Suppose you use geometry software to construct two secants, DC and BE, that Intersect outside a circle at F. D E If you measured DF,CF,BF, and EF, you would find that the product of the lengths of one secant segment and its external segment will equal the product of the lengths of the other secant segment and its external segment. So, DF CF BF EF.Now, suppose you drag F and examine the changes in the measurements. Would the relationship between the segment lengths change? Complete the explanation. The product of the lengths of one secant segment and its external segment will? product of the lengths of the other secant segment and its external segment. So, DF CF = BF EF will vequal the v be true.

Q: (b) Using clearly written arrows, indicate on each figure which grid curves correspond to u being…

A: Image is attached with detailed solution.

Q: Find fx and fy, and evaluate at the given point.

A: Given fx,y=tan-1yx. To find fx and fy at point (2,-2). Solution: Partial derivative of a…

Q: 20. The tangent of the acute angle between the y= 4x-3 and y=x-5 is 2 (A) 5 [B) [C) 3 (DJ The radius…

A: tan(θ)=m1-m2/1+m1m2

Q: How to find a termianl point (x,y) on a unit circle when given the value of t. t=5pi/2

A: The given value t is

Q: Find the point (a, b) on the graph of y = ex where the value ab is theleast.

A:

Q: (11) At what point do the curves ri(t) = (t, 2-t, t²) and r3(s) = (1-s, s+1, s²+1) intersect? Find…

A:

Q: Check that if the graphs of the equations r= f(a) y r = g(a), intersect at P(r.a) then the tangent…

A: Let we have two lines with slope m1 and m2 Then both lines are perpendicular if and only if m1 m2 =…

Q: The graph of x+y = 4 is an ordinary right cireular cylinder. Indicate axis of the eylinder lies…

A: The equation of right circular cylinder is given by  x2+y2=4

Q: 7. In the diagram shown below, QT and QR are tangent to circle O at points T and R, respectively. If…

A: Angle between two tangent is  Angle = (1/2) ×( far arc - near arc )

Q: Find a formula for the distance from the point P(x, y, z) to the a. x-axis.    b. y-axis    c.…

A: The formula for distance between two points (x, y, z) and (a, b, c) is

Q: BG and BH are tangents that intersect circle M at points G and H, then A. MZGMH = 120° B. BG = BH C.…

A:

Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

A:

Q: If the distance from P(1, 0) to the point T(1 ) is x, determine the coordinates P(1,0) of the point…

A:

Q: Ship A is 20km north of Ship B at 8:00 am. Ship A is sailing south at a rate of 9km / h, while ship…

A:

Q: A circle has an equation of 22 +y? = 48. Compute the common area between the circle 2? + y? = 48 and…

A:

Q: Find the exact length of the portion of the curve shown in b r = 0+ 2 2 (i)

A:

Q: Let C be the line segment connecting 0 to ni. Then f. 1-e22 dz = a. 0 b. -0.5 + ni c. ni d. None of…

A: Given C be the line segment connecting 0 to πi Then we have to calculate ∫C1−e2zdz Hence,…

Q: Find the length of the spiral r= 402, 0ses 21.

A:

Q: Find betwee y = x2 the the CurveS and area 2. 3= 4x-x groph %3D Draw

A: Given curves :

Q: Suppose r'(t) has units of m/s. Explain why T(t) = r'(t)/ | r'(t) | is dimensionless (has no units)…

A: Suppose r'(t) has units of m/s. To explain why Let r(t) be a differential vector valued functionNow…

Q: Find mZW to the nearest tenth of a degree. W 11 in Y 3 in X mZW =

A:

Q: b) Let C be the circle |z| = 4 traversed once in the positive sense e~2 (counter clockwise). Compute…

A:

Q: If a curve C is given by r(t) = (21,3t), what is |r'(t)|? (Type an exact answer, using radicals as…

A: Finding r'(t)

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: 5. Find the total length of the curve r-4 (1-sin e) from 0-90° to 0-270° and also the total…

A:

Q: w Find the lengths for the fallowing curvers tar=lt cose 2.

A: find the length of both polar curve as following:-

Q: Find the exact length of the curve. y* 4y² 1 1<y< 2 8

A: Use the formula and than integrate for the length of the curve.

Q: Let s(t) be the distance between Jack and Jill. Explain in words what it means if s'(t) is negative.…

A: Given that, Jack drives east away from Hilltop bakery at 60 mph while Jill drives towards the bakery…

Q: Given that the line y =r- b is an asymptote to the ar curve y a,b €R,r = 1, then b = I-1 -1-a B 1-a…

A:

Q: 1) Circle P is tangent to each side of ABCD.AB=20, BC=11, and DC=14. Let AQ=x. Find AD.* B P.

A: Theorem  Pair of Tangents are equal in length from external point to a circle

Q: 1 Let f (z) = . Let C be the circle |2| = 2n the counter-clockwise direction. What is 2ri Lf(2) dz?…

A:

Q: A circle, with area A = tr“, is expanding with time. dA = 6 cm 2/s, what is dt dr when r = 2? dt If…

A:

Q: Find the exact length of the curve. x = e' +", Osys 4

A: Given function is  x = e^y +(1/4)e^-y

Q: Let C be the line segment connecting 0 to ni. Then f. 1-e22 dz = a. 0 b. -0.5 + ni C. πί d. None of…

A:

Q: In Pi Jinxing's dream, two curves are said to be CoRoNaViRaL if whenever they intersect, the two…

A:

Q: 2. In the figure to the right, FE is a tangent to circle O. D and F are connected so that EG = GF.…

A: Given from the figure

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

A:

Q: 5 B 6. 8. A A) Tangent B) Not tangent

A: To determine whether AB is a tangent to the circle  Let the centre of the circle be O and point on…

Q: 1 x = + 6 2y What is the length br of the portion of the graph of the between the points with y = 1,…

A:

Q: 47. Determine if AP is tangent to circle 0. A A. yes B. no 5 12 13

A: Given.

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

A:

Q: Show by elimination that x = and y = almost represent the unit 2t2 + 2t + 1 2t2 + 2t + 1 circle x? +…

A: x =2t+12t2+2t+1, y=2t2+2t2t2+2t+1 ....(1)x2+y2=1 ...(2)put (1) in…

Q: 8. Use the diagram of circle H to find JK if DG = 24 and FH=I %3D G. JK = D 7, F.

A:

Q: For what values of a and b is the line 2x + y = b tangent to the parabola y = ax when x = 1. a = 1…

A:

Q: 7. Determine if line AB is tangent to the circle. Show your work. B 6 12 16

A: Use circle property

Q: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

A:

Q: 1. Find the distance from point P to AB. Show your work. Ay C(3, 4) B(1, 2) 6 x А(-3, —2) Р(5, — 2)

A:

Q: A circle has an equation of ² + y? = 48. Compute the common area between the circle 2 + v? = 48 and…

A: Given:   x2 + y2 = 48    x2 + 8y = 0

Q: A circle, with area A = Tr2, is expanding with time. dr If = 6 cm 2/s, what is dt dA when r= 2? dt…

A: