The curve assumed by a heavy chain or cable is: y = C cosh %3D If C = 50 Calculate; The value of when x = 109 y %3D The value of x when y = 75

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4) 25 O a. y = 7x 4 13 25 O…

A:

Q: Find the lengths of the following curves: b. x = cost and y = t + sin t, 0<t<n

A: we have to find the length of the given curve

Q: Find the length of the arc of the curve in the given range, y3 1 x = 16y + 4y? ++ 0sys4 4(y + 4) '

A:

Q: Find the linear velocity of a point moving with uniform circular motion, if the point coversa…

A: From the data: s=6cm t=2 sec

Q: The curve has an equation of x = y^3, find the radius of gyration with respect to the x-axis. * 0.89…

A: Given curve is x=y3. We have to find the radius of gyration with respect to the x-axis. Since, no…

Q: Sketch the curve by eliminating the parameter, and indicate the direction of increasing tat t-0. =…

A:

Q: The surface of a mountain is modeled by the equation h(x, y) = 5000 − 0.001x2 − 0.004y2. A mountain…

A: Hints:  The given equation is h(x,y)=5000-0.001x2-0.004y2 and the given point is (500,500,3750). To…

Q: Find the length of the curve described by y = V sec* t – 1 dt, - sI 4 4 (a) 4 (b) (c) (d) 2/2 (e) 1

A:

Q: The equation of the tangent line to the curke x? + y = 36, at (6,-16) is %3D y = (x+6) + 16 16 16 16…

A: we have to find the equation of the tangent line to the given curve at (6, -16)

Q: given curve about the x-axis. 1. y = 7x, 0 < x <1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the linear velocity of a point moving with uniform circular motion, if the point coversa…

A: Given: s=12 cm , t=4 sec To determine: The linear velocity of a point moving with uniform circular…

Q: Find the points on the curve where the tangent is horizontal or vertical. x = t3 − 3t,    y = t2 −…

A:

Q: The slope of the given curve at B = 60 degrees x = tan B, y = sin B

A:

Q: Evaluate [(x +2y) ds, where C is the curve defined by y = √√4 – æ², for x = [0, 1

A: Here ds is arc length.

Q: If the depth is given by the equation z = 3x2y + xy. The equation of the cut-off curve when y=1 is?…

A:

Q: Given * = (1+ a -- 14) dy 2 5 3 2 What is the value of k such that y is parallel to the curve

A:

Q: Find the coordinates of the point where the equation y' – xy = 2 has a vertical tangent.

A:

Q: Find dy/dx and d2 y/dx2 , and find the slope and concavity (if possible) at the given value of the…

A: Given: x=θ-sinθ, y=1-cosθ, θ=π We know that dydx for given expression is given by dydx=dydθdxdθ…

Q: Find the equation of the line that is tangent to the curve r = r In y, I> 0, at the point (1.e).

A:

Q: Find the equations of the tangent lines x = t3 − 6t, y = t2 at the point where the curve crosses…

A: To find the equations of the tangent linesx=t3-6t,y=t2 at the point where the curve crosses itself.…

Q: The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m

A:

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

A:

Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

A:

Q: Find an equation of the curve that satisfies dy 33ya10 dæ and whose y-intercept is 4. y(x) =

A: Given: dydx=33yx10 and y-intercept is 4. To find an equation of the curve. Solution: Separating the…

Q: I= e", y =t e", teR,

A:

Q: Find an equation of the curve that satisfies dy 20ya de and whose y-intercept is 3.

A:

Q: At what point(s) does the curve given by x = 2 − t^2, y = t^2 + 2t have a horizontal tangent?

A: Solution :- For the curve to have horizontal tangent  Put dy/dt  = 0  The whole procedure is shown…

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: Show that the equation of the tangent to the curve = 2 (a'0, b1.0) a y at the point (a, b) is = 2.…

A:

Q: a)Find the exact length L of the curve 3y = (4x – 3), 1 0. Answer: b) Evaluate xe*dx Answer: .3 c)…

A:

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: s) Find the equation of the curve that passes through the point (3, 2) if its slope is giv dy = 8x –…

A:

Q: The equation of the curve is y? = x' + 8x. Find the x-coordinates where tangent lines are vertical.

A: We are given equation of curve  Y^2 = x^3+8x We have to find points where tangent lines Are vertical…

Q: Given the equation below, find dy dr 39x² + 9x52y + y² = 49 d.x Now, find the equation of the…

A: topic - derivative and equation of tangent line

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx %3D

A:

Q: Find the equation of line tangent to the curve y= x+ - at point P(1,3) A 4x + y - 7 = 0 В) 4х - у -7…

A:

Q: If the depth is given by the equation z = 3x2y + xy , the equation of the cutoff curve when x=1 is?…

A: If the depth is given by the equation z = 3x2y + xy , the equation of the cutoff curve when x=1 is?…

Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x°y =…

A: Explanation of the answer is as follows

Q: Express the curve by an equation in a and y given #(t) = t² and y(t) = 2 t4 + 6. а) x = 4 y? + 5, y…

A: To convert the parametric equation into cartesian we must have to eliminate parameter t from both…

Q: For the implicit curve y + xy + x2 = 3, find a point on the curve where the tangent line is…

A:

Q: ) Given the equation below, find dy/dx 14x^5+8x^42y+y^6=23 dy/dx= B) Now, find the equation of…

A: Slope of the tangent at a point is given by value of dy/dx at that point.

Q: Find the exact length of the curve (a) x = 1+ 3t2, y = 4+ 2t³, 0<t<1 (b) x = e' cost, y = e' sin t,…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: At the point (a, b) the curve æ = t2 – 4t, y = t2 + 2t, teR has a tangent line having slope 2. What…

A:

Q: At what point do the curves r₁(t) = (t, 5 − t, 35 + t²) and r₂(s) = (7 — s, s − 2, s²) intersect?…

A:

Q: The curve y = xe-x^2 has how many horizontal tangents? (a) 0 (b) 1 (c) 2 (d) 3 (e) none of these

A: our objective is to find the asymptote

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: Given the equation below, find dy dx 36x8(6+5x²7y) 5236 + 7y y dy dx 36 24x² + 5x³y + y² = 30 Now,…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.