Q7 Given that z = -1+3i. (i) Find z. (ii) Hence, plot the z in Argand diagram and find the modulus and argument of z.

Q: (b) Show that i³i is real, even though i or 3i is not.

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Q: dr secx+1

A: Given integral ∫dxsecx+1. The objective is to evaluate the integral. First simplify the equation…

Q: I found the two values of t, but I’m not sure what to do from there

A: We are given equation for G(t)We can find derivative

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Find the Principal Value of (-2)i/π.

A: We find the Principal Value of (-2)i/π.

Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: Simplify. [(20)²]³ 8i Enter your answer in the box.

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Q: 4 (2+ VT)5 5. Calculate 0.

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Q: 6-36a+6 Find ( cos t). Ana. (+1)4

A: NOTE: Refresh your page if you can't see any equations. . take Laplace use the Laplace rule

Q: A researcher claims that the proportion of smokers in a certain city is less than 22%. A random…

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Q: O Ex press the following in the Rorm atib : (i) (l+i) (1-2i) I+ 3i 34i (1-i)? 2+Bi 2 (ii) 3+4i 2 -4i…

A: Complex number: A number of the form z=x+ιy, where x and y are real numbers, is called a complex…

Q: (1 + 1)e dr 5.

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Q: Find the reciprocal of (1.5 + j2.5)

A: The given complex number is 1.5+j2.5 This can be rewritten as 1.5+2.5j The reciprocal of the given…

Q: Find the real values of x and y such that (x + iy)2 = -8 + 6i.

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Q: 11. In the figure at the right, sphere O with radius 15 mm is intersected by a plane 3 mm from the…

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Q: The i-component of +t is

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Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: 4. Express the greatest common divisor of the following pairs of polynomials as a combination of the…

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Q: Find the real numbers x and y if  2x –i = 6 + ( 1 – y )i

A: Given that  2x –i = 6 + ( 1 – y )i Find the real numbers x and y if

Q: f(x,y)=21 (x+y) x=1,2,3, ; y=1,2 other situations

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Q: 7x2-6x+1 = m(x – 2) + n(x – 1)(x + 3) + p(x – 5)(x+ 2)

A: We know that a second degree polynomial has the form fx=ax2+bx+c, where a, b and c are constants…

Q: b. 3+V5-x 3I

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Q: Hypertension A pilot study of a new antihypertensive agent is performed for the purpose of planning…

A: Given Information: Sample standard deviation is 8. Sample size n=21. Significance level α=0.05 (b)…