Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x ²m (5-xy) = 1- cx c) x ln (5-xy) = 1 + cx Show you polutions.

Q: the same system solve in many ways the values are different. true or false? True False

A: Let's solve.

Q: B.Verify that the real and imaginary parts of the following function satisfy the equation and that…

A:

Q: Write an equation for a line parallel to y = y = - 2x + 3 and passing through the point (4,-6)

A:

Q: Graph the parametric equations x(t) = cott ly(t) = sin² t

A: Consider the parametric equations x(t)=cot ty(t)=sin2t

Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

A:

Q: Find the area of the region between the curves x=((y-2)^2)/3 and y=8-x shown in the following…

A: Explained below

Q: the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

A: We have to solve the given differential equation.

Q: Integr S√₂-cod -1 ation fuctions. 1-cos²x) dx Not of the above B 1 O

A:

Q: Use the difference an+1-an to show that the sequence {n-9"} is strictly increasing or strictly…

A:

Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 C. 7x D. 14

A:

Q: The angle between two vectors A = B = -1 0 cos Ө Ө -A 39 (²2) - B 75. 39 -1 = COS - C 5625/ not of…

A:

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: This is a problem related to numerical method. Based on the general formula and concept of lagrange…

Q: (e) dy = separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of…

A: Let's solve for diffrential equation.

Q: Solve the differential equation. dy dx 8x(y² + 1) n(4x² + ) X tan

A:

Q: Use the subsitution t = tan(x/2) to transform the integrand into a rational function of t and then…

A:

Q: Evaluate the integral. 1 √x(1+x)” 1 x(1+) dx = dx

A:

Q: A population of rabbits oscillates 23 above and below average during the year, hitting the lowest…

A:

Q: Use the table below to fill in the missing values. x f(x) 0 6 1 7 4 9 3 1 2 5 23456 7 8 8 0 f(1) if…

A:

Q: Q₁ If y= ln |cschx + coth x1, fnd dy du

A: Given problem:- y=ln|csch(x) +coth(x) |  Find dy/dx

Q: Find the area of the region between the curves y=x and y=x^3 on the interval [-1, 1]

A:

Q: 2 f cos³x sin³² x dx = sin ³x 3 sin 5x 5 +6

A:

Q: What is the value of p = lim+¹ when applying the Ratio Test to assess n→∞an a convergence of? What…

A: Given problem:-

Q: Q3:A. Determine the following function U is harmonic or not x y U = 3 + cos sin ossin

A:

Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

A:

Q: If 2x2-3y2=5xy, then find dy/dx | x,y=(2,-4)

A:

Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

A:

Q: Use either form of Green's Theorem to evaluate the following line integral. $9x²1² 6 C $9x³y² dx +…

A:

Q: Simplify the difference quotient. f(x) = 3x2 + 4x — 2 show ALL of your work in order to receive…

A:

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+ + 4 16 +

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: Find the equation of the curve that passes through the point (0, 3) and has a slope of 2 x+1 O y =…

A:

Q: Find an equation for the tangent plane to the surface z = 3y^2 − 2x^2 + x at P(2, −1, −3). Express…

A: Let's find equation of tangent plane.

Q: Q3/Solve the differential equation (0²2 - 2x + 5 = e²xsinx)

A:

Q: If it was 3 A = [ ²³₁ 4 So [20 0 8 A² = 11₁3 - A 51 41 A² = [¹64] - B 9 -C 20 A² = [13 A² = [16 9 5]…

A: To find the square of the given matrix.

Q: ind the general term of the sequence, starting with n = 1. etermine whether the sequence converges,…

A: Follow next step

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: Studied Studied Saturday A math tutor working with a small group of students asked each student when…

A: To find the student who neither studied on Saturday and not studied on Sunday.

Q: find the volume in the first octant under the plane z=y and inside the cylinder y²=4-x.

A: Given that, the cylinder is y2=4-x and the plane is z=y. y2=4-xy=±4-x Note that, the volume is in…

Q: A company surveyed employees about how they travel to work. • 47 employees walked 63 employees drove…

A: Given problem:- A company surveyed employees about how they travel to work. • 47 employees walked…

Q: Q2: Find the double integration f (4x + 2)dydx D = {(x,y):0<x<2,x?<y≤2x}

A:

Q: Solve the given initial-value problem. (x + 1) dy + y = In(x), y(1) = 25 dx y(x) = Give the largest…

A:

Q: Indeterminate Form sin x 1. lim- x->0 x² x² + x 2. lim. xxx+4 3. lim 1 1+ cos2x 2x-1

A:

Q: Question 8 of 9

A:

Q: A tank contains 210 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A: Given the volume of the fluid initially = 210 lsalt dissolved = 40 gpure water is pumped into the…

Q: find the volume in the first octant under the plane z=y and inside the cylinder y²=4-x.

A:

Q: Which test would you use to determine whether -3.2 n converges? n=1 A. The series is geometric with…

A: Given :∑n=1∞n-3.2

Q: Use the Substitution 8 *4(In x)³ 1 b n Formula, Sf(g(x)) • gʻ a g(b) (x)) • g'(x) dx = [ f(u) du…

A:

Q: The table below lists the number of homes sold by a real estate company in 2010 and 2015. Let t =…

A: a.We need to write a linear model,   n(t)= mt + b  Given, n(0)=200 implies,  m×0+b=200 ⇒ b=200And,…

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

A:

Q: Find an explicit solution of the given initial-value problem. dx dt = 6(x² +1), x( 1 ) = = 1 X =

A: