= Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x + 27. x² + 3x + 19 and

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Q: Consider the function f(x) = 6x2−4x+ 5 and the interval 1 ≤x ≤6. Find the number c that satisfies…

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Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

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Q: Differentiate. g'(0) = g(0) = eº (tan(0) — 0)

A: dexdx=ex  d(tanx)dx=sec2xd dx(a.b)=adbdx+bdadxgiven  g(θ)=eθ(tanθ-θ)

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Q: 5) Find the divergence of (√x² + + z ²) kî + yî + zk)

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Q: t+1' The park is concerned about the number of invasive insects found along their hiking trails. The…

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Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

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Q: Suppose the graph below has the formy - Asin(Bx) + C. 2505042 Ов 15 10 Find the value of B. OB = 1…

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Q: Find the area of the region bounded by the given curves. (6,12) LY

A: The graph of the function is given  We have to find the area of the region .

Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

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Q: solve: y" - Hý + 4y = 40st; y(0)=2₁ y(0)=5 using Laplace transform

A: y''-4y'+4y=4cos 2t Taking Laplace transform on both…

Q: f(x) = (2x³ + 8), (1, 100)

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Q: Differentiate the function. g(t) = 9t + 8t² g'(t) = 9+16x X

A: given  g(t)=9t+8t2we know  dtndt=ntn-1g'(t)=d(g(t))dt

Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Find the area under the given curve over the indicated interval. y=x²: [0, 5] The area under the…

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Q: 2. Find an equation for the tangent line to the cycloid x = et + 3, y = t² et - 3et + 2 at the point…

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Q: Find the area of the surface generated when y = 2√x from 1 ≤ x ≤ 4 is rotated around the x-axis.

A: We are required to find the area of the surface generated when y=2x is rotated around the x axis…

Q: particular computer accessory was purchased for Ve dollars in 2018. The value of the accessory, V,…

A: We know that A = P 1+rt where A is the estimated amount after t years P is the initial amount r is…

Q: Center: Radius:

A: Given query is to find centre and the radius of the circle.

Q: 12 C 10 B A 2 F G H D E

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Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

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Q: If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: Use the piecewise defined function to answer the questions below. 7√x²+1 f(x) = 28 X+8 (x+5)(x-19)…

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Q: Find the area between the curve and the x-axis over the indicated interval. 2 y = 36-x [-6, 6] The…

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Q: Consider the following function: f(x) = −x4 + 8x2 + 2   Enter the x-values of any local minima,…

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Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

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Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

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Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

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Q: Find f sin ¹xdx -

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Q: The average cost per item to produce q items is given by a(g) 0.01g²-0.6q+17, for q>0. What is the…

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Q: The revenue in dollars generated from a sale of x picnic tables is given by R(x) = 22x- (a) Find the…

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Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

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