Find a homogeneous linear differential equation with constant coefficients whose general solution is given. Y = C₂ + C₂x + c₂e6x Oy"" - 7y" + 6y' = 0 Oy"" + 6y' = 0 Oy"" + 6y" = 0 Oy"" - 6y" = 0 Oy" + 7y" + 6y' = 0

Q: Find dy dt dy dt at x = 3 if y = 5x² + 3 and dx dt 2.

A: Given:-y=5x2+3dxdt=2 at x=3To find : dydt

Q: Use implicit differentiation in finding y'. 1. x²³² +y³ =18xy

A:

Q: Find all points where the function is discontinuous. Ay G OA. x = 4 OB. x= -7, x=4, and x = 6 OC. x=…

A:

Q: Find the derivative f'(x) = f(x) = of the function. 2 - 58 - x x²-6

A:

Q: Find a Cartesian equation for the curve described by the given polar equation. r = 9sin 8 Select the…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: 6. Verify that the function f(x, y) = ln (x² +2²) is a solution of the Laplace equation Zxx+Zzz = 0

A: Topic:- application of derivatives

Q: Integrate: S xdx 9+x4

A: Topic - Indefinite integral

Q: 2. Let f(x) = f*cos² tdt. Find f(x) b. Find f'(x)

A:

Q: Find the definite integral of ƒ™/* cos 3x sin 5x dx. -π/4 Option 1: Option 2: Option 3: Option 4:…

A:

Q: Use the following information to answer the next question Two functions are shown. y = f(z) is the…

A: We have to find the values of b, c, d.

Q: 16. 3x So ² (z+y²) dydz 2x pasky

A:

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

A:

Q: A silver dollar is dropped from the top of a building that is 1389 feet tall. Use the position…

A:

Q: Integrate: S dx sin ³x cos6x

A:

Q: Convert the equation r cos=-4 sin (29) to Cartesian coordinates. Describe the resulting curves.…

A:

Q: Q2) A- Find asymptotes for the following functions : x²-1 (1) (2) x²+2 B- Find dy dx x³+x²-x-3 x²-1…

A:

Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 6t5 L{f(t)} Submit…

A:

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A:

Q: (3) Theorem: The area between the curves.y = f(x) and y = g(x) and between x = a and y = b is A =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A population of 440 bacteria is introduced into a culture and grows in number according to the…

A: We can solve the given problem by using the derivative rules.

Q: Find the slope of the tangent line to the curve x² + 3xy + 3y³ = − 101 at the point (4, -3).

A:

Q: 6) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1,л,0).…

A: Given :x=sin3ty=2tz=cos3tpoint -1, π, 0

Q: Evaluate the iterated integral by converting to polar coordinates. 16 - y² [[T Jo X 3y dx dy dr de =

A:

Q: Solve the differential equation using only methods taught in class. y' + 3xe' = 0

A:

Q: Find out how much a retirement account based on a principal of $100509 compounded 5% quarterly after…

A: Topic = Algebra

Q: (x² + y²) dx - xy dy = 0.

A:

Q: Find the definite integral of ³ Option 1: 4 Option 2: Option 3: Option 4: Option 1 Option 2 Option 3…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: For each of the following differential equations, write the particular solution proposed according…

A:

Q: Given the initial condition y(0) = 1, find the particular solution of the equation yy' - 6x = 0

A:

Q: The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of…

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

Q: Compute the Jacobian for the substitutions = psin o cos 0, y = p sin osin 6, z = p cos p.

A:

Q: sin () = √3- sin(). The Solution set is 3 21 A 5 31 3 3 {##) (1 O{#, *}

A: topic - solution of trigonometric equations

Q: ?(x) = (x^2)−16 / (x^2)+2x−8 f(x) in lowest terms

A: Topic - functions

Q: IMS { (-1) * x² 49

A:

Q: a В b C A

A: Given:  a=9 and b=4 To find:

Q: If possible, find the number k so that f is continuous at every point. f(x) = 7. x≤9 X+ k, x>9 A. K=…

A:

Q: 8

A:

Q: etermine the Option 1: Option 2: Option 3: Option 4: Option 1 ue of ea 4x²-23x + 21 x² - 4x + 3 S of…

A:

Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit. 4x²…

A: The given limit is limx→∞4x25+49x2

Q: Suppose that f and g are continuous functions, and that ₁² f(x) dx = −4, f₁ f(x)dx = 6…

A:

Q: (e²y + te³y)dt + (te²+2) dy=o Initial condition: y(o)=-1

A:

Q: The diagram below shows the graph of f(z) and its first and second derivatives. By using the graph…

A:

Q: If $3,000 is invested at 10% compounded continuously, what is the balance after 9 years? $7,378.79…

A:

Q: rs are moving towards an intersection. One car is 160 meters north of the intersection an s the…

A: Please refer to the image below

Q: Find the area of the region bounded to the right by x = -y + 4 and to the left by x = y. 2 J] -2- 4-…

A: The objective is to find the area of the region.

Q: vertex of parabola : (-2,1)= (h,k) x=a(y-k)²+h ✓ (-1.5, -2.3) (j,4.2)

A: Given Vertex of parabola h, k=-2, 1 Equation of parabola x=ay-k2+h Points of intersection of line…