O ich of the following is a vector equation for the line through (-1,2,-2) and parallel

Q: Evaluate the integral. 2 √√Z T ||||** SS (² cos ²0+z²)r de dr dz 000 2 √Z T S SS (² cos ²0 +2²)r de…

A:

Q: Find the volume of the region bounded above by the paraboloid z = 4x² + y² and below by the square…

A:

Q: 10x3-8x4+2x3 2 2 X→0 15x4+3x3-5x Evaluate Lim

A: We need to find the given limit limx→010x43-8x34+2x2315x24+3x23-5x

Q: The area under the curve of the function f, using the Riemann sum, will be exact if we let the n or…

A: Solved below

Q: A solid is contructed so that one side is the region between the lines x = a, x = b, the graph of y…

A: The given data is:   y=fxx=ax=b

Q: Find parametric equations of the line that contains the point P(3, 1,-2) and intersects the line L:…

A: The solution is shown below-

Q: 2 Find the average height of the paraboloid z = x +y over the square 0 ≤x≤ 1,0 ≤ y ≤ 1

A:

Q: The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use…

A: We have given  radius of the circular disk = 21cm and maximal error in measurement = 0.2cm  We need…

Q: Given c = - 2 + 10j and u = -107 + 3j, find |e+u and le| + |ú. Give EXACT answers. You do NOT have…

A: I have solved step by step in detail....go through the solution

Q: Find the derivative of the functio y = sin ¹(6x + 1) y' =

A: Given: y=sin-16x+1

Q: Find a formula for the n" partial sum of the series 5- th The formula for the nth partial sum, s of…

A:

Q: Change the Cartesian integral - ² dy dx into an equivalent polar integral. Then evaluate the polar…

A: To change the Cartesian integral ∫-55∫025-x2 dy dx into an equivalent polar integral. Then to…

Q: A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine…

A: To solve the problem, we can use the law of cosines, which relates the lengths of the sides of a…

Q: Find the values of z, y and that correspond to the critical point of the function f(x, y) = 2z²-1z +…

A:

Q: Differentiate the function. f'(x) = f(x) = In(cos(x))

A: The solution is shown below-

Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curves: y=x4, y=1 To find: Volume of solid obtained by rotating the region bounded by the…

Q: has a point of inflection. 2 z = 2 3. r = 0, 4 4. # = 0, -4 g 5. r = 0, 1. Find all values of at…

A:

Q: Evaluate dw dt OA. -9 OB. 5 O C. 11 O D. 7 at t= 1 for the function w(x,y) = x² - y² + 9x; x = cos…

A: Given: w(x,y)=x2-y2+9xx=costy=sint   We are required to find dwdt at t=π2

Q: Find f.  F"(x) = t2 - 4

A:

Q: Find √ √1+x²dx

A: To find out the integration.

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (1, 2, -1), u'(2) = (9, 1, 6), and v(t) = (t,…

A:

Q: [√² √sec²z - 1

A:

Q: Evaluate the limit sin 5x lim 10 sin 2x

A:

Q: Find the dimensions of a rectangle (in m) with area 2,197 m² whose perimeter is as small as…

A:

Q: - 49 -dx = X (Type an expression using x as the variable.)

A:

Q: Find the volume of the pyramid with base in the plane z = -10 and sides formed by the three planes y…

A:

Q: Find the length of the curve. r(t) = (3t, 3 cos(t), 3 sin(t)), -7 ≤ t ≤ 7

A:

Q: п Convert the point (p, 0, 0)=(3, 377) 6 expressions, or decimals to at least one decimal place. (x,…

A:

Q: dy Find by implicit differentiation. dx x²14xy + y² = 14

A:

Q: Use calculus to find the area A of the triangle with the given vertices. (0,0) , (4,3) , (1,8)

A:

Q: Solve the given differential equation. 3ydx - 3xdy + xdx = 2dx

A: 3ydx-3xdy+x9dx=2dxwe know ∫xndx=xn+1n+1+cd dx(yx)=xdy-ydxx2

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: Can you simplify for the f'(x) like the instructions says

A: The derivative is: f'x=5x51x+lnx25x4

Q: TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as…

A: L’hospital rule  limx— a f(x)/g(x)   = limx— a f’(x)/g’(x)   now find limit

Q: Answer the following True or False. If f(x) is a positive 1-1 function with inverse f−¹(x) with f(a)…

A: Given:-fx is a positive 1-1 fuunction with inverse f-1x with fa=c,fb=dthen π∫abfx2dx=2π∫cdyb-f-1ydy

Q: Find the length of the curve (t) = (2 cos(3t), 2 sin(3t), 5t) for −8 ≤ t ≤ 8 Give your answer to two…

A:

Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 3 and 8 using…

A: Let h be the height of the pyramid, and l and w be the length and width of the pyramid. Note that,…

Q: Use the following identity to evaluate the given integral, shown below. 1 sin mx sin nx= [cos…

A:

Q: Find the distance from the point (7,-4,5) to the line a(t) = (5,-3, -2)t + (6, 8,-4). Calculator

A:

Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: Consider the graph below. Which of the following is the correct setup for the area of the shaded…

A:

Q: Let a = - 4i +3j - 5k and b = 5i +2jk. Find - 2a - 36. V

A: a→=-4i+3j-5kb→=5i+2j-kC=-2a→-3b→

Q: Find a parameterization for the circle (x-6) + y² = 9 starting at the point (3,0) and moving…

A:

Q: Hello, how did you find 0 and -1 to be the values of r and t? Also where do you plug the numbers…

A: Determine the X intercept of the plane [x, y, z]= [3, 1, 3]+ r[1, 1, -1]+ t[0, 1, 3]

Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z)=2x-4y+7z,…

A:

Q: The figure shows a lamina that is shaded according to the given density function: darker shading…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3) Find the general solution to y′ = sec^2 x.

A: To find general solution.

Q: An open-top rectangular box is being constructed to hold a volume of 250 in³. The base of the box is…

A: These problems are based on maximizing or minimizing a variable having as its initial condition…