Question

Can you help step by step with this problem?

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and (0...

A: Let such a point is (x,y,z)

Q: describe the given set with a single equation or with a pair of equations. The plane through the poi...

A: Describe the given set with a single equation or with a pair of equations. The plane through the poi...

Q: Show that a unit vector in the plane can be expressed as u = (cos u)i + (sin u)j, obtained by rotati...

A: To show that a unit vector can be expressed as u = (cos u) i + (sin u) j.

Q: Under what conditions can you find the area of the surface gener-ated by revolving a curve x = ƒ(t),...

A: Click to see the answer

Q: if you have a parametric equation grapher, graph the equations over the given intervals a. x = 6 cos...

A: If instead of usual form of y = f(x), where y is dependent upon variable x, Suppose both x and y are...

Q: Find parametric equations for the semicircle x2 + y2 = a2, y> 0, using as parameter the slope t =...

A: Click to see the answer

Q: Looking for help for all of the questions with lines next to them.

A: Since you have asked multiple questions, we will solve the first three questions for you. If you wan...

Q: Show that a. cosh iu = cos u, b. sinh iu = i sin u.

A: To show that

Q: What are Taylor polynomials? Of what use are they?

A: Let us take a function f, a specific point x = a (called the center), and a positive integer n, the ...

Q: When the degree of a polynomial ƒ(x) is less than the degree of a polynomial g(x), how do you write ...

A: a) Given g(x) is product of distinct linear factors. Then we will write the linear factors as denomi...

Q: Find the derivative of the following function s2 ds Vĩ 2 + 5s4 F(x) = using the appropriate form of ...

A: Given

Q: give the eccentricities of conic sections with one focus at the origin along with the directrix corr...

A: 1)Given,e = 1, y = 2 Equation of conic with eccentricity e and directrix y=k corresponding to focus ...

Q: What is a hyperbola? What are the Cartesian equations for hy-perbolas centered at the origin with fo...

A: Problem 1:Recall the following fact.

Q: Express in terms of sums and differences of logarithms

A: According to the given information it is required to write the expression in terms of sum and differ...

Q: The business manager of a 90 unit apartment building is trying to determine the rent to be charged. ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Let P be an approximation of pai accurate to n decimals. Show that P + sin P gives an approximation ...

A: Substitute the value of P in |f(x)|.

Q: solve the initial value problem. (x+1)dy/dx+ 2y = x, x >-1, y(0) = 1

A: Write the equation as linear differential equation.

Q: Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the...

A: We need to find the volume of the solid generated by revolving the region in the first quadrant boun...

Q: #15

A: The given equation is,

Q: Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 - ...

A: The given function is,

Q: find the component form of the vector. The unit vector obtained by rotating the vector {0, 1}120° co...

A: To determine the unit vector.

Q: Use a graphing utility to graph the function and estimate the limit. Use a table to reinforce your c...

A: The graph has been plotted using the graphing utility as asked in the question.

Q: Find the angle between the radius vector to the curve r = 2a sin 3u and its tangent when u = pai/6.

A: Click to see the answer

Q: Find the centroid of the region in the plane enclosed by the curves y = +-(1 - x2)^(-1/2) and the li...

A: Click to see the answer

Q: Solve the equation for x. 10(2 + e-X)-1 = 3 %3D

A: Click to see the answer

Q: Let u = <1, 2, 1> , v = <1, -1, -1> , w = <1, 1, -1> , and z = <2, -3, -4> ....

A: Given vectors

Q: Find the coordinates of the centroid of the curve x = e^t cos t, y = e^t sin t, 0<=t<= pai.

A: Click to see the answer

Q: #17

A: First find the domain of the function y = 1 / (4 - x2) The zeros of the denominator are (4 - x2) = 0...

Q: I need help finding an equation of the tangent line to the function y= cos(3x) with the point ((pi)/...

A: Given:

Q: Exercises 45–48 give equations for parabolas and tell how many units up or down and to the right or ...

A: We’ll answer the first question (with complete information) since the exact one wasn’t specified. P...

Q: Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter 1...

A: Find the sequence increasing, or decreasing or not monotonic.

Q: How can you sometimes find the area bounded by a parametrized curve and one of the coordinate axes?

A: Let the equation of parametrized curve be

Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) on the interval [...

A: Given:

Q: What is the second derivative of the function: f(x) = (9x^2)/ (x^2-49) Please show ALL steps

A: Given function is

Q: Evaluate the indefinite integral. +32 sin(x33) dx

A: Given:

Q: Find a formula for the distance from the point P(x, y, z) to the a. x-axis. b. y-axis c. z-axi...

A: The formula for distance between two points (x, y, z) and (a, b, c) is

Q: What happens if you add a finite number of terms to a convergent series? A divergent series? What ha...

A: As there are multiple parts to the question, we will address the par related to divergent series fir...

Q: if you have a parametric equation grapher, graph the equations over the given intervals a. Epicyclo...

A: a) Graphed Epicycloid x = 9 cos t - cos 9t, y = 9 sin t - sin 9t; 0<=t<=2pai using graphing ca...

Q: In Problems 11–14 verify that the indicated function is an explicit solution of the given differenti...

A: Verify that the given function is an explicit solution of the given differential equation. Find an a...

Q: Show that the number 4p is the width of the parabola x2 = 4py (p>0) at the focus by showing that ...

A: Click to see the answer

Q: In the function: f(x)= (5x)/((x^2)-25 How do you find the x-values of the inflection points? Wher...

A: Given function is,

Q: Find the rules for the composite functions f ∘ g and g ∘ f. f(x)=square root of (x+9) and g(x)= 1...

A: fog means f(g(x))We plug g(x)=1/(x-9) inside f(x).Then replace x in f(x) by 1/(x-9) to find f(1/(x-9...

Q: What is an improper integral of Type I? Type II? How are the values of various types of improper int...

A: The improper integrals may be defined based on the continuity of the integrand inside them within th...

Q: Show that the line b2xx1 - a2yy1 - a2b2 = 0 is tangent to the hyperbola b2x2 - a2y2 - a2b2 = 0 at th...

A: Find dy/dx.Then find dy/dx at the point (x1,y1) by plugging x=x1 and y=y1

Q: The region in the first quadrant that is bounded above by the curve y = ex - 1, below by the x-axis,...

A: Express the integral as below.

Q: Consider the equation dy/dt = f(y) and suppose that y1 is a critical point—that is, f(y1) = 0. Show ...

A: To show that the equilibrium solution is asymptoticallyPart (a) Stable if f’(y1) < 0Part (b) Unst...

Q: In the function: f(x)= 6/((x^2)-16) What are the critical numbers of the function? When is the fu...

A: Click to see the answer

Q: Find the coordinates of the centroid of the curve x = cos t + t sin t, y = sin t - t cos t, 0 <=t...

A: Given,

Q: a. Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u. b. Fi...

A: Calculation: