Start your trial now! First week only $4.99!*arrow_forward*

Question

find the curvature at typical point (x,y) on the curve y=x²

1 Rating

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: 1/3 Find the absolute extrema of the function f(x) = (x + 16) on the interval [-5,2]. Find the secon...

A: To find: Absolute extremum of the given function.

Q: describe the given set with a single equation orwith a pair of equations. The circle of radius 2 cen...

A: Radius of the circle is 2 units, center is 0, 0, 0 and the circle lies in yz-plane.

Q: Q.1 Use cylindrical coordinates to evaluate

A: ∫-11∫01-y2∫0xx2+y2dzdxdy =∫-11∫01-y2∫0xdzx2+y2dxdy=∫-11∫01-y2z0xx2+y2dxdy=∫-11∫01-y2xx2+y2dxdy =∫-11...

Q: If θ is an acute angle and cos θ = 1/3, find csc (π/2 - θ).

A: It is given that,cos θ = 1/3 We have to find csc (π/2 - θ).

Q: Use the definitions of the hyperbolic functions to find each of thefollowing limits. limx→0+coth x

A: Let the given limit be y - y = limx→0+cothxy = limx→0+coshxsinhxy = limx→0+ex+e-x2ex-e-x2y = limx→0+...

Q: In Exercises 3–8, compute f'(a) in two ways, using Eq. (1) and Eq. (2).

A: Given that, fx=3x2+4x+2 ...(1)

Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos ...

A: gt=2+cost, 0, π

Q: The value of the polynomial 5x - 4x2+3 , when x = -1

A: Click to see the answer

Q: In Exercises 1-8 compute an area function A(x) off (x) with lower limita. Then, to verify the FTC II...

A: Given that: fx=4-2x, a=5 To calculate the area A(x) of the given function, Ax=∫axfxdx=∫5x4-2xdx=4...

Q: Write as a single logarithm:

A: Given: a) 2lnx+13lnx+5b) 2logx-3-logxc)14logbx-2logb5-10logby

Q: Sketch the curve represented by the parametric equations x = 1 + 8t, y = 3 − 4t (ind...

A: x=1+8t, y=3-4t When t=0, x=1+80, y=3-40⇒x=1, y=3 When t=1, x=1+81, y=3-41⇒x=9, y=-1 Now the graph i...

Q: The sum of two positive numbers is 16. What is the smallestpossible value of the sum of their square...

A: Given, The sum of two positive numbers is 16. Suppose these two positive numbers are x and y The sum...

Q: 1- 21 17. v' v(1) = - 2

A: y'=1-2ty⇒dydt=1-2ty⇒y dy=1-2t dt Now integrating on both sides, we get ∫y dy=∫1-2t dt⇒y22=t-2·t22+C1...

Q: Use Laplace transforms to solve the initial value problem x"+ 9x = 1; x(0)= 0, x'(0)=0

A: Given x"+9x=1 and x(0)= 0, x'(0)=0

Q: Maximum height Suppose a baseball is thrown vertically upwardfrom the ground with an initial velocit...

A: Given information: Initial velocity is v0 height of the ball equation is st=-16t2+v0t

Q: Find the tangent and normal to the curve y=2e-x/3 at the point where the curve meets the y-axis

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (−2...

A: Given: The plane passes through the point (−2, 3, 1) and is perpendicular to n = 3i − j + k. To fin...

Q: Find an equation for the line that passes through the point (2, -5) and is parallel to the y-axis

A: To find the equation of line passes through the point 2,-5 and is parallel to the y-axis. We know th...

Q: Find the indefinite integral using any method ∫cos x ln(sin x) dx

A: Given, ∫cos(x)ln(sin(x))dx

Q: What are the quotient and remainder when -820 is divided by 64? O q = 12,r = 53 %3D O q = -12,r = 52...

A: Dividend, divisor, quotient, and the remainder: When we perform division, we can typically write dow...

Q: a. Use the Bi-section method, to approximate v2 in three steps in the interval [1,2|j (use 3 digits ...

A: Click to see the answer

Q: What does am/n mean ?

A: Let the given expression be y -y = amnThis means that, power to the a is in fraction which can be wr...

Q: Q.3 Find dx dy by theorem and also check the results by implicit differentiation if x- 1 2y +xy = 0

A: Click to see the answer

Q: If possible, find an absolute extremum of g(x) = - (x-3) on the interval (0,6). e Select the correct...

A: Click to see the answer

Q: Suppose limx →b ƒ(x) = 7 and limx →b g(x) = -3. Find lim x→b ƒ(x)/g(x)

A: Click to see the answer

Q: Graph the curve and visually estimate its length.Then use your calculator to find the length correct...

A: Given: y=x2+x3, 1≤x≤2 To Find: i. Graph the curve and visually estimate it's length.ii. Find the len...

Q: One of the zeroes of the polynomial 2x2+7x-4

A: Click to see the answer

Q: Evaluate the sums

A: Given: ∑k=113k ∑k=113k2 ∑k=113k3 To Evaluate: The given sums.

Q: Explain why or why not Determine whether the following statements are true and give an explanation o...

A: Since you have asked multiple questions in a single request, as per the policy, we will be answering...

Q: I need to integrate the following equation:

A: Given, ∫039-x2dx

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line. Funct...

A: Given that y'=f(x)=1x2-1 -----(1)Equation of the line is x+2y+7=0 -----(2)⇒2y=-x-7⇒y=-x2-7...

Q: Simplify exponential expression. (-30a14b8/10a17b-2)3

A: Click to see the answer

Q: Graphical analysis The figure shows the graphs of ƒ, ƒ', and ƒ".Which curve is which?

A: Given information:

Q: Differentiate the function.

A: Given: y=aex+bcex+d we know that ddxuv=vdudx-udvdxv2 ..1

Q: Determine the point on the graph of the linear equation 2x-5y = 19 whose ordinate is 1 (1/2) times ...

A: Click to see the answer

Q: Find all functions f having the indicated property. The tangent to the graph of f at the point (x, y...

A: The tangent to the graph of y=fx at the point x, y intersects the x-axis at x+2, 0. Slope of the t...

Q: integration of e^x^2

A: Here, we have to find the integration of ex2, So, the given term becomes, ∫ex2dx, Now, in this case ...

Q: Use a CAS to perform the following steps and answer the questionsposed.a. Find the domain of F.b. Ca...

A: Given and

Q: Find the horizontal asymptote, if there is one,of the graph of the rational function h(x) =15x3/(3x2...

A: Solution:- The given function is h(x)=15x33x2+1

Q: The population of a town in 1920 was 3200 people. The town's population decreased linearly, and in 1...

A: Click to see the answer

Q: What will happen to the density of a bar of iron if it is cut into 4 equal pieces? The density will ...

A: Solution:- Density:- Density of any material is the mass per unit Volume of the substance. Density...

Q: Verify that each of the following is an AP, and then write its next three terms 0 , (1/4), (1/2), (...

A: Given, The terms of a sequence 0 , 14 , 12 , 34 We have to verify that the terms are in AP and ...

Q: Distinguish between the vertical shifts and horizontal shifts?

A: The distinguish between the vertical shifts and horizontal shifts is as below,

Q: Use the Integral Test or a p-series to determine the convergence or divergence of the series

A: Solution:- we have to determine either the given series ∑n=1∞26n+1 is divergence or convergence. By...

Q: Evaluate the series or state that it diverges.

A: Click to see the answer

Q: Continuity of compositions Find functions ƒ and g such that each function is continuous at 0 but ƒ ∘...

A: Find functions f(x) and g(x) which are continuous at x=0 but f(g(x)) is discontinuous at the same. C...

Q: Use limits to find ƒ′(x) if ƒ(x) = 7x

A: Given: fx=7x we know that for any given functiongx g'x=limh→0gx+h-gxx+h-x ...

Q: Absolute maxima and minima Determine the location and value of the absolute extreme value of ƒ on th...

A: Consider the given function: f(x)=x3-3x2 for x∈-1,3. Find the x-coordinate of the extreme points. x...

Q: Find the sum to 30 terms 6 +12 + 18+ ..... 30 terms

A: To find the sum of first 30 terms:

Q: Identify the equation 23x2 + 26√3xy - 3y2 - 144 = 0 without applying a rotation of axes.

A: Given: 23x2+263xy-3y2-144=0 for identify given equation, we have to find value of D we know that val...