Calculus What characteristics are important to know to be able to graph its derivative? What characteristics of a graph's derivative are important to know to draw the original graph?

Q: Cos3 cos³x S dx 1+ sinx

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Q: Find the vector equation for the line of intersection of the planes 2x – 2y – 5z = 5 and 2a + 2z = 1

A: Given  equation of planes 2x-2y-5z=5 2x+2z=1

Q: Given: y = xcos (x); Find y". O y" = xsin (x) - 2 cos(x) %3D O y" = xsin (x) + 2 cos(x) O y" asin…

A: Formula:ddx(uv)=u dvdx+v dudxy = x cos(x)y' =x [-sin(x)] + cos(x)[1]y'= cos(x) - x…

Q: Find the total differential of  w=x3yz+xy+z+3

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Q: [sinh(x)(x² + 7*)] dx

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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: Does the following series converge or diverge? 2 (-1yn+1n+ Vn n2 +1 n+ yn n= 1 O The series…

A: Given query is to find series converges or diverges.

Q: [3 -1 [o -1 2] |4 11 2 Given A = and B=|1 2 |6 1 (a) Find the eigenvalue(s) of BA. (b) On the basis…

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Q: | #(In(x))" 1 dx converges and Let p be a positive number. Determine the values of p for which the…

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Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

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Q: a 19.) sin u f&) dx where f) = Co x4 /2 Sxい円

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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: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = | t*dt…

A: By using Part I of the Fundamental Theorem of Calculus:f'(x)=x4

Q: (-1)" Given: In(1+ x) : if x < 1. n +1 n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5)

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Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: There are two different styles of shirts UB is planning on selling at the bookstore. UB will pay $12…

A: Let  Number of cheaper shirt = x  Number of other shirt = y  cheaper shirt yields a profit of $8 and…

Q: Problem 2. Which gives the inverse transforms of the given s-domain function? s2-s3+3/s3(s+5)(s-2)

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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: dy Find . da Given: 3x?y + xy = sin (x + y). %3D dy %3D da 2 sin(z+y) cos(r+y)+3ry-ry 2ay? +3ry+2…

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,2=1 -y+1 %3D z-1 3a 2a 3 Find the…

A: Explanation of the answer is as follows

Q: 35 (2i)² 4i i=1

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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: Suppose the frame has a top tube length of 52.2 centimeters, a seat tube length of 49.0 centimeters,…

A: Given Top tube = 52.2 cm Seat tube = 49 cm Seat Angle = 75.0°   We can use the cosine rule here.…

Q: In Jx2/25+ x² dx , we let x= 5sine. A True B False

A: Note Since you have asked multiple question As per our policy, we will solve the first question for…

Q: Given t2 - 25 dt 1+ cos2(t) f(r) 0. At what value of I does the local max of f(x) occur? H.

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Q: Work Problem 2n11 5h Consider the geometric series a) Find the first term a and the ratio r of the…

A: Given query is to find fist term,common ratio, and sum of the sequence.

Q: Determne, whether the follawing vector fielbdo are canservative. If they are, find poential…

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Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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

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Q: Short run product and cost

A: answer is in next step

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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

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

Q: n=1 Vn+1 yn +2 Determine if the series converges or diverges. If the series converges, find its sum.…

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Q: diverges: 3n/22n-4=27/4+81/16+243/64+729/156

A: Given query is to find series converges or diverges.

Q: 8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x +…

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Q: ·4 2. 3 a) Find lim g(x), lim g(x) and lim g(x) X+1 -2 x→1+ b) Find f(1). c) Is g continuous at x =…

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Q: 3. (Section 4.1) Evaluate each indefinite integral. (a) /202 (b) /(3e* + 2)dr 4x (c) / (182² + 6x +…

A: We have to solve in image

Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

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Q: Use the Integral Test to determincwhether the scries In n n2 converges or diverges. Be sure to show…

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Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: Determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

A: To determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.

Q: Part I x² -9 1. lim х>з х-3

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Q: Convert from rectangular to polar coordinates. (a) (0, 1) (Give your answer in the form (*,*).…

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Q: sin4x S V cos4x + 1 dx

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Q: Solve the following differential equation for the general solution: dy 2x- y- =D 3. dx Select one: O…

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Q: Find the flux of the vector field F(x, y, z) = across the surface S, where S is the part of the…

A: Given