20, 21) S Omt Ð That {to nat { 9. Sin (0) Cos (36) + Cos (0) Sin (36) = G Solutions in the interval Find ait [0,21) 67

Q: 8. y = x², y = 3x; about the y-axi

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Q: pz-6^J (P)

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Q: Evaluate the integral. 1 S₁ √x (1+√√x) S 1 √x (1+√x)² dx dx=

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Q: Evaluate the given Laplace transform gia tran (t 0 a. b. C. d. - 1 s(S-1) 1 s²(5-1) 1 s² (s+1) 5+1…

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Q: Find f'(-2) if f(x) = 3 X 8 - 9x.

A: Given,           fx=x38-9xTo find : Find f'-2

Q: 4. Determine if this function is continuous at x = 0. XW0 x=0 sin 5. Find a value of c so that f(x)…

A: Please see the below picture for detailed solution.

Q: 7. Let f(x) f(x) = lnx T + (lnx)² at tim f6x) = X-0 X-700 faxin Xin (0,2). Find

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Q: Find the length of the curve. (2t+1)³/2 1² X = 2₁ Y = - 3 The length of the curve is 0≤t≤2 (Simplify…

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Q: The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.02 inch. Use…

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Q: can apply the definitions of even/oddness, absolute value to prove statements that involve cases.…

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Q: Solve the system by elimination: 4x - 3y-6z = 1 x-y-6z=5 6x - y = -11 Express your answer as an…

A: Given system of equations 4x - 3y -6z = 1 x - y - 6z = 5 6x - y = -11

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Q: If q(x) = 3x², 7ex find lim q(x). X→ +∞

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Q: Find dy/dx and d²y/dx². dy dx d²y dx² = X = cos(2t), y = cos(t), 0 < t < π For which values of t is…

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Q: 3. y = 1+5x Inx

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A: The normal line at x=1 of the curve y=x2+mx+n, where m=2 and n=3, intersects the curve at asecond…

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Q: Find the minimum distance from the point (-2, 2, -9) to the plane z - (4x + 3y) = 0. The minimum…

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Q: V. Find the third derivative: 1) y = 10 tan(x) - 2 cot(x) 2) y = x³ - x² sin (x) 1 3) y = 2 sin(x)-4…

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Q: [ (102¹ – 14x) dx = Show work and explain, in your own words, how you arrived at your answers. A

A: Topic = Integration

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Q: z = 8x² + 8y² + 18 nearest the plane 8y - 3x - 7z = 0.

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Q: Using green's theorem, evaluate the line integral xy^2dx + (1-xy^3)dy

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Q: C. Evaluate the following inverse Laplace transforms. 2. L-1 0-¹ ((+3)+-3-²-23) { 6

A: Given L-1{ 6( s + 3 )4 - ( 2s - 1 )s2 - 2s } Formula used L-1{ 1sn } = tn-1( n-1 )!

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Q: iven g(x) X 1 = 5₁° dt. Determine g'(0). t² + 1

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Q: οι 1uaSup1 2U1 IO UOLenba au b uomenba

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Q: ? Suppose flx) = 10 - x ² a) Find the slope of the tangent line to the graph yo fb) when x = 2 Slope…

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Q: 7. Use a Double-or-half Angle Formula to solve the equation in the interval [@₁2x] Noinutad 110 ANJ…

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Q: 1. (3x - 1)y' = 6y - 10(3x - 1)1/3

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Q: Evaluate x+3 x²+x-2 X x²+4x+4 2x²+11x+15

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Q: C. Evaluate the following inverse Laplace transforms. 3 1. C-1 (125 + -1 (125 + (+52) (s+5)²)

A: L-1{ 125s6 + 3( s + 5 )2 } Formula used L-1{ 1sn } = tn-1( n - 1 )!L{ e-atf( t ) } = F( s + a )L-1{…

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Q: C. Evaluate the following inverse Laplace transforms. 2-1 (1-25 +(353) 1.

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Q: 10. df f(x) = 3.² + 4x+ 2, find f(5) jccine The definition of derivative. f(5) is the limit. G5 X-7…

A: We have to find the value of f'(5) and equation of tangent.

Q: Write the first trigonometric function in terms of the second for in the given quadrant. tan (0),…

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Q: me value of k for which f(x) Sx² - kx if x ≤- 3-kx² if x>- [B][C] - [D] -3 [E] -1

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Q: If $700 is invested at interest rate i, compounded annually, in 5 yr it will grow to an amount A…

A: dxndx=nxn-1given  A=700(1+i)5