) A football was kicked vertically upward from a height of 5 feet with an initial speed of 60feet per second. The formula h=5+60t-16r describes the ball's height above the ground, h, in feet, I seconds after it was kicked. By using this formula, calculate the ball's height 3 seconds after it was kicked and also calculate the ball's height 4 seconds after it was kicked. (i) Write the complex number in simplest form 3 + 4i 5 - i

Q: Find all complex fourth roots of -2-2/3 i. In other words, find all complex solutions of x = =…

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Q: What is the complex conjugate of 2 + 3i? What happens when you multiply this complex number by its…

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Q: Write the complex conjugate of the complex number 9 + 2i. Then multiply the number by its complex…

A: Given complex number is: 9+2i ; where i=-1 We know that the conjugate of a complex number a+bi is…

Q: Find the roots of the complex number: 27√3 27 2 2 i

A: Given

Q: Divide complex numbers: 3- 2i 2-

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Q: Find the square roots of the given complex number by using result (10) and then confirm the result…

A: Given:  1) 2-3i2) -2-i Find the square roots of the given complex number by using result (10) and…

Q: 32/-20° (b) (6 - j8)(4 + j2) 20 10+j24 -

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Q: Extract the square root of the complex number 8-6i.

A: We have to find the square root of the complex number 8-6i.

Q: What is the imaginary component of the complex number (7 - 2i)

A: z= 7- 2i

Q: Write the complex conjugate of the complex number 8 − 10i. Then multiply the number by its complex…

A: We need to write the complex conjugate of the complex number 8 − 10i. Then multiply the number by…

Q: complex number z equal to the square e raised to 1 plus i pi end raised is pure imaginary? Is it…

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Q: What is the complex conjugate of -6 + 4i?

A: Complex number is -6+4ithen complex conjugate is -6-4i

Q: Solve 3x3 + 2x - 1 = 8x2 - 4 in the complex numbersystem.

A: The given equation is 3x3+2x-1=8x2-4. Solve this equation as follows.…

Q: 3+4i 2i Simplify the expression to a single complex number:

A: We can solve the Complex number expression by using the technique of Complex conjugate . In the…

Q: Add the complex numbers. Express your answer in the form (a + bi). (8 - i) + (-3 - 8i) 123 Tutorial

A: Given two complex numbers      Adding real parts and imaginary parts of two complex numbers

Q: If z= 1 - 2i

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Q: What is the complex conjugate of 2 – 3i ?

A:

Q: Derive formula  for the product and division of two complex number?

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Q: What is the complex conjugate of the root æ 3i? O a = -3i

A: if a+ ib is the complex then its conjugate root is a-ib

Q: Is the sum of a complex number and its complex conjugate a real number?

A: Consider the given statement as "Is the sum of a complex number and its complex conjugate a real…

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: Find the quotient (2 - 3i)/(3 + 4i) , and express the result in the standard form of a complex…

A: We have given quotient 2-3i3+4i Then,…

Q: Without solving, determine the character of the solutions of the equation in the complex number…

A: Consider the provided equation, 2x2+3x=4 Without solving, determine the character of the solutions…

Q: R5 cis 1

A: Solved below

Q: To add or subtract two complex numbers, simply combine _______ terms.

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Q: Evaluate (3+5i)(−2−2i)and express as a simplified complex number.

A: We have to evaluate (3+5i)(−2−2i)

Q: Convert to complex form z3 = 8

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Q: Explain geometrically or algebraically how magnitude of a complex number is equivalent to…

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Q: Plot the complex number and its complex conjugate. 9 - 6i Imaginary axis 10- 8

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Q: Show that the conjugate of the sum (product, or quotient) of two complex numbers, z1 and z2 , is the…

A: Let z1 = a+ib and z2 = c+id be two complex numbers. Then we get, Conjugate of z1 is = a-ib Conjugate…

Q: Without solving, determine the character of the solutions of the equation in the complex number…

A: The general equation of quadratic equation is given as ax2+bx+c=0 .It is discriminant is given as…

Q: 2. It is easier to find the power or the root of a complex number if the numnber is written in form.

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Q: How do you add two complex numbers?

A: Suppose two complex numbers a=x1+iy1, b=x2+iy2

Q: 3i divided by its conjugate? What is the quotient of the complex number 4 品一 Do

A: Topic : division of complex number

Q: Plot the complex number. 6V2 - 6/2i

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Q: How do I write this complex number in standard form?

A: Given that: -7.-14

Q: What is the real and imaginary parts of the complex number -5/6i

A: z = - (5/6)i can be written as, z = 0 + (-5/6)i

Q: = - z. - z.

A: We have to solve given problem:

Q: Solve 2x2 - x + 4 = 0 over the set of complex numbers.

A: Given that, 2x2-x+4=0

Q: Solve 3x2 - x + 4 = 0 over the set of complex numbers.

A: Given : 3x2 - x + 4 = 0   Use the quadratic formula to find the solutuons.   x = (-b ± √b2 - 4ac)/2a…

Q: What is the first step in writing the complex number -1 + i in trigonomet-ric form?

A: Consider z=x+iy is any complex number, so polar form is, z=x+iy=rcosθ+isinθWherer=x2+y2θ=π-tan-1yx…

Q: Solve the equation in the complex number system. 18x +1 = 6x What is the solution set? (Simplify…

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Q: solve the given equation 2z2+12z=4 over the complex numbers. Present exact values of the solutions.

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Q: How do we find the nth roots of a complex number?

A: Given:  root of complex number

Q: Determine the absolute value of the complex number 2 - 3i.

A: Absolute value of complex number z=a+ib is represent by z and  given as z=a2+b2