Let f(x)=4x^2lnx f'(e^3)=

Q: CURRENT OBJECTIVE Find a higher-order derivative of a sine or cosine function Question d36 Find (-7 ...

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Q: 6. The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on th...

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Q: cos2x – sin2x cos2x For dx = - What is F(x)? cosx - sinx 2 2 sinx + -cos'x+ cosx+ -sin-x Écos³x 3 3 ...

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−2q+890​, what is the maximum pro...

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Q: . What is F(/3) if C = 0?

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Q: b. d xP +C. What is the value of the sum a The general antiderivative of (3x2-4) 2x2 can be written ...

A: ∫(3x2-4)2x2dx=∫(9x6-24x4+16x2)dx                             =97x7-245x5+163x3+c

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: What type of solution(s) would you get from the equation below? 2x2 + 6x – 1 = 0 O 2 real solutions ...

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Q: et What is the integrable form of dx? e* - e -X A) du B) du (c) и?—1) 2 du D [(1-u?) du

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Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9 6 square units 4 square u...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: sin-cos-sin0 de has the form 2 (0+ C. What should be the value of 0 to make F(0) =0? The resulting i...

A: We have to find solutions

Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

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Q: Question d15 Find dx15 (-5 sin (x) + 13 cos (x)). Provide your answer below: d15 (-5 sin (x) + 13 co...

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Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-1(x) + 1)

A: Let's find. 

Q: Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given b...

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Q: cos2x- sin2x cos2x dx =-F(x)+C: What is F(x)? For cosx-sinx 1 A (sinx- cosx -3 sinx + -cosx+ cosx+ -...

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Q: The integral of (10*/cos 10*)dx may be written as A In sec B* + tan B* | + C. Where A,„B, and C are ...

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Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: The antiderivative of f(x), denoted by F(x)F-x=-F(x)∫abfxdx=K, 0<a<b

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

A: Basic application of derivative problem

Q: Which of the following is an improper integral? -4 x² – x – 2 In3e COSX dx xe -2 In(x++ 1) dx -1 dx ...

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Q: What is the integrable form of sin-cos-sin0 de? 2 2

A: A detailed solution is given below.

Q: cos2x – sin2x cos2x For -dr =-F(x)+ C• What is F(x)? cosx - sinx A sinx – cosx) - B 2 sinx + -cos'x+...

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Q: c) 20

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Q: d?y - =6– 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve ...

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Q: Calculate the arc length of the following vector function. E(1) = 4 In i+j+ 4t k; 1sts2.

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Definite integration

Q: Find the equation of the curve for which dx2 = 6- 9x and which passes through the points (0,–1) and ...

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Q: Given a production company is planning to increase its production. It is governed by an model equati...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

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Q: 10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero. Ev...

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Q: 2x 5х-3 + 3x 12 2. 4x2 – 16 > 0 (-0, 2], [2, c∞0)

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + + +

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Q: Find the area of the region bounded by the curve y=1- 2 and the x-axis. A) 4 square units 6 square u...

A: We have,

Q: ) approximate the value of log, 24, given that log, 2 = 0.356 and log, 3= 0.565

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Q: dx Evaluate Зх — 12 A 00 B + 00 1

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2 , where k is a po...

A: Here is the solution

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Obtain the particular solution satisfying the initial conditions indicated.

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Q: Given matrices A =, , compute 2A + B. and B %3D

A: To find the matrix of 2A +B when matrix A and matrix B are given.

Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

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Q: the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positive ...

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Q: Make a problem solving question with full solution regarding area of circle. Include a graph and dia...

A: We will take a problem

Q: dx may be written as Aln secB" + tanB"| +C. where A, B, and C are constants not equal to zero. Ev

A: We have to choose the correct option according to the given

Q: (2– sec²x) ln (# /e)scc³x sec(3A – x) What should be the value of A for to be integrable using the f...

A: Let's find. 

Q: What is the integrable form of dr? 1 -1) du -u?) 2 du 2022-01..

A: Find the integrable form by substitution method