Q1: Using by part integration: e Evaluate: sin ( In x)dx? 1 Add File

Q: Find dy far y= dx

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Q: Show by integration that the volume of a sphere of radius r is V=4/3 πr³

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 5 dx sec x-1…

A: Here we have to evaluate the given integral.

Q: Given the following velocity function of an object moving along a line, find the position function…

A: To find the position function.

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: Topic:- application of derivatives

Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: A simple biochemical reaction with three molecules has solutions that oscillate toward a steady…

A: A simple biochemical reaction with three molecules has solutions that oscillate toward a steady…

Q: y' + p(x)y = q(x), p(x), q(x) E C(I)

A: We have to find the general solution of differenrial equation

Q: Use the Ratio Test to determine the radius of convergence of Σ n=1 Vn - 11" x" Then determine…

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Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

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Q: 37. Let y = uv be the product of the functions u and v. Find y'(2) if u(2) = 7, u'(2) = 4, v(2) =- 5…

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Q: b) The general term of the sequence 21 35 49 63 20' 35' 50' 65 is of the form an+b an cn +d…

A: The given sequence,2120, 3535, 4950,6365,....

Q: D

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Q: Compute : csc(e) d Csc evx dx CSC - Csc cot evx А. 2/x B. csc cot(evF).eF . — cSC Cot csc · cot 2 D.…

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Q: If hyperbola 36x^2 - 49y^2 - 100 = 0 has an eccentricity of e= √85/7, what are the asymptotes and…

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Q: _2 .2 y = у — 2х* + 3x — 4х, у — х* Find the area of the region enclosed by the two equations. (make…

A: the region is bounded by y=2x3+3x2-4x, y=x2

Q: Evaluate the double integral over the given region R. xy cos y dA R-1sx<1,0sysT R

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Q: Evaluate F (t) t NCt) for t=#

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Q: The unit price of hamburger of a fast food shop called "MacDonna" increasesd according the formula…

A: Given: "MacDonna" increased the price of a hamburger according to the formula, P=a·bt where, P is…

Q: If m < f(X) < M for a < x s b, wherem is the absolute minimum and M is the absolute maximum of f on…

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Q: 10 3 5 la b 12 d

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Q: Line integrals: 1) Evaluate the following line integral:S, (x² + y² + z²) ds where Cis parametrized…

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Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Find the absolute maximum value of f(x) = x2 – 2x + 10 over the interval 0, 3 -

A: Find your answer below

Q: Evaluat each Integral. For definite integrals, give exact valaes Only, rF - 7+" -ム dt

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) 7, f(7) = 2, f'(7) = 13, f'(6) = 6…

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Q: For each of the following, solve for x. 3 1 a. %3D x+2 7-X

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Q: Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must…

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Q: Which of the following is a complete list of possible inflection points for F(x) = 3xe4x A. 2 1 4 1…

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Q: S(x + e*)²dx

A: We have to find value of given Integral.

Q: а. f(-3) %— 4 b. f'(0) = %3D 3 2 c. f'(3) = %3D d. f'(2) -5 –4 –3 -2 –1 1 2 3 4 5

A: To find: f'(-3), f'(0),f'(3),f'(2) Given information: The graph of f(x) is shown below.

Q: d) L{e f, sin dr}

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: To evaluate the given integral.

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: The position of a baseball (in ft) is represented by r(t) = 55/2ti + (4 + 55/2t- 16t2)j. Find the…

A: This is a problem related to vector. Based on the general formula we will answer the question.

Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

Q: Find the interval of convergence. (x + 5)" Σ (n In(n))² n=2

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Q: 6 Evaluate (3x+4yʻ) dA by changing to polar coordinates, where R is the region in the upper…

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Q: Find the equation of the tangent line at the given point on the following curve. 3 3 In (x+y)=x y" +…

A: The given equation is  ln(x+y)=x3y3+ln(x2+2)-8, (1,2).

Q: Find the derivative of the function y = (tan '(z) ). ช่ ||

A: To find the derivative of  y=(tan-1(x))23

Q: Suppose that f is a function given as f(x) = 5x 1. Simplify the expression f(x + h). f(r + h) = f(x…

A: Given query is to find the derivative of the expression.

Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

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Q: x2 (a) Find a power series representation for f(x) = 1 + x3 °

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Q: х—1 dx х4—1

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Q: Find the dimensions of a rectangle with area 1521 metres squared whose perimeter is as small as…

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Q: х—1 dx c4 –1

A: Basic integration is done.