Find the area of the surface generated by revolving the curve about each given axis. x = 9t, y = 2t, 0 ≤t≤7 (a) x-axis (b) y-axis

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Q: 4. Show that the triangle with vertices (1, 1, 1), (2, 3, 2) and (4,-1, 2) is a right triangle.

A: Vertices of triangle are:

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A: To find

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Q: Y₁ = (x - 5)³ Y₂=X-5 L²(((x - 5) ³ - (x - 5)) )x dx y 1.5 1.0 0.5 -0.5 -1.0 1 2 3 4 5 6 X

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A: To find the four second order partial derivatives and to observe that the second mixed partials are…

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A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: . Find JpF-dr, where P is the line segment from (0, 1) to (1,0) and F(x,y) = (z²+²y).

A: We have to find  where P is the line segment from (0,1) to (1,0) and

Q: 0 The initial substitution of x = a yields the form exist. 3 X-729 x-9 lim X-9 Select the correct…

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Q: Given f(x) = (x − 2)³ + 1 find ƒ−¹ (x). - 1+ 2x 7+x Given h (x) = find h-¹ (x).

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Q: 13. On what interval(s) of x is the graph increasing? 14. On what interval(s) of x is the graph…

A: Graph increases when the values of y  increases  with increase in  values of x or slope of the graph…

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A: we need to find the

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Q: Rewrite the following equation with the variables separated. y' = 6xy² + 2xy + 6y² + 2y

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Q: Determine the limit numerically: f(x)=3x²-2 at x=0. Use 8 decimals. X у f(x)= X 0.9 y 1.9 4-x² 2-x…

A: we need to find the numericallyNote: In first question it should be x=1, since table values are…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

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Q: If a population grows 9 % each year, what is the annual continuous growth rate as a percent? Give…

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Q: -8-6-4-2 -2- 2 4 6 X C

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Identify any points of discontinuity for the following functions. Indicate if the discontinuity is…

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Q: a) Verify that the function C x² is a solution of the differential equation xy' +2y = 4x², (x > 0).…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A: y1=(x-5)3y2=(x-5)We  have to setup definite integral from x=4 to x=5

Q: Show that f and g are inverse functions analytically and graphically. - 1 f(x) = 5x + 1, g(x) = ) =…

A: f(x) and g(x) are inverse of each otheriff(g(x)) = g(f(x)) = x

Q: n=1 (-4)"-1 5"

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Q: The following integral can be evaluated by using substitution: a) Identify the inside function. u=…

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Q: 2 if x > 0 -2 if x < 0 c. Find the domain and Let f(x) = a. f(-13) = a. Find f(-13) and f(11). b.…

A: The function is given as÷

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Q: Given the expression 14 · (1 + 0.20)2x, determine the percent rate of change.

A: This is question of calculushere equation is given we have to further elaborate and find…

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Q: Determine all intervals on which the graph of f is decreasing. Answer Attempt 1 out of 2 Additional…

A: As we know The function f(x) decreasing  whenif

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A: The differential equation is given as ,find the solution.

Q: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

Q: Given the series: Σ [In(2(k+ 1)) - In(2k)] k=4 does this series converge or diverge? O diverges O…

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Q: please answer and explain the reason why it is linear or not + y ² dy ³ dx dy 3. y = 2x dx Order:…

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Q: Question 23.2 You have been provided with the following initial value problem y"+ 4y = 12t 9 (0) = 2…

A: We solve the given problem using the Laplace transform method.

Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

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Q: 2. (Mean Value Theorem for Integrals) If f(x) is continuous over an interval [a, b], then there is…

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Q: Q2/ Find the area bounded by the curves y x2and y- 2x - x² using numerical integration.

A: We have to find the area bounded by the curves.

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A: Let f(x, y) and its first and second derivatives are continuous at (a, b) and that, , then1) f has…

Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

A: The graph of the function is given.The aim is to find the  Relative minimum values  Relative maximum…

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. 4|x,…

A: The graph is shown below:

Q: Consider the rectangle shown in the figure. y (a) Find the area of the rectangle as a function of x.…

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Q: please answer and explain the reason why it is linear or not 2. (dv) ² Order: Degree: + 7x2 dy 2 dy…

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Q: -2x² Estimate the area under the graph of f(x) = e (round your answer to six decimal places) M₁ =…

A: Given , f(x) = e−2x2To estimate the area under the graph of f(x) from x=0 to x = 2 with n =4