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

Question

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Find the area of the surface generated by revolving the curve x = 2 cos θ, y = 2 sin θ, 0 ≤ ...

A: If x=f(t), y=f(t) then surface area is, About x axis: S=2π∫abydxdt2+dydt2dt About y axis: S=2π∫abxdx...

Q: Consider the following function. f(x)= {4x+3, x ≤ −1 {x2-2, x > −1 a) Find the critical ...

A: The function f(x)=4x+3, x≤-1x2-2, x>-1, we have to answer the following. The graph of the gi...

Q: A thermometer is taken from a room where the temperature is 20°C to the outdoors, where the temperat...

A: Click to see the answer

Q: Question 3 Given = ax? + x + y3 + xz2, where a is some constant parameter. • Determine a = (positive...

A: Rate change of function at point (1,0,1) is given by gradient f(1,0,1) Explained below :-

Q: Find the derivative, but do not simplify your answer. y = (x2 + x + 8)Vx - 2/x + 3 y' Your answer ca...

A: The product rule of derivative can be defined as, ddxu·v=vdudx+udvdx where u and v are two different...

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Click to see the answer

Q: 1 This question is about caleulating sin(126y) lim sin(42y) Your friend gave the following solution....

A: given: limy→0sin126ysin42y the first step in the solution that is limy→0sin126ysin42y is incorrect b...

Q: dy/dx=y2/3

A: Click to see the answer

Q: Give the center and radius of the circle described by the equation (x + 2)2 + (y + 2)2 = 4 and graph...

A: the given equation of the circle is x+22+y+22=4 the equation of the circle can be written as: x+22+y...

Q: Demand Function Cost Function p = 65 – 0.1/x C = 35x + 600

A: Click to see the answer

Q: A rectangular page is to contain 50 square inches of print. The margins at the top and bottom of the...

A: Click to see the answer

Q: 8. ( Consider the curve defined by the equation y" = 529. %3D Use logarithmic differentiation to fin...

A: Click to see the answer

Q: dy/dx=x squre root of y for y doesnt equal 0 Solve the differential equation

A: Click to see the answer

Q: The vector function r(t) represents the position of a particle at time t. Find the velocity and spee...

A: Click to see the answer

Q: True or False. If the statement is true, explain how you know. If the statement if false, give a cou...

A: Click to see the answer

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of e...

A: Slope tells how fast the dependent variable changes wrt the input variable. slope(m) of a function f...

Q: Use logarithmic differentiation to find the derivative of the function. y = square root of ((x-5)/(...

A: Given: y=(x-5)x6+4y=(x-5)x6+412 While applying logarithmic differentiation , we take ln on both side...

Q: Based on the graph of a function that I attached how do I Find the graph of its derivative

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2...

Q: Find a tangent vector of unit length at the point with the given value of the parameter t. r(t) = (1...

A: Given, r(t)=(1+t2)i+t2j To find the unit tangent vector at the point t=1.

Q: What is the cost per topping

A: GivenBy graph

Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule. fx=ex+24f'x=ddxex+24f'x=ddx+2ex+...

Q: Iff(c) does not exist, can f(x) have an extremum at x-c? Justify your answer taking f(r) = 2| and c=...

A: To Determine: If f'(c) does not exist ,can f(xx) has an extremum at x=c?justify your answer taking...

Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some...

A: the logistic growth fuction models the percentage,P(x), of Americans who are x years old with some c...

Q: Lana drove from Iowa City to Smallville at a speed of 50 mph. On the way back, she drove at 75 mph....

A: Click to see the answer

Q: A lamina occupies the part of the disk x2+y2=1 in the first quadrant. Find its center of mass if the...

A: Given, A lamina occupies the part of the disk x2+y2=1 in the first quadrant and the density at any p...

Q: 2. A balloon in the shape of a sphere is being inflated at the rate of 100 cm/sec. a. At what rate i...

A: a) Given that the balloon is in the shape of sphere and it is being inflated at the rate of 100cm3/...

Q: please very soon full explanation

A: given that a1=1 ,a2=2 and an+2=(-1/2)an+1+(1/2)an. we need to find the formulae for an.

Q: Please show the work step by step . I am really struggling with this problem.

A: Note:- In given problem you don't mention about x and also it is a known Theorem so assuming that th...

Q: x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x + 2...

A: Definition used - Slope of normal - The slope of normal at a point is the ...

Q: In problems determine by inspection at least two solutions of the 1. x dy/dx =2y, y(0)=0

A: Given: xdydx=2y, y0=0 for solving given differential equation we will use variable separable method

Q: Can you help me with this problem please?

A: Click to see the answer

Q: The design layout of a cooling tower is shown in Figure The tower stands meters tall. The diameter o...

A: The standard form of a horizontal hyperbola centered at the origin is x2a2-y2b2=1. The length of the...

Q: Find dy/dx and d?y/dx2. x = e', y = te-t dx dy dx2 For which values of t is the curve concave upward...

A: You have posted 2 question we will solve the first question please resubmit the question which you w...

Q: For Problem 4, convert the integral to polar form and evaluate it by hand, showing your work. (2 + y...

A: Click to see the answer

Q: 2) Y=2- IxxY =O, X =0, X - 1 2 Sketch the reqion.

A: Click to see the answer

Q: Find the implicit differentiation

A: Using differentiation formula:ddxxn=n.xn-1

Q: consider a particle moving on a circular path of radius b described by r(t) = b cos(ωt)i + b sin(ωt)...

A: Consider a particle moving on a circular path of radius b given as, rt=bcosωti+bsinωtj Where ω=dudt ...

Q: Find the curvature of the plane curve at the given value of the parameter. r(t) = ⟨5 cos t...

A: Formula: curvature k =r't×r''tr't3.

Q: A storage box with a square base must have a volume of 90 cubic centimeters. The top and bottom cost...

A: Given that Length of the sides of the square base = x Height = y Volume of the box = 90 cubic cm.

Q: A potato is launched vertically upward with an initial velocity of 116 feet per second from a potato...

A: Given:s(t)=-16t2+116t+96

Q: ***The answer is NOT (5√2, 10) Identify the open intervals on which the function is decreasing. (En...

A: Let f(x)=y. Differentiate the function with respect to x, to find f'(x). fx=y=x100-x2f'x=x12100-x212...