Fint the volume generated by revolving the area bounded by y= x^2 + 1, x=0, x=2 about y=0

Q: Find the first derivative of * An(In(In x)) 1 x In x (x In(In x)) In x In(In x) Option 2 Option 4 1…

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Q: Find an equation of the line that passes through the points. (-4, 7), (1, 2) Sketch the line. 10 -10…

A: Equating the two given points,

Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b.…

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Q: Convert the point from rectangular coordinates to cylindrical coordinates., (9, 3/3, -8) (r, 0, z) =

A: Cylindrical coordinate - r,θ,z where, r=x2+y2   and   θ=tan-1yx.

Q: 8 12 Vi VF dt 2.

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Q: Find the area between (bounded) by the curves y = x2 + 10x and y = 2x + 9.

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Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

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Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: 2. Evaluate: | V12 – x|+x dx

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Q: Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

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Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: Find an equation of the hyperbola that has vertices (0, ±3) and foci (0,±4). Equation: = 1

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

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Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

Q: Father of Calculus Isaac Newton and Gottfried Wilhelm Leibniz Hipparchus of Nicaea Antoine Lavoisier…

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Q: Please let me know what answer choice to Choose A,B,C, or

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

A: To find the horizontal and vertical tangents to the given curve.

Q: 2. Find the equation of the normal line to the graph of y = x(1+ In x) at x = e. Write your answer…

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Q: 2 3 2 [4х - 5х + бх + 9) dr

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Q: -5x+ y=-3 3x-8y 24

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Q: Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v.…

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Q: 1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

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Q: - Given cost and price (demand) functions C(q) = 100q + 45,300 and p(q) = 2q +900, what profit can…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: We have to find the rate of change of surface area.

Q: Find the length of the curve defined by from = 9 to z = 10. 2 y-4lm (()²-1) =

A: find derivative

Q: A car leaves leaves the sa the first car at that insta

A: Here we have to find the rate at which the distance between the two cars is changing.

Q: -5x+y3-3 3x -8y 24

A: We have to solve the given equations

Q: 25-x dy dx c)

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Q: x² cotx³ cscx³ dx =

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Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

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Q: Learning Task 5: Analyze the given condition and calculate the sum using the properties of sigma…

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01 )…

A: Differentiation need to be done appropriately.

Q: Let f(x) = 2log, (x) - f'(x) = ƒ' (1) =

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Q: 2X Cos(スx) dydk 12

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Q: Graph the damped vibration curve for 0 ≤t≤. -t/ (5) d(t) = e cos (2t) Choose the correct graph of…

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Q: Let f(x) = (lnx)7 f’(x) = ƒ' (e¹) =

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Q: Determine dyldx y= (r' +2)°and 1 = x %3D 2x² + 2x 3 5(x + 2) 3 Option 1 O Option 2 1 x2 +x2 2 (x +…

A: See  this  solution in below

Q: 5. Use the shell method to find the volume of an ellipsoid formed when that part of the ellipse x2 +…

A: Given

Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

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Q: A fencing is limited to 50m length. What is the maximum rectangular area that can be fenced in using…

A: Recall:  Area of rectangle=length*breadth

Q: y= v16-x -4 -2 2

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Q: 3. (a) y(8) when y=cos 2x 2 (b) y(9) when y=3 cos t 3

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Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: Let f(x) =x' - 7x² +2. Find (f")'(-4)

A: We know that  f-1'(a) = 1f'f-1(a)

Q: Find all the second-order partial derivatives of the following function. h(x.y) = 2x e +y +4

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Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 2.F(s) = s4+s2

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Q: Given a Fibonacci sequence, evaluate the sum of 1/ (an 1 x an+1) from 2 to infinity. А. О В. -1/2 C.…

A: We have to find the sum of series.