A. Find an equation that relates the total length of the elastic x to the distance y that the button has moved. B. You pull the button at a constant 3 cm/sec. Find the rate at which the length of the elastic is increasing when it is 12 cm long.

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: Here given curve  by2=x+a2

Q: show that the square of the length of subtangent at any point on the curve by2=(x+a)3(b is not equal…

A:

Q: 3. Find x in each of the following diagrams. a) b) c) 4 10 C 3. B 4. A circle has a chord QR with a…

A: (As per bartleby for more than one question asked only one will be solved, Please upload another…

Q: 2x +3K Zx2 - 4x + 13

A:

Q: Consider a right circular cylinder open top tin can with volume 1000 cm?. Suppose Rand H are the…

A: Given: Right circular cylinder with open top has volume 1000 cm3.            R is the radius of the…

Q: Find the length of the curve. Round to two decimal places. 1 y = 3 5 <x < 6 4x

A: Given,           y=x33+14x ; 5≤x≤6To find : The length of the curve. We know that,          The…

Q: 1. Center: 2. Radius: 3. Diamete 4. Chord: E. H 5. Tangent 6. Secant:

A: Given:

Q: right circular conical tank with its point down has a height of 4.00 m and a radius of 1.40 m.…

A:

Q: Find the points on the lemniscate where the tangent is horizontal. 2(x² + y?)² = 25(x? – y?) (х, у)…

A:

Q: 1 Find the exact length of the curve: r(t) = , 6.

A:

Q: 6. A wheel 5 ft in diameter rolls up an incline of 18°20'. What is the height of the center of the…

A:

Q: The volume of the sphere is increasing at the rate of 6cm^3/hr. At what rate is its surface area…

A: Given that the volume of the sphere is increasing at the rate of 6  cm^3/hr. We have to find the…

Q: Suppose you use geometry software to construct two secants, DC and BE, that Intersect outside a…

A: We can answer this question as below

Q: b) Calculate again an approximate value of the length L of the curve arc from the previous…

A: The distance (d) between two points (x1,y1) and (x2,y2) is given by the equation;…

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

A:

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: The total surface" area, S, of a cone of base radius, r, and perpendicular height, h, is given by S…

A:

Q: Show that the square of the length of the subtangent at any point on the curve by2=(x+a)3 (b is not…

A:

Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…

Q: Now, we can say that the work done in stretching the spring 15 in. = X ft beyond its natural length…

A: Convert the length 9 inch to feet. Then use the Hooke’s Law to calculate the value for k.

Q: The surface area of a sphere increases at a rate of 77 m2/sec. Then the rate at which the radius…

A:

Q: Let (a, b) be an arbitrary point on the graph of y = 1/x, x &gt; 0. Prove that the area of the…

A: The given function for the curve is, y=1x The slope (m) of the tangent at the curve is,…

Q: Find the length of the curve. Round to two decimal places. 23 y = 3 1 ,1 <x < 4 4x'

A:

Q: (a) The dimensions of the rectangular block are 10cm by 20cm by 15cm. with a possible error of 0.05…

A: We have to find (approximately) the greatest error in the surface area of the block and the…

Q: Suppose that the temperature in degrees Celsius at a point (x, y) on a flat metal plate is T (x, y)…

A:

Q: In the figure on the right, xy and xz are tangents from an external point X. 1. Is XY congruent to…

A:

Q: 3. Find the area in the first quadrant by the curves x? + y? = 9 and 4x² + 9y? = 36 on the first %3D…

A:

Q: Determine the natural cubic spline that interpolates the data f(0) = 0, f(1) = 1, f(3) = 4 %3D and…

A:

Q: Show that the length of the perpendicular from the foot of the ordi- nate of any point on the…

A: We know the equation to the tangent at the point (x0, y0) is y-y0 = m(x-x0), where m is the slope.…

Q: n the given question as follow, find the work done in pumping gasoline that weighs 42 pounds per…

A: We need following equations to find the required work done :               W = ∫ab F dx ..... (1)…

Q: A farmer calls in from his home 12.5 km from the eruption site to report that 15.5 mm of ash fell on…

A: From the curve we find that the predicted Ash fall for 12.5 away from home is 8 mm.…

Q: 1. If the edge of a cube is 8 cm and increases by 0.1 cm, what is the approximate change in volume?

A:

Q: A yo-yo which is 3 inches in diameter spins at a rate of 5000 revolutions per minute. How fast is…

A: Rounds per minute = 5000 To Find:    Speed of the edge of yo-yo spinning in miles per hour…

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 surface area of a sphere increases at a rate of 82 m2/sec. Then the rate at which the radius…

A:

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

A:

Q: Solve for x to the nearest tenth if necessary.. Assume that segments that appear to be tangent are…

A:

Q: a) In exercise 1.1, describe the erro statement of the tangent ratio.

A: Given : The statement, Figure :

Q: Show that the square of the length of subtangent at any point on the curve by =(x+a)°.(b÷0) varies…

A: We will prove it as following.

Q: The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the…

A: Solve the given problem.

Q: Find the length of the curve x = y²³² +1 on 21 44 чу 3≤7≤5. □ стуре fraction, or round to the an…

A: To find the length of the curve.

Q: Find the length of the curve. y 3x 3/2 from x = 0 to x = О 335 162 О 335 O 1 O335 243 559 3.

A:

Q: © Calculate the distance to the auerage yraxis for poinits in D: (2,4)

A: Consider:                    y=x2   To determine:                   Average distance to the y-axis…

Q: 15. y= -(x +2)12; x=0 dan x=3 e kadar.

A:

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

A: The arc of the curve in the parametric form can be evaluated for the length using the formula of…

Q: The perpendicular distance between two parallel tangents of a reversed curve is 7.5m and the length…

A:

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The tangent line to the graph of y = nz is perpendicular to the line z = 7 at the point where Select…

A: Line x = 7 is perpendicular to x axis. A line perpendicular to this will be parallel to x axis.…

Q: nd the length of a tangent drawn to a circle of radius 3.2cm from a point which is 5 cm away from…

A:

Q: A circle has an equation of ² + y? = 48. Compute the common area between the circle 2 + v? = 48 and…

A: Given:   x2 + y2 = 48    x2 + 8y = 0