A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with roots r = - and s = O a. g(x) = x² + + O b. g(x) = x² + - O c. g(x) = x² - 4 - O d. g(x) = x² -
Q: Can I get a clearer version of this? the writing sometimes confuse me
A:
Q: Find the first three terms of the expansion (4 – 2x)°. 4°(1 + 쫄 + 폴 + .) * + +..) Oc 4°(1-쪽 + 폭+ …)…
A: The solution is given as
Q: 3. f(t)=1®+b+a cosh /21 + bsinh /21
A: 3 Given function is ft=ta+b+acosh2t+bsinh2t. We have to find the Lft. Take Laplace transform of both…
Q: a) : Determine whether the series Ene-n° n=1 is convergent or divergent. b) : Use the Comparison…
A:
Q: Consider the following two matrices 1 7 A =|0 1 0 -2 0 1 0 1 3 (1 3 0 0 B =0 0 1 0 0 0 0 1 Select…
A: Solution:
Q: Let a ER which expressions are part of the Borel o algebra, B(R) they are correct? and give the…
A: The main objective is to determine the correct option.
Q: se the Divergence Theorem to evaluate S F · N dS and find the outward flux of F…
A:
Q: of partial fraction y''+7y'+12y=0, y(0)=1, y'(0)=2
A:
Q: Select all the real numbers M among the choices below such that the two planes given by r. -2= -3…
A:
Q: Arcsin(x/y) = 4x + 3y
A: Given: sin-1xy=4x+3y To find the second derivative y''.
Q: Calculate the following double integral a(x+y)dxdy-[ where 2 = {(x, y) :0sys 2x+2,0 <x<3} Submit the…
A:
Q: Let lį be the line described by the Cartesian equations • x =1 • y-4 = 2(z-6) Let l2 be the line…
A: Given that l1 be the line describe by the cartesian equations x=1y-4=2(z-6) and…
Q: Find all integral solutions of the linear Diophantine equations 6x + 11y = 41
A: We recall a standard theorem about Linear Diophantine Equation and then use that theorem to solve…
Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…
A:
Q: [a b] There are exactly two orthogonal matrices of the form What are they? 1499
A: Since you have asked multiple questions so as per guidelines we will solve the first question for…
Q: . u, = u, - sin x cos t, 1> 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, u,(x. 0) = 0
A: Solution :-
Q: 1) An electronic manufacturing firm has the profit function P(x) = - x3 +? x² – ADx + A, and revenue…
A: a. Given, Px=-BAx3+DAx2-ADx+A and Rx=Ax3-Bx2-Dx+AD. The relation between profit, cost and revenue…
Q: How many people only take a cruise for vacation?
A: Solution
Q: Using Green's Theorem, evaluate |(sin z – y) da + (2³ + e") dy where C'is the circle x2 + y = 4.…
A:
Q: , How many ways are there to distribute r+s identical balls among five different children such that…
A:
Q: D. Calculate volume enclosed by (z 8-x²-y) and (z x2 +y²), (Use order dx dy dz).
A: Here we use basic formula of volume
Q: Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and…
A:
Q: d'r If r = (+ 2t)i – 3e-²j + 2 sin 5t k, find dt2 at t= 0. 12j -12j 12i -12k
A: Use the following formulae, to obtain the solution.…
Q: i) find the relative extrema of ?; (ii) determine the values of ? at which the relative extrema…
A: Since 25-x2 is defined -5≤x≤5, the domain of the given function is -5≤x≤5. Substitute fx=0 in the…
Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…
A:
Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…
A:
Q: Consider the SIR model with the square root dynamics ds A- uS – BVSI, dt IP dt dR BVSI - (u+7)I, I-…
A: We will use the basic knowledge of ordinary differential calculus for linear homogenous ordinary…
Q: The geometric object in 3-space represented by the equation (x + y +z)^2 = 81 is a. the empty set O…
A:
Q: a particle is moving on the x-axis with a velocity of v(t) = t^2 - 3t - 18. For what values of t > 0…
A:
Q: Let /, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-5) Let lz be the line…
A: To find the distance between two given lines we need to consider general point on each line. Minimum…
Q: A sizeable bare building wall serves as a backdrop for a famous night food market in Baguio City. To…
A: We will use the basic knowledge of integral calculus and evaluation of integrals to answer this…
Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. (2) lim tan 7n…
A: Definition of the definite Integral
Q: dy 18. 0 2y = 0 sec 0 tan 0, 0> 0, y(7/3) = 2 de
A:
Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy %3D dx
A:
Q: 9. Determine whether the given integral is convergent or divergent: S z dx? (4-x)5 1. a. convergent…
A:
Q: Use the Divergence Theorem to evaluate S F · N dS and find the outward flux of F…
A:
Q: I'm quite confused with the answers. Which is which?
A:
Q: How did you get 1=5a+5b I understand how you got all the values for the formula but why did you…
A: Solution
Q: Calculate the circulation of the field F around the closed curve C. F = (-x - y) i + (x + y) j ,…
A:
Q: Consider the following two matrices 1 2 1 1 3 1 3 A = -2 B = | 0 1 1 0 0 0 1 Select one: a. both A…
A: In row echelon form number of preceding zeroes increase in consecutive rows. In row reduced echelon…
Q: Find L{f(t)} of the following functions. Note: a, b, e, k and n are constants. (t+1 ,0<t <1 1. f(t)…
A: Laplace transferom of the function, using definition of the Laplace transferom
Q: 2. f(t) =t cos 81 +2 3. S(1) =1 +a cosh /21+bsinh 21 f (t) =cos (21) + e² 4. e
A:
Q: How to test the divisibility by a number using binomial theorem. Explain step by step.
A:
Q: Express the circle specified by x 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…
A: Note: Equation of a circle with radius r and center at (h, k) is given by (x-h)^2 + (y-k)^2 = r^2
Q: Can you explain part (ii) more? just like a basic step by step explanation of everything that…
A: As per the question we are given two functions α(x) , β(x) And we have to find the derivative of…
Q: 2. Use the binomial theorem to show that for all integers n 2 1, 3" = 6) + 2 (4) + 2ª (") + 2" (")
A:
Q: WHAT SYMBOL IS THIS
A: As the given curves are c1=3sin2θc2=3cosθ
Q: dz dz and ду Suppose z is a function of a and y, and tan Vy² + x² = 2e6y. Solve for
A:
Q: 1. Express E-1 k () 3* in closed form (without using a summation sign or ellipsis).
A: Please check the next step for detailed solution
Q: rectangle ABCD has side AB on the negative x axis, and side AD on the negative y-axis. POint C is on…
A:
M23
Step by step
Solved in 3 steps with 3 images
- How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with: (x-3)2+4-y=0The results obtained as a result of velocity measurements made from the moment a rocket was launched are shown in the table below.is seen. Equation connecting rocket velocity to time V(t) = a1t2 + a2t + a3 5 ≤ t ≤ 12 Since it is known that there is a polynomial in the form, calculate the value of the coefficients a1, a2, a3 in the equation by Gauss elimination method.The polynomial of degree 5, P(x)P(x), has leading coefficient 1, has roots of multiplicity 2 at x=5x=5 and x=0x=0, and a root of multiplicity 1 at x=−3x=-3.
- Find a third-degree polynomial p(x) that is tangent to the line y = 14x − 13 at the point (1, 1), and tangent to the line y = −2x − 5 at the point (−1, −3).Consider the polynomial:f=2X^4+aX^3+3X^2+bX+c belong to R[X],with roots x_1, x_2, X_3, X_4 belong to C. Please check the attached picture for details. I need complete solution with explanation please. All three subpoints are subpoints for the same problem and they are conected between them, but if it is not possible to solve them all please solve what you can, thank you in advance.Based on data from the U.S. Bureau of Public Roads, a model for the total stopping distance of a moving car in terms of its speed is s = 1.1v+ 0.054v2, where s is measured in ft and v in mph. The linear term 1.1y models the distance the car travels during the time the driver per-ceives a need to stop until the brakes are applied, and the quadratic term 0.054y2 models the additional braking distance once they are applied. Find ds/dv at v = 35 and v = 70 mph, and interpret the meaning of the derivative.
- Give the form of yp if the method of undetermined coefficients were to be used. You need not actually compute yp.In an experiment, a scientist obtained the following data. x 0 1 -1 y -5 -3 -15 Then by using "Newton's interpolating polynomial method", the scientist got the following polynomial : P2(x) = −5 + 2x − 4x(x−1) Now, the scientist wants to do more experiment and got two more points (2, 39) and (−2,−9). Therefore, the total data is the following. x 0 1 -1 2 -2 y -5 -3 -15 39 -9 Again by apply Newton's interpolating polynomial method, the scientist obtained the following polynomial P5(x) = a + 2x + bx(x−1) + cx(x−1)(x+1) + 3x(x−1)(x+1)(x+d). Then, a= b= c= d=Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through the point (1, 52) a. -2x^4 - 46x^2 + 100 b. -(2/3)x^4 - 14x^2 + (200/3) c. x^4 + 23x^2 - 50 d. x^4 +21x^2 -100