F = xi + yj; the curve C is the counterclockwise path around the circle x² + y² = 16 O 8TT O 32TT 0 64TT

Q: If PQ = 3y - 34 and PS = y, find PS in parallelogram QRST. R PS : ト

A: Given that PQ=3y-34 and PS=y in a parallelogram QRST To find the value of PS.

Q: Write the equations of the lines tangent to the circle (x + 3)² + (y – 4)² = 18 and are…

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Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

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Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

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Q: Find the equation of a circle whose center is at (4,2) and tangent to the circle x² + y? – 8x – 6y+…

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Q: i æ² + y? = 30 and (x + 1)? + (y – 1)² = 6 | ii (æ + 3)? + (y – 2)² = 9 and (x + 7)? + (y + 1)? = 4…

A: (i) The given circle is: x2+y2=30        ....1x+12+y-12=6       ....2

Q: P(t) denotes the point on the unit circle U that corresponds to the real number t.

A: The x-coordinate of any point on the unit circle represents cosine value and y-coordinate represents…

Q: Find the length of the curve The spiral r= 3e 2, 0 s es 2 v3

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Q: A. Determine the center and radius of the following circles. 1. x2 + y2 – 8x + 2y + 13 = 0 2. х2 +…

A: As per the company guidelines we can solve first three parts  . I hope that the given solution will…

Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

A: What is Set: Set is the language of mathematics. Through set, we can define mathematical expressions…

Q: Which of the following points lies on the circle (x-2)2 + (y-3)2 5? Select one: a. (3,5) b. (5, 3)…

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Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: Which of the following points is inside the circle whose equation is (x – 8)? + (y – 5)² = 36 (3,11)…

A: We have to check which points is inside the circle whose equation is  (x - 8)2 + (y - 5)2 = 36 Let ,…

Q: Which point is NOT on the circle defined by y + (x – 3)² = 49? (-4, 0) Select (3, 0) Select (3, –7)…

A: The given equation of circle is: y2+(x-3)2=49

Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: 3x² + 3y² 6x6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k =…

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Q: 2x² + 2y² + 8x + 4y + 2 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

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Q: Find the length of the chord of contact with respect to the point on the director circle of circle…

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Q: x² + y² - 2x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:

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Q: D. (-1, C. 16 6. Determine the equation of a circle with center at (-4, 0) passes through the point…

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Q: The curve y r? - 6z +7 is symmetric bout O a. Y axis O b.X axis and Origin O cC. Y axis and Origin O…

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Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: (3 marks) Find the equation of a circle whose center is at (3, 3) and tangent to the circle x? + y?…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: An environmental engineer wants to evaluate three different methods for disposing of nonhazardous…

A: GIVEN

Q: Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the…

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Q: Find the distance in between the point P(0, 2, – 4) and the point Q(3, – 2, – 3). -

A: Given:P0,2,-4 and Q3,-2,-3