Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in an amount of time t, where ​s=45 cm and t=5 sec

Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.…

A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the…

A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A…

Q: The slope of the tangent line at any point (x, y) on a curve is 2,. If the point (9, 3) is on the…

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Q: Find the tangent plane to the equation 5e*- öy at the point (12, 24, 5).

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Q: ズ Find an equation of the tangent line to the curve y= 8 arccos at the point (1, 7). 2

A: we have to find the equation of the tangent to the curve y at (1, π)

Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2,/x- If the point (9, 3) is on the…

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Q: Determine the equation of the line tangent to the curve (x+y)^7 = x^7 + y^7 (x+y)  at (−1,1).

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Q: A stream line is a line that is everywhere tangent to the velocity filed

A: Streamlines are a family of curves that are instantaneously tangent to the velocity vector of the…

Q: Pls help ASAP

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(x² + y²)° = 25(a² – y²) at the…

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Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y=…

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Q: Find the equation of the tangent line to the curve y = IVa at the point (16, 64). %3D y =

A: The standard form of the tangent line helps to find the required equation of the line. The standard…

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2 + y²)° at the point (- 3, - 1) 2.…

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Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

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Q: The slope of the tangent line to the curve y = 4 at the point ( 3, 4 is: 6. The equation of this…

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Q: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…

A: Given that the curve passes through a point.

Q: Find the distance from the point Q to the line ℓ.

A: Given: Q=0, 1, 0, l with equation xyz=111+t-203.

Q: A propeller with radius 7 feet is rotating at 20 revolutions per minute. Find the linear velocity of…

A: Let's find linear velocity of the tip of propeller.

Q: the tangent line to the graph (x^2 + 4)y = 8 at the point (2, 1).

A: Use formula of  equation of tangent  line

Q: Find the equation of the tangent line to the curve at the given point.

A: To find the tangent at the given point on the curve, using derivatives

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 3 at the point 6, 2 The slope of the tangent line to the curve y |3| is: The equation of this…

A: Derivative y with respect to x and then substitute the given point to find the slope.

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

Q: Determine the equation of the line tangent to the curve   at the point (-1,1) and reestablish a…

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Q: Define linear velocity and give its formula.

A: Define linear velocity and write its formula

Q: Find an equation of the tangent line to the curve 2(az² + y³)² = 25(x² – y}) - (a lemniscate) at the…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: How many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)? At which points do…

A: The tangent lines to the curve y=xx+1 passes through the point (1, 2)

Q: Determine the point on the curve y 16 a² where the tangent line is horizontal. A (2, 12) (-2, -12)…

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Q: Find the linear velocity of a point on the edge of a wheel rotating 35 times per minute. The…

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Q: The tangent line to the curve y = 1/3x^3−3x^2+9x+12 is parallel to the line 8x−2y=3 at two…

A: given: the tangent line to the curve y=13x3-3x2+9x+12 is parallel to the line 8x-2y=3 at two points…

Q: Calculate the linear velocity of the tip if a fan blade if the fan blade is 4.6 m long and rotates…

A: To calculate the linear velocity of the fan tip  Linear velocity = linear distance that can be…

Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

Q: nd the point (both x and y coordinates) where the tangen

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Q: The slope of the tangent line to the curve C at the point (1, 2) is A) 4 B c) 2 D - 4 2.

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Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the…

A: Explained below

Q: The slope of the tangent line to the curve C at the point (1, 2) is (A) 4 (B -2 c) 2 D -4

A: Solving the problem by finding the slope of the tangent.

Q: Find the point(s) on the curve of y = 3x^4 − 4x^3 where the tangent line is parallel to the line…

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Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the…

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Q: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x-coordinate…

A: It is given that the x coordinate increases at a steady 10 m/sec. dxdt=10msec. The equation of…

Q: Find the equation of the tangent line to the curve y = x *sqrt(x2 + 5) at the point (2,6

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Q: Find the distance between the line x + y + 2 = 0 and the point (1, 1).

A: The distance between the line ax+by+c=0 and the point x1,y1 is given as below. d=ax1+by1+ca2+b2

Q: 6. Determine the equation of the line tangent to y = x+ tan r at the point (7, 7).

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in…

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Q: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

A: consider the given equation, x2+y2=2x2+2y2-x2 Use implicit differentiation method and differentiate…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.