Determine the volume of a solid by integrating a cross-section (the slicing method). Determine the volume of the solid that lies between planes perpendicular to the z-axis at z =0 and z = 2. The cross sections perpendicular to the z-axis on the interval 0

Q: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be: c...

Q: Jason needs 24 feet of fencing. The fencing is priced at $0.25 per inch. How much will it cost Jason...

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Q: Write an expression for the distance w in terms of y. Simplify your answer and write the terms in de...

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Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 2. The function f(x, y)=...

A: We have to find degree of homogeneous function

Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1

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Q: Find the set of points satisfying the equation in the complex variable z: |z* + 2i| = I(z − 3i)| whe...

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Q: Evaluate the definite integrals using the graph of f (x) below. 4- y 2- 2 10 12 -2- -6 (a) Number (b...

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Q: The radius of a circle is 8 inches. Find the number of radians in the central angle of the circle wh...

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Q: (ve"cosy - 3)dx +N(x, y)dy = 0

A: Differential equation of form M(x,y)dx+N(x,y)dy=0 is said to be exact when it satisfies the conditio...

Q: x*dy+ (2.xy – y² }tx = 0 Let the substitution y=²; y=vx; dy=vdx+ xdv v = =

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Q: 4. sec? xcotx- cotx

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Q: Agree. then lim f(x) does not exist. Disagree 3. If f(a) is undefined, Justify:

A: Given

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the inter...

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Q: The functions f and g defined by F(x) =-2÷[|3x-9|] G(x)=x^2 + 9 -[ square root( x+4)÷8]-4 Respective...

A: Given:   To determine: The domains of both functions

Q: 1. yʻdx + (x²+ 3xy + 4y²)dy = 0 when y(0) = 1 %3D

A: Given DE is y2dx+x2+3xy+4y2dy=0 and y0=1

Q: Please solve and show all work. Thank you!

A: Topic:- geometry

Q: EVALUATE THE INTEGRAL OF THE FOLLOWING. INDEFINITE INTEGRALS. CLEAR

A: We will find the integral's value. 

Q: If the limit of a function f at x-3 equals -4, then which of the following are true?

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Q: 1

A: In this given question interval  is not mentioned  for tanx .and we know the range of tanx is R  Whe...

Q: y=2C1cos(2x)+C2sin(2x), Eliminate Arbitrary Constant

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Q: Recall from our lesson that a Non - Homogenous 2nd Order Differential Equation has 2 sides: The Char...

A: Given that, There are two differential equations following, (i). y'' - 3y' - 10y = 5e-2x (ii). y'' +...

Q: 1. Determine the area under the curve y = x² + 5 from xX1 = 0 to x2 = 1.

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Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)= ...

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Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: and evaluate the integral that gives the volume of the solid generated by revolving the plane region...

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Q: e^X – 3x^2 = 0, [3, 5] Use the Newton’s method and Secant Method  to find solutions to within 10^-4

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Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Figure of y=x3 , y=1 and x=1

Q: (2xy – tany)dx + (x² – xsec³y)dy = 0; y(1) = =

A: Given:

Q: [10] Find y' of arcsin x/y + arccos y/x = 1

A: Differences

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the given limit.limx→∞ ex+13x1x  

Q: Agree. Disagree 1. Is it correct to say that we can only get an estimate of a limit? Why do You say ...

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Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in q...

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Q: x^2y=4+Cy Eliminate Arbitrary Constant

A: Here we will eliminate arbitrary constant,  

Q: 0.2 0.4 0.6 0.8 1.0 (sec) s (ft) 0. 0.5 1.5 4.0 6.4 9.6 (a) Find the average velocity over the inter...

A: Given that:                          

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: Evaluate sin? () : 1/2

A: Given that; sin2π3

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: 23. Solve for x: 3ax-1=4 24. Solve for x: 3ax-4a =7+3ax 25. Solve for x: 3ar-4ax =7+3a

A: As we know from the fraction rule: a-b=-ab 23). Given: 3ax-1=4  ...(1)  

Q: P3.A: Find the area bounded by the curve y = (X 2)(x+ 1)(2x - 1) and x-axis.

A: Given curve is y=(x-2)(x+1)(2x-1) area between curve and x axis is required to find.  

Q: All parts of this problem refer to the function below. y = (9+ 6x)²/¤ dy a) Use logarithmic differen...

A: We have to find derivative

Q: Which of the following is not in the domain of cot(x)? Select all correct answers. Select all that a...

A: Note that:- Domain of cot(x) is R-{nπ , n∈Z}  Where is R is set of all real numbers and Z is set of ...

Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: 1. Consider the following vector, T = (-1,1), (a) Find two unit vectors parallel to v. (b) Find a ve...

A: Given,v=-i^+j^a) Find unit vector parallel to v.We know thatv^=vvv^=-i^+j^(-1)2+12v^=-i^+j^1+1v^=-i^...

Q: What is the period of G(x) = 5 sin(3x - 3 T)? %3D 2pi 2pi/3 2pi/5

A: Given that: G(x)=5sin(3x-3π)

Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=2; y = vx; dy=vdx+ xdv

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Q: Evaluate f (5+ln æ)? -dx. Give your answer as a simplified fraction if necessary. The value of the d...

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Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the poi...

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...

Q: If F(x)=[ cos(t² +1)dt , calculate using the fundamental theorem of calculus derived version.

A: Given : F(x)=∫-xxcos(t2+1)dt Aim: to calculate using the fundamental theorem of calculus ,the  deriv...