Solve the initival value problem: t(t2 +1) 1 r(0) 3r3 V4 r = Hint: Recall that even roots only take in nonnegative numbers and produce nonnegative numbers. Is r(0) positive or negative? Submit answer

Q: Which one of the following is a root of √2x1-x+=0? O x = 5 x = 1 O x = 7 x = 3

A: We have to find the roots

Q: What does Descartes’ Rule of Signs tell you about the real roots of x3 – x2 + 1 = 0 ?

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Q: C. (I +3A)−¹ = 2 1 0 -1

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Q: Given the quadratic expression p(q) = 2 − r² + 4q − 4 − 7q + 8q² − 10r, identify and state the…

A: Answer:  a=8b=−3c=−2−r2−10rExplanation:Step 1:

Q: Find all the real roots of p(x) = 3x3 – 14x? – 125x + 532 19 given that one of the roots is = 3 19 X…

A: We can solve the problem by doing the multiplication at first.

Q: In the diagram, ABDE is a rectangle, ABCD is equilateral, and AD is parallel to BC. Also, AE = 2x…

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Q: Given x > 0 and y > 0, select the expression that is equivalent to 36x³y8

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Q: . Prove that the equation r – x²+2x +3 = 0 has at least one real root. State the theorems or the…

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Q: What is the multiplicity of the root r = 2 for the polynomial y = x³ – 3? + 4? O 2 O 4 O 1

A: Given polynomial is, y=x3−3x2+4

Q: 9. (a) Prove that v10 is irrational. (b) Use part (a) to prove that v2 + V5 is irrational.

A: To prove the given statements.

Q: 9 Use Remainder Theorem to find each function value. a) f(x) = 6xª – 5x³ + 8x – 11 - b) Find f(4)…

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Q: The square root property turns (x+3) =16 into x - 3 = 4. O True O False

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Q: Let r₁ and r2 be two different roots of the equation ax² +2bx+c = 0. Without solving the equation,…

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Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.