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Q: 12: A tangent to the circle x² + y? = 5 at the point (1,2) and th circle x? + y² – 8x + 6y + 20 - A)…

A: Given that  A tangent to the circe x^2+y^2=5 at the point (1, 2)

Q: 3/2 3. Estimate (3cos x)dx using five subintervals and right endpoints. Sketch the graph and shade…

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Q: Let C be the shortest path that connects a to ni and I = S, (coshz – 1)dz. Then %3D O I=-sinh n+…

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Q: Let C be the shortest path that connects n to ni and I = [, (sinhz + 1)dz. Then O I=-sinh n+ n(i-1)…

A: Second option is correct answer i . e . I = -1-cosh(π)+π(i-1)

Q: Find the length of the graph of y = (1/2) cosh 2x from x = 0 to x = ln sqrt(5).

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Q: bols 7 Question 9 Salve tx. Assume that nes that appear tangont are tangent 15 9, 8. 6.5 19 265

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Q: 10. Suppose that a point (X, Y) is chosen at random from the circle S defined as follows: s= (x.…

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Q: nive the newX value only of the ew Point after translating the ghlighted Point 2 Right. 4. -2 14 15…

A: Tanslating a point to right with 2 is simply adding 2 to that x coordinates.

Q: Find the length of the segment of the curve y = (1/2) cosh 2x from x = 0 to x = In v5. Simplify your…

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Q: 17. What principal interval would the answer be in if you evaluated arccos(-0.527)? (-들이 (-) Зл T,…

A: Given that:  arccos(-0.527)

Q: The gruph o i shown here Ideatify the graph of the inerve finction - (B,

A: The inverse of a one-to-one function f(x) is another function that reverse the function f(x). That…

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Q: A mus seum un T1 throughout its c represents an ac The model of th model of Earth. actual distance,

A: The scale used in the model: 1 mile = 400, 000, 000 miles  (1 mile in the model represents the…

Q: o the circle of radius 2 centered at co.2.0) and lying in the (b) plane y=2 - the line through the…

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Q: 3. In the diagram, AC is a tangent to the circle with center O. What is the measure of x? Give…

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Q: 8. What is the rate of change of the edge length s of a cube Vith respe ds С. ds D. dV 1 ds В. dv…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 8 (6562) 243 를-), then xo = If the length of the curve y = 3 x7 from the point (0, 0) to the point…

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A: differentiate y with respect to x .

Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments that appear tangent are tangent.…

A: Given : UV = 7UX = 5XY = x+3

Q: The pt. (x,y) is at a distance 5 from (0,-3)

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Q: Points P and Q are directly above and below each other on the top and bottom 4 edges of a cylinder…

A: Here the length of a piece of string that spirals evenlt from P around the cylinder and down to Q=…

Q: Again differentiate with sespect do 'x get we A cost- B Sinz A cosz + BSiny) { from @ d +

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Q: blem 11.10. Find the arc-length from (-3, 4) counter-clockwise to 3) along the circle r2 + y? = 25.

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Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments %3D that appear tangent are tangent.…

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Q: Suppose that the temperature at a point (x, y) on a metal plate is T(x, y) = 4x² – 4xy+ y². An ant,…

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Q: #4) What valwes of c Cif anu) are predicted by the Me an Vae Thearem for the function fex) = (x-32)o…

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Q: What is the length of the arc y = (2/3)(x2+1)3/2 over the interval [3,6]?

A: We need to compute the length of the arc of the given curve over the interval [3,6]

Q: 7- drotan G) Find des dy

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Q: 1) Find a formela for the fucki rmula tier y=f(x) whose amaph consists of thre nents as in the…

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Q: If UV = 7, UX = 4, and XY is x + 2 find x. Assume that segments %3D that appear tangent are tangent.…

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A: Simplification using  trigonometric ratio

Q: 24.)Graple the golur equation r=1-coae for'e in [0,360) 30 45 60° use the brapl on the next page…

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Q: 39.) Show how to use (a) trapezoidal rule and (b) Simpsons rule with n=4 to 4 approximate ſ,"…

A: There are different methods of solving a definite integral without integrating it such as the…

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

A: The arc of the curve in the parametric form can be evaluated for the length using the formula of…

Q: -x -e = luxe by Bisection Slove:.

A: To solve by using the bisection method.

Q: The graph of f(x)=((x+4)^3)/12)+((1)/(x+4)) on the interval[3,6] has arc length of

A: given graph is                                                 f(x)=(x+4)312+1x+4 we have to find…

Q: uming that there are 80 insects at t = 0. ve your answer as a whole or exact number.)

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Q: Find the length of the segment of the curve y = (1/2) cosh 2x from x = 0 to x = In 5. Simplify your…

A: Given a curve  We have to find the length of the segment of the curve  I have explained in details…

Q: d) By multiple application of Simpson's 3/8 rule, use step size as 0.02. e) Discuss on your results.

A: Given that, the function is fx=x2+0.4x-0.081+x3. a) The value of the integral by using the…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.