Find the volume of the solid generated by revolving the area bounded by the given curves about the indicated axis. (use the most appropriate method) 1. y = sinx, x = 0, y = 1; about y = 1

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: Q3: Fill in the blanks in the following: 1. If a=(3,-2, 6) and b =(4,-1,-6) the axb = ********* 2.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

A: To determine whether the given series converges or diverges.∑n=1∞ln n2n

Q: 4. 2x³y = y (g2 + 3z2)

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Q: Evaluate (x+2√Y) ds where C is given in the accompanying figure. (x+2√y) ds =D (Type an exact…

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: 19 A curve with polar equation r = 8 sin 0+17 cos 0 represents a line. This line has a Cartesian…

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Q: Exercise 0.3.23. (a) Prove that the function f(x) = vex over [0, ∞). 1 1+e™ is strictly con-

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: 10. f3, (x²-1) dx

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Q: (d) Given r(t) = (ln(t+1), t cos 2t, 2¹). (i) Find r'(t). (ii) Find parametric equations for the…

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: Basic Ca Derivatives Water is being poured at a rate of 5m^3/s into an inverted conical tank of…

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship…

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Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: : Evaluate the following integrate: 1- S x²dx √9-x² 2-√(2 + 5x) e dx

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Q: Let (1) u(x, y) = xx vx, (2) u(x, y) = In(ex + ey). (3)

A: u(x,y)=xyyx u(x,y)=ln(ex+ey) Repost the next parts.

Q: dw Q11- express by using the chain rule: w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: The objective is to find the derivative using chain rule.

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: (x²-1) + 2y = (x + 1)² dy dx

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Q: B. The vector =(4,-2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

A: Note: Here, question A is an initial value problem (IVP) but initial values are not given.Therefore,…

Q: 3 2. x1 + x² dx

A: Definate integration

Q: Use the given information to find f '(2). g(2) = 3 and g'(2) = -2 h(2) = -1 and h'(2) = 5 g(x) h(x)…

A: Given, g(2)=3 , g'(2)=-2, h(2)=-1 , h'(2)=5, f(x)=g(x)h(x)

Q: y = tan (xxy) -1

A: We have to evaluate the following differential equation.

Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A: 1.the formula of derivative of two function is fg'=fg'+gf'

Q: C Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that…

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Q: Find ² of 2 = 2x³ - 5xy² z xy

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Q: dy Q1: Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y cosh-¹ sin 2x -1 3- y = asinh…

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Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: B. Find the general solution of the following 2nd order differential equation: y +2y + 2y = 0

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Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: Q2:Expand using Maclourin series (1 - x 1-x² 2 ln(1 + x4) )? -

A: As per our guideline we are supposed to answer only one question of  multiple type of questions.…

Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

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Q: Suppose that the position of a particle is given by s(t) = 3t³ +7t + 9. (a) Find the velocity at…

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Q: Question 36 To integrate x³ ex dx, we apply integration by parts and in the form u dv, dv is set as:…

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Q: SPC Student Login - CX mic Grades - MAC231 X 2311 Section 3.3 X MindTap - Cenga X CalcView | Calculi…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2 the x- axis, and the y-axis is…

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Q: Question 5 What is the amount of work done on a spring when it is compressed from its natural length…

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Q: 2. 5x - 2 (x + 3)² S dx.

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Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: Evaluate 7/2 Iva each of the following:- √2 √ tane do

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Question R is the region bounded by the functions f(x) = + 1 and g(x) = - +7 over the interval [a,…

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Q: Look for the volume of the solid produced by rotating the region enclosed by y = sin x, x = 0, y =1…

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Q: Derive the following function 8. y = tanh-1(sinx)

A: We have to find  the derivative

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: To find out the volume of revolution.

Q: 4. y = = csc 1+2x) cot(1-2x)

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Q: below F(x) = 1.) lim f(x) = X-3 x-3 x² +1 4x + 5 2x² - 1 if x 3 2.) lim f(x) = X-0

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: fz² dz along the indicated paths: -1+i -1 C 0 (a) 1 1 + i 17 0 (b) 1

A: