S dx √1-x² O-√1-z² sin-¹ z²+z+C O-√1-² sin¹z+z+C O None of the choices O-In 1-2² | sin¹2² +2+C -1 O-In 1-2² | sin ¹2+2+C < Previous x sin-1 *

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 3. Lim In(x+1)3 X48 6x 3

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Q: 1. Find the limī lim In(sin x) X→π-

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Q: Find the length of the curve y=In (cos x), -≤x≤0. The length of the curve is. (Type an exact…

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Q: ***********Please print your data chart and graph on Excel and attach to this sheet************ You…

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Q: what is Γ(1/2) ? show solution. prove that it is equal to -1/2!

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Q: (3x² + 5x-2) dx

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Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: 1. Find the limit. lim x118 5x³ + 3x² X- 7x²

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Q: Find f'(a) for f'(a)= 10x13 Answers Attempt 4 of 4 f(x) = 3 + 13x - 5x².

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Q: Lim x²-4 x-x-6

A: Using L-Hospitals rule

Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: Given curves y=x^2 and x=y^2

Q: 6.0 4 -4x x5e хе dx

A: I am attaching image so that you understand each and every step.

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

A: Given a tank contains 50kg of salt and 2000ltrs of watera solution of the concetration 0.0125kg of…

Q: B. Find all the values of x on the open interval (-5,5) where g is increasing. Justify your…

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Q: 2. Evaluate: √²³ √ 2 - x + x dr

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Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

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Q: 5 √₁ (2x² - 2. 2 (2x² – 3x) dx

A: We can solve the definite integration as below.

Q: Find the measures of the angles of the triangle whose vertices are A=(-2,0), B=(3,3), and C=(1,-1).…

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Q: find given f (x, y) = eª + 2xy² – 4y at (0, 3) af dy'

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Q: √√x+1 Sketch the graph of the function Determine the value of x when y = 3, algebraically and…

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Q: Lim √2+x² X

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Q: et +ex -x²-2 Lim- x-0 sin²x-x²

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Q: Water is leaking out of an inverted conical tank at a rate of 8100 cubic centimeters per min at the…

A: I am attaching image so that you understand each and every step.

Q: The degree of the term 8(x³y)2 is 6. صواب ه خطأ

A: Find the degree of term

Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

Q: The following series are geometric series. Determine whether each series converges or not. For the…

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Q: 4. Given z = x-y x+y Find əz/ax 4

A: z=x-yx+y differentiate partially with respect to x

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) Vf|(1,2,2) = Oi+Dj+Ok (Type integers or simplified…

A: ∇f(x,y,z) = ∂∂xi+∂∂yj+∂∂zkf(x,y,z)

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

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Q: f(In x)2 dx O-r(Inz)² - zlnz+z+C -z(lnx)² + zlnz+ 2z+C O-r(Inz)² - zlnz+z O None of the choices…

A: Answer :- None of these choices

Q: 1 Lim x-0* x 1 sin x

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Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. X y(x) =…

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Q: y = f(x) denote the function defined as x²+x-2, if x < 1; f(x) = 1 X, if 1 ≤ x < 2; √x – 1, if x ≥…

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Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

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Q: [ * ² {( x=-62² ) + x ² (2 X-67 ° S - XP(x - 5] [9_xP ( _ex-b^) -b). E [+5₁ dx=6₂ 3 My = 3dx = 1/2/2

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Q: Find the cross product a × b. a = (9, 0, -4), b = (0, 8, 0) Verify that it is orthogonal to both a…

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Q: The base of a right triangle is decreasing at a rate of 2 meters per hour and the height is…

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Q: 2. (D³6D2 + 12D - 8)y = 0

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Q: The Maximum point of y= (x²+2x+10) (x-3)

A: Given    find derivative

Q: 4 = Suppose sin 0 = and is in quadrant IV 5 Find the exact values of the other five trigonometric…

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Q: Find the derivative of 10 5x - 4. 1 5 9 X (10) 5x-4 Click here to enter answer Back Delete Clear…

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Q: Given ~ √x³ √4-x² dx. Ⓒ-² (4-2²) dz Ⓒ√2 (4-2) 1/² d Ⓒ/(x++4+²) dz Ⓒ -√2² (4-2²) ³/2 dz dx. If we let…

A: topic- indefinite integral

Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: Lim x-0 e³ +ex -x²-2 sin² x-x²

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Q: Find the following improper integrals a) Ꮭ -dx 1 x2+x ex b) fodr dx e2x+3

A: We have to solve the given improper integration

Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

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Q: Use the given conditions to write an equation for the line in point-slope form. 5 4 Passing through…

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Q: Differentiate   f(x) = (4x3 + 1)2   using the product rule.

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