Answer what is required in the problem. * The position of a point at time t = 1 is (2, 4) and the velocity of the point at time t is < 2t,3 >. What is the position of the point at timet = 3? (A) (6, 3) (C) (10, 10) (B) (7, 4) (D) (8, 7)

Q: 3. Equation of the line that passes through the points (2, 3) and (4, 1).

A: Given points (2,3) and (4,1) We have to find equation

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A: The equation of line passes through the points x1 ,y1 having slope "m" is given by, y-y1=mx-x1 So…

Q: Show that quadrilateral DEFG is a parallelogram. E(3, 10) 10 10 -7 slope of DE = 3-(-5) DX-5,7)…

A: Solution: The objective is to show that the given quadrilateral is parallelogram

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Q: line squares I will always pass Show that the least Y = B₁ + B₁²³ Bx through the time point (5,5).

A: The given least square line is y=β^0+β^1x.The objective is to show, the line of y=β^0+β^1x passes…

Q: If the point A(2,7) was dilated by a factor of 2 with a center at the origin and then translated by…

A: A dilation by a factor of 2, transforms A(2,7) into B(4,14)  [Since, 2×(2,7) = (4,14)]

Q: (-8,6) 0. (-4, 2) (0, 2) (3, 2) {2F} Which point is the y-intercept? (a) (0, 2) (b) (10,0) (4,0)…

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Q: Find eqation of line through the point (4,2,1) and (0,4,2)

A:

Q: What is an equation of a line (in point-slope form) that passes through the points (-5,1) and (3,4)?…

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Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

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Q: If a ball is thrown vertically upward with a velocity of 128 ft/s, then its height after t seconds…

A: Equation of motion.

Q: Bonus) Find the equation of the secant line that passes through f(x) = -(x + 2)² at (2, f(2)) and…

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Q: Find the intercepts y= 3x+1

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Q: 18. A line passes through the point (-3, –2) and has slope 2. What is an equation of the line? Fy=2x…

A: We will find the equation of the line which passes through the given point and has a slope 2 in the…

Q: (a) Write the equation of the line parallel to the straight-line y x +5 and passing through the…

A: Given line y = 3/2 x + 5 Slope of given line  = 3/2 Therefore slope of line parallel to this line…

Q: 2. Two mobiles move in the same direction along the line of equation x + 3 y + 10 z - 10 -20 10 20…

A: Given- Two mobiles move in the same direction along the line of the equation  x + 310 = y + 1020 = z…

Q: 2 6. Parallel to y ==x+6; passing through the 3 point (2, 3) in slope intercept form.

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Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

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Q: What is the rate of change of the line that contains the coordinate points (8,-3) and (-2,7) ?

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +…

A: for horizontal tangent,  dy/dx =0

Q: REDMI K20 PRO PREMIUM 26. Each graph below represents the velocity of an object with respect to…

A: Integrating velocity gives distance  Differentiating velocity gives acceleration

Q: Q12 Construct the equation of the line passing through (0, -2) and (3,5).

A: