Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the specified axis using the disk/washer method. y = x2 – 1, y = 0, x = 1, x = 2, about x = 1 %3D %3D

Q: 2 . Complete the following tables of values to investigate (x - 2x + 4) f(æ) f(x) 0.5 1.6 0.7 1.35 0...

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Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: 7/4 26. * sec*e tan 0 de sec*0 tan*o de

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Q: xdx 2. 3-x

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Q: (2xy + 1)dx + (x² + 4y)dy = 0 (17) (18) (6xy + 2y² – 5)dx + (3x² + 4xy – 6)dy = 0

A: 17)   Given that 2xy+1dx+x2+4ydy=0  Here  M=2xy+1,       N= x2+4y Therefore     ∂M∂y=2x,            ...

Q: 2. Let f(x) = ax+b cx+d (a) Show that if f is one-to-one, then ad bc + 0. (b) Show that if ad – bc +...

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Q: A glacier in Republica was observed to advance (h)2.5______ inches in a (i)____71_______ minute peri...

A: This is a basic problem of calculus

Q: Approximate 4   2 1 ln(x) dx using the midpoint rule with four subdivisions to four decimal places

A: Given: a = 2  b = 4   n = 4  f(x) = 1/ln(x) 

Q: kf (x) dx =k ] f(x)dx Jas(a))dx=f (x) +C D

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Q: the given expression x^2 - 3x + 4 is equal to. SUBMIT YOUR SOLUTION O 2ty - 2)^2 + 2 O 4(2x - 1)^2 +...

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Q: Pescribe how the graph of the function g(x) = - x can be obtained from the basic graph. Then graph t...

A: f(x) = xmultiply  by 1414f(x) =14 x      ( Vertical Shrink by 14)now multiply by (-) sign -14f(x) =-...

Q: Solve the differential equation 2xyy' = 1 + y". If y = 3 when x = 2, determine y when x = 1.

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Q: S cos3 x sin* x dx

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Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0  

Q: If ã = <!,2,37 and b=<5,0 -17, find the vector pojection of %3D %3D ŏ onto à.

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Q: T if the statement is true; otherwise, write F. (x) =, lim f(x) = f(2) %3D %3D x2 6+4t 3 t2+1f(-3) F...

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Q: 10 -10 At what values of x does ƒ (x) has an infinite limit (as x approaches this value)? Write down...

A: Given: To find at what value of x does f(x) has an infinite limit.

Q: 2. Examine the given graph of f(x) and evaluate the following. 44 а) lim f(x) = d) lim f(x) = 2 lim ...

A: We have to find the limit of f(x) using the graph of given function.

Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

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Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector...

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

A: Given query is to find the the limit of the expression.  

Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find the value of a and b

Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

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Q: Solve the differential equation (y¯+ y)dx - (y¯+ 2xy + x) dy = 0. If y = 1 when x = 3, determine x w...

A: Topic:- differential equations

Q: 7. Evaluate the integral I | sin(9.r² + 4y²)dA by hand, using an appropriate change of variables, wh...

A: The given question can be solved as shown in step2

Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the ...

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Select all transformations applied to the graph of function f(x) = Vx to get the graph of the functi...

A: Given query is to find the the transformation applied.

Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: che general solution of -V - 6y = 6x3 + 26 sin 2x

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Q: 1. Find the limit of the following: х* — 11x5 + 37x* +6х3 — 297x? + 621х — 405 - lim,-3 А. x→3 x° — ...

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Q: 11-18 Find the solution of the differential equation that satisfies the given initial condition. 12....

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve in detailed solution A. Í (4x³+x) v4x²+1dx B. (x+2) Vx+3dx

A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...

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Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2) =-1; f(3) =-3 Relatio...

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Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Find the domain of the vector function r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notatio...

A: Given vector function isrt=ln19t,t+8,17-tfind the domain.

Q: 0.4 ソミーxe* -1 -0.5 1.5 -0.2 -0.4 2.

A: During calculation of integral,  Substitute x^2 = t

Q: Linear Differential Equations (20) 3xy' – y = In(x + 1)

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Q: Find f(x) = x2+2 when f1(3)

A: Given that: f(x)=x2+2

Q: 12. Use the factor Hheveto determine whether x-C Isa fultol. offd.

A: (11). The given function is: f(x)=x4+8x3+12x2 ;       x+1

Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth i...

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Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?...

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Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

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Q: Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y- 4...

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Q: Use the information to answer the question. A student was given x - 1 when x <2 f(x) = 3x when x22 T...

A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

Q: Determine the particular solution of y"–3y'+2y=4e"; y(0)=-3,y'(0)=5 using Laplace and Inverse Laplac...

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Q: Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) | 6...

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