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Q: Find a vector orthogonal to both and
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A: topic - Inverse trigonometric functions
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Q: 3) Find lim f(x) and lim f(x) x-(-1)- x-(-1)* -4 A) -2; -7 B) –7; -5 C) -7; -2 D) -5; -2
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Q: Let f(x) = (Vx + b² - b)/x, b > 0. What is the domain of f? (Select all that apply.) O (-∞, ∞) O(-62...
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Q: y = x2 y = 12 - x 16 14 12 10 8 2 10 12 (a) Find the area of the region by integrating with respect ...
A: Using formula of area using integration.
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Q: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and di...
A: Topic:- function & calculus
Q: 3 sin r Find the total area of the shaded region in the figure. The curves are y = 2 sin a and y
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Q: d. cos 3x = 0 e. tan 4x - 1 = 0
A: Given:- d. cos(3x) =0 e. tan(4x) -1=0 To find:- Solution of given equations
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A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost o...
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Q: (a) Given G is the solid right cylinder whose base is the region, R, in the ry-plane and whose top l...
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Q: Use the table of values of f to estimate the limit. 4) Let f(x) = x2 + 8x – 2, find lim f(x). х-2 4)...
A: topic - limits
Q: Find the general solution of the reducible second-order differential equation x?y" + 3xy' = 2
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Q: Ex if z- 5+3i F +2 madulus and argumend of 2 find conjuced fz and
A: Topic:- complex number
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A: NOTE: Refresh your page if you can't see any equations. . use L'hospital's rule
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A: Topic = Application of integration
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Q: Evaluate ∫-22(x+3)*(4-x2)1/2dx by writing it as a sum of two integrals and interpreting one of those...
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Q: Which of the following statements are TRUE? Select all that apply. dæ = arctan() + C 9-1622 4x da = ...
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Q: (1) Let f(x) = r3/7 – 5x!/5. Find and classify all critical points, all intervals of increase/decrea...
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Q: Find 2: (a) y = cos(1 1x + 5x)
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Q: 26. coS X 2-cos(x) A= Cas (x)-2-cos(x) Sintx)-2x-51n(x), 2x 1 -2(2) - 210) = 12.566
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Q: 7. f(x) = (x* – 4x).(x² – x') 8. f (x) = (x - 4).(x – 1) 9. f (x) = (x² – 4x).(x² – x²) 10. f (x) = ...
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Q: In a local school district, 2/3 of the new teachers have a unique mentor partner who is a veteran te...
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Q: 24. At what point(s) on the curve (y - 2)2 = x is the tangent line vertical? The tangent line is nev...
A: topic - vertical tangent line
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Q: • lim x2 - 16 x - 4+ A) 1 B) * C) 0 D) -
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Q: A force field F : R³ → R³ is given by F(x, y, z) = xî + y} + zk. Compute the work ſ. F · d³ done by ...
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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved a...
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Q: Let's Analyze Activity 1. Let's try another one with a little bit of twist. Determine where the give...
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Q: The parametric equation of the motion of a particle on a plane is given by 3/2. x = te + 2t12; y=t' ...
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Q: A graphing calculator is recommended. Use a table of values to estimate the value of the limit (corr...
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Q: Evaluate the function: S de x(x-2) -dx (x–1)³
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Q: 9 x3 dx V16 + 1 x? B For trigonometric substitution to solve the above integral, fill in the blanks ...
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Q: Let V(x, y) = 4x®y® + æ°y®. Which of the following regions are in the domain of f? D B C
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Q: 7)In(6) dx
A: The objective of the question is evaluate the indefinite integral.
Q: X. Jer
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Q: ) Let f(x) = 2x - x². Prove that f is integrable on [0,2] using either the definition or the - chara...
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Q: Consider the following. y = x2 y = 12 - x 16 14 12 10 y 10 12 (a) Find the area of the region by int...
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Q: Use left rectangles and delta x=0.5 to approximate the area under f(x)=2xsquared+6 from x=2 to x=4. ...
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- The velocity, v ms-1, of a fairground ride t seconds after it begins is given byv = (3e-t + 7)sin tWhat is the acceleration of the ride 2 seconds after it begins?solve for the coodinates of ther point for (b) and (c) as wellA particle moves such that its velocity at time t is given by: v = 3t2i + 2 cos(4t)j + t2k If its position x at time t = 0 is given by x(0) = 2i what is the position of the particle at time t? The position is...
- a. What is the particle's position when t=0? b. What is the particle's position when t=π/2? What is the particle's position when t=π?Consider a particle with a position function given by s(t)=48t-3t^2. When will the the particle decelerate?Find the solution for the damped motion. my'' + cy' + ky = 0 with m = 10, k = 90, y(0) = 0.16, y'(0) = 0, c = 60
- Find the value of d2y/dx2 at the point defined by the given value of t.x = 9 sin t, y = 9 cos t, t = 3pi/4 a) 2 square root of2 b) - 2squre root of2/9 c) -2 d) square root2/9∫0π/2[√(cos5t) sin5tdt] Hint: intergration by substitutionsolve this IVP without using Laplace: (use another method). in theory, will it give the same solution as Laplace ? why or why not ? y′′−a2y = cos(a + t) where y(0) = 1 and y′(0) = 2.