Find the Volume: Rotate the region bounded by y = 7 - x², x = -2 and x = 2 and the x-axis about the x-axis

Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2. P 1(3, 4, 6) and P 2(6, 0, 1)…

A:

Q: Find the rate of change in the area (A) of a circle with respect to its radius (r) when r = 9. 9TT…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

A:

Q: Show that lim in(+¹) + sin(+²) + n *** + sin(2) cos(1) - cos(2).

A: Above question is solved.

Q: Find the dot product of the following vectors u and 7. ū u v =

A: We can find the answer as below.

Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Q14) The solution of y" + y = 0 by using power series method, is: - a) y(x) = ao + a1 ( 1 - 12/11 c)…

A:

Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

A:

Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

A:

Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. y If I have a…

A:

Q: ng expression:

A:

Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

A:

Q: Derivative app The given rectangle has a perimeter of 60cm. Find the values of x and y that result…

A:

Q: A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the top…

A:

Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the zz-plane. 1. Find the center-radius form of…

A: Given that Parabola C : z-4 = -x-22                In this question, we sketch a graph of the…

Q: Describe the type of discontinuity at x = -1, explain your answer. Use the definition of continuity…

A: a. Type of Discontinuity: Removable Discontinuity

Q: Pls help ASAP

A:

Q: ng the problem) an interval in which the solution of the given initial value proble (t-4)y' + (Int)y…

A: We have to find the interval of t

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

A:

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A:

Q: Find the arclength of the curve y = MIN M on [0,4].

A: See the details solution in below

Q: bn gn-4+5 10n

A:

Q: Find the limit or show that it does not exist. √x+3x² lim 818 4x - 1

A:

Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

A:

Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

A:

Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: cos-¹(2x+5), then dom(f) = = If f(x) = x+3 (A) (-3,-2) L (B) [-3, -2] (C) (-3, -2] (D) (-1,1) (E)…

A: Doamin of a function:- It the set of input values where the function at the values…

Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

A:

Q: axb=2x2 X X What can you say about band ? a) Their magnitudes must be equal Ob) Their directions and…

A: Given.

Q: Differentiate the following expression: y = x² cos 4x

A:

Q: lim √25t2 + 2-5t

A:

Q: The area of the region that lies inside the cardioid curve r = cose + 1 and [(cose + 1)² = cos²0]de…

A:

Q: 6. How many solutions does this system have? b) 1 d)i 10x - 7y=10 4x + 5y = 12 a) 0 c) 12 Ho…

A:

Q: Let ā= . Find |āà.

A: Here we will find the magnitude of vector a,

Q: Evaluate the triple integral 9(z, y, z) dV over solid B. B B = {(x, y, z) | 5² ≤ x² + y² ≤ 7², x ≥…

A:

Q: Question 4 (a) Solve the following: √4x¹dx (b) Explain with the aid of a sketch how this value can…

A:

Q: Consider the function f(x) 1 1-x²

A:

Q: Determine dx for each of the following functions. Do not simplify the dy expressions after applying…

A:

Q: Evaluate In x x (4 - In² x) - In 14- In² x | +C - 2 In 14-In² x | +C 12 -dx In | x (4- In²x) | +C In…

A:

Q: An object is moving with velocity (in ft/sec) v(t) = t² - 2t + 2. At t = 0, the object has a…

A: Topic = Integration

Q: Which of the following vectors is coplanar to [1, 1, 1] and [1, 2, 3]? O a) [4, 2, -2] b) [5, 7, 6]…

A: Given vectors  [1,1,1] and [1,2,3] For coplanar with another vector, the determinant should be zero.…

Q: Determine the following derivative with respect to x: Y = cos(sin(cos x))

A:

Q: Find the distance from the point (-6,2,-7) to the plane -x + 4y = 2z = 22.

A:

Q: The sum of two integers is 12. If the sum of 4 times the square of the smaller integer and 8 times…

A:

Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

A: This question can be solved using the concept of polar coordinates of a point.

Q: A company produces very unusual CD's for which the variable cost is $ 16 per CD and the fixed costs…

A: Let's solve for cost,revenue and profit function.

Q: Determine the scalar equation of the plane containing the point (-2, 9, 7) and 9. perpendicular to…

A:

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: To approximate the given integral using the following rules.

Q: 1) What is the slope of the graph y = 5e³x at x = 1?

A: