Gr 5 0 -5 5

Q: The second derivative has already been found and factored to be f"(x) = (5x)(x+2). Use interval…

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Q: 17 0 dx √|x-1|

A: The objective of the question is evaluate the definite integral.

Q: What is the equation of the rational function g(x) and its corresponding slant asy -10-9-8 O O O 7…

A: Given: Graph:

Q: 12 Sf x² ydxdy 01 In2 2 11₂ SS 2xe dxdy 0-1 3 1 2xy SS- -dxdy 10x+1 4√x 2 S S x²y dydx 00 11-y S S…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: What is the 8th partial sum of 10,000-2,000+400-80+7 Round your answer to the thousandths place.…

A: The given sequence is: 10000-2000+400-80+... To find the 8th partial sum.

Q: Find the volume of a solid obtained by rotating the region under the graph of the function x = √y…

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Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

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Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

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Q: Explain the steps you would take to find the derivative of f(x) = (-)e -3x+tan(3x-5)

A: Given: f(x)=12e-3x2+tan(3x-5)

Q: Consider the region bounded by x=4-1², the y-axis and the x-axis. N 1 1 2 3 4 The volume of the…

A: Given problem:-

Q: 14. y' + y tan x = sec x

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Q: 16x4+9y12 (x,y) (0,0) 4x²+3y6 Show that lim does not exist.

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Q: 1.0⁰ 7 -2 dy 1+ y² 1 +x³ = π 2x + 3 da is an improper integral 1 - 1 (₂ ² ² ₁ + 2x + 1) dz dx + 1…

A: Given problem:- Which of following  is True? a)  ∫0∞dy1+y2=π b) ∫-2711+x3dx is an improper integral…

Q: Find the linear approximation to f(x, y) f(6.11, 4.17) f(6.11, 4.17) = 5, xy at the point (6, 4,…

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Q: Consider the function f(x) = = Let F(x) be the antiderivative Then F(x) = 7 3 x² x7 of f(x) with…

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Q: ical numbers r = -1 and x = 2 are found from a continuous derivative the second derivative is f"(x)…

A: Topic:- application of derivatives

Q: Consider the function f(x) = 9 x³ Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

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Q: 3. Find the domain of f(x) = = 1 - 1- x X

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Q: Consider points P(-1, 3), Q(1, 5), and R(-2, 8). (a) Determine vector PQ and express it in component…

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Q: dt 1²+8t+20

A: We can find the answer as below.

Q: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

A: Concept: The average rate of change : The average rate of change function explains how quickly…

Q: Consider the plane π : x − 2y + 3z − 1 = 0 and the line l : x = (1 − y)/2 = z + 1.      1.      Find…

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Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: ) Find the formula for bn given by the recurrence bn+1 = 3bn + 2n, bo = 1

A: As per the guidelines I am answering only first question. i.e. (d) bn+1=3bn+2n, b0=1

Q: r³+3x+1 8) (x+1)²(x-2)²

A: The objective of the question is determine the partial fraction decomposition. Note -  As per our…

Q: Q2:A: Find the surface area of the cone y = h -√x² + z² where h is the height of the cone and a is…

A: Concept: The surface area of the cone: The total area that a cone's two surfaces, its circular base…

Q: The Maclaurin series of g(x)=sin (x) is ?

A: Maclaurin series is given by:

Q: Define the force field F(x, y, z) = (xy, —-yz, xz). Find the divergence and curl of F. Let C be the…

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Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine the…

A: volume of above function is π×175.19 cube unit

Q: ) Consider the function f(x) = 4x² - 8x on the interval [0, 6]. Find the absolute ex- trema for the…

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Q: Find the lengths of the functions of x over the given interval. Approximate if necessary. y=e^x on…

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Q: Below is the graph of y = x² +5. 401 D 30- 20 10- -3 -2 -1 0 1 2 3 4 5 6 The area bounded by y = x²…

A: the area bounded by the curve y=x^2 +5 and the x axis from x=2 to x=5

Q: Approximate the area under the curve y = x from x= x³ with 6 subdivisions. = 2 to 5 using a Right…

A: The curve y=x3 from x=2 to x=5 we have to find the area under the curve using Right Endpoint…

Q: 2. Find the general / particular solution of the following using variable separable b. mydx = nxdy =…

A: Given: a)  my dx=nx dy       separable equation:        mxdx=nydy integrate on both sides…

Q: Set-up the definite integral that will give the measure of surface area of the solid generated 1 by…

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Q: The total cost of producing x newspapers is given by the function C(z) = 20x-x². Find the marginal…

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Q: A parking garage bases its prices on the number of hours that a vehicle parks in the garage. 14 13…

A: Here we will find the pricing scheme ,

Q: Determine the interval of convergence of n=1 (x - 5)" n²

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Q: ) Use the Product Rule or Quotient Rule to find the derivative of f(x) Do not simplify. O f'(x) = O…

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Q: If f(x) = 1- log5 , then f-¹(x) =

A: Given that a function f(x)= 1 - log5x and we find f-1(x) .   Here i attached the solution of this…

Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

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Q: 5. Prove the identity: cot(A + B) cot(A - B) = cot² B - tan² A tan² A cot² B-1

A: We have to prove the identity

Q: The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular…

A: By putting the given velocity of roller coaster in the given radical function, we get our desired…

Q: ·bounded by x² + 2y = 4 and and determine: - Sketch the area x+y+2=0

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Q: Consider the smooth parametric curve 6 defined by the equations t (t²-3) { 3 (t²- 3)' = = where t€…

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Q: Consider the power series Σ#1 ¹+∞0 n(3x+2)n n=1 n³+4 1. Show that the series is absolutely…

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Q: Determine the slope of the tangent for: Y = ㅇ- O 0 을 -100 2+5 √ã at : (4, 을)

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Q: In a town of population 12,000 the rate of growth of a flu epidemic is jointly proportional to the…

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Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

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