Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first 5x+8x³-7x²+47x+5,x+3 Is x + 3 a factor of 5x¹ +8x³-7x²+47x+5? O Yes No

Q: Find laplase 4-f(t)=e²¹.t³.

A: Given problem:- Find laplace transformation of f(t) =e-2t t3

Q: The gradient of f(x, y) = xy at (x, y) = (3, 3) is

A: Given problem:- Find the gradient of f(x, y) =xy at (x, y) =(3, -3)

Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

A:

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

A:

Q: The point (-1,-4) lies on the circle whose center is at (3,-1). Write the standard form of the…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

A:

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A:

Q: Question 1. Let f(x, y) = eª + 2xy³ + x²y. Find the following: (a) ▼ f(x, y) (b) ▼ f(0, 1) (c)…

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the…

Q: Determine the equation of the tangent line and the normal line to the curve f(x)=x3 -3x2 +2x +2 at…

A:

Q: For the equation, find ay evaluated at the given values. dx x² + y² = xy + 28 at x = 6, y = 2

A: The given equation:x2+y2=xy+28We need to find dydx at x=6, y=2.

Q: What is the nth-term formula for the number of square tiles in the nth figure? How many tiles are in…

A: Concept: The nth term of the sequence: Yet another term is a formula that allows us to locate any…

Q: Solve the given differential equation by separation of variables. dy X- = dx 8y Cx8 X

A: We have to solve the differential by separable method

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A: Given that,

Q: Weight 2 3 Cost 130 195 4 260 5 325 6 390 Using the information given in the table above, answer the…

A: we have to find  d) y-intercept of the function  e) equation of the function , with the help of…

Q: Find the particular anti derivative that Satisfies the following conditions dy 4x +3 ; y(1) = 8 dx…

A:

Q: of the function f. Find the range of f and the domain and range of f1 π f(x) = -2 cos (3x); 0≤x≤ 3…

A:

Q: Solve the given differential equation by separation of variables. dy = e5x + 4y dx -4e5x 5 + C X

A:

Q: How do you find the absolute maxima and minima for a function of two variables?

A: So In this we have to follow the basics to calculate extreme values , I'm providing you the…

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: Solved below.

Q: 3- If √secx + 5cosx find y

A:

Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

A:

Q: Differentiate f(x) = 2π.

A: Given  f(x)=2π Apply differentiation

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

A:

Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from a = -1 to x = 4, first using 5…

A:

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: According to question,Given equation,x2 - 5y2 + 26x + 164 = 0

Q: Check the following relation R on the set A = {1, 2, 3, 4]} is reflexive, symmetric and or…

A:

Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A:

Q: The Gamma Function is defined by [(x) = fx-¹e-tdt, positive integer then prove that for na T(n) = (n…

A:

Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

A:

Q: Evaluate the integral. 1 √2√2 ²² √2-4° dt t³

A:

Q: رد البر A Polynomial of the third degree reculting from the Tyler series of the function fix)=√x+1…

A: The given function is f(x)=sqrt(x+1), x0=1.

Q: 3. Approximate the integral using: (a) trapezoidal rule. (b) Simpson's rule. SUBJECT: NUMERICAL…

A:

Q: Find the inflection point(s), if any, of the function. Enter your answers as (x, y). If there are no…

A:

Q: Upon the death of his aunt, Lucien receives an inheritance of $40,000, which he invests for 13 years…

A:

Q: H.W (5) Solve the following differential equations of (3x² - 6xy) dx +(-3x²-2y) dy=0

A:

Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

Q: In Step 2, why did you multiple the 1st equation by 1, and the 2nd equation by 2 then adding. Rather…

A: We have to tell why in step 2 multiply the 1st  equation by 1, and the 2nd equation by 2 then…

Q: 4-f(t)=e¹²¹.t³.

A:

Q: 1-sinx x-1-cos2x 9) lim 10) lim TC X- sinx-cosx TL X- 4

A:

Q: Use trapezoidal rule to approximate the integral fex dx.

A: Follow the procedure given below.

Q: Find the derivative of y(x) = (x+3) ¹/2 x+19 (Use symbolic notation and fractions where needed.) dx…

A:

Q: Suppose that x and y are related by the equation 4x² - 3y² = 5 and use implicit differentiation to…

A:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A:

Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A:

Q: Use the Chain Rule to find the derivative. y = cos (e40) (Express numbers in exact form. Use…

A: Given.

Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $233,000, for…

A: We have to find the present value.

Q: 9. Expand and simplify the answer. (2x - 2)°

A:

Q: #19.) as which of the following points lies on the line x=2€, A(2,4,27 BC-2,2,17 C(4,5,2) D(6,6,2)…

A: 19.The parametric equation of the line x=2t, y=3+t, z=1+t