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Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx  

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, how many items m...

A: This question is based on application of derivative .

Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

Q: 1) Compute each derivative, show all work. Submit your work as a pdf. a) sin (1+ e3a b) tan (3x? + 2...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

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Q: KIDAPAWAN CITY CA sin a = 1 to obtain the limit of the following: II. Apply lim a-0 a sin5x 1. lim x...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Sin/cos

A: Given query is to simplify the expression.

Q: (а) f(«) — У9-г2 (b) f(г) — Vz? — х — 6 V9-x² r-1

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Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

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Q: w = x18yz14 + sin(yz)

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Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: Given that the terminal side of angle 0 goes through the point (-3,-4), find sec(@).

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Q: 9 y = Arctan(+x, 1- 2x

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Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 In (n ...

A: We have to find if the given series converges or diverges.

Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n n³ + n² + 1 n=1 converges or diverge...

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Q: 5. y- Br*-+습

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Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

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Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: Let S be a nonempty bounded set containing a sequence of rational numbers. Provide an example such t...

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find ...

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Q: axis. y = 3x2, y = 18x – 6x2

A: Given query is to find the volume of the solid generated.

Q: 2x+ 17 3.5 dx x* +6 4. ſ cot63x dx

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Q: Raggs, Ltd a clothing firm, determines that in order to sell x suits, the price per suit must be p= ...

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Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.

Q: In Exercises 17-20, a function z = f(x, y) and a point P are giv- en. Find the equation of the tange...

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Q: Evaluate the given integrals. sin 6x dx sin23x 4.

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Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: Consider the function f(x) = 3x - 81x on the interval [-5. 4]. Find the absolute extrema for the fun...

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Q: Give some examples of limits in real life situation (preferably in a persons life)

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Q: TT(e-1) В. 2.

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Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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Q: X sin? - cos 2 2. -dx 2

A: Yes. This problem can be solved using Wallis formula.

Q: Estimate f(5.06) for ƒ as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to...

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Q: Using the partial fractions technique, the function x) can be written as a sum of partial fractions ...

A: To evaluate the integral.

Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

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Q: Two complex numbers z1 and z2 are given by z1 = 3 + 2i and z2 = − 1 − 4i. Evaluate, (a) |z1z2| (b) ...

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Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

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Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

Q: ř(-1)"+12nx" n2 + 3 Determine the interval of convergence of n=1

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Q: If  f(x) = x3 + 1,  then give the following. (a) the value of f at  x = −1  is  f         =  (b) t...

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Q: Given cost and price (demand) functions C(q) = 100q + 40,000 and p(g) = - 2q + 870, what is the maxi...

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