lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

Q: Using the graph of f'(x) find the increasing/decreasing intervals of f, points on  axis which f has…

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Q: e Six dx xX (1+lux)

A: We use the method of substitution to evaluate the given integral

Q: 2. S x³ +1 x³ - x² da dx

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Q: (−1)n n²zn n! Consider the series (-1)” n=1

A: ∑n=1∞(−1)nn23nn!Ratio TestL=limn→∞|an+1an|Where an is the nth term of the series.If L<1, the…

Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A: The function values  are given in the table.The aim is to find the values of .

Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² +0.54x +9.63,…

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: Evaluate the integral. 1/2 12/23 dx 5/ 16x2 - 1 V2/4x5

A: To evaluate the following integral.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the radius of convergence, R, of the series. √n R = 00 I = n = 1 6″ _(x + 4)" Find the…

A: The given series is sqrt(n)(x+4)n

Q: Determine whether the graph is that of a function. If it is, use the graph to find its domain and…

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Q: Derive the formula of a circle using horizontal strip

A: We need to derive the formula of the area of a circle by using horizontal strip

Q: d. e. lim 4x(3x + 4)² X→-1/2 lim (5-y)¹/3 y-3 3 h→0 √3h+1+1 f. lim

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Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: This problem finds the derivative of a function using the formal definition. The process is broken…

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Q: Find the maximum value of the function z = 5x + 7y subject to the following constraints. x+8y≤48…

A: The given objective function Subject to

Q: 4x Suppose that Σε (9+ x) n=0 Find the first few coefficients. =

A: 4x(9+x)=∑n=0∞cnxnWe know that the Mclaurin series of 11+x11+x=∑n=0∞(−1)nxn

Q: Use a half-angle formula to find the exact value of tan 112.5°. tan 112.5° = √2 21 2 16 X 5

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Q: Find the point on the line y = 4x + 2 that is closest to the origin. (x, y) =

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Q: x^2) on [0, 1]. A) Find k such that f(x) is a probability density function. B) Find the expected…

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Q: fum of a cide wing Voled vp TH A dx TRIGONOMBTC SUTION Ja-yX-4 dx-aast de Ja². (asing)" (acest do)…

A: We need to dirve the formula of area of circle

Q: 9. Two buses are driving along parallel freeways that are 5 mi apart, one heading east and the other…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: A rectangle has its base on the x−axis and its upper vertices on the parabola y = 9−x^2. Find the…

A: Given that a rectangle has its base on the x−axis and its upper vertices on the parabola To…

Q: Sketch the graph of f(x) = 2x + 3 on the interval [0,4]. Choose the correct graph below. A. Ay OB.

A: Here, We need to find the graph of the given equation f(x)=2x+4 in Interval [0,4]

Q: In Problems 1-8, find the eigenvalues and eigenvectors of given matrix. 1. 3. [2 7. 2 2 100 5. 002 0…

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Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x)…

A: The Taylor series:Where centered at .

Q: Use the parametric equations of an ellipse,x=6cos(θ),  y=3sin(θ),  0≤θ≤2π,to find the area that it…

A: The objective of the question is to find the area enclosed by the ellipse defined by the parametric…

Q: dy Find and dx d²y dx² x = e¹, y = te-t dy dx d²y dx² For which values of t is the curve concave…

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Q: 10) tan x = 3.7 A) 1.31, 4.45 1.31, B) 1.31, 2.88 C) 1.31, 4.97 D) 1

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Q: Determine whether the lines LI and L2 are parallel, intersect, or are skew: L1: x= -1 + 4t, y =…

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Q: The cost of laying a fibre optic cable underwater is 3 times that of underground. An island is 4 km…

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Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A: The objective of this question is to find the smallest number of terms required to approximate the…

Q: mate the average arterial blood pressure over one cardiac cyc

A: We have to find the average blood pressure.

Q: 1. Find the equation of the line that goes through the point (1, 5) and is parallel to the line y =…

A: Question No. 1:To find the equation of the line that goes through the point and parallel to the…

Q: A hemispherical tank with a radius of 9 m is filled from an inflow pipe at a rate of 2 m³/min (see…

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Q: 7. Point (4, 6, -7) Perpendicular to n = j

A: Given that the equation of the plane passing through the point (4,6,-7) and perpendicular to n=j we…

Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

A: Given that the region that lies above the x axis, below the curve  with

Q: 5 1 - 9x Compute the first few coefficients of this power series: Represent the function -Co C1 C₂…

A: The given function is 5/(1-9x).

Q: Please answer parts C and D

A: We have to find the limit of the given function.We will use the L Hospital rule to find the limit.

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

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Q: Suppose limx→cf(x) = 5 and limx→cg(x) = -2. Find: a. limx→cf(x)g(x) b. limx→c2f (x) g(x) c. limx→c…

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Q: The total cost in dollars to produce q units of a product is C(q). Fixed costs are $14,000. The…

A: The total cost in dollars to produce q units of a product is C(q)Fixed costs are $14,000

Q: The estimated change in area is m² (Type an exact answer, using as needed.) The estimated change in…

A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: Find an equation in rectangular coordinates for the spherical equation p = 4 sec (6)

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Q: Use polar coordinates. Find the center of mass of a two-dimensional plate that occupies the quarter…

A: To find the center of mass of a two-dimensional plate that occupies the quarter circle x2+y24in the…

Q: n = 1 (-1)"x" n

A: Given that the series we have to find the radius of convergence and interval of convergence

Q: If 6400cm2 of material is available to make a box with a square base and an open top, find the…

A: If 6400 cm2 of material is available to make a box with a square base and an open top,then to find…

Q: Approximate the area of the region bounded by the graph of f(t) = cos (t/2 - 3/8) and the t-axis on…

A: given funciton