3. (a) This is a question on the largest rectangle that can be inscribed in a semicircle of radius r as shown in Fig. 4. -T 2x y Area A Figure 4 (i) Show that the area of the rectangle A is given by A = 2√√₁²-² 2 I + y = r (x,y) Page 9 20 (ii) Determine the dimensions r and y in terms of the radius r so that we have maximum area. →x

Q: finish the chart and graph please

A: Draw a graph.

Q: 2i(2-i) lim z² + 1 - 1 2i 1

A: Solution: Given limz→i2iz-iz2+1 We have to find this limit.

Q: Show your work clearly to receiv 1. For each of the following angles a) Draw the angle in the…

A: 1. a) To draw the angle=135° in the standard positions:

Q: 8. (a) An isosceles triangle T has two sides of length d and the included angle between these sides…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Prove that any point on the ellipsewhose foci are (-1, 0) and (7, 0) and eccentricity is…

A: The foci are (-1,0) and (7, 0).          The distance between the foci is 2 ae = 8 or ae= 4.…

Q: Please circle the answer ty!

A:

Q: iv) in complex number z3. (7)? = |z|?. z

A: Complex number: A complex number has the form z=x+ιy, where x is called the real part and y is the…

Q: 17. y" + 3y" + 3y + y = 0, y(0) = 0, y'(0) = 1, y" (0) = 0

A: When the roots of  auxiliary equation are same:

Q: (a) 10. Use the Pythagorean Theorem to find x in each of the following: 10 di absiro 13 (C) 5 13 12…

A:

Q: If surface are of a cuboid is 346 what is the area!

A: We know the surface area of cuboid is s=2lw+2lh+2hw Given s=2lw+2lh+2hw=346

Q: In the figure, a triangle is to be formed by drawing a line segment of length a from (4, 3) to the…

A:

Q: Question 3: What is true about each of the pairs of corresponding line segments A and AE BC and BC,…

A: We have to find what is true about each pairs of corresponding given line segments.

Q: E Determine the length of y = 8(1+ x)7,8 < y s 64. %3D

A:

Q: cos x D. Explain why we cannot apply L'Hôspital's rule to evaluate lim x-0

A: Given query is to find why L'hospital can not be used.

Q: i fe 198 - Evaluate 8 dahere C is the circle |z+ 9i| = 8+5, 0 < 60 <.2t z+9i (z+9i)3

A:

Q: In AABC, AD is an altitude and an angle bi sec tor. ABC =6z-5 and LADB = 4x + 22. Find

A:

Q: 1. Solution: = 4 4x = 4(2) 2 4 x = 2 4 2. Solution: x² = 4(10) x2 = 40 4 x = V40 10 x = 2/10

A: Explanation of the answer is as follows

Q: Question 2 (1 point) The concavity of y = x³ − 2x + 1 at x = 1 is? A) Undefined B) Concave DOWN OC)…

A: We can determine the concavity at  x = 1 for the function  y = x3 - 2x + 1 by examining the second…

Q: Find the arc length of y = ²√x(3-x) for 0 ≤ x ≤ 3. - Express your answer in decimal form rounded…

A: Given problem:- Find the arc length of y = (1/3)√x(3-x) for 0 ≤ x ≤ 3.

Q: 3. Use the distance formula to prove that the point (4,2) is on the parabola x = Sy. Prenared hu

A:

Q: If A(x₁, y₁), B(x, y₂) and C(x3, v3) are the vertices of triangle ABC and x+y=x+y=x+y. then show…

A:

Q: 8. y(4)-y=0

A: