3. Which of the following polynomial function has degree = 3 and leading coefficient -6? a) f(x)=3-6x+2x² – 1 b) f (x)=3x- x° – 5x² - 1 c) f(x)=-6x+x*+2x² – 1 d) f (x)=x+x°+2x² -6

Q: Find the general solution of the given system. 1 0 X' = 2 2 -1 X %3D AUR 0 1

A: Given system is  X'=10022-1010X

Q: A tank is being filled with a liquid. L (t), given below, is the amount of liquid in liters in the…

A: Introduction: For a real valued function, its inverse function is such a function which on…

Q: The complex number z is defined by z= 3-z+4·j where z is real. a) Find, in terms of z, the real and…

A:

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: Determine the sequence of the generating function A(s) = (1– 2 -9)2 |s| < 1

A:

Q: Solbing linet differential equartions X dy 24

A:

Q: Find all positive integers n such that 2" – 1 | 3" – 1. - -

A:

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral x³ + x)dx.

A:

Q: 이) (x-1) (X-2) 의1 +J- X

A:

Q: If the cross-sections are circular disks with diameters in the xy-plane, A(x) = (Type an exact…

A:

Q: By using variation of parameters, what is a possible value for u' for the differential equation y' +…

A:

Q: Let V be the vector space of polynomials in r with real coefficients of degree at most 3. So: V =…

A:

Q: If A = (a, b) and B= (b, c), find: (i) (AUB) (ii) (AnB)' (ii) A'UB

A:

Q: Perform here the preliminaries to perform (a) sin40 (a) sine 8cos30 – 4cose

A:

Q: 10. Swap the order of integration for Só Sà f(x,y)dydx.

A:

Q: 7. Let C be the curve consisting on the line segment from (2,1) to (4,4), and then the line segment…

A:

Q: Solve for y" (1) : y" – 4y' + 3y = 6t – 8, y(0) = 0, y'(0) = 0 %3D

A:

Q: : FaF = 315.4312 N (Teasile) ŹFi=o > FGF Cos67.5+ FaHCos67.5+Fg0 =0 Fao =- 315.431a Cos67.5-207.192…

A:

Q: Determine the value of the Wronskian W(y1, y2) of y" - 2y + 1 = e2*(x + 1) if x-0.2 by using…

A: Given, y''-2y'+1=e2xx+1. The objective of the problem is to obtain the value of the Wronskian if…

Q: 6. Let F (x,y,z) = (x + y, –2y + z, 8z – x) and let U be the sphere where x? + y? + z² with…

A:

Q: B. Find the 6 sixth roots of (-729). Express your answers in polar form and the convert them into…

A:

Q: Consider the vector space P, of polynomials with real coefficients of degree at most two together…

A:

Q: as(3)- 수 2dx 3

A:

Q: 2. Suppose X is a continuous random variable with 0 sXS 2. Which, if any, of the following functions…

A:

Q: 24. Use what you know about an icosahedron to derive a formula for its surface area. What is the…

A: We have given three-dimensional shape icosahedron.  We need to derive the formula of surface area…

Q: Solve sec (x) dx

A: Solution :-

Q: A hexagonal pond with sides of equal length is embedded in a round concrete patio with a radius 5…

A: Solution :-

Q: Find the measures of the numbered angles in the kite. The figure is not drawn to scale. m21-D' (Type…

A:

Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

A:

Q: f(t) = cosh wt sin wt

A:

Q: 3. Solve the given initial value problem. y""-4y" + 15y' - 22y 0; y(0)= 1, y'(0) = 0, y'(0) = 0 y(t)…

A:

Q: 12. Let H be the hyperboloid where x² – y² +z² = 6. Find an equation for the tangent plane to H at…

A:

Q: The objective of this question is to identify the solution of the non-homogenous Ordinary…

A: There is a typo in the ODE given. The expression in the RHS should be        2a-12ea Given :…

Q: A. Write T if the statement is TRUE and F if the statement is FALSE, then justify your answer in…

A: Polar form of a complex number: In polar form, complex numbers are represented as the combination of…

Q: Evaluate (2х — у) dx + (х + 3у) dy. C: x-axis from x = 0 to x = 5

A: We can solve this using given information

Q: 511 Find the missing exponent. 57 5 Exponent only in the answer box %3D

A:

Q: the Laplace f(1) = (1 – x )u_(1) Ans.

A:

Q: In El Yunque rainforest in Puerto Rico, 116 male coqui frogs were studied. Biologists found that the…

A: The slope, m, of a line that passes through the points x1, y1 and x2, y2 is calculated using the…

Q: Consider the region R between the curves x = y^2 and y = x − 12. 1) Sketch R. 2) Find the area of R…

A:

Q: 3. Find the positive value of real parts of the possible values of z that satisfy the equation: zz +…

A:

Q: 5. Solve the initial value problem below for the Cauchy-Euler equation. ty"(t) + 10ty'(t) + 18y(t) =…

A:

Q: Consider the polar curves C1 :r = 2 – cos 0 and C2 :r = 2+2 cos 0, 0 E [0, 27). (a) Show that both…

A: (a) C1: r = 2-cos(θ)Put -θ for θr = 2-cos(-θ)⇒r = 2-cos(θ)       since cos(-θ) = cos(θ)⇒C1 is…

Q: Exercise 4.3.1. Suppose o : G → H is an isomorphism. Suppose g E G is an element such that g" for…

A:

Q: You will need to have some squares, you can cut out paper squares that are 1 inch by 1 inch, use…

A:

Q: A manufacture has been selling 1700 television sets a week at $390 each. A market survey indicates…

A: (a)  p-390390-377=x-17001700-1830      p-390=-110(x-1700) p(x)=-x10+560

Q: an = In(n + 1) – In(n + 2), n e Z>0 = NU {0}. %3D Justify whether the sequence {an} converges. If…

A:

Q: 6. Let F(x, y,z) with outward-facing normal vectors. Calculate ff, F -d S. (In case it is helpful, a…

A:

Q: f(1) = u (1) sin(t)

A:

Q: Let a, b eR with a < b. Assume that a + <b - for all n E N. Show that b- = (a, b). %3D n n=1

A: We will show  two sets are equal.

Q: y" – 4y" + 14y" – 20y/ + 25y = 0. Ans y = e"((c1 + c2x) cos(2r) + (cz + C4x) sin(2r)) - -

A: