2- Explain with aid of sketch how to measure the distance AB in the following cases: a- There is an obstruction between point A and point B.

Q: 18 22 29 3. a. Segments of Chords Theorem b. Segments of Secants Theorem C. Segments of Secants and…

A:

Q: In the given figure, CF and BF are tangents to crcle A and intersect at F, a point on circle E. BF…

A: Given Figure:

Q: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

A:

Q: Evaluate the line itegral where C is the upper half of the circle z +y = 3.

A:

Q: Use Picard's theorem, find the largest interval for which the IVP y y(0) = 1, %3D %3D x² +x – 6' has…

A: Given that, y''=yx2+x-6,y(0)=1 Let F(x,y,y')=yx2+x-6 Then, ∂f∂y=1x2+x-6 Since,…

Q: 5. Let C be the circle x +y} =4_which is positively oriented. Let C, be the upper half-circle C1 =…

A:

Q: Evaluate | dz where c is the circle z| = 2. z (z+4)

A:

Q: A________ is the set of points P in the plane such that the ratio of the distance from a fixed point…

A: The conic section is known as the set of points, in which the curve of any of the conic, that are,…

Q: What is the image of the vertical strip  {zϵC:−1<Re(z)<1} under e^z

A: A  conformal map is a one-one and onto analytic map. So, Re(z)=1 to a point. Here f1 is defined by,…

Q: sketch the interval (a, b) on the x-axis with the point c inside. Then find a value of delta&gt;0…

A: Given: a=49, b=47, c=12.

Q: What is the image of the circle of radius 1, centered at 3, under the mapping f(2) = 2/z ? The line…

A: Answer

Q: Prove d(x,y) = 8 if x does not equal y and 0 if x equals y is a metric on R, the real numbers.

A:

Q: Prove that the circle {(x, y), x² + y? = 1} is not homeomorphic to the interval [-1, 1).

A:

Q: 3. Describe the level surfaces of the function. f(x, y, 2) = x² + 4y? + 42?

A: We Know that,  A level surface of a function w = f(x, y, z) with three variables is a surface f(x,…

Q: The set of points P(x, y) such that their distance from (3, 0) is v2 times their 1. distance from…

A: The   distance from point Px,y  to 3,0 is 2 times the distance from point Px,y  to 0,2. Solution:…

Q: an Prove that n! ell7. dz 2ni (Z)n+1 Where C is a circle 1Z| 3D1 %3!

A: We have to prove that ann!=12πi∫Ceazdzzn+1, where C is the circle z=1 Use theorem which is given…

Q: Use Green's theorem to evaluate O -x²ydx + x°dy, where C is the circle x? + y? = 4 with a…

A:

Q: 2.) What is line QP called? * U R. V S T Secant Tangent O Slicer Chord

A: In circle, all the point are at the same distance from the center.

Q: On parable y=x^2/2 set point, which distance from point P=(4,1) is minimal.

A: Given: Equation of parabola: y=x2 /2                      point P= (4,1) To find: Point on parabola:…

Q: 3 Use Green's theorem to evaluate [x³y dx - xy²dy, where C C is the unit circle x²+y=1 with…

A:

Q: Show that the minimum distance from the origin to a point on theplane ax + by + cz = d is

A: Given: ax+by+cz=d we know that minimum distance p of a point x1,y1,z1 from given equation of plane…

Q: O Evaluate + z )ds where C is the circle F(E) = for 0EEE Zo

A:

Q: In the diagram below, not drawn to scale, W,X, Y and Z are points on the circumference of a circle,…

A: THEOREM 1 The angle subtended by an arc at the center is double the angle subtended by it at any…

Q: Show that if y is the boundary

A: To prove that if γ is the boundary of the trianglee with vertices at z=0, z=3i,and z=-4 oriented in…

Q: Let (a, b) be an arbitrary point on the graph of y = 1/x, x &gt; 0. Prove that the area of the…

A: The given function for the curve is, y=1x The slope (m) of the tangent at the curve is,…

Q: If (x, y) is any point on the unit circle, and t is the distance from (1, 0) to (x, y) along the…

A: x, y is any point on the unit circle and t is the distance from 1, 0 to x, y along the circumference…

Q: Please evaluate (3y – einl2) dr + (7x + V yt + 1) dy, where C is the circle x² + y² = 9. Hint: use…

A:

Q: Q5. Prove that the circle {(x, y), x² + y² = 1} is not homeomorphic to the interval [-1, 1].

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: What is the image of the circle of radius 1, centered at 3, under the mapping f(z) = 2/z ? A circle…

A: First option is correct.

Q: Find the length of the curve. 2,3/2,0 st s9 x= 4t, y 3 61 242 2 3 O 2. seçenek 4. seçenek 122 61 3 3…

A: We can find the arc length as below

Q: If R is the region in the first quadrant between the circles r = 1 and r = 2, and if f is continuous…

A: Given R is the region in the first quadrant between the circles of radii r=1 and r=2, centered at…

Q: Evaluate f 3z2dz over C, where C is the upper half circle |z – connects points O and 1+i. -글히 %3D플…

A:

Q: C is the part of the circle of radius 3 in the first quadrant from (3,0) to (0,3) and F = (1, -y),…

A: Given, C is part of circle of radius 3 in the first quadrant from (3,0) to (0,3) and F=[1,-y] The…

Q: Let C be the line segment connecting 0 to ni. Then f. 1-e2z dz =

A: we have to find integration

Q: If YZ is a tangent, then according to Pythagorean Theorem, the length of XZ should be Therefore, YZ…

A: Given  XY = 11.4 in. YZ = 15.2 in If XYZ is right triangle than length of XZ by pythogoras theorem…

Q: %3D d Chy) = (Ĉ 1 Xi-y) do you metric space ornot ??

A:

Q: The distance between the two lines x = 1+t,y = -2 + 3t, z = 4 -tand x 2s, y = s, z = s is a) 1/2 b)…

A: Please see the explanation below

Q: Show that nonnegativity of a metric follows from (M2) to (M4).

A:

Q: Given the usual metric d: RXR>[0, 0) defined by d(x, y) = |x- yl, write the set B(x, r) in interval…

A: Metric or Distance: Let X be any set A metric or distance is a function d : X×X→R such that  if we…

Q: 4) Suppose that the level curves of a function z = f (x, y) consists of straight lines. Must the…

A: Given that level curve of a function z=f(x,y) consists of straight lines.

Q: Which of the following is used to name a ray that has an endpoint at point A and extends infinitely…

A:

Q: The ________ ________ is derived from the Pythagorean Theorem.

A: We know that, The distance formula is derived from the Pythagorean theorem.

Q: ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

A: As per as our guidelines i am supposed to answer

Q: In a plane, if line f is perpendicular to line m and then fln. mln f || n n || f m || n

A: In the question we have to choose correct option.

Q: Evaluate the line integral 3ydx + 6xdy where C is the straight line path from (1, 2) to (6, 5). Sc…

A:

Q: Q5. Prove that the circle {(r, y), x² + y? = 1} is not homeomorphic to the interval [-1, 1].

A: Here we can prove this question using topological property connectedness.

Q: find the volune of the selid generated by revolving regron bounded by the graphts of dhe ģiven…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Is it true that if ƒ(x) &gt; 0 at a point, then ƒ′(x) &gt; 0 atthat point? Is it true that if ƒ′(x)…

A: a) Let f(x) = sin(x) f ' (x) = cos(x). Let x=2π3 Find the function's value at a point x=2π3.…

Q: Let W = Span{u} where u -2. Let y = find the distance from y to W 13.

A: In this question, we need to find the distance from the vector y  to the subspace w spanned by u.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.