quadratic equation

Q: find the genecol solution of Cauchy EuLer equation

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Q: Formulate the rational function that has a domain of  { x | x≠5}and range of { y |y≠6} and passes…

A: We need to find a rational function such that it will not be defined for the value x=5 and whose…

Q: 3. Express as a polynomial. Arrange your answer from term with highest degree to lowers degree *…

A: 3. (3x3+4x2-7x+1)+(9x3-4x2-6x) open all the brackets =3x3+4x2-7x+1+9x3-4x2-6x rewrite or arrange…

Q: POLYNOMIAL of degree 4 that has zeros 3,0,1,-5

A: We need to find the polynomial of degree 4 that has zeroes 3,0,1,-5

Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

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Q: A polynomial equation with real coefficients has roots at x = minimum degree of the polynomial…

A: Given Data: Roots of the polynomial are: x=±1, 2i The minimum number of degree of a polynomial…

Q: 1. Solve x²-3x²10x + 24-0. Show at least one long division process.

A: Let P(x)=x3- 3x2 - 10x+24 P(2)=23- 3(2)2 - 10(2)+24=8-12-20+24=32 When x=2, p(2)=0. Thus x-2 is a…

Q: Form a polynomial equation with integral coefficients whose only roots are given -4/3,2i,-2i

A: Since, -4/3, 2i, -2i are the only roots of the required polynomial equation, so (x+4/3), (x-2i) and…

Q: the pace factor of a random man was recorded to be 0.76 meters per step. if there is 2.7% margin of…

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Q: Roots of 1, 2, -4 y-in

A: Polynomial: We need to find a polynomial whose degree is even. Roots are 1,2,-4 y=intercept is -36…

Q: The real solutions of the given equation are rational. List all possible rational roots using the…

A: The real solutions of the given equation are rational. List all possible rational roots using the…

Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 2i as zeros.…

A: We know that "If the polynomial has only real coefficients, then any complex roots must occur in…

Q: If you are given the roots of a quadratic function, what other information is needed to determine…

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Q: Fin ding a Polynomial Equation biven the roots 1)-3,5.-4 2.) 0,-S, -1 )-4. -3

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept…

A: Given that:                    A polynomial with:   Even Degree   Roots of 1, 2, -3   y-intercept of…

Q: What theorem is used to justify the method of solving separable equations?

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Q: Form the polynomial equation with integral coefficients whose only roots are given. 3,4,2

A: if a is the root of the polynomial then (x-a) will be the factor of the polynomial  And we can write…

Q: 7. Find a polynomial of degree 3 with zeroes -3, 2 and 3, passing through the point (0, 12).

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Q: The sum of one positive number and the square of another equals to 21. Choose the numbers so that…

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Q: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: Which theorem states that if = 4+ v2 is a root of a polynomial equation, then a = 4 – v2 is also a…

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Q: Form a polynomial equation with integral coefficients whose only roots are given 1/2,square root of…

A: To find the polynomial for given roots Roots are 1/2, √2 and - √2

Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

A: Given: Let us determine the polynomial equation of the least possible degree with integral…

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1,4 for which f(-2) =18

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Q: 2 of 2 SECTION 3.6 Solve the polynomial inequality and graph the solution on a number line, Express…

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Q: 3.6 Determine the positive root of the polynomial x3 + 0.6x² + 5.6 – 4.8 . (a) Plot the polynomial…

A: Newton's and Secant method are used to approximate the roots of polynomials.  Using newton's method,…

Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

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Q: Give a polynomial equation with integral coefficients that has the following roots. ±2 , ±3

A: To give a polynomial equation with integral coefficients that has the following roots.±2 , ±3

Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: We have fx=4x3+3x2-8x-2 The initial interval is 1,2 The error tolerance is 1%=1100=0.01 So, we need…

Q: The real solutions of the given equation are rational. List all possible rational roots using the…

A: The real solutions of the given equation are rational. List all possible rational roots using the…

Q: り -3,-4,5 5.) 2 3 -2,3 3 (6.) - 1 -s.-1 ー9 し 一2

A: When all coefficients of a polynomial are integers, the polynomial is referred to as a polynomial…

Q: Explain theorem of Wronskians of Solutions?

A: To Find : Define the Theorem of Wronskians of solution

Q: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,4) and…

A: Let the cubic polynomial function be fx=ax3+bx2+cx+d. It is given that the function f(x) has…

Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Q: Does there exist a polynomial of degree 4 with real coefficients that has zeros i, 2i, 3i and 4i?…

A: Given statement : Does there exist a polynomial of degree 4 with real coefficients that has zeros i,…

Q: Find two positive integers such that the sum of the first number and four times the second number is…

A: Given: The sum of first number and four times the second number is 1000. The product of two numbers…

Q: Form a polynomial equation with integral coefficients whose only roots are given. 1/2,-2/3,1/3

A: Let P(x) be the polynomial whose roots are X1 = ½ , X2 = -2/3 & X3 = 1/3

Q: how do I Write a polynomial function of least degree with integral coefficients that has the given…

A: If k is a zero  of the  polynomial p(x)  then (x - k) is a factor of  p(x)

Q: Express the rational function as a sum or difference of two simpler rational expressions.…

A: Given partial fraction decomposition

Q: A car move with an initial velocity 60 km/h, then accelerate at 7000 km/h2 along a straight road.…

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Q: Example 2.19. Find a real root of the equation x³ - 2x - 5 = 0 by the method of false osition…

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Q: graph

A: Please refer to the image below

Q: The secant method of finding roots of nonlinear equations is categorized as a (an)_____ method. O…

A: To find- The secant method of finding roots of nonlinear equations is categorized as a (an)…

Q: Find a polynomial of degree 4 with integer coefficients that has -2 as its only real zero and (1/3)i…

A: A polynomial of degree 4 with integer coefficients that has -2 as its only real zero. Which implies…

Q: Solve to 5 significant figures using regula falsi method with answers of (0,1) intervals:…

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Q: Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the…

A: Zeros of a polynomial: Let the other zero be kThen the equation of the polynomial…

Q: 8. Find the (only) equation of a polynomial p(x) th • Root at 0 of degree 1 • Root at 1 of degree 1…

A: Let the leading coefficient = a So, P(x)=ax(x-1)(x+3)2 Given that P(2)=5  Using that we find a

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.