Determine the graph of the equation a² + y² + 2² - 6x + 2y - 4z + 19 = 0. O Sphere O Point O Empty set O Circle

Q: The arc length of y=In(cos x), 0<x<• is 3 ○A In (√2-1) A. ○ B. In (1+√3) C. In (2+√√3) D. In…

A:

Q: n. 3' 11. In each of the following, express the required series in summation notation.' (b) Find the…

A: Let's find taylor series of given  function  f(x) = sin(2x) at x = pi/6.

Q: Suppose that F'(x) O... = 8+4ln(3/5) O... 16+4ln(5/3) = O = 8+2ln(3/5) O 16ln(5/3) = x X 2 Then F(7)…

A:

Q: First find the equation of a plane through the point (4, 2, 1) with normal vector = 3i - 2j+ 4k.…

A:

Q: Solve step by step the following problem (be clear please) XXXXXXXXX Calculate the roots of the…

A:

Q: If the optimal solution to the problem of linear programming X₁ X₂ S₁ S₂ S3 SOL X₂ 0 1 1/2 -1/2 0 2…

A: Given

Q: 5. A function u(x, y) is defined by u2³-3xy². (a) Show that u is harmonic, i.e. it satisfies…

A:

Q: Find the arc length of the curve x = -2y³/2 from y = 0 to y = 10. Length =

A: Solve the following

Q: Q1: If the function f(x) define as f: R→ R such that f(x) = (x+1, x>2 x²-1, x≤2 Show that the…

A: This is the question to check the differentiability of the function.

Q: (B): Find the integration by using substitution method fx √2x-1 dx

A:

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A:

Q: dy (A) Show that if y=csc(u), then =-csc(u) cot(u) dx

A:

Q: = 0.3t centimeters per minute 2. The depth of the water in a tank is changing at a rate of r(t) O,…

A:

Q: find the given general differential solution, using homogeneous equations with constant…

A:

Q: Q2/ by using inversion method to solve the system 8x1-4x2+3x3=0 X₁+5X2-X3=-5 -2x₁+6x2+x3=-4

A:

Q: Calculate the arc length of y = 9x + 1 as x varies from 0 to 5. S -

A:

Q: Nx - My = R, where R is a function depending only on the quantity z = xy, then the differential…

A:

Q: determine the maximum, minimum or inflection point of f(x)= 6x/x^2 + 3

A:

Q: Find the area of the surface obtained by rotating the curve Y = from x = 0 to x = 1 about the…

A:

Q: compute each of the problem completely. (Partial Derivatives) 1) Compute Əz 25 and да at for 2=x²y,…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Calculate the partial derivatives at (T, U, V, W) = (4, 1, 5, 10). (Use symbolic notation and…

A: We can find the partial derivative of the given expression .

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: The equation P= 15 sin (2nt) +90 models the blood pressure, P. where t represents time in seconds.…

A:

Q: tr dr dt +x³ tcost

A:

Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

A: SOLUTION-

Q: Q2) Find the area inside the circle r 1 and outside the cardiod r = 1 - sin(0). r² and y = 1

A:

Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

A:

Q: (1+x)(1+ry Q14) 2x (1+x) dx - A) +C B 11 10 11 10 Q15) f f(x)=x+cosx, xe [0, ], then the function…

A: Note:- As per your demand we solve question 14 and 15 for you  Given problems:-

Q: A: f'(√) = -2. B: f'(√) = -1. C: f'(√) = √√. D: f'(√) = 1. E: f'(√) = 2. If fr. 70 f(t) dt =…

A:

Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: T (b) fo 6 sin 20 cos² 20 ӨР

A:

Q: 2e²x +7e* e2x+4ex+13 S dx

A:

Q: 022) Find the range for the function f(x)=2+3√4-x A(-0,2] Cos r 023) lim- A) DI 2x-z C) 0 TIN Di 1

A:

Q: to evaluate the following: f(t³-4t² + 5t+ 32) sin(t)dt (B) Use Tabular integration

A: Given integral is :

Q: The toll T charged for driving on a certain stretch of a toll road is $2 except during rush hours…

A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

Q: (6) _ z² = pqxy

A:

Q: 1 1-25t² dt

A:

Q: Determine whether the given function is even, or odd, or neither. One period is defined for the…

A: We have to find if the function is even or odd.

Q: dr Given arcsin(z) = arccos(r²), solve for dz |

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: The table below shows values for four differentiable functions. Suppose we know the following…

A: Given

Q: Solve the given differential equation by using separable variables. 1. dy x-5 = dx y²

A:

Q: In x -2 x dx

A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

A: We need to find equation of plane.

Q: Use mathematical induction to prove the following: 1 + 3 + 5 + ... + (2n – 1) = n² for n ≥ 1

A: This question can be solved using the four basic steps of mathematical induction.

Q: 9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to…

A:

Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

A:

Q: Solve each of the following systems of equations. Express the solution in vector form. (a) x+y+2z=4…

A:

Q: 4.2 Given g(x) = ) = cos z + sin for 0 <<, find the value of f(x + 1)dg(x). END

A:

Q: √tanx secox dx

A: We know that integration of xn is xn+1/n+1.   Here i attached the solution of this question.