10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0 16) x² + y² + 10x - 14y + 25 = 0

Q: In the partial fraction decomposition for some numbers A, B, and C. Find the value of B? -x²-x+2 C A…

A: On solving this we will get:  B= 1/2

Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

A:

Q: 1. Consider a point in Cartesian coordinates given by (3√//3, -3,-8). (a) Find a corresponding…

A:

Q: * If z = f (x, y); then its total differential can be expressed as дz dydz date - ( 7 ), v + ( ;) -…

A:

Q: Equation Conversion from Polar to Rectangular Coordinates r² = x² + y² r cos 0 = x r sin 0 = y |× y…

A:

Q: Let y = √x . Then dx is:

A:

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = S [² f(x) dx + √° 9( g(x)…

A: Given the region is bounded by y = x3 , y = 2x+4 and y = -1. Intersection of y = x3 and y = 2x+4 is…

Q: Assuming 4 cos(yz) + 3²x² = y² defines z as a function of x дz and y. Determine ду '

A:

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: Consider the ODE: dy xtan (7) + y dx a. Show that the ODE is a homogeneous first-order ODE. b. Solve…

A: The given differential equation is;  xdy/dx =xtan(y/x) +y.

Q: Torque, T, is defined as the rotating effect due to a force. Mathematically, 7 = r × F. Given F -…

A: Solution:

Q: Pls

A:

Q: Find dy/dx by Implicit Differentiation 2xy³ – x²y = 2

A:

Q: y = (x²-2x) (In x³-3 tan x) x√x

A:

Q: Find a Maclaurin series for f(x) = x2 e–x giving the first four nonzero terms and the general term.

A:

Q: Given the general solution for nonhomogeneous equation with constant coefficient is y(x) = y(x) + y…

A:

Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Given this problem we find how many trees should she plant per acre to maximize her harvest.   Here…

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

A:

Q: 1) Consider the spherical equation given by p = 4 cos 0 sin p. Determine its corresponding equation…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Part III: Approximation and Differentials. (no using of calculator present all manual computations).…

A: To estimate the value of (217)(1/3) by approximation and differentials.

Q: Let f(x) = x + 5 and let g(x) = x^2 + 5x. Specify the domain of f(x)/g(x).

A:

Q: For the given cost function C(z) = 250√ + find 8000 a) The Justion loval 1000 TUNING b) T. duction…

A: For the given cost function Cx=250x+x28000, to find d The production level that will minimize the…

Q: What is the area of the region enclosed by the graph of r² = 3 + cos 0? √ √3+ cos e de √(3 + cos 0)…

A: We have to choose correct option.

Q: (x) = x² tan 3x+cot 3x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

A:

Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

A:

Q: (Inverse Trigo, Higher Order Derivative, Chain Rule) Directions: Find the derivative of the…

A: The given problem is solved below in detail.

Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? 01 O 1.001 O 1.002…

A:

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: * Integral use to solve if series converges or diverges, give example if true or false

A: It is true that the integral is used to solve if the series converges or diverges. The method is…

Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

A:

Q: The radius of convergence of the series Place) (-1)" (n!) 0 3-6-9. (3n) (2x-1)" is equal to…

A: To find the radius of convergence of the given series.

Q: y= In x

A: Given function is y=x/ln(x)

Q: In a laboratory experiment, the population P of a microorganism is found to satisfy the differential…

A: The given problem is solved below in detail.

Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

A:

Q: Torque, T, is defined as the rotating effect due to a force. Mathematically, T = r X F. Given F =…

A:

Q: Put the given function into vertex form. Fill in the blanks to complete the function below.…

A: The vertex form of a quadratic equation is y = a(x-h)2 +k

Q: 2. Consider the spherical equation given by p = 4 cos 0 sino. Determine its corre- sponding equation…

A:

Q: For the following homogeneous differential equation, given that y1(x) = ex is a solution, find the…

A:

Q: integrate * S(4√r – V√r² – 6√r³) dr 8 ·12 3 r³ – 2/4 r ² + C 5 35 r-ri-24r + C ² 35 24 3²-5r³+²+ C…

A:

Q: Consider the series Σ(-1)^ 2³ Which ONE of the following statements is CORRECT? n=1 3" OA. The…

A:

Q: 2.) (2x + 3y - 1)dx- 4(x + 1)dy = 0

A: We have to solve given differential equation.

Q: 6. f(x)= (3x4 - 4x³ + 7x)5

A: As per our guidelines we are supposed to answer only one question at a time. So i am solving the…

Q: terval of convergence of the series Σ(√n+1-√n)(x+2)" is given by -3<x<-1.

A: It is convergent when  |x+2|&lt;1  -1&lt;x+2&lt;1  -3&lt;x&lt;-1

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

A:

Q: Let f(x)=x²e*² the value of lim [ƒ(x)]¹* i 1 - is: 4x1 1 a) b) c) 0 d 1 - e 1

A:

Q: Find -3) 2/2 lim xxx+1,

A:

Q: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx

Q: H.W (3) Find Laplace Transform for 1-f(t)=te"; 2 3-f(t)=e" sin 3t; 5-f(t)=(2t+3e² + 4sin 3t);…

A:

Q: Find the radius of convergence and interval of convergence of the series (-3)"x" √n+1 n=0

A: For a given series of the form ∑anFor radius of convergence   we will find first limn→∞an+1an&lt;1…