass

Q: Geometric series can be found by transforming f(x)= to series form using 1-x Maclaurin's series to…

A: The objective of the question is to understand why the geometric series represented by the function…

Q: Find the curvature of the curve r(t). r(t) = (4 + In (sec t))i + (8 +t)k, л/2<t</2 OA. K=1-cost B.…

A: Therefore the correct option is B.Explanation:

Q: Find the value of k so that the graph of y = (x + 5)² + k passes through the point (-2,-14). k =…

A: To find the value of  so that the graph of  passes through the point .

Q: Compute the length of the curv L= ¹rve r(t) = (2t, ln t, t²) over the interval 1 ≤ t ≤ 2 =

A:

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: X y = y 77 225 471 877 3 1480 1.5 2 2.5 Paste the table into Desmos and fit the requested type of…

A: (a). Exponential function: The exponential function that best fits the data is :…

Q: 3. Graph y = 4 sin(3x) over the interval 0 ≤ x ≤ Find the surface area of revolution about the…

A: Given: To Find: To draw the graph of the above function.To find the surface area of revolution about…

Q: Evaluate the lim BE 1 1 x 2 X-4 X-4

A:

Q: Find the distance between points Pr and Pe Pe (5,-4) and Ps (73, 2) P₂

A: Given:Two points To find:distance between the two pointsThe distance between two points  is

Q: Given y= (3x^2+2x-1) / (x+1) determine - a) all restricted values b) all missing points (x, y) c)…

A:

Q: x² -dx. X-4

A: I=∫x2x−4dxSubstitution u=x−4Using the power ruleddxxn=nxn−1

Q: Given f(x, y) = (xy + 6xy). Compute: 0 0 0² f OT² a²ƒ Oy² -

A:

Q: Evaluate the integral. 3 64 X - X L' ( √ ²² = x - √²- =7) OK dx X 64 X 1

A:

Q: Find the volume of the solid obtained when the region under the curve y = 13 arcsin(x), x ≥ 0, is…

A:

Q: Find Maclaurin's series f(x) = √²x.

A: The objective of this question is to find the Maclaurin series for the function f(x) = sqrt(2x). The…

Q: 18. Use limits to find the area between the graph of the function and the x axis given by the…

A:

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(e) =…

A:

Q: 2. Find the unit tangent vector T(t) at the point with the given value of the pa- rameter t. (a)…

A: Question No. (a):To find the unit tangent vector to the curve .Note: Since you have posted multiple…

Q: Problem #2: Evaluate and determine whether the function is continuous at (0,0). Provide…

A:

Q: Find the interval of convergence and radius of convergence of the series Σ(5x)". n=1

A: S=∑n=1∞(5x)nUsing geometric series test,∑n=1∞arn−1=a1−r,|r|&lt;1

Q: Find ∂w/∂v, if w = 3x4-5y3+z5-10, x = 3u-4v, y=5u+2v, z = u+8v. Write in terms of the two…

A: Chain rule of derivatives

Q: Use the Theorem of Pappus to find the volume of the given solid. the solid obtained by rotating the…

A: The solid obtained by rotating the triangle with vertices

Q: 5. Consider the following. r₁(t) = (4t, t², t³), r₂(t) = (sin(t), sin(3t), 5t) Find r(t) and r2(t).…

A:

Q: 2/3 Solve. 2x Solve. /2-9 = 19 + 1 = -2 = 0

A: Solve Solve

Q: 9. Evaluate the limit for the graph: lim f(x). x → 0 a. b. y 4 2 11 20 2 does not exist +00 4 x c. 0…

A:

Q: Which of the following series is the power series expansion for f(x)= x(cosx - 1). Select one: O a.…

A:

Q: 1. Graph and shade the region enclosed by y = e + 2, y = 0, x = 0, and x = 0.3. -0.10 3 2 0.10 0.20…

A:

Q: Evaluate the following integral or state that it diverges. Ĵ dx 2 -∞ x + 225 Select the correct…

A:

Q: Find the roots m₁, m₂ of the characteristic equation of y" + 8y' + 6y = 0.

A:

Q: The area of a circular oil slick expands at a rate of 10 m2 /min. Help see how fast is the radius…

A: The area of a circular oil slick expands at a rate of 10 m2 /min.To determine the rate at which the…