Evaluate the definite integral (18z 4x +3) da 4

Q: dy Find . da Given: 3x?y + xy = sin (x + y). %3D dy %3D da 2 sin(z+y) cos(r+y)+3ry-ry 2ay? +3ry+2…

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A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

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Q: Given: In(1+x) = n+1 if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

A: To solve the following problem

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Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 27 –14a5 –30z² +36x –8 2y5 -2x+2 dy %3D dæ 27+15* –…

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Q: 1. Given: r(r+8)(r – 2) (r+2)³ 8(7r-4) (x+2)4 f(r)= with f'(x) = and f"(x) = %3D %3D (r+2)² ' a.…

A: Given that the function is fx=x3-4x2x+22 its first derivative and second derivative is…

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Q: 12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist,…

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Q: Evaluate and write your answer in a + bi form. [3(cos 58° + i sin 58°)]* = Round to two decimal…

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Q: x³ + x2 – 4 1. Consider the function f(x) 4.x = x +1+ Note that x² – 4 x² – 4 - x²(x² – 12) (x² –…

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,z=1 y+1 3 z-1 %3D %3D За 2a Find the…

A: We have to find the point - normal equation of plane.

Q: Let A, B, and C be the following matrices. ] c-[] -8 6 -7 7 3 4 A = B 4 Find the products AC and BC.…

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A: We know that equation of plane passing throgh the point (x1,y1,z1) and perpendicular to the vector…

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A: Use the formula for the sum of n natural numbers.

Q: 2х -1 dx 2 V3– x+x²

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Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…

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Q: Mw.3 Find Ihe arca region for me fallowwig H.w.3 Regian bawndedby. nddy=x+2 Region b.audad.by X-5nd…

A: Area Bounded by the curves : If f(x) and g(x) be two continuous function and f(x)≥ g(x) on a≤x≤b ,…

Q: Question 4 Find the derivative 4f (x)]; ƒ (x) = log, (sinh(arcsec 4-1) coth (arcsec ( 4-1)) 422-2…

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Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

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Q: Consider the function f(x)=7/x^3−6/x^6 Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4)…

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Q: Given y = V/x – 2/x – 2; Find y! %3D | - O (E) None of the choices -2-1 5 2(x-2) 7 1-Va-2…

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Q: Use part I of the Fundamental Theorem of Calculus to find the deriyative of 12 १৩) | ( ) = dt f'(x)…

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Q: 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

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Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: Determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

A: To determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

Q: (-1)" Given: In(1+ x) : if x < 1. n +1 n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5)

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Q: 2r Find the absolute maximum and absolute minimum of the function f(x) = 2x 3 over the interval [0,…

A: Absolute Maximum and Absolute Minimum in a closed interval: step 1 : Find the critical point of the…

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Q: Suppose that P = (x, y) has polar coordinates (r, = ). Find the polar coordinates for the following…

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