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Q: how to evaluate the following integrals?

A: As per the guidelines we can solve 1 problem only 

Q: 4. Which population distribution is more likely to be well represented by a very small sample? 100 2...

A: Here we have to find which population distribution is more likely to be well represented by a very s...

Q: If f(x) is a function such that the limit of f(x) as x approaches a does exist, then f(x) is not con...

A: We have to  find out

Q: lim sin(x)(tanx) x→0+

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Q: Question 20 Determine the sum of the series: 글 + ++. = Σm1 = n=1 2" 1/2 1 No answer text provided. 2

A: The objective of the question is determine the sum of the series and choose the correct option.

Q: (Please give a clear and elaborate solution) A company determined that the price-demand and cost fu...

A: Marginal profit

Q: Region R in the image is bounded by P1: y=2 , P2: y=1+(3/x), and P3: 2y+x=9.  Set up and do not eva...

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Q: Q3. Define Fourier Series. Find the Fourier sine series of the function f(x) = kx2, 0 < x< k. Sketch...

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Q: 3 • Let R be the region bounded by the line y =x, y = 0 and r = 2. If S is the solid generated when ...

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Q: Evaluate the surface integral  ffR(x+y)dS where σ is the portion of the plane z = 6 − 2x − 3y in the...

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Q: Use a local linear approximation to estimate 9.0215.

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Q: (x +. lim x→+∞ X. H18

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Q: Using local linear approximation, estimate /(3.95)3

A: Given:- √(3.95)3 To find:- Using local linear approximation estimate √(3.95)3

Q: Given z = In sin(x – y), find dyðx? a. 2 csc2 (x - y) cot(r-y) b. csc2(r – y) c. cot(r - y) d. -2 cs...

A: First we find out the partial derivative with respect to x and then solve it. Follow 2nd step 

Q: Use the Divergence Theorem to find the outward flux of the vector field F(x,y, z) = xy2i + yz2j + zx...

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Q: i will give u multiple upvote pls solve the question with good explaination.

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Q: Sketch the hyperbola 9x² – 4y² – 18x + 8y – 31 = 0, and label the center, foci and vertices. Find th...

A: Given : 9x2-4y2-18x+8y-31=0

Q: Next question Consider the position function s(t) = - 16t+ 120t representing the position of an obje...

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Q: ( sinh x cosh x + ecoth x -dx sinhx

A: Explanation of the answer is as follows

Q: Find a function f and a real number a such that

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Q: • Which of the following conics is a trace on one of the coordinate planes of the surface whose equa...

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Q: What nominal interest rate compounded semi-annually is equivalent to j52 14%?

A: This question is related to compound interest, We will solve it using given information.

Q: 4. A company finds that the total cost of manufacturing x units of a certain product is given by C(x...

A: Let's find. 

Q: f (x) = = cos 2x; [0,T] G and

A: topic - mean value theorem

Q: 5) Sketch a possible graph for the function that satisfies all of the following criteria and justify...

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Q: the following integrals must be

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Q: Find the value of the definite integral

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Q: sin x(csc x-sin x)

A: In this we have to simplify the given equation so I'm providing hand written solution for this.

Q: Evaluate the limit using L'Hopital's Rule. Show complete solution.

A: We will solve the problem using L hospital rule. 

Q: Find the centroid of the region bounded by y? = 14x and y² = 28(x – 7). NOTE: Enter the exact answer...

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Q: -(39) is the value of a so that the line r 2 – 3t, y = 1 + at, z = -3 + 9t is z +5 x + 1 y + 2 perpe...

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Q: Show complete solutions.

A: Squeeze theoremLet f, g and h be functions such that for all x∈a, b except possibly at the limit poi...

Q: II. Perform the integration. 1. csc? x cot x ycsc x – 1 dx

A: Let cscx=t then solve it. 

Q: • Which of the following is equivalent to the double integral f (x, y)dydx in drdy order? а. b. -2 I...

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Q: A particle is moving along a horizontal line such that its velocity is given by v(t) = 3ť² – 24t+36,...

A: Let's find. 

Q: 1 -dx csc? x cot x Evaluate: a. – In | cos æ| + cos? OS - + C b. none of the choices - In cos a - co...

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Q: To evaluate f' tan? x sec® xdx, the first thing to do is a. none of the choices b. express tan² x as...

A: Please refer the attached image for complete solution. THANKYOU !

Q: Find the functions p(x) = f(g(x)) and q(x) = g(f(x)). %3D f(x) = x + →, 9 g(x) = x + 1 %3D p(x) = q(...

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Q: Find the area. Find the area enclosed by the ellipse x = 5 cos t, y = 6 sin t, 0 sts 2n. Select one,...

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Q: Which of the following is the graph of the surface whose equation is given by -x2 + y² + z² = 1? a. ...

A: Given equation: -x2+y2+z2=1  

Q: Find a function ƒ and a real number a such that 4 + / f(t) d : = x tan¬1 x. a.

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Q: III. Consider the region R below bounded by C1 : y = 2, C2 : y = 1+ 3 and C3 : 2y + x = 9. (1,4) R. ...

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Q: r4 3. |2ª – 8| d.x Jo

A: Use the property of modulus, 2x-8&lt;0   when  x &lt;32x-8&gt;0   when x &gt;3 So, 2x-8=-(2x-8)   wh...

Q: Calculate s f(æ, y, z) dS For Part of the surface r 2°, where 0 < æ, y<23; f(x,y, z) = Sls f(x, y, z...

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Q: 3. Marlon sees his crush 120 ft to his east. He then runs eastward at 12 ft/s. If his crush is walki...

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Q: Solve and show step-by-step solution. A plane is travelling horizontally at a constant height of 10...

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Q: Consider the function. f(x) = 6 cot(x) Let the area function A be the antiderivative of f satisfying...

A: Given : f(x)= 6 cot xInitial condition A(π4)=0To find the antiderivative of f=A (area function)To fi...

Q: 10. A farmer wants to fence in two rectangular garden plots, twice as long as wide, situated along a...

A: DIMENSION OF A FARM

Q: Please give a complete and clear solution. Thank you so much.) Let R be the region below enclosed b...

A: We have to set up the definite integral for the arc length of the curve x = 2 − y2.