For the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions. The zeros are-3,-1, and 4. P(-2) = 30 P(x)= (Simplify your answer.)

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: We have the sequence (√2 - √9), (√3 - √10), (√4 - √11),........... Find the general term of…

Q: Given that lim f(x) = 4 lim, g(x) = -5 lim h(x) = 0, find each limit, if it exists. (If an answer…

A:

Q: · Sainº z diz. 1.

A:

Q: 15. xdx+sin’ (y/x)[ydx − xdy]=0.

A:

Q: 7. If lim f(x) = lim g(x) = 0, does lim exist always, sometimes, or never? Is x = a a VA of h(x) =…

A: How to find the limit exist or not.

Q: Set up the definite integral required to find the area of the region between the graph of y= 2² - 15…

A:

Q: 3. (a) Find the slope of the tangent line to the parabola y = x² + 3x at the point (-1, -2) (i)…

A:

Q: Two 30 Cars and A and 40 mi/hr Start moving toward time will B having average speed of respectively…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 1. Use the graph of f(x) to find each of the following. a. lim f(x) = x-0 b. lim f(x): X→4- C. lim_…

A:

Q: xy dx - (x + 2y)² dy = 0.

A:

Q: 4) Find a polynomial of degree 4 that has real coefficients and has 3,2 and 2+i as some of its roots

A:

Q: A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters…

A: As we know that cosθ=BaseHypotenus for a right angle triangle.

Q: Solve the differential equations below by using any of the following methods only: - Variable…

A:

Q: Solve (x − y + 3) dx − (x − y) dy = 0 ○ (x − y)² + 6x = C O (x - y)² - 4x +y = C O (x - y)² + 6x -…

A:

Q: 8) Is f(x) = 6x² - odd, even or neither? You must show all of your algebra. x

A: To verify that function is odd, even or neither.

Q: The distance d (in feet) a moving car is from a stoplight is given by the function d(t) = 21t²,…

A:

Q: Solve (x + 2y − 1)dx + (2x+y+1)dy = 0 (y − 1)² + 4 (x + 1) (y − 1) + (x + 1)² = 0 (y + 1)² + 4 (x +…

A: Differential equation is of the form Mdx+Ndy=0, if ∂M∂y=∂N∂x then the differential equation is…

Q: Find the general solution of 3 y" = 6x³ y' (6) = 2 y (0) = 1 TUNISINI + *292/

A:

Q: 4. y = sin (3x) cos (2x)

A:

Q: Eliminate the arbitrary constants y = -x (c₁ cos 2x + C₂ sin 2x)

A:

Q: 1) In the 2000 U.S.​ Census, a small city had a population of 60,000.  By the​ 2010, the population…

A:

Q: If the area between the curve is 36 units. Find the value of c. 4 f(x)=x²-c C

A:

Q: Integrate: dx/(K+bx)=dy/-by

A:

Q: ક) Same work job A in can do 6 days. together? job in How long 3 days and will it take B them can do…

A:

Q: y = e(c₁ cos 2x + c₂ sin 2x)

A: y = e-x(c1 cos 2x + c2 sin 2x) So, y' = - e-x(c1 cos 2x + c2 sin 2x) + 2e-x(- c1 sin 2x + c2 cos 2x)…

Q: 34. t-36 f(-) dx = -36, which of the following must Given that be true? A. 6-36f (p) dp = -36 B. −…

A:

Q: 1. Let A, B and C be any vectors. Which of the following statements is false? a) A B = B. A b) A+…

A:

Q: f(x)=square root of 23x-3 simplify the expresion f(x+h)= simplify the diference quotient f(x+h)…

A: We will find the required.

Q: Consider the region between the graph of y = The graph intersects the z-axis atz = intercepts,…

A:

Q: 2) 2xy + y² - 2x = 0 dy dx Ax

A:

Q: 123 m33 4-3 2

A:

Q: Differentiate the function: F(t)= (6x-5)2

A: Differentiate the function: F(t)= (6x-5)2

Q: first term of the arithmetic sequence is 12. Common difference is -5. Find the sum of the first 10…

A:

Q: 3. Let C be the curve given by {(x, y) = R² | 2³ + 2x² + xy³ = y³}. Find the r-coordinates of the…

A:

Q: Solve the initial value problem y" - 3y 10y = 0, y(0) = a, y'(0) = 16. Find a so that the solution…

A:

Q: ulate the distance between the points L=(-5, -1) and J-(2, -8) in the coordinate plan e an exact…

A:

Q: 28. Write the component form of the vector of length 5 that makes an angle of 30 degrees with the x…

A:

Q: Eliminate the constant: y=x+c₁₂e¹+c₁₂e\ 1 Oy"-y=-x Oy"-y'+y=0 Oy"-y'=x Oy"-y=0

A: Given: The given equation y=x+c1ex+c2e-x To find: we need to eliminate the arbitrary constant.

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (x+5…

A: Given function,f(x)=x+5if x≤-12xif x>-1

Q: If f (x) = e sinx, then f'(x) = = A B C D e cos x -e* cos x e* (sin x + cos x) e* (sin x - cos x)

A:

Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the fam y =…

A: We have to find the differential equation from the given curve and we have to also check y = tan(cx)…

Q: 4. Do Ex. 3 with the aid of the formula: sin y cos y = Ans. Ans. - 5. $../00 cos 20 sin 20 de. sin…

A:

Q: 3. Which vector is not equal to zero? a) ix (j×k) b) (ix j) × k c) (i × i) × j d) ix (ix j)

A:

Q: 10. Determine the particular solution of the following differential equation: dyxy+2y-x-2 xy-3y+x-3…

A: The given differential equation is: dydx=xy+2y-x-2xy-3y+x-3  ;      y(4)=2

Q: Consider the region between the graph of y= -7≤ x ≤ 4. Which integral(s) are necessary to find the…

A:

Q: Question 7: x² - 4 - y = 0

A: We have to solve the given equation using elimination method.

Q: Determine if the following functions are homogeneous, and if so, of what degree? 1. z(x, y) = x5 /…

A: We need to check if the following functions are homogeneous, and if so,of what degree they are.1.…

Q: 5) Use the fact that 6i is a zero of f(x)=x³-2x²+36x-72 to find the remaining zeros.

A:

Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

A: