The Minimum point of y = 3x+6

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.  How fast does the tip of…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: efv. Evaluate dx Use rationalizing substitution. A B 8 √e² - 2 - 2√2 Arctan — √e² - 2 + C e³ − 2 −…

A: Let's evaluate given integral by using rationalizing substitution.

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: We can apply General Power Formula of Integration on which of the following integrals? A…

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Q: y = 2 sin 3x 1+3cos2x

A: We can solve this as follows:

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1 A unit2 B unit² unit² Ⓒ /…

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Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. lim…

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Q: Which of the following CANNOT be solved by method of undetermined coefficients? 1 A (D²+1)y=. cos x…

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Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

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Q: Q/IF 3 = sin(x) 0²³²141 y= (4) y = 3/2 I sin(x) cos(x) Prove that

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Q: To reduce the DE (x+2y-4)dx-(2x+y-5)dy=0 to a DE with homogeneous coefficients, use the…

A: solution:-x+2y-4dx-2x+y-5dy=0dydx=x+2y-42x+y-5the system of linear equation…

Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

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Q: The general solution of (D²-2D+1)y=2sin x y=C1eX + C>XeX + sinx By=c₁еx+c₂xe* +2sinx Cy=c₁еx+c₂xe* +…

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Q: How many antiderivatives does a function of the form f(x)=x" have when n*0? A may vary depending on…

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Q: Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4

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Q: A car is travelling at the rate of 88 ft/sec when the brakes are applied. The car begins to…

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Q: Determine the integral: x²cosxdx A x²sinx+2xcosx + 2 sinx + C B x²sinx-2xcosx-2sinx + C C)…

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Q: Q/IF 3= sin(X) (²314) y = 3² sin(x) cos(x) Prove that

A: To find y':

Q: dx Transforming secx + 1 2-2z² A 1+z² ® √ ₁ + 2²/1d² +z² B -dz 1-z² z²+z C / 1-z² Ⓒ / 1-²/²0 D 1+z²…

A: To find the transformation of the integral ∫dxsec x+1 after using miscellaneous substitution.

Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2 (A) none of the choices 128 B…

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Q: + 1) dx A B C (x + 2) (x - 1)² = √ [++^2 + == 1 + (0-12 dc. ]dx. dx, the values of A & C…

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Q: (os(t) 2 = Ste S₁ canned with CamScanner cos(+ sin(t)) dt

A: F = 12π∫02πecost·cosπ3+sintdtThis is a complex integrand, hence numerical technique is used. F =…

Q: Which of the following methods can be applied to find a particular solution yp of y" +y = cos(ex)?…

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Q: If y = arcsin (e5e), Check Answer dy da

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Q: Initially 80 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…

A: Let's find amount remaining after 40 hours.

Q: y=Arccos (x²)

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

Q: e integral be 'solvable' using trigonometric substitution. What is the correct choice of u given J…

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Q: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848

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Q: Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+cosh2x B 2ln3…

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Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: y = x²sin (3x)

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Q: What is the integral of the shaded region? * 8(y)-f(y)dy A. OA OB Oc OD B. İf(y) - g(y)dy a C. f(x)…

A: To find out the correct answer.

Q: π Evaluate the integral: sin(3x)cos(3x)dx 11/13 B (c) D 1/1/00 H|m

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Q: The improper integral (A) e B) © ⒸO D 1 8 Stoe ex dx is

A: Given that,

Q: Which of the following CANNOT be solved by method of undetermined coefficients? 1 A (D²+1)y: cos X B…

A: Let's find.

Q: QI/ sin x a) find dy/dx for the equation (y 1+cos x b) find f'(x) for the equation f(x) = sec x

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Q: If g (x) = — _ _[e¹ — ln(2t+1)]dt, find g''(x) dx -2 (A) B C) D 4 et + (2x + 1)2 4 et + (2x+1)2 e* -…

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Q: Evaluate the integral: 1 A 6 B С 3 D HIM P 16 sin(3x)cos(3x) dx

A: Solve by integration

Q: Solve the integral: feln(2x² + 3x-4)³ (4x+3) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: y = Arctan ( 2+x 1-2x

A: The derivative are

Q: 2. Use polar coordinates to find the volume of the solid under the paraboloid z = x² + y² and above…

A: Let's find volume of solid by using polar coordinates.

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…

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Q: ·S A B If D A (x+2)(x-1)² = √2 + x + 1 2 9 3 9 -la 1 I 2 93 1 9 2 9 3 . 2|3 B x-1 + C (x-1)2 (x -…

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: Evaluate the triple integral: A) 18 B) 24 C) 12 D) 6 3 2 S²³² S²(x+y+z)dydxdz 0

A: We have to find the value of given integral

Q: Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b] th then A True B False [ f(x)dxz…

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Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83л A -unit 3 125 43л 135 43л 125 83л…

A: Let's find volume of resulting solid.

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

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