The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to be solved using th circular ring method. The formula for solving for the volume is given by V= -S" (r. ²-2) dh. What is the expression a corresponding to "? r Ⓒ 2√/4-1/² A y- x2 B 4 4 4-2√x 4-y D

Q: 10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

A:

Q: 10.1.16 Question Help w a Given parametric equations and parameter intervals for the motion of a…

A:

Q: Consider two athletes running at variable speeds v₁ (t) and v₂ (t). The runners start and finish a…

A:

Q: 2- Compute 1+i 2-51

A: Given that,      1+i2-5i

Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

A:

Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Given problem:- Use double integral polar coordinates to find the area of the portion of the surface…

Q: The height s (feet) of a ball hit into the air is given by s(t) = -16f² +50t + 5, where t is the…

A:

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: 6. Determine the Cartesian (scalar) equation of the plane that... a) contains the points (6,1,0) and…

A: SOLUTION-

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A:

Q: Consider the function f(x) shown in the graph below. (Note that you can click on the graph to get a…

A:

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y = z + 5…

A: equation of line

Q: 6. f(In x)² dx

A:

Q: Find the equation of the following lines in the form specified in bold. a) A vector equation of a…

A: As per our guidelines we are supposed to answer only one question i.e. question no (a). For the…

Q: 3 Question 5 Example 6.4.2 of APEX Calculus uses this fact (which appears in an integral table): f…

A: The objective is to find the right option.

Q: lim f(z) = #t * NE

A:

Q: 2t Show that f/² sin tdt ≥ 7. (Hint: sin t ≥ ㅠ over [0, 1].)

A:

Q: 2x fe²x sinx dx

A: Using integration by part.

Q: 5. We will be able to pay the debts if everybody pays his share. Converse Inverse Contrapositive :

A: To determine the Converse, Inverse and Contrapositive statepements of the following statement.We…

Q: Solve for the Partial Derivatives and total differential of each of the following function

A:

Q: True or False: lim O False O True 2² + 3x - 1 14-2 2-9 3 11

A:

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: Given the function f(x) = = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x)…

A:

Q: 19

A:

Q: _et f(x, y) = xe - x². Calculate fx (x, y) and Jy (x, y).

A: To find the partial derivative.

Q: 5. Evaluate the following triple integral. ſſſ (.x² + y² ) dx dy dz D D={(x,y):x² + y² ≤9.15:53)

A:

Q: In the quadratic equation Ax2+BX+C =0, describe the roots when B2-4AC is positive. The roots are…

A: The given quadratic equation is Ax2+Bx+C=0

Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

A:

Q: 4. Evaluate the following triple integral. [ƒÃƒ‚²‚x² sin y dy dz dx .

A:

Q: Question 2. Find the limit, if it exists, or show that the limit does not exist. (a) 4xy (2,3)—(0,0)…

A:

Q: ormulas to compute the following antiderivative. x-1 x² -dx.

A:

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A:

Q: dx ·S= can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A:

Q: remaining

A:

Q: x-5 y+2_z+6 -2 5 d) is parallel to the y-axis, and passes through (6,-4,5) c) is parallel to *-=X+…

A: To find the vector equation of the line.

Q: 3. Let 7 and w be vectors such that v=(2, 2, -1), |||| = √2, vw=-3, and × = (2,-1, 2). a. If u =…

A: Key points: We say that 2 vectors are orthogonal if they are perpendicular to each other. If two…

Q: Compute[x² sin(2x)dx. A.- x² cos(2x)+ xsin(2x)+ cos(2x)+C 1 1 B. — — x² cos(2x)+ —…

A:

Q: 22. Calculate the arc length of the graph of (a) y = f(x) = 1⁄2x³ + x-¹ over [1,3]. Hint: (b) y = 1…

A:

Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10

Q: 2. Which of the following statements is TRUE? (Circle ALL that apply) a. |ū - v is always less than…

A: We need to check whether the given statements are true. We will check one by one.

Q: Let The coefficient of x³ in the Maclaurin series for f(z) is: Answer: . You may explain your answer…

A: The given function is f(x)=9e2x-x A Maclaurin series is given by:-

Q: Exercises To Solve [No.5] OS s dx (x-1) √x²2x-3 3-2x-x²

A: Explained below

Q: "+9y' + 18y = 0

A: Topic:- application of derivatives

Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

A:

Q: then what is y at x=1?

A: We can find y at x=1 in the following steps.

Q: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

A: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

Q: To evaluate O fx²cos x²cosx dx' use integration by parts. What is the expression after the second…

A:

Q: Find the general solution of the ff.differential equations.1.)dy/dx=x+1/2(y+3) 2.)dy/dx=y^2(1+e^x)

A:

Q: QUESTION 7 ·S sin²t sin²0 de csc³0 de sec ³0 de cos²0 de The integral dx (x²+4)² 01 Secto 0 + can be…

A:

Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…