Express Ln(z) in the form a + b. (Simplify your answer completely.)

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A: Range of an inverse function is the domain of the orginal function.

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Q: Question (5): Determine the intervals where the function f(x) = 2x³-3x² - 36x + 2 is increasing or…

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Q: Solve the following exponential equation. ex + e- x = 6 Select the correct choice below and, if…

A: According to question,Given equation,ex + e-x = 6

Q: Question 2.4. Find all cube roots of -1 in the complex plane. 2e ₂ (i) Ⓒ (i) -1 1 e (5₁)

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A: We have given functions f(x), g(x) and h(x)We need to arrange these function in order to smalles to…

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Q: Consider the following. Function Point f(x) = arcsec 5x (a) Find an equation of the tangent line to…

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Q: 2. Find the derivative of f(x). (a) f(x) = x² sec x (b) f(x) = 1+ tan a 1- tanz

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Q: Consider the functions z=7 ex In y, x= In (u cos v), and y= u sin v. dz dz (a) Express and as…

A: Given, z= 7 ex ln y    ....... (1)x= ln ( u cosv) .......... (2)y= u sinv…

Q: A pediatrician records the age .x (in yr) and average height y (in inches) for girls between the…

A: 1. The linear function through 4, 38 and 8, 502. The linear function through 12, 14.3 and 40, 22

Q: The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x-x²), where y is…

A: The problem is solved below

Q: S²₁₂ So 1-y² √x² + y² √x²+y² xyzdzdxdy

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C . Here C is integral…

Q: Find dy dx 12) y = cos ³ (5x+2) -2)) y = √tan √√₂x + + 3)) Por The following Function i y = sin-¹…

A: **As per our guidelines, we are supposed to answer only 3 subparts of a question. Since you have…

Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: IF y = u² + 3u² & u = 2x Find d dx 8x(8x^2+3) (64x^3+30x) O 8x(8x^3+3) O 8x(8x^2-3) O

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Q: In triangle ABC, let M be the midpoint of AB and N be the midpoint of AC. Suppose that you measure…

A: Concept: Midpoint theorem of the triangle: According to the midpoint theorem, "the line segment in a…

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Q: dy B)Solve differential equation dx -(sinx+cosy) y²-x siny

A: Exact differential equation

Q: hange the cartesian integral in an equvalant polor integral then evalute e polor integral ² -√√2x-x²…

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Q: Find the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

A: Topic = Functions

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Q: Express as a single logarithm and, if possible, simplify. 1 log b + 3 log c 2 1 log b +3 log c= 2…

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O False O

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A: We need to find G.C.F. , H.C.F.

Q: Find, if y=3cose+cos³0 do, and x = sin³0

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: a) Graph the function f(x)=2x-5x + 3. b) Draw a tangent line to the graph at the point whose…

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Q: Eliminate the parameter t to find a Cartesian equation for X = 3-t = Y - 13 - 4t The Cartesian…

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Q: 11) Find the best upper bound for the error when using Newton polynomial P3(x) to estimate f(x) =…

A: Concept: The upper error bound using the newtons polynomial: Rn≤Mnn+1!maxx∈a,bx-x0x-x1....x-xnWhere…

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A: First we will understand the process and then solve it.

Q: 8. Use the Integral Test to determine whether k4 Σk5 +55 k=1 converges.

A: Solve the following

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Q: Using calculus, find the absolute maximum and absolute minimum of the function f (x) = 6x² − 36x + 2…

A: We want to find absolute minimum and maximum .

Q: Find for THREE of the following functions: dx *²)+In/cos(x)). 5 2(cos(x)))

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Q: as a single logarithm and, if possible, simplify. -log b +3 log c log b + 3 log c = Use parentheses…

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Q: 8. Find f(113) (x) for f(x): = COS X.

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Q: Find y'. sin x = x(1+tan y)

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Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

A: First we will understand  the term and then solve it.

Q: Let A = {1,3,4,9,10}, B = {1,2,8,10}. Determine (A ∖ B) ∪ (B ∖ A).

A: Let A = {1,3,4,9,10}, B = {1,2,8,10}. Determine (A ∖ B) ∪ (B ∖ A).

Q: Q2: Find the following limits V-V lim x418√√x+√ 友

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Q: -1 16/(A)Evalute ex² dxdy. (B) If f(x, y) = x² ye(x+y²) Find the four seconed partial derivative.

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Q: Find the general solution for the following second order D.Es? +y=sinx (Variation of Parameters…

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Q: Use the Chain Rule to find dQ where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z= cost. dt'

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Q: The exponential function given by H(t) = 80,042.99(1.0484), where t is the number in 2040. The…

A: This question is based on substitution of values.

Q: 1. 5e5x dx .5e u= du = 2.fe-x*(-4x³) dx U= du = 3.fe3x+1dx du = answer: answer: answer:

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