find the coordinate of point x such that the ratio of MX to XJ is 2:3

Q: C. A man, of height 1.75m, stands on top of a building of height 52m and looks at a car at an angle…

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Q: Find the max. and min. values of (x, y) = x² – xy + y on the quarter circle x² +y =1 where x.y20.

A: I use langrange multiplier method

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

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

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Q: Points X and Y are respectively 12 m north and 5 m east of point Z. Calculate XY.

A: To solve this problem we use the Pythagorean theorem

Q: 3. Which point of the unit circle of y = sin x has is A. -1 B. ± 1 С. 1 D. 0

A: To find a unit circle of y=sin x has its highest value

Q: The circles r = sqrt(3) cos u and r = sin u intersect at the point (sqrt(3)/2, pai/3). Show that…

A: For r=sqrt(3)cos(theta) find dr/d theta

Q: Find the terminal point P(x, y) on the unit circle determined by the given value t%3D P(x, y) =

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Q: Find the ratio of tangent of 1 Find the tangent of ZB. B C 12 13

A: We know that  Tan B=PerpendicularBase Here perpendicular is 12 Base is 5 Tan B=125

Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D

A: Two lines are given as : y = 4x - 3 and y = x - 5

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

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Q: Find the midpoint of these two points (4, 6) and (7, 10) Use the formulas: x = (x1 + x2)/2 %3D y (yi…

A: Consider the points, 4,6      and         7,10 The midpoints of two points is given by the formula,…

Q: Find points P and Q on the parabola y = 1 – x² so that the triangle ABC formed by the x- axis and…

A: We have △ABC is an isosceles right angle triangle. So the interior angle at B and C must be 45° The…

Q: Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. xy…

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Q: dz where C is cir

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Q: Derive the distance formula between a point S and a plane through point P. |n· PS| d = |n|

A: We have to derive the distance formula between a point S and a plane through point P.

Q: Find the point (x, y) of x+14xy+ 49y = 100 that is closest to the origin and lies in the first…

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Q: Which projection of (cost, cos 2t,sin t) is a circle?

A: Which projection of (cost, cos 2t,sin t) is a circle?

Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 3y + 2z = 9.

A: Here we fnd the cosine of the angle between the planesx+y+z=0 and x+3y+2z=9

Q: if y=sin(x), z=cos(x), v=exp(x), where ( -5 ≤ x ≤4) could you plot x,y, z, v as shown below:

A: Graph of y = sin(x): Graph of z = cos(x):

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

A:

Q: if y=sin (x), z=cos (x), v=exp(x), where could you plot y, z, v as shown below!

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Q: Find the point (x,y) of x^2+14xy+49y^2 = 100 that is closest to the origin and lies in the first…

A:

Q: Find the point (x, y) of x² + 14xy+49y = 100 that is closest to the origin and lies in the first…

A: we draw a shortest straight line from origin to line, which will we perpendicular then we will find…

Q: At what point do the curves r¡(t) = (t, 1 – t, 3 + t²) and r2(s) = (3 – s, s – 2, s²) intersect?…

A: Given Data: Curve 1: r1t=t, 1-t, 3+t2 Curve 2: r2s=3-s, s-2, s2   For the intersection point,…

Q: 3. The distance between two distinct points (x1, y1) and (x2, y2) is given by the formula

A: Given: Points x1, y1 and x2, y2

Q: 9. 15

A: Given, Two outside touching circle with common tangent and the secants outside the common point from…

Q: Find f, and f, and evaluate each at the given point. f(x, y) = arctan () (6, -6) %3D y,x, y) – fx(6,…

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find th…

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Q: In AVWX, the measure of X=90°, XW = 24, WV = 25, and VX = 7. What ratio represents the tangent of…

A: Given triangle is   tan W = ?

Q: 6. In the following diagram, O is the centre of the circle and (AT) is the tangent to the circle at…

A: AT is tangent to the circle at Tand OA= 12 cm and the circle radius 6 cm

Q: use the distance Formula tO Find the distance between e) and(3,2)

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Q: We obtain the graph of f(t) = 4 sec (2t + Tt/3) by shifting the %3D graph of f(t) = 4 sec 2t a %3D…

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Q: () The distance between R and /1 is (1) The distance between /1 and l2 is

A: Given: P=(4,2,-3), Q=(2,5,-1), R=(5,2,-1),  and  S=(1,1,-6)To find l1 is a line which passes through…

Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: Given: Equation of line is -5x+y=b. Equation of curve is y = ax3 .

Q: The circles r (V3/2, 7/3). Show that their tangents are perpendicular there. V3 cos 0 and r = sin 0…

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Q: Find the length of the following curve (a) x = 2t , y = cos 4t, 0 <t<

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Q: Find the acute angle between the lines. Round your answer to the nearest degree. 6x - y = 3, Sx + y=…

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Q: Which of the following is NOT a formula for finding the distance between two points on the…

A: Topic = Coordinate geometry 1st option is correct answer.

Q: Find the angle of intersection of the following curves r=a(1+sinθ) and r=a(1-sinθ).

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Q: b. the length of the tangents from the point (2, 5) to the circle x +y² -14x-2y+34= 0

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Q: Find the length of the cardioid r = 1 + sinθ

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Q: which sketch is a cross-section in the x-direction (L to the y-axis)? Why?

A: Given are three graphs. We need to find out which one is a cross section in x-direction. The…

Q: which sketch is a cross-section in the y-direction (L to the x-axis)? Why?

A: Given: Let us determine the cross-section in the y-direction perpendicular to the x-axis.…

Q: What is the tangent ratio for zB? C B V5 A 1,

A: With respect to angle B, here, Altitude, a=2 Base, b=1 Hypotenuse, h=5

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: Find fx and fy, and evaluate each at the given point f(x, y) = arccos xy, (1, 1)

A: Given function is fx,y=cos-1xy. To find: fx and fy at point 1,1. Solution: Partial derivative of…

Q: The domain of ƒ(x, y) = In xy is points .(x, y) in the first quadrant

A: We have to tell about given statement.

Q: 17. The tangent of the acute angle between the lines y = 4x – 3 and y = x – 2,is D

A: