An area is bounded by y^2 =12x, x = 3. The area is located in the first quadrant. Calculate the volume of the solid revolution if the area is revolved about x=3?

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A: solution:-let l be the length and w be the width of the one sided rectangular cubicalgiven total…

Q: Evaluate the integral. dx x216x + 65 NOTE: Enter the exact answer. + C

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Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

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Q: dx 3 Losx

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A: This question can be solved using the concept of expansion of Taylor series centered at x=c.

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A: As the given function is triangular function between -1 and 1 , hence, we can use the general…

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A: The function is discontinuous at x=3 and right continuous at x=3

Q: 2. Evaluate J dx x²√√x²-49) x>7, using a trigonometric substitution.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  take…

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Q: 5. (a) (4) Find the area of the surface S, which is the part of x² + y² + ² = 4 that lies inside the…

A: As per bartleby guidelines we only give first question answers.

Q: 1 Consider the sequence an = 2- n ≥ 1. 1 n²+ n4+: 4 Show that √a₁ + √₂ ++√√a119 is an integer.

A: Details solution explain with  calculation

Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ B (1-x)³ C (1 + x)4…

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Q: Evaluate the iterated integral. In6 In2 S." " exty dydx = Mi In6 In2 etty dydx

A: Topic = Integration

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A: Here we have to write the given sum in Sigma notation.

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A: Here we have to evaluate the given limit.

Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: 3. Consider the function f(x) = 23 if x = Q if x # Q. Prove that f'(0) = 0. Hint: Apply the…

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Q: 2- The order of equation 4y"" + 2(y")5-5xy = 0 is.

A: Note: As per bartleby guidelines, I can answer only one question. So, kindly repost the other…

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

A: Here we need to solve the given differential equation.

Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: B) Find derivative of the following function d Gtana dx

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Q: Find the magnitude of x, y, and z from the following equations by using the inverse matrix 2x + 3y +…

A: Solution

Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

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Q: B- The derivative is y = In (sec (In 8)) In 0 sec 0 O it is it's In 0 cos 0 an another answer tan…

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Q: 3- Find the derivative of sinx +x/2+cos x.

A: A detailed solution is given below.

Q: Find derivative of the 6tanx following function d dx

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Q: A and B are subsets of R (set of reals) Let A be a non empty subset of a bounded set B. why does inf…

A: SOLUTION-

Q: Match each of the following with the correct statement. C stands for Convergent, D stands for…

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Q: 3 4-x 3 it (x₁ + ³x) ₁ find the slope of the secant line PQ (correct to six decimal places) for the…

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Q: 1 4. f(x)=- (5x²+4) 5.f(x)=√√3x² +6x+2

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Q: Find the equations of any vertical asymptotes for the function below. 2 +² - 3x - 10 f(x) 2 x-5x-14…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 (x + h)3 −…

A: The given limit,      limh→0x+h3-x3h

Q: Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y²…

A: Here given that a limit problem and we solve this problem by using general property of limit.   Here…

Q: What is the divergence of the vector field F of F(x,y) = x² i + 2y²j?2 div F = 2x + 4y div F = 4x +…

A: Given: F→=x2i+2y2j

Q: 5 Find the equation of the line with y-intercept 7 and slope 9 ||

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: Determine whether the differential equation (3x + 8) + (3y − 3)y' = 0 is exact. If it is exact, find…

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Q: The figure shown to the right contains a scatter plot of 10 data points for trees, where the…

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Q: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=5 cos (2t) 5²+1 1

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: 23 34 3- prove that w = ww if w = xy? + x³y³ + x'y³ W= ху ах' ду

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Q: If f(x)=(5x+6)−3

A: Given:  f(x)=(5x+6)−3To Find: f'(x), and f'(3)

Q: 3 Q19- if z = z =- 4x³y sin sin (x³y) find d əx

A: Given problem:- if z = -4x3y sinsin(x y) find ∂z/∂x

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: i. Using Desmos graphing software or Desmos graphing mobile, create the graph of the following limit…

A: Given problem:-

Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of…

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Q: Use interval notation to write the solution set of the following inequality. x²-3x>0 What is the…

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Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.