(D3-2D2-5D +6)y=e4x, Find Yp O a. 1 24 Ob. 1.4% O c. 1 4x 4x O d. 1 4x e 18 O e. none

Q: a) Find the domain of f(x) 4x² x + 3 1. All real numbers except x = 4 2. All real numbers except x =…

A: a)   f(x)=4x2x+3for domain,    x+3≠0

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 5x ¨°C et + C₂e²t. + O b. -X ce c₁₂e-x + c₂e-²x + OC. O…

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Q: Tutorial Exercise Find the derivative. Step 1 The given function y = In -In (4+) can be written as y…

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Q: Evaluate the definite integral. S² 3esin (2) cos(x)dr 0

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Q: Consider the function f(x) = 2 – 2x²/³ on the interval [-1,1]. Which of the three hypotheses of…

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Q: Find each limit, if it exists. If the limit does not exist, explain why. 1. lim x x² - x + 6 2 (x +…

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Q: (c) Sª sec² (2x) dx

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Q: Problem 7, continued (still with f(x) = x/²). (c) A particle is moving on the graph of y = f(x). Its…

A: Given Function,fx = 12x32y = fx,at x =2 , we have  dxdt = 5

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Q: infinite

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Q: In Problems 11 through 14, use the method of Example 4 to find two linearly independent power series…

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Q: SF· dS where  F(x, y, z)  =  xyi − y2j − 5zk  and  S is the sphere  x2 + y2 + z2  =  9  with outward…

A: Evaluate F.dS where  F(x, y, z)  =  xyi − y2j − 5zk  and  S is the sphere  x2 + y2 + z2  =  9  with…

Q: our answer. Partial credits are available but will not get point. 1. Assume that the total cost…

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd…

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Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).

Q: Let F(x) = f f(t) dt, where f is the function whose graph is shown. Evaluate F(3) 3 2₁ 1 -1+ -2+ ین…

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Q: Find the radius of convergence of the power series. (If you need to use oo or -co, enter INFINITY or…

A: Given: ∑n=0∞-1nxnn+8 So, an=-1nxnn+8

Q: Find the roots of (D4 + 4)y = 0 O +2i, ±2i + 2 O b. 2+2i, ti Oc1ti, - 1 ti Od-1 ti, 2+2i O e. none

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Q: Let f(x) = x + √√1 – Find the local maximum and minimum values of f using both the first and second…

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Q: Find the area under the given curve over the indicated interval. y = 2x; [3, 5] 12+ 0 y ff ai 6

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Q: Consider the initial value problem for the function y, (t, y) y' - 3 = cos(t) y² 3 y(0) = 1. (a)…

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Q: Find d [fa²dA where R = {(x, y) | 4z² +9y² ≤ 36} Question Help: Video Submit Question Jump to Answer

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Q: estion 4 Arial Find the total cost function for the g C'(x)=1.5x²-8.4x+64 where 4 units cost $250…

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Q: (D2-3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 *C₁² + €₂²¹ +2³² 12 O b. ³² C₂₁ ²² +₁₂=²+ = 12e-² -5x 12 O…

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Q: In Exercises 61-66, find an equation for each graph. 61. AA -2" 2 4m 67

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Q: Determine the intervals on which f is increasing or decreasing, assuming the figure below is the…

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Q: 2. Determine the moment of inertia of the region bounded by the lines 3x-y=0, x-7=0, and the x-axis…

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Q: Consider the following problem: a farmer with 850 feet of fencing wants to enclose a rectangular…

A: We know Area of rectangle=Length×width

Q: - r(t) = (81²)i + (5t − 2) ƒ + (81³) k at - at t = 7.

A: Please see the below picture for detailed solution.

Q: Evaluate the indefinite integral. 5 sin³ (2) cos(x)dx = +C

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Q: TT/6 sin t 10 - dt cos²t

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Q: Find the indicated derivatives if A is a real number constant. a. dt In(t+2) 4t³ b. For y = A…

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Q: C. Verify by substitution that each given function is a solution of the given differential equation.…

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Q: Evaluate the definite integral    D=∫1/20sin(πt)dt. NOTE: Use exact values only. Do not provide a…

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Q: 5 3 2 1 Find the area under the curve y 5 I over the interval [1, 2].

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

Q: If f(x) = x² + 6, g(x) = x - 8 and h(x)=√x, then f(g(h(x))) =

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Q: 8) Estimate ₂x¹dx using the average of a left-hand and right-hand Riemann sum with n = 5. You can…

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Q: Evaluate fry³dx + x³dy, where C' is the rectangle with vertices (0,0), (6,0), (6,2), and (0,2).

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Q: 3 ¹/²₂ (62²¹ +42²) dæ Find Question Help: Video Message instructor Submit Question Jump to Answer

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Q: 7 Given that f(x) dx 7 evaluate f(x f f(x) dx. = 5 and 5 f f(x) d dx = 4,

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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

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Q: EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

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Q: Consider the vector field F = (x³y¹, x¹y³) Is this vector field Conservative? Select an answer If…

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Q: ticle's velocity and acceleration vectors at time t = 0. & gives the position of a particle in space…

A: given equation is  r(t)=6(1+t)32i+6(1-t)32j+9tknow r'(t)=6ddt1+t32i+6ddt1-t32j+9ddttk…