The equation x² + y² +10y + z² = 6z - 18 represents Select one: O a sphere with center (0, 5, -3) and radius 16. O a sphere with center (0, -5, 3) and radius 16. O a sphere with center (0, 5, -3) and radius 4.

Q: Evaluate the following integral or state that it diverges. S (15 In x)dx Select the correct choice…

A:

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A:

Q: Given this boundary-value problem: d²y y + d0² 4 which has the solution y = 2 sin(0/2), 0, y(0) = 0,…

A:

Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: x²-1 da X

A: We have to evaluate ∫x2-1x dx.

Q: Let à = and b= . Find k so that a and b will be orthogonal (form a 90 degree angle). k=

A:

Q: y = f(x) = 8x² - 4x + 5 (a) Find the differential of f. dy = (b) Use your result from part (a) to…

A: Follow the procedure given below.

Q: The number of people in a town of 65,000 who have heard an important news bulletin within t hours of…

A:

Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

A:

Q: Se³x cos (2x) dx 3x

A:

Q: Which of the following is a unit vector parallel to the vector ? Select one: 2 0 8 1 4 <- 81¹ 81¹…

A: Let's solve.

Q: 3 Approximate (4+x²) dx using five equal subintervals. -3 An approximation for the integral using…

A: To approximate ∫-334+x2 dx by using five equal subintervals.

Q: Situation 1 (items 43-44). For the beam and loading shown in Figure 2, determine the following: 44.…

A: We have to find the tension in cable BC.

Q: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

A: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

Q: can you please write it clearly for a better understanding

A:

Q: OS: Find the solution of the following D.Est 5y-x7 at x- 2

A: Note:as per guidelines we support only one question in one request.kindly repost next question in…

Q: Find all the values of x such that the given series would converge. (-1) xn 3" (n² +9) n=1 The…

A:

Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

A:

Q: 17. Use the method of disks/rings to determine the volume of the solid obtained by rotating the reg…

A:

Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

A:

Q: 3X Se ³x cos (2x) dx

A:

Q: d²x x². - 5y = x + 1 is non-homogeneous second order differential equations with constant…

A:

Q: totals the proportion of observations that are less than or equal to the class at which you are…

A: Solution given below

Q: Evaluate the following improper integral if it is convergent. S 13 -dx x In x Select the correct…

A:

Q: Question 4 > 18/17-16-15-14-13-12-11 -18-9-8 -6 -5 -4 1-3 -2 -/ f(x) = 5 4 3 2 ma -2 in your The…

A:

Q: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola…

A:

Q: The Eigen value of matrix p is (solve) ГО 0 Lo 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

A:

Q: Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

A:

Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

A:

Q: IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

A: Since you have asked multiple questions, as per our guidelines we are supposed to answer only one…

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 Option 4 O r=3 Option 2…

A:

Q: The Maclaurin series of the function f(x) = 2x² sin(9x) can be written as f(x) = Σcna" 71=0 where a…

A:

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: puit 2 x³ = x²y sir (22²) X tije xp

A: Solution of given question is written in below steps.

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: To find the derivative.

Q: 3. (a) Solve the differential equation (x+1) ª¹ = y +e³(x+1)² . dx (b) Form the differential…

A:

Q: Two functions fand g are defined in the figure below. (a) ∞ Domain of f (b) Range of f 7 9 Domain of…

A:

Q: Suppose the line L crosses the y axis at 7 and L is Tangent to a function f(x) at the point (5,3).…

A:

Q: The Taylor series expansion of 2 |z| < 1 is (solve) Z-2¹ −(¹ + ² + ² + ² …..) X Option 2 O…

A: Taylor series

Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

A: We have to find relative maxima and minima.

Q: 3x 2. y = Ae³x cos x+Be³x sinx

A:

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A:

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution is given below:

Q: Let à . Find al.

A:

Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: Solve: y'' - 4y' + 4y = 3e ^(2x) Show all work clearly please.

A: See the details solution in below

Q: 36. Determine the exact simple interest on P 2,000 for the period from January 10 to October 28,…

A: The solution is given in the next step.

Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: Solve DU 11 dx 4x+3 x³ +2x² + x

A: ∫4x+3x3+2x2+xdx=∫3x-3x+1+1x+12dx=∫3xdx-∫3x+1dx+∫1x+12dx=3lnx-3lnx+1-1x+1Add a constant to the…