1. Find the area of the shaded region. b. (-3,7) y=x²-2 10- y=-2r+1 2 (1,-1)

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A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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Q: Find the differential. dy = y = 6x² - x + 7 Evaluate for the given x and dx. x = 2, dx = 0.1 dy

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Q: II. Find the Laplace transform of the ff. 2] f(t)=3, 04 ²+2, = 24

A: To find the Laplace transform of the following function. ft=3, 0<t<2t2+2t, 2<t<424,…

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Q: The graph of the derivative f' of a continuous function f is given below 40- 20 An -6 -5 -4 -3 -2 -1…

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Q: Find the area of the surface. The part of the plane 4x + 4y + z = 16 that lies inside the cylinder…

A: The surface area of the plane is given by:   S=∫x1x2∫y1y21+∂z∂x2+∂z∂y2dydx   From the given…

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A: Consider the function.  y=4xy-4x+2y³

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Q: Find the area of the surface. The part of the plane 4x + 4y + z = 16 that lies inside the cylinder…

A: To compute the surface area of the region we use the double integrals formula…

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Q: 8. The nth-Term Test can be used to determine divergence for which of the following series? 1. (A)…

A: nth term test If limn→∞∑n=0∞an=L then series divergers. Where, L is any arbitrary value except zero.…

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Q: 36. Carbon-14 Dating Measurement Sensitivity To see the effect of a relatively small error in the…

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Q: (e) Determine the intervals over which the function F(x) = fedt is concave up and oncave down.

A: formula used  sum of squares of 'n' natural numbers∑i2i=1n =  nn+1(2n+1)6

Q: Determine the location and val f(x)=x³ e-x; [-1,4] -X.

A: The given function is f(x)=x3e-x ; [-1,4] To find the absolute maximum and minimum of the function.…

Q: Simplify the following Expression. 2 8x√4x-5² - (4x²-5) (²) (4x-5) ¹2 (4) 4x-5

A: Basic algebric expression

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A: I am attaching an image so that you understand each and every step.

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Q: Solve for x, log(2x) + log(x-9)=log(44) A B (С D x = 11 x=11 and x=-2 x=2, x=-11 None of the other…

A: Question-1

Q: Find the equation of the tangent link to f(x)=x³+x²+x @x=3 A y=34x-63 B D y=-12x-36 y=12x-36…

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Q: Zero of 5+ i, 4-i, and f(0) = 1 DC=Sti/ x=4-1 (r-sti) (x²+4-i)

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Q: 3. What values do the following functions approach as t gets very large? What values do they have at…

A: 3. d) f(t)=-e(-2t)+2      e) f(t)=5e(-7t)-11       f) f(t)=4e(5t)-3

Q: Let yn = 1.7yn-1 +27 be a linear DDS. a) Suppose the initial value is yo = Yn 48. Find the explicit…

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Q: a. f(x) = x³ tan x + 9x-4 b. f(x) = cos x 5 18-secx iniog srt 16 S+x8-x=xvius srit of enil Inggrist…

A: (a)  f(x)=x3tanx+9x-4formula used (i) d dx(xn)=nxn-1(ii) d dx(tanx)=sec2x(iii)  d…

Q: dx Assume that y = 8x and = 9. Find dt dy dt || (Simplify your answer.) dy dt

A: y=8x and dxdt=9

Q: 1. Determine the intersection (if any) of the followin indicate which question you are doing in each…

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Q: Let r(t) = = Find a fr(t)dt ( )dt (don't include the +C) fr(t)dt = < [

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Q: 4) The force F = 2i-j-5k acts as the point (-5,2,1). Find the torque due to F about the origin and…

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Q: Only one of the following statements is (always) correct (A) The graph of y = f-¹(x) can be obtained…

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Q: State the absolute maximum and minimum values attained by each of the following functions defined…

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Q: QUESTION 6 Determine if the given function y = f(x) is a solution of the accompanying differential…

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Q: Solve the logarithmic equation. Inx+ Inx² = 24

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Q: 1 The height of a body moving vertically is given by s = - −gt² + v₁t+S₁, g> 0, with s in 2 meters…

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