-z Q2. In the circle |z| = 1, Find the upper bound for 9z4+3z²+2l

Q: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: Find the length of the arc of the parabola x2 = 4y from x = -2 to x = 2. А. 4.3 В. 4.6 С. 4.9 D. 5.2

A: we have to find the length of the arc of the parabola x2=4y from x=-2 to x=2

Q: find the are bounded by the given curves y^2=2ax,y^2=4ax-a^2

A: The two equations represent parabolas. First both parabolas will have origin as vertices. The region…

Q: Find the length of arc of the curve 9y^2=4x^3 from the origin to the point (3,2 squareroot of 3)

A: The arc length of a curve y=f(x) from x=a to x=b is defined by the integral L=∫ab1+dydx2dx.

Q: Find the maximum and minimum values of the function ƒ(x, y) = 3x + 4y on the circle x2 + y2 = 1.

A:

Q: (c) Evaluate L A – 423 + 4z² dz where C is the circle |z – 2| = 1. , z4 – 4z3

A: Given,       ∮C4z+2z4-4z3+4z2dzwhere C is the circle z-2=1

Q: Q4) Compute f z'dz, where C is the path formed by the line segment from -3 to 3 and the semicircle…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: ) Find the Extreme values of f (x, y) = x³ + y² on the circle x² + y² = 1. %3D

A: To find the extreme values of the function f(x, y) =x3 + y2  on the circle which is the…

Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

A:

Q: 5. Determine the value(s) of k such that the circle x² + (y – 6)² = 36 and the parabola r? = 4ky…

A: we have to find the value of k. the solution is following.

Q: For what minimum integer value of a, will the line ax+(a+1) y =18 www (a> 0) have two intersection…

A: If the line cuts the circle at two points then given line is secant line of the circle .The…

Q: 25 Which of the following is the shortest distance from the point to the curve y = v5x?

A: We have to find the expression of distance using parameter.

Q: dz Find an upper bound for 9c z4 –5z²+6 dz, where c is the circle |z| = 4.

A:

Q: Find the extreme values of ƒ(x, y) = x3 + y2 on the circle x2 + y2 = 1.

A:

Q: Use Green's Theorem to find (8y + x) dx + (y + 2x) dy, where C: The circle (x - 4)2 + (y-3)2 9 541…

A:

Q: Find the extreme values of ƒ(x, y) = xy on the circle x2 + y2 = 1

A:

Q: Find the length of the following three-dimensional curve r(t) = (1+ 3t,4 - 3t, – 6 + 2t) , for 1sts7

A:

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: Q2 Sf(2)d2, where Sfrzidz, f(2) =(2+2) and c is Evaluate the circle 2=2e

A: C traversed  counter clockwise. If clock wise then value will be negative.

Q: Q2) Let the equation of the circle is given as x² + y² + 2x – 4y – 11 = 0. Find the dis between the…

A:

Q: Determine the value(s) of k such that the circle x²+(y-6)²=36 and the parabola x²=4ky will intersect…

A: Consider the provided equations, x2+y-62=36  ....... (1) x2=4ky ...... (2) Determine the value(s) of…

Q: a) Find the Extreme values of f(x, y) = x³ + y² on the circle x² + y² = 1.

A:

Q: + 4z 53. Use (7.8) to evaluate dz around the circle |z – 2i| = 2. - z4 + 8z2 + 16

A: Given,  ∮z3+4zz4+8z2+16 dz  around the circle z-2i=2

Q: 4 - Which of the following is the shortest distance from the point (5, 0) to the curve y = V2x ? 7…

A:

Q: 2z-1 Find the upper bound of where C is the right half of the z* +5z +4 circle |z|= R, R>2

A: Given, I=∮c2z2-1z4+5z2+4dz, z=R, R>2 Now, fz=2z2-1z4+5z2+4 For singularities of fz, we have,…

Q: Evaluate f. y3 dx - x3 dy where c is the circle x2 + y2 = 4

A:

Q: 3. Use the Secant method on the circle function (x + 1)²+(y – 2)²= 16 to %3D find the intersection…

A:

Q: z+2 Evaluate. z2-5z+6' where c is the circle |z| = 2.

A:

Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

A:

Q: 22=xy represents the origin. ) Prove that the equation with vertex at

A:

Q: Evaluate f.y ds where C is the upper half of circle x? +y² = 9, traversed in the counterclockwise…

A:

Q: -dz where C is the circle |z|=3. (z+ 2)* Evaluate

A:

Q: Consider the circle with two intersecting chords. D x+2 x-1 x+5 Solve for x. 1.

A:

Q: If the radius of the circle x2+y2-8x+10y+k=0 is 9. Then find the value of K

A:

Q: 2. Find the area of the smaller loop of the curve r = = 3( 1- 2cose)

A: We will solve the following

Q: Find the exact length of the loop of the curve = 3t – t°, y = 3t2 -

A:

Q: Find the upper bound of |[∫c ez^2 + 1 / (z - 1)2 + 5] dz|, where C is the circle |z - 1| = 2.

A:

Q: The equation of a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the…

A: Consider the equation of circle in xy-plane given by x2+4x+y2-10y=20 If the line x=k intersect the…

Q: 2z-1 Find the upper bound of e 5z +4 where C is the right half of the circle z= R, R>2

A: Factorize the denominator of the function inside the integral z4+5z2+4 as z-2iz+2iz-iz+i. From this…

Q: Let G₁ be z = 6-√√36 - x² - y² and G2 be the upper nape of x² + y² - 3z² = 0. If S is the circle…

A:

Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³– 81=0 B [1+ (y')²]²- (» )²-[1+…

A:

Q: Find the maximum and minimum values f(1, y) = zy takes on the circle %3D r + y² = 12.

A: Lagrange multipliers method: First solve the following systems of equations: ∇fx,y=λ∇gx,y. The…

Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

Q: Find the shortest Distance d faumthe point to the plane X+y+Z=8.

A: Let's find.

Q: 2x + 2y + 16x + 4y+ 26 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A: We will find  the center of the circle (h,k )and radius (r) in the following step.

Q: 8. centered at Which of the following equations represents the circle with radius F 16x2 + 16y2- 16x…

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.