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

Question

find the component form of the vector. The unit vector obtained by rotating the vector {1, 0}135° counterclockwise about the origin.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: In each of Problems 18 through 21, find an integrating factor and solve the given equation. 18. (3x2...

A: Given the equation,(3x2y + 2xy + y3) + (x2 + y2)y′ = 0

Q: х on the interval [2, 6]. 11 The rectangles in the graph below illustrate a left endpoint Riemann su...

A: The formula to calculate the Riemann Sum using left end points is given as,

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: What substitutions are sometimes used to transform integrals in-volving sqrt(a2 - x2), sqrt(a2 + x2)...

A: Formulas for the given type of forms is shown below:

Q: y′ = e2x + y − 1

A: Given,

Q: Find an equation for the ellipse of eccentricity 2 /3 that has the line x = 2 as a directrix and the...

A: To determine the equation of the ellipse.

Q: find a parametrization for the curve. 1. the line segment with endpoints (-1, -3) and (4, 1)

A: Click to see the answer

Q: if you have a parametric equation grapher, graph the equations over the given intervals x = 3 cos t ...

A: Given a parametric equation

Q: Find the average rate of change of the given function between the following pairs of x-values. f(x)...

A: Given:

Q: Give some typical parametrizations for lines, circles, parabolas, ellipses, and hyperbolas. How migh...

A: First of all, consider the cartesian form of the equation for the line.Then, consider the parametriz...

Q: I can't find C, D, and E

A: Click to see the answer

Q: Find parametric equations and a parameter interval for the motion of a particle in the xy-plane that...

A: It is known that,

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:

Q: Find the volume swept out by revolving the region bounded by the y-axis and the graph of x = t (1 - ...

A: Given,

Q: Substituting t=0 for the inital equation qoul get <-1,02>, and again with the derivative foem,...

A: Given

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Ex...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

A: Click to see the answer

Q: The line segment joining the origin to the point (h, r) is revolved about the x-axis to generate a c...

A: (1)

Q: a ball is thrown straight upwards from a tower (40 feet high) so that its position, s in feet, at ti...

A: Click to see the answer

Q: Determine whether the following limits are finite, ∞, or −∞. If the limit does not exist for any oth...

A: Click to see the answer

Q: What is a monotonic sequence? Under what circumstances does such a sequence have a limit? Give examp...

A: The monotonic sequence theorem:

Q: ) = 5 + 4 sin(x). If f(0) = 3 and f' (0) = 4, what is f(x)? Consider the function f(x) whose second ...

A: Given:

Q: Let a and b be constants with 0 < a < b. Does the sequence {(an + bn)}^1/n converge? If it doe...

A: Click to see the answer

Q: a. Find the length of one arch of the cycloid x = a(t - sin t), y = a(1 - cos t). b. Find the area o...

A: Click to see the answer

Q: Evaluate the limit, if it esxists. (If an answer does not exist, enter DNE.). lim x°-4I+3 x>3 X-3

A: Factor the numerator.Factor 3 so that the sum of the factors is -4Factors are -3 and -1Write -4x as ...

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x)=(x^2)/(12) f(x...

A: Given:

Q: use I=60/13(1-e-13t/5) to express the time t as a function of the current I

A: The given function of I as a function time t is as follows.

Q: Write inequalities to describe the sets in Exercises 45–46. 45. The slab bounded by the planes z = 0...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Find the vertex, focus, and directrix of the parabola x2 - 6x - 12y + 9 = 0.

A: Write the given parabola in standard form by completing square

Q: what Taylor series would you choose to represent the function near the given value of x? (There may ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: dy/dx (y=x^2(4x+1)^3)

A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product rule.(...

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: What do you know about rearranging the terms of an absolutely convergent series? Of a conditionally ...

A: Click to see the answer

Q: y′=2x/(1+2y),y(2)=0

A: Click to see the answer

Q: The infinite region bounded by the coordinate axes and the curve y = -ln x in the first quadrant is ...

A: Express the integral as below.

Q: Obtain the Taylor series for 1/(1 + x)2 from the series for -1/(1 + x).

A: Recall the following fact.

Q: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep, is fu...

A: Given: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep...

Q: Find the first four nonzero terms in the Maclaurin series for the functions in Exercises 31–38. 31. ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: For the function f,Construct and simplify the difference quotient f(x+h)-f(x)/h

A: Given:

Q: #17

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

Q: The ellipse (x2/16) + (y2/9) = 1 is shifted 4 units to the right and 3 units up to generate the elli...

A: First list the formulas for ellipse.

Q: Use the table to evaluate each expression. 3 х f(x) 4 4 4 1 g(x) 3 4 (a) f(g(1)) (b) g(f(1)) (c) f(f...

A: Given a table

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: In the function: f(x)= (3x^2)ln(x) , x>0 Where is the function increasing and decreasing in inte...

A: Click to see the answer

Q: Let R be the region bounded by y =x, x= 1, and y = 0. Use the shell method to find the volume of the...

A: Graph the situation roughly using graphing calculator.The shaded region is rotating about x=8 line.

Q: Solve the initial value problem dy/dt+ 2y = 3, y(0) = 1

A: Given,