1. Find the area of the region bounded by the graphs of the equation y = x and y ?.

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Q: y"-7y'= (2x –1)sin 2x

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Q: Pls help ASAP. Pls show all work and calcualtions. And pls show each and every step.

A: To find out the derivative of the function.   

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Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: x- , y- In(t) (a) Eliminate the parameter to find a Cartesian equation that represents the curve. (b...

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Q: 3. If y = (sin 4x)², find y' %3D a.) 4 sin4x cos 4x b.) -4 sin4x cos 4x c.) -8 sin 4x cos 4x d.) 8 s...

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A: Given query is to find the length of the beam.

Q: ate the Power Reducing Identities for sine, cosine, and tangent: s²(N) an²(N)

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Q: 8. 1 (b) 2 11k + 1 The series converges. eTextbo diverges. may or may not converge; it cannot be det...

A: A)∑k=1∞ 111k = 111+1112+1113+1114+.........+∞is the GEOMETRIC series with r = 111 < 1As per the p...

Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

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Q: 16. Evaluate S x² cos(x³) dx a.) -sin(x³) + C b.) sin(x') + C c.) - sin(x³) + C d.) sin(x') + C

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Q: 11T Find the exact value of tan 6. 4т • sin (That dot between the two trigonometric functions repres...

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Q: sinx cos x-1 Use the trigonometric limits lim 1 and/or lim = 0 to evaluate the following limit. x-0 ...

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Q: 1. d'y_dy - 42 + y =r²-2t +3 dr dt 2. y"-7y'=(2x-1)sin 2x 3. y'-5y=xe" – xe*

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

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Q: Find the unit vector having the same direction as i = ( – 1,9). V82 V82, 9. of- 1 9. V82 V82 O (1, 1...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: Using integration by parts, evaluate x cos(3x) dx x cos 3x - sin 3x + C Option 1 x sin 3x - cos 3x +...

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Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

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Q: 2. A tonk initially contains 1oO gallons of brine whose concentration is 2 lb/gal. Brine whose salt ...

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Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f d...

A: Topic:- integration  

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Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t yfyy(x,y)=6ye-5...

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Q: The general solution of the DE: In-2y dx – y-le-3*dy=0 A None of the given choices B e – 3ln³y=c C) ...

A: Given: ln-2ydx-y-1e-3xdy=0 We know that; The Power rule: ∫xndx=xn+1n+1+C; n≠-1 And ∫eax+bdx=eax+ba+C...

Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

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Q: Solve the differential equation (7x – 4y + 15)dy + (2x – 5y + 12)dx = 0 when x = 3, y = 2

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Q: 20. Let h be the function defined by h(x) = [", sin²r dt. Which of the following is an equation for ...

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Q: 15 dx Evaluate V9+ x²

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

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