2. S 2x5 Vx – 2 dx

Q: х + 3x +3x +1 (i) Find lim x1 2x +3x? –1 1-3х x< 4 (ii) Find the values of A, so that the function f...

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Q: 17. A landscape gardener wants to build an 8000-square foot rectangular display garden along the sid...

A: Let the lenght of the garden is =x foot  Breadth is = y foot  Therefore, area = lb  8000= xy  Now we...

Q: Find the area bounded by y = sin²(x) and y = sin5(x) from 0 < x<

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Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + k as adjacent sides. NOTE: E...

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Q: 5. S Vr3 In(Vx) dx 6. Si, Inx dx J1

A: This question is based on indefinite and definite integral.

Q: 3 N(x) = - 0.25x" + 22x° - 432x + 79,000 4 2 %3D

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Q: Find. S sin3 2x cos3 2x dx

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Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 ...

A: Given:-for conical tank height,  h0=10 ftradius,  r0=6 ftwater is leaking at the rate of 10 cubic fe...

Q: 2. Find the equation of the sphere with the given conditions: (a) center at (1, – 2, – 4) and its ta...

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Q: Find (e-*) dzdy A. 4ye-(*²+y²) B. 4xe-(2²+y²) C. 4xye-(x²+y²) D. -4xye-(a²+y²) OC OA OB None of the ...

A: Partially differentiate the function y= e-(x2+y2)  w.r.t. x and y . 

Q: (1+cot x) dx S- Evaluate: sin?x/9- cot?x

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Q: f0) = x² – 6VÃ+ 3 %3D Step 2 of 2: Use the Second Derivative Test to locate any local maximum or min...

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Q: If f (x) = e*dx and f (0) =2, then what is f (2)? A e +2 B None C e2+1 (D e2 – 1 E e2

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Question Determine the limit of the sequence defined below. An If the limit does not exist, enter Ø....

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Q: Vx - 2 dx xi(Vĩ + 1)

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Q: Length of the Arc Instruction: Answer the following. Show all your solutions. 5. a. Give the formula...

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Q: 1. The Jalopy Car Rental can rent 95 cars per day at a rate of $12 per day. For each $1 decrease n r...

A: Given query is to find the maximum revenue.

Q: Evaluate f(cos4 x – sin“ x)dx

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Q: Tutorial Exercise The radius of a right circular cone increasing at a rate of 1.9 in/s while its hei...

A: Let's find.

Q: Evaluate f 1+cos 4x dx 1-cos 4x

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Q: 1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probabili...

A: The probability density function is: f(t)=ke-kt, 0≤t&lt;∞ where k=1a and a is the average amount of ...

Q: dx y.= dy y arctan (-x 2a

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Q: Consider the series 1 n² + 4n + 5 n=1 a) Enter an integral whose convergence or divergence is equiva...

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Q: Find the mass and center of mass of the solid E with the given density ?. E is the cube given by  0 ...

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Q: Find all points c satisfying the conclusion of the MVT for the given function and interval. y = V3 c...

A: Here, the given function is: y=f(x)=3cos(x)-sin(x), [0,2π] Here, f'(x)=3(-sin x)-cos x=-3sin x-cos x...

Q: Solve the Lagrange's partial differential equation 2 z* p – xy(x² + yz)q = xz(x² + yz). 4

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Q: a. How much Valium remains in the person's bloodstream 12 hours after taking a 10-mg dose? Round to ...

A: Equation is directly given so put the value and get the answer. In option c , first differentiate an...

Q: You    are    told    that    the    rank    of    matrix    A    is    equal    to    3. (i) What  ...

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Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x3, x =...

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Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: | In|Vi + 1| dx

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Q: Given that x2- y² = 9, then dy/dx D %3D

A: To find out the dy/dx 

Q: 4 antegrate the ff 2. (ax-6)*dx 2. (x2 +5x DISTRI BUTI VE PROP.

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Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

A: We need to find A and B.

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

A: This question is based on summation problem.

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will ...

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Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r

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Q: Evaluate using Wallis' Formula: 7 sin? x cos5 x dx

A: follow next step

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotat ab...

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Q: For the function f(x) = x^3/3-3/4x^2-27/2x+39 (i) Determine the coordinates of the turning points.  ...

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Q: 3 The point P(7, -3) lies on the curve y = 6 - x (a) If Q is the point x, 6 - find the slope of the ...

A: Given that the point P(7,-3) lies on the curve y=3/(6-x).

Q: Evaluate *(x-2) dx (x-1)3

A: We can find the required answer in the following steps

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 8j as a...

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Q: Consider 5 28 +2 x2 +2 sin(x)–2 -28+5x+5 f(x) = Find the behaviour of f(x) as x → 0. • If lim f(x) e...

A: Here, f(x)=5x8+2x2+2sin(x)-2-x8+5x+5

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

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Q: Find S z? sin z dz

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Q: Semio do 1. se h

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Q: eIn sec²(sin2y)dy can be evaluated by writing it as sec2y A / sec2(sin2y) - cos2ydy B None © : sec (...

A: Using elogy =y and 1/secy=cosy