Ssin(/x)dx Evaluate: None of the given Choices 2 sin(/x)+2/xcos(/x)+C 2/x sin(x)+2cos(/x)+ C D2/xsin(x)-2cos(/x)+ C 2 sin(/x)- 2/xcos(/x)+C

Q: If a given function is an even function, then prove that f(x)dx = 2 f, f(x. Graphically support your...

A: Topic:-  application of integration

Q: Find the area bounded by y = x^2 -1, and the line y = 3. * 31/3 sq. units 35/3 sq. units O 37/3 sq. ...

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Q: / Find the Area Suside the Cirdle r. JZ ond oat side The The Cuurne r 2 Gs) O plt The funetione 2 Fi...

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Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is b...

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Q: Evaluate the integral tan (x) dx. tan (x) dx = %3D

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: topic -implicit differentiation

Q: 2(x- y)(4x + y)dx + x(5x - y)dy = 0

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Q: Consider the coordinate vectors 6. (w]s= (als= (B]s %3D %3D %3D 3 4. (a) 8)}. w = (?, ?, ?) (b) Find...

A: Solution: b) S = {x2+1,x2 - 1, 2x - 1} and coordinate of q w. r. to s is  {2,0,4}

Q: y? at (8, 4) xy Find the slope of the tangent to the curve dy da

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Q: A farmer has 80 feet of fencing to enclose three sides of a rectangular plot of land (the fourth sid...

A: topic- application of derivatives

Q: (-2층). Consider the function f(1) = b passing through the point (-2,1 Question 1 The equation of the...

A: Find your answer below 

Q: What is the direction of the given vector? v= (3,-4). 360 30 or will always be t- you U is it 18O- o...

A: Topic:- vector algebra

Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal place...

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Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) = x(2x...

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Q: Evaluate the integral. P(p + 6)°dp P(p + 6)°dp =

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Q: u=(+4,-9) and V=(3,-2) 0 Find the dot product of = %3D

A: Given: Vectors: u=(-4,-9)v=(3,-2)

Q: (b) If the supply is S=g(P), equilibrium in the market requires that f (R,P) = g (P). What is ? Find...

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Q: 24. 3e dx

A: topic - definite integrals

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: g'(t)=0⇒t×ddt(14-t)+14-tddt(t)=0⇒t×1214-t×(-1)+14-t=0⇒-t+2(14-t)=0⇒-t+28-2t=0⇒-3t+28=0

Q: 1 (8n – 1)? n=1 a) Enter an integral whose convergence or divergence is equivalent to that of the gi...

A: Given that∑n=1∞18n-12a. Integral test for convergence or divergence fx=18x-12a=1,b→∞∑n=1∞18n-12≈∫1∞1...

Q: Find the point on the graph of the function that is closest to the given point: f(x) = x² , (2,5) (A...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Find the general solution to the differential equation y''-4y'=8-16x

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Q: 1. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : ...

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Q: at (1, 3). Find the slope of the tangent to the curve x° + 3xy + y° = The slope is

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not ex...

A: Find your answer below 

Q: Find the equation of the plane containing the points P= (2, 0, 0). Q = (0, 2, 1), and R = (1,0, 3).

A: This question is based on finding equation of plane when we know 3 points of plane.

Q: 4 48. | (4x² – 9x) dx

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Q: If y=sin( x2 + 1), then compute y O A. xsinx² +1) y = Vx2 +1 O B. None of the other choises cos(/x² ...

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Q: Consider the following piecewise-defined function. - 2x2 + x - 2 if x 3 Step 2 of 3: Evaluate this ...

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Q: A resort sells all-included package for a week-long stay at 2000S per person. It costs 1600$ to the ...

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Q: Question 23 a population recovery project is implemented to raise the population of the birds. The r...

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Q: ſ tanx dx

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Q: 1- cos 4x lim - (a) x? X-0 5-x (b) lim x-+5 Jx-1- /2x – 6 3t2 -t-2 lim- 12-1 (c)

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Q: Find the center and the radius of the circle with the equation x2+10x+y2+8y−103=0   Enter the cen...

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Q: Find the derivative of the function y = 10x + 9x 8

A: Here we need to find the derivative of the given function y=10x+9x58 Now, we use the formula if y=xn...

Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

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Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2), (-...

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

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Q: Determine from the graph of the following function whether it is one-to-one. 10 +x, x20 f(x) = 10, x...

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: Given that        y' = 4xex^4 , y(1)=3 , dx = 0.1 By using Euler's method we have to calculate the f...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line ...

A: Rate of change

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 4...

A: topic - derivative of a function

Q: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

A: "Since you have asked multiple questions, we will solve the 1st question for you. If you want any sp...

Q: Let f(x)= x/x-2.Show that there is no value c ∈ (1, 4) such that f'(c) = f(4)−f(1)/4−1.Why is this n...

A: Given: f(x) = x/(x - 2) Show that there is no value c ∈ (1, 4) f'(c) = f(4) − f(1)/(4 - 1) If f(x) i...

Q: Suppose you know • lim f(æ) = o and lim g(x) = o. • lim f'(2) = - 4 and lim g'(x) = 7 %3D * 00 2 109...

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Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x = ...

A: Explanation of the answer is as follows