J Evaluate the integral using substitution method 2 sin x x) 5 (3 + cos x) dx

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A: We have to tell when we can take the natural logarithm of a negative number

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A: Given that  is a degree three polynomial function such that

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Q: 6. Find the equation of the tangent to the curve_y=x²-√√2x+1 at the point (4, 13).

A: To find the equation of the tangent and normal to the curve at the point .

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A: as per our guideline we are supposed to answer only first to get remaning kindly post again

Q: Calculate the derivative of the following func (3x²+7x) 10 (x²+2x+7)8 10x + 1

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Q: 26. Determine (a) f(x) = (c) f(x) = where f is continuous. X \x/-3 2x - 1 2x² + 3x - 2 (b) f(x) =…

A: We have to find where function is continuous.First we will find points where function is…

Q: log4 7/ x¹y 16

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A: Suppose where, .To find .

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Q: 7. For the iterated integral sketch the region of integration. [*[ f(x,y) dx dy

A: For the iterated integral to sketch the region of integration.

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A: Domain : The set of all input values (x values)Range: The set of all output values (y values)

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A: The rows of Pascal's triangle are conventionally listed starting with row n= 0, at the top (the 0th…

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Q: can you do the same but given that X(t) = 0.03 for 0 < t< 5 and X(t) = 0.08 for t ≥ 5 and payment…

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Q: 4. Maximizing Revenue The price p (in dollars) and the quantity x sold of a certain product obey the…

A: Given that the price p (in dollars) quantity x sold a certain product obeys the demand function

Q: X X+1 11

A: To evaluate the following integral.

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A: In general logx is considered as so find the derivative accordingily

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: Find the linearization L(x, y, z) of the f(x, y, z) = 6(x3 + y3 + z3)1/2 at the point (1, 2, 3).

A: f(x, y, z) = 6(x3 + y3 + z3)1/2We have to find linearization L(x,y,z) of f(x,y,z) at point (1,2,3)

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Q: Using the definition to proof a derivative formula f'(x) = lim₂ to f(x +h)-f(x) h

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Q: A quadratic function f is given below (a) Determine whether the given quadratic function has a…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: Integrating cos/xsin x dx where k is Odd Evaluate [cos 8 xsin ³ x dx.

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Q: -5 -4 -3 -2 -1 3 2 -1 -2 -3 < X < 1 2 3 4 The function graphed above is decreasing on the interval…

A: We want to find where the function is decreasing and the inflection point.

Q: Use the graphs to answer the next series of questions. Note that h has a sharp corner at x = 2. 2 y…

A: Question no. (12)If , then to find the following.Note: Since the student has posted multiple…

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A: To find the x-intercept take x=0intercept:

Q: 2. The first term of a geometric series is 4. The sum of the first two terms is 7, and the sum of…

A: Formula for Geometric Series is given as follow Let first term of Geometric Series is denoted by a…

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A: Let .To deduce all the values of  (if they exist) such that  is orthogonal to .

Q: Consider the following function. g(x) = x³ + 3x²2 on [-3, 1] Find the derivative of the function. g…

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Q: Consider the arithmetic sequence presented in the table below. What is the first term, a₁, and the…

A: The objective of the question is to evaluate the 1st  and 22th   terms of the given arithmetic…

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A: To find the arc length of the graph from point A to point B.

Q: What is the limit formula function of one sided and two sided points.

A: What is the limit formula function of one sided and two sided points.

Q: Find the integral. 3x²-5x+4 2³-2x²+x 學 O In x-1 +C 士 文

A: The given integral is

Q: (a) g(x) = x² arcsin(e). (b) f(x) = [tan¯¹(3x)]²

A: To find derivative of given functions

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A: Consider the function

Q: y= e²1 1+e²⁰

A: The given function .The aim is to find the derivative of the function.