True or false If an equation (f(x))²=(g(x))² is solvable, i.e. it has at least one real solution, then the equation f(x)=g(x) is also solvable. This is a true or false and can only be solved using basic algebra

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A:

Q: 3. A quadratic has an axis of symmetry of x = m, and the quadratic has an x-intercept at (m, 0). The…

A: Standard form of a basic quadratic curve is y=x2 Given that the axis of symmetry is at x=m That…

Q: lim 1-26 2 (2 + 3n-4n²) (1-2n + 3n²)

A:

Q: Cartesian equation of z-i=|z| is 1 -2 y° - 2y= - 1 y= y-2y= 1

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the limits in Exercise

A: (a) Given that, limx→-2+x2-12x+4

Q: Bernoulli equation can be solved by a method similar to the solution of a O A. Exact DE O B.…

A: Question is solved.

Q: lim x →∞ (bx+a)²(ax+b)² (ax²+bx+1)²

A:

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A: First find the complementary function C.F. for the D.E. Consider the auxiliary equation A.E to…

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A:

Q: Elimination of arbitrary constant 1. x^2y= A 2. (x-a)^2 + y^2 = a^2

A: The given equation are x2y=A and x-a2+y2=a2 the given equation are in implicit function form to…

Q: Cartesian equation of z+1=3 is x² + (v + 1)² = 9 0 (x +1)2 - y² = 9 o (x-1)- +y² = 9 0 (x + 1)² + y²…

A: Any complex number z is of the form z=x+iy . where x and y are real number and i is squareroot of…

Q: [5(x + Ax) + (x + Ax)² – 1] – [5x +x² – 1] f'(x) = lim %3D Ax→0 Ax

A: To find the value of f'(x) when lim∆x→0, first simplify the function then substitute the limit. If…

Q: y" + 9y = fe +6

A:

Q: 4. lim ¥3-ェーv3 エ 5. lim 2r2 – 3z+7 3ェ+ 3-3 エ→ 12 – 3r+2 6. lim エ→2 +ェー6 エ→2

A:

Q: CALCULUS 1 DIFFERENTIAL CALCULUS x2-8x+7 5. y x2+4 dy dx

A: D/dx(xn) = n.xn-1

Q: Find the general solution of x'1 = x2 - x1 + t, x'2 = x2.

A: The given differential equation are - x'1 = x2 - x1 + t   and   x'2 = x2 We can re-write the…

Q: indeterminate coefficient method x^2y´´+2xy´-2y=x^2      y(1)=0      y´(1)=1/2

A: We have to find the solution for the differential equation…

Q: Solve for Elimination of Arbitrary constant given problem is x^2y=1+cx c is the arbitrary constant

A: To eliminate the arbitary constant.

Q: Constrained optimization Does problem min (x2+ 100)2 + 0.01x12, subject to x2 - cos x1 > 0, have a…

A: Step:-1 Given that min  x2 +1002 +0.01 x12   subject to   x2 -cosx1≥0  Take fx1, x2 = x2 +1002 +0.01…

Q: Cartesian equation of z+1=3 is o (x + 1)2 + y2 = 9 o(x-1)2 +y2 9 ox? + (v + 1)² = 9 o(x+1)2-y2 = 9

A:

Q: Elimination of arbitrary constant y = 2x - c1e-x - c2ex

A: The given solution to the DE is: y=2x-c1e-x-c2ex             .......(1) Now differentiate the above…

Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in…

A:

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A: We are given the second order linear non homogeneous differential equation and its particular…

Q: 3.x1 + 2x2 6.x1 + 2x2

A: Solution: The equation can be written in matrix form

Q: The Secant method of finding roots of nonlinear equations falls under the category of a (an)…

A:

Q: y" + 2y' + y = 2e

A:

Q: Discuss the cases of Gaussian elimination method.

A: Gaussian elimination is an algorithm to find solution for linear system of equation that is Ax=b. In…

Q: lim 2-0 |3x-1| + 3x + 1| I

A: Given problem :- limx→03x-1+3x+1x

Q: lim  (2x+x1/2) /(3x2-1)1/2  ? x--> infinity

A:

Q: 2n -1 (i) lim = 2

A:

Q: lim x-3 x² -9 b. e Not exist

A: Given that limx→3x-3x2-9We need to evaluate the above limit

Q: Cartesian equation of z+1=3 is o (r +1)2 – y² = 9 o (r- 1)² + y² = 9 o r² + (v + 1)² = 9 , (r + 1)²…

A:

Q: 3x +1 lim 2 - 2x +4 I-00

A: Given,          limx→-∞3x+1x2-2x+4

Q: (e) State the definition of a stable polynomial, and give a differential equations or control theory…

A: In the context of the characteristic polynomial of a differential equation or difference equation,…

Q: 3,-2 + 2 0 a + 2, - Sa, 0. by Cramer's rule 4+ + 2 6. Solve

A: To solve: The system of equations using Cramer's rule 3x1-2x2+2x3=0x1+2x2-3x3=04x1+x2+2x3=0

Q: 12 -9 V5r2 – 21 (а) lim I+3 1 + 2x – 15 (b) lim 10-т

A: We need to find following limits which can be calculated by simplifying the expressions and then…

Q: (2+ v3) V5 -1 Without using a calculator, express in the form a+bV5,where a and b are constants to…

A:

Q: f'(x) = lim [5(x+Ax)+2]-[5x+2] %3D Ax→0 Ax

A: Given: f'(x)=lim∆x→05(x+∆x)+2-5x+2∆x

Q: Cartesian equation for x=5+11cos(-t) y=-2+11sin(-t)

A:

Q: Cartesian equation of z+1 =3 is ,(r – 1)² + y² = 9 (x + 1)² + y² = 9 o (r+1)2 – y2 = 9 ox² + (v +…

A:

Q: general solution of X' = AX

A:

Q: 2) We consider the fixed point method where Xn+1=g(xn) = Xn+1 Verify the condition of fixed point…

A:

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A: According to the given information, it is required to find the general solution of the given…

Q: Addition of Funetions: 1. f (x) = 45x - 79; g (x) =-89x - 40 f (x) = 135x2 - 15x + 32; g (x)= -45x2…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Cartesian equation of z+1=3 is x² + (v + 1)² = 9 0 (x+1)2 - y2 = 90 (x - 1)2 +y² = 9 0 (x + 1)² +y²…

A: If, , then .

Q: Consider the problem { ydu/dx-4xdu/dy=0 and U|c=x} where c={(x,-2x);x<0}. Discuss the local…

A: Because u is a function of two independent variables x and y so we will take partial derivatives of…

Q: Reference

A:

Q: Calculus 1. Consider the optimization problem min –r - y subject to 2r + ry + 2y° = 12. Which of the…

A: Given: Consider the problem of optimization minxy-x2-y2 with respect to 2x2+xy+2y2=12 Which of the…