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 the b circular ring method. The formula for solving for the volume is given by V="r(r.²-2) dh. What is the expression corresponding to? A B 4-y C 4-2√x Ⓒ2√7-2²

Q: 3 N -3 -2 -1 1 2 3 1 . For the above function f(x) = 2 1.2, estimate f'(x) using h = 0.001 for the…

A:

Q: Find the derivative of the function. 4 24 y=. VF X X

A:

Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

Q: 10. Given the graph below, what is the value of x of the function H(x) is discontinuous? h(x)== A. 0…

A: Since you have asked multiple questions,  we will solve the first question for you. If you want any…

Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.

A: This question can be solved using properties of definite integrals.

Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: 2. Find the interval [a, b] for which the value of the integral (2 + x − x²) dx is a maximum.

A: ∫ab(2 + x -x2 )dx here for get maximum value we have to differentiate the function  so here first…

Q: iven R'(t) = (4e²t, 2t ,2cosh t), and R(0) = (1, −2, 3), 1+t² find Ŕ(t), and give the parametric…

A:

Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

A:

Q: Ex: If w cos(uv), u = xyz, y = TT 4(x²+y²)' aw find at point (1, 1, 1). əx

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: 1.₂0 +00 1 2. Determine whether the integral da converges or rvin x diverges. If it converges,…

A: We have to find out integral

Q: Calculate the average rate of change for the function f(x) over the interval-1≤x≤3

A: Topic = Algebra

Q: Suppose m and n are constants and 1 n-m 1 m-n m-n m‡n. 1 -cos(m− n)x- cos(m+n)x] + C m+n 1 -cos(m−…

A:

Q: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

A:

Q: 3x5 3x4+6x³3x² - 6x B с + + x + 1 x+m Consider S А Sx √x-m+A x-m+ 14/3 17/6 6 5 -dx. Using the…

A: solution

Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: Use the quotient rule to find the derivative of the following. 2x-3 y= 7x+5

A:

Q: To test an individual's use of a certain mineral, a researcher injects a small amount of a…

A:

Q: _42. Evaluate: √(√√x - 2)dx 3 A. ++ C x 3 B. - + C x C. 3 +=+ C 2 D. -*²_³+C 2 x 12 Evaluato: ((2x…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: ƒ(x) = 6x - 4x 2 x² +1 on [-3,0]

A: Let's find average value of given  function on interval [ -3 , 0 ].

Q: The volume of the solid generated by revolving the region bounded by x2= 4y and y2=4x about y=4 is…

A:

Q: Explain the concept of marginal cost. How does it relate to cost? How is it found? How does the…

A: The marginal cost measures the change in the cost that arises from unit increase in quantity. The…

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

A:

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

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: 9 Determine the area to the right of g (y) = y² +4y-5 and to the left of the y-axis.

A:

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: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

A:

Q: I co cos³ x sin x dx

A: Given problem:- ∫cos3(x) sin(x) dx

Q: S₁ + Sa cos²0 de 01/2000 sin ²0 de csc ³0 de + Sc 01/se sec ³0 de The integral dx (x²+4)² can be…

A: We have to solve above integral

Q: $9500   is​ invested, part of it at 11 ​% and part of it at 6 ​%. For a certain​ year, the total…

A: $9500 is​ invested, part of it at 11% and part of it at 6% For a certain​ year, the total yield…

Q: 172. Evaluate the definite integral using the Fundamental Theorem of Calculus, Part 2. 3 La+…

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: 3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] 2 2 b. f…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: PRECISE DEFINITION OF LIMITS Video Example: Use the precise definition to show that limx→2(x² + 3x)…

A:

Q: 32. Find of In(7x² - 3x + 1). dx 14x-3 dy A. = dx C. = 7x²-3x+1 dy 1 B. = dx D. = 7x²-3x+1…

A: To find out the derivative.

Q: Let f(x) = log2 (4x-x²)+2x. At what point is the tangent to the curve y = f(x) perpendicular to the…

A:

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) c) is…

A: Concept: The equation of the line segment parallel to the given axis and passing through the point…

Q: Find the inverse of 2=2-51.

A: Here, we need to find the inverse of z = 2-5i. So,…

Q: Find arc length for the curve (y+1)2=4x3 x=0 ,x=1

A: This question can be solved using the concept of length of arc of a given curve over a given…

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² + 5, the x-axis and…

A: Given: y=x2+5 Graph of the functions given are

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: 3. z = x+y x-y

A: The given function is  z=(x+y)/(x-y).

Q: Integrate f(x, y, z)= -√√x²+² over the circle r(t)=(acost)j + (asint)k, 0≤t≤2.

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…

Q: Question 3. Let L₁ be the line with parametric equations x = = 1 — t, y = 3 — 2t, z = 4t. Let L₂ be…

A: Given L1: x = 1-t , y = 3-2t , z = 4t Rewrite it in the following form (x-1)/-1 = (y-3)/-2 = z/4…

Q: Use the limit definition of the derivative to find the instantaneous rate of change o ƒ(x) = 5x² +…

A: We have to find rate of change

Q: 25. Which of the following value of x is continuous of the function f(x)=√4x²? A. 2 C. 4 B. 3 D. 5

A: