Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x² + (y + 5}² = 25 (Type an expression in terms of 0.)

Q: The resultant force is [resultant] and the angle of direction from the positive horizontal axis of…

A: Let the vector MN be vector A and It can be represented as, Here, Ax, Ay, and θA represent the…

Q: If | A •B, what is the angle between A and B?

A: Let A and B denote the two vectors and θ denote the angle between the vectors. The given situation…

Q: Using a single dimensional equation, estimate the number of steps it would take you, walking at your…

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Q: The vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular…

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Q: Two points in the xy plane have Cartesian coordinates (2.00,- 3.00) m and (- 4.00, 3.00) m.…

A: Given:-  The two-point  on the xy plane as  A= 2,-3 m B=-4, 3 m Find:-  a) The distance between the…

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: Given : position of fly : P(2.5,1.9) Origin: O(0,0)

Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…

A: Given, Height of person,h=1.5 m Radius of Earth,R=6.38×106m

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: Given:  x = 100 m  θ = 35.0°

Q: The line from a point 150 feet from the base of a redwood tree to the top of the tree is 211 feet.…

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Q: How many years older will you be 1.00 terasecond(Ts) from now? (Assume a 365-day year.

A: 1 min = 60s 1 hour = 60m 1 day  = 24 hour 1year = 365 day 1 year = 365×24×60×60s= 31536000

Q: If matrix A = 6 = then value of A100 is 100 10 100 100 100

A: Matrix A=[2   0;  0   1], Matrix A2 =A×A=[2   0;  0   1]×[2   0;  0   1]=[2×2+0×0     2×0+1×0;…

Q: 1) Write out the number 4.06 x 10 in full with a decimal point and correct number of zeros. A)…

A: The given number is 4.06×10-5   This can be written as    4.06×10-5 = 4.06105…

Q: If the rectangular coordinates of a point are given by (2, y) and its polar coordinates are (r, 30),…

A: answer y=1.1547 r=2.3094 Explanation Relationship between rectangular coordinates (x,y) and polar…

Q: A vector has a component of 6.9 m in the +x direction, a component of 2.8 m in the +y direction, and…

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Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: With the help of Pythagorean theorem, the location of the fly can be determined by calculating the…

Q: Suppose thatP = (x, y) has polar coordinates(r, θ ). Find the polarcoordinates for the points:  (−x,…

A: Given: The point P is (x,y). The polar coordinates are (r,θ). The coordinates of the point are…

Q: Two points are given in polar coordinates by (r, θ) = (1.60 m, 50.0°) and (r, θ) = (6.60 m, -70.0°),…

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Q: (a) the distance between these points and (b) their polar coordinates.

A: a) The distance between the given points can be determined as, Here, (x1, y­1) and (x2, y­2)…

Q: The vector B>has components Bx = -2.10 m and By = -1.70 m. Find the direction angle,u, for this…

A: Let the magnitude of that vector be B0. And as the both components are negative , so clearly the…

Q: The radius (R) of the Earth is 6371.22 km, how many significant figures are there? Select one: O a.…

A: Given : Radius of Earth (R) = 6371.22 km To determine : No. of significant figures

Q: iS 1, 2 and 3 are all correci is 1, 2 only are correct is 2 and 3 only are correci is I only is…

A: Wave-particle duality theory: It states every particle or quantum entity can be illustrated as…

Q: If the cartesian coordinates of a point are given by (3, y) and its polar coordinates are (r, 60° ),…

A: Given data, co- ordinate x = 3 angle = 60o

Q: on subtituting the rupected valuej in the above relation we get: R= 2 cos ST + asın i5 +4 cos 25i +…

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Q: Which of the following definite integrals setup (in terms of y) provides the area of the region…

A: Given that:- Graph of two equation is given in the question, we have to find area of bounded region.

Q: In the polar coordinate system, r is the distance from any point to the point having Cartesian…

A: In polar co-ordinate r is represented as radial component. And it can be expressed in terms of angle…

Q: The x-component of vector  R  is  Rx = −27.2  units and its y-component is  Ry = 31.4 units.…

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Q: Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

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Q: In the figure shown, the magnitude of á is 5.2 m, the magnitude of b is 5.3 m, and o = 44°. Find the…

A: Given: The magnitude of a = 5.2 m The magnitude of b = 5.3 m Angle = 440

Q: For an angle, u measured from the positive x - axis, the valuesof sin u and cos u are always (choose…

A: Maximum value of sin and cos functions are +1 and the minimum value for both is -1.Thus, option (d)…

Q: Find the distance from the origin to the plane 3x − 2y − 6z = 7

A: The equation of the plane is, Now, compare the above plane with the general form of the plane (ax +…

Q: Two points in the xy plane have Cartesian coordinates (2.00, 24.00) m and (23.00, 3.00) m. Determine…

A: The coordinates of the first point is  The coordinate of second point is The distance between…

Q: polar angle of point

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Q: If the vector = 5 N and the angle with x-axis is ?= 36.80, then the rectangular form of the vector…

A: Given,Magnitude of the vector, R = 5 NAngle with the horizontal or with x - axis, θ = 36.80°

Q: Use the magnitude and the angle to find the components of the sum.

A: In the table you are asked to execute three processes- simulation, algebric and graphical solution…

Q: Calculate the following and express the answer in the proper number of significant figures:…

A: calculation

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the magnitude of point P?

A: Solution:

Q: Find the resultant R using component method Magnitude Angle (*) y a 18.5 30 16.0215 9.25 b 20.5 260…

A: Given Data : The x and y components of all the four vectors a, b, c, and d are given in the table.

Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A: Let us consider V⇀ for which magnitude & angle are given as written below:- V=12 -----(1)…

Q: A man walks 15.7667 m directed 223.2164 degrees from the positive x-axis, then he walks 27.9801 m…

A: s1 = 15.7667 m , θ1 = 223.2164° s2 = 27.9801 m, θ2 = 17.5732° s3 = 14.6125 m, θ3 = 263.5131°

Q: te the following and express the answer in the proper number of significant figures:…

A: Significant figures are used to establish the number which is presented in the form of digits. These…

Q: If a vector 2i^+3j^−4k^ is perpendicular to the vector 3i^+j^+αk^, then the value of α is

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Q: If the polar coordinates of a point are (r, φ) and its rectangular coordinates are (x, y) ,…

A: If the polar coordinates of a point are (r, φ) and its rectangular coordinates are (x, y)

Q: If y equals to 9 minus 7x plus 2x squared, find y when x equals to 3?

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Q: Vector R is given by R=A-2B+3C. Calculate the magnitude of R as well as direction with respect to…

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Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.