Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3 =3/1+x. P4(x) =|

Q: Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in…

A: Using poler coordinate

Q: Consider a function f(x). The function has critical points at -1,- 2 3 and 1. The table below shows…

A: The function f(x) is increasing  if f'(x)>0On (-∞,-1)f'(x) is negative⇒f(x) is not increasing⇒It…

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: A non-linear function is given by f(2) = a*-1 Where a is a constant. b) Define the perturbation…

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Q: Find the eccentricity, the type of conic, the directrix, and sketch a graph: r = (3) / (1 -…

A: Let's find.

Q: 2y dx − x dy = 2 dx Solve for  dy dx

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Q: Test the series for convergence or divergence. n=1 n35n (n+ 2)!

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Q: O f (x) = -6 sin(3x + 1) cos(3x + 1)ecos"(3+1)

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Q: nt Use the model A =Pe" or A= P| where A is the future value of P dollars invested at inter %3D…

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Q: 21 j=3

A: Use the formula for the sum of n natural numbers.

Q: 6. Set up the integral to calculate the area between the curves fG)= g(x) =-r+2 [ (fy)-g(y)) dy А.…

A: The region is bounded by,f(y)=y2 , g(y)=-y2+2 and y=-1

Q: Find the area under the graph of f over the interval [-1,4]. x²+2 xs2 = ()4 x> 2 3x The area is…

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Q: Evaluate the limit x +y lim (x,y)→(0,0) sin y O None of these O The limit does not exis O-3 O3

A: Given problem:-

Q: Find an equation of the tangent plane to the surface 3x? + 2xy – 4z2 + 2x – 3y = 0 at the point P(0,…

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Q: Test the series for convergence or divergence. Justify your answer! E(-1)*. 5Inn *-2

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Q: Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

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Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

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Q: Suppose that P = (x, y) has polar coordinates Find the polar coordinates for the following points if…

A: As per the guidelines I am supposed to do the first three questions of a multipart question. As you…

Q: Consider the following. u = (2, -1, 0) v = (-2, 7, 0) Find u x v. Determine if u x v is orthogonal…

A: Given query is to find indicated vectors

Q: x2 a) lim X o e2x

A: We have to find out limit of given function using  L' Hopital's Rule which is as follows in step 2 .…

Q: Consider the series (-1)n*(3n2+n+5)/(4n3+2) = 5/2 - 3/2 + 19/32 - 7/22

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Q: Use part I of the Fundamental Theorem of Calculus to find the deriyative of 12 १৩) | ( ) = dt f'(x)…

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Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. 3x…

A: We have to find the given integrals.

Q: 1. Consider the function A(x) = -tan(x- x). Determine the equation of the tangent to the curve (x)…

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Q: 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

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Q: 10. The vectorj^3E is the same as vector O j^4E O j^5E O j^2E O jE

A: Solve by vector product

Q: What is the value of e*dx? Select one: O a. 1 O b. 2 O c. The integral diverges. O d. e 8

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Q: 10 dr is The value of J5

A: The given integral,            ∫5101x2dx

Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

Q: fIND THE DERIVATIVE: 1. f(x)= [(sin x)(cos x)]

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Q: 9. The growth in the population of a group of rabbits is given by P(t) = 800e008 , where P is the…

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

Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: x² – 25 -dx is V x2 – 25 – sec-lx+ C. The antiderivative of -

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Q: Solve the differential equation dR a(R² + 4). dx Assume a is a non-zero constant, and use C for any…

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Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

Q: Use a graphing calculator to solve the nonlinear system. y = log (x+ 5) y =x? Select the correct…

A: this question has been solved using a graphing calculator desmos.

Q: Describe the shaded sector in the figure by inequalities in r and 0. y 45° Assume that the radii of…

A: In the given shaded region the value of radius is varying from 0 and goes upto the value of radius…

Q: Decide whether the function f(x) =7x -5 is a probability density function on [- 1, 1]. If not, tell…

A: Topic:-  probability

Q: 4 3 1 10 15 20 25 30 35 time (sec) feet velocity (ft/sec)

A: At t=0, velocity is 1 ft/sec. At t=25, velocity is 3 ft/sec. Required distance =Final velocity -…

Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

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Q: 74. Aerobic Exercise A woman keeps fit by bicycling and running every day. On Monday she spends h at…

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Q: Consider the graph of f'(x) given below. At what value(s) of x does f(x) have a local minimum? If…

A: Consider the graph of f'(x)

Q: Given a set of data points determine Newton's interpolation polynomial of higher degree which passes…

A: The given points are: x -1 0 1 2 fx 3 -4 5 -6   We have to find Newton's interpolation…

Q: A 1+ 2 + 3 + 4+ + 127 Σ > B, where .. n=1

A: First trace the rth  term then use the summation notation.

Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: Find the exact length of the curve. y = 2/3(1 + x2)3⁄2,      0 ≤ x ≤ 4

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Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

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Q: Solve the following differential equations. 1. 24 – e5x -4y - dx

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Q: A follasng vector fiebdo are conserva hal function. c)

A: We have to find the potential function if the given vectors are conservative vector field

Q: Evaluate the integral sin(t)dt

A: