dr if r =Vs+1 and s=161-20t . dt 1. Find -

Q: 6. Consider -dx. Transforming the integrand, the result will be k , where k is a constant. What is u...

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A: The detailed solution is given below Thank you 

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A: We use limit test to find convergence or divergence of given series. Follow 2nd step.

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Q: 5x? tan( 3x³) dx. fu= 3x³, then the resulting integral is f(u) du. Find A Given: 4 A none of the cho...

A: Topic:- application of integration

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Q: n2 - 6 with n5 + 6 Write an inequlity comparing for n > 1. n3 (Express numbers in exact form. Use sy...

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Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

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A: To express: The surface area obtained by rotating the graph of y=4sinx for π6≤x≤π3. Concept used: Th...

Q: Please see the attached image to see the given. thank you  (a.) the critical numbers of f (b.) all ...

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x) ...

A: We know, ∫xndx= x(n+1)/(n+1)

Q: Use the limit comparison test to determine whether the series converges 8. 7h +5 The series converge...

A: The given series,      ∑k=1∞87k+5

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Q: Show that for all positive integers n, 13 + 2° + ...+ n³ = (1+2+3+ ...+ n)?

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Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: B. Directions: Expand t Scoring Rubric: 3- The final ansv 2- The final ansv 1- The final ansv 0- No ...

A: = (12q+4r)12  Binomial Expression:(a+b)n =∑n=0nni a(n-i) bi(12q+4r)12:  a=12q, b=4r=120(12q)12-0(4r)...

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Q: Find an equation for the graph sketched below: 8- 4 3- -5 -4 -3 -2 2 3 4 5 -2 -7 8+ f(x) = %3D Quest...

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Q: Calculate F. dS where F = (3xy°, xe", zª) S is the surface of the solid bounded by the cylinder y? +...

A: Let's find. 

Q: O Assume f(x) is a continuous function on [a, b]. Then for a < x < b, f(t) dt = f(x) dx O Assume f(x...

A: solution ) option first  d/dx∫xaf(t) =f(x) d/dx ∫axf(t) =-f(x) not a fundamental property fundamenta...

Q: 5. Find the area of the region enclosed by one loop of the curve: r= 4cos(3Ø)

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Q: Homeworks 1. When a eircular plate of metal is heated in an oven its radius increases at a rate of 0...

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: „3x -dx be given. If u=e* + 2, then the resulting integral is e+2 Jf(u) du. Compute f (3). Let A 3 B...

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Q: 1. What is (3x) ? 2. What is (x*+ x)? 3. What is (2-32)? 4. What is (6v - 3v + Sv)? 5. What is (x-1)...

A: As per the guidelines we can solve 3 parts only 

Q: By using the definition of the derivative, find the equation of the tangent line to the graph of fix...

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Q: 3 In?x + 1 Evaluate x (In³x + In x) 3. A 3 In |in3x + In x| + C B B In in3x + In x| + C -In lin?x + ...

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Q: 4. In selecting a price for a product using differential analysis, which of the following de should ...

A: ANSWER: B. The price that will result in the greatest total contribution margin, assuming fixes are ...

Q: tan (In |4x2|) -dx is b in cos (In |(2x)*|)|+c. The integral of What is b?

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Q: dx The integral k, where u= f(x) and for some constant, k. Compute 2). reduces to ex + 1 A е - 1 B n...

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Q: f(x)= (x-2)/(x^2-x+1)^2 (a.) the critical numbers of f (b.) all relative extrema of f (c.) the inte...

A: To find (a.) the critical numbers of f(b.) all relative extrema of f(c.) the intervals on which f is...

Q: 一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co,...

A: All parts are true. 

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Using u-substitution, the integral f(x)dx Srwax u+1 reduces to a new integralg(u) du. If g(u) = , ev...

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Q: Question 2 12x +1 dxp. (2x- 1)2 (3x + 2)² Evaluate:

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Q: /atch the video on the improper integral 1/x^2 2 and the video on the nproper integral 1/x 2 before ...

A: We use the formula integration of ex dx=ex.

Q: When the numerator has a higher degree than the denominator, we have to start with long division. Af...

A: It will be covered in step 2.

Q: Determine whether the series converges. k=1

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Q: Q4) Prove that 1- Cos +x) = sin x, 2- (sin x +cos x) sec x see' x

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Q: Given: JV5x² - 3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicab...

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Q: rectangular prism with dimensions 6 m × 4 m × 8 m (l×w ×h) is shrinking. a)  Assume that the length...

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Q: Differentiate the functions. 3 a) f(x) = 1– 5x + b) f(x) = (x³ + 4)² %3D

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Q: 4. y = 2 -10x 5. y = 88 8x + 888 6. y = 2021 7×^6

A: According to our company's guidelines I can only answer first three subparts of the question since y...

Q: 1g graph, clearly showinng any pointS where the graph crosses the nate axes: + 7x + 10r

A: We will draw the graph. 

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

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Q: Find dy/dx for the following function: X+ tan (xy)-0

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Q: A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for an...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4