Write the expression in rectangular form x + yi and in exponential form rei COS 5 — + i sin 9 3 55] 9 The rectangular form of the given expression is and the exponential form of the given expression is. (Simplify your answers. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.)

Q: -4+8i/-9+3i

A: Given: -4+8i-9+3i To find: The simplified form of the given equation.

Q: Earth. Find the approximate number of water molecules on the planet.

A: As per bartleby guidelines we only give first question answers.

Q: Establish the identity. (csc a- sec B) +(sec ß+ csc a)( sec B- csc a) = -2 sec B(csc a- sec B)…

A:

Q: (-3-15)(-1.23+/2.1)

A: The given problem is to find the principal value of the given complex number. Given complex number…

Q: (-4+i)-(5-7i)² Simplify 3i

A: We use i2=-1

Q: 7) (2+i)? (-5-14 i)

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: 4 -7 A = [1 =]] 2-3 Find the inverse of A. Let A =

A: Given  Let A=4-72-3

Q: Evaluate -1 8i+9 i=1n²

A:

Q: Simplify the numerical expression. Give your answer in reduced form.  2/3 x 3/2

A:

Q: 31) Simplify and express with positive exponents: -8y3

A:

Q: 22 Perform the indicated operations (a) (4-2i) (4 + 2i) (b) (2 + 4i) ²

A: A) (4 - 2i) (4 + 2i) We know the formula (a+b) (a-b) = a2 - b2 So, expiration becomes, = 42 - (2i) 2…

Q: 5 √O r=1+3 cos(30) (-/-) r= - r = 5 sin V r = 0 sin(0) a. + T b. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a 5. 9 Q

A: Consider the polar equations 1.

Q: Find the exact value of the following expression. sec (-840) sec (-840)⁰ = (Simplify your answer,…

A: Sec(-840)°

Q: Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 -…

A: Given 2-3i1-i-3-i3+i

Q: erform the following ope (6+3i)(5-2i) a. (3i)*

A: # As per the guidelines we are entitled to solve one question at a time. Please resubmit the other…

Q: Multiply/Divide A. (4-2i)/(-2 -3i)

A: Multiply/Divide A. (4-2i)/(-2 -3i)

Q: complex numbers in exponential form.

A: The given question as belonging to the complex number in which we have to find the exponential form…

Q: 34x+1 = 67

A: 34x+1=67

Q: Evaluate (1+ i)6 + (1 – i)³. Select one: Oa. -2 – 10i O b. 2- 10i OC. - 2+ 10i O d. 2+ 10i

A:

Q: Find the exact value of the following expression. tan (- 855)° ..... tan (- 855)°: (Simplify your…

A: Please refer the attached image for complete solution.

Q: Find the quotient. Write the answer in standard form. 5+4i 3+6l

A: