(a)
To prove:that theone equation in different ways using different given method gives a same solution.
(a)
Answer to Problem 124E
Both solutions are same and equal.
Explanation of Solution
Given:
Method 1:
Substituting method
Method 2:
Direct solving method.
Concept used:
The First it can solve the given equation through middle term factorization by taking common factor and if it doesn’t get factorize then use discriminant method to solve the given
Calculation:
Method 1:
Consider the
Method 2:
Squaring both side:
Hence both solutions are same and equal.
(b)
To prove:that the one equation in different ways using different given method gives a same solution.
(b)
Answer to Problem 124E
Both the methods give same solution.
Explanation of Solution
Given:
Method 1.
Get a common denominator;
Use quadratic formula:
Method 2.
Use direct quadratic formula:
Concept used:
The First it can solve the given equation through middle term factorization by taking common factor and if it doesn’t get factorize then use discriminant method to solve the given quadratic equation where
Calculation:
Method 1.
Get a common denominator;
Use quadratic formula:
It can be written as:
Method 2.
Use direct quadratic formula:
Let
Hence both the methods give same solution.
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
- (b) / dx - 2 +C 1. Use the Fundamental Theorem of Calculus to solve the following: (a) (x³ + 1) dx 27 4 (b) fo e3x dx 3 - (3-x) (³JE) x+ E +(SAN) P = 2. Beth enjoys skydiving and is willing to pay p dollars per jump for x jumps, where D(x) = 7.5x260.5x + 254. Suppose the supply function for Aero Skydiving Center is given by p = S(x) = 15x + 95. Use these functions to answer the following questions. bodo gniwollo pa to so (a) Find Beth's consumer surplus if she makes 2 jumps. $81.00 6arrow_forward52 Question 5 If csc(x) = 3, for 90° < x < 180°, then sin(x/2) = = cos(x/2) = tan(1/2) = Upload Choose a File Question 6 3 pts 3 pts You have one type of candy that sells for $2.30/lb and another type of candy that sells for $9.70/lb. You would like to have 66.6 lbs of a candy mixture that sells for $8.70/lb. How much of each candy will you need to obtain the desired mixture? Upload Choose a Filearrow_forwardQuestion 1 Let f(x) = 15 and g(x) = +5. Find the following functions and simplify your answers. f(g(x)) = g(f(x)) = Upload Choose a File Question 2 Find the largest value of x that satisfies: log4 (x²) - log4(x+2)=6 Upload Choose a File 3 pts 3 ptsarrow_forward
- 2 D Question 3 D For the right triangle below, find the measure of the angle marked with question mark. Figure is not to scale. Upload Choose a File Question 4 <--? 11 Solve for t, 0arrow_forward5. Submit answer Practice similar X Compute T2(x) at x = 0.6 for y = e and use a calculator to compute the error le-T2(x)| at x = 0.2. T2(x) \e - T₂(x) = Submit answer Answers Answer II 0 @ T E R 5 do The Weather Channel DELL F7 FB D F G H UP Score 8 B N Marrow_forwardASAP 1arrow_forward4. Su Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = 4, f"(0) = -12, f""(0) = 5 f(x) = +... Submit answer Next item Answers Attempt 7 of 7 Answer ][ 0 T The Weather Channel DELL UP P Score F4 F5 F6 F7 F8 % A 5 6 &arrow_forwardH.W Ex find the solution by using Bernoulli method of D.E? dy/dx4y = xy³/2arrow_forwardby series find the Solution U (x) = x²- X³+ x²+'S (1+x+) u(t) st 0 (2) u(x) = x's (6x-2+) u(t) St U (x) = x + 2 {xt 41t) dt u(x)=x+2arrow_forwardConsider the Boundary-Initial Value problem J²u и ди 4 0 0 მე2 It u(0,t) = 0, 0, u(6,t) = 0, t>0 u(x, 0) = x(6x), 0 < x <6 This models a heated wire, with zero endpoints temperatures. The solution u(x,t) of the initial-boundary value problem is given by the series u(x,t)-b, sin П3 n=1 (b, sin ((2n − 1) — x) e-cnt where bn ☐ and Сп ☐arrow_forward• -7 10 1.0 (2 - x) for 0 < x < 2, Let f(x) = for 2< x < 6. Compute the Fourier cosine coefficients for f(x). Ao An Give values for the Fourier cosine series C(x) = = Ao • C(6) = = C(-1) = = C(11) = + n=1 IM 8 An cos пп (π x ). 6arrow_forwardThe Fourier series of the function is given by where со Сп and bn || f(x) = {- 9x if π < x < 0 -4x if 0 < x < π f(x) ~ CO n=0 (Cn cos ((2n+1) x) - Σ bn sin (nx) n=1arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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