Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. -44x² +2 √ 22x³ x²-2x 22x³-44x² +2 x²-2x dx dx=0

Q: Function Operations Given the functions: f(x) = 9x + 7 and g(x) = 3x - 6, determine each of the…

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Q: The graph of f is given. (a) Find each limit, or explain why it does not exist. (i) lim f(x) x→2+…

A: Note:- These are multiple question. According to company rule we can do maximum 3 sub parts so i am…

Q: 5. Suppose that f(x) is a differentiable function that has an inverse. If the graph of y = f(x)…

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Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: Use the defnitions of the hyperbolic functions to find the following limit:  lim x → ∞ (tanh x)

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Q: Evaluate the integral a x²/³ dx. Answer:

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Q: Assembly Time of a Worker In the following graph, N(t) gives the number of smartphones assembled by…

A: Consider the given graph:

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A: I am attaching image so that you understand each and every step.

Q: Let R= (2₁1), Find the Point P such that PR has components 82-3,17

A: Let coordinate of point Pa,b

Q: Consider the following. x² X + 9 Find the derivative of the function. f'(x) = m = f(x) Find the…

A: The given function is  f(x)=x2x+9

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Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

Q: 2. Change the point (2,4,-4) from rectangular to cylindrical coordinates and spherical coordinates.

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Q: Divide using long division. State the quotient q(x) and the remainder r(x) 8x cubed - 5x squared +…

A: Solution- Given Dividend=8X3-5X2+9X+2 Divisor = 8X2+3X+5 remainder =? quotient q(x)=?   by Long…

Q: I. The daily temparature high can be modelled by the formula T(t) = 57.5 22.5 cos(2πt) where T is…

A: The daily temperature high can be modelled by the formula                  Tt=57.5-22.5cos2πtwhere T…

Q: Write the equation in its equivalent logarithmic form. 8³=512 What is the equivalent logarithmic…

A: See this solution in below.

Q: Evaluate the following expression without using a calculator. log 75 7

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Q: ow If w = −6x + 2yª, x = 3s +7t, and y = −8s — 6t, find Ət Sorry, that's incorrect. Try again? Əw Ət…

A: NOTE: Refresh your page if you can't see any equations. .

Q: lim (1+1)* 148

A: Please see the below picture for detailed solution.

Q: Describe the triangular region whose vertices are at (0, 0), (1, 0), (1, 2) as set in the polar…

A: Answer is in step 2.

Q: If f(x) = x cosh 1 يع امت - √x² 9

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A: We will find the required.

Q: Find the general solution for the problem in the form y=yc+yp y'' - 3y' - 4y = 2 + 6t + cost

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Q: Guess the value of the following limit (if it exists) by evaluating the function at the given…

A: We have to evaluate the limit.

Q: Find the derivative of the function. y = In(xvx²-8) y' =

A: y=lnxx2-8 Apply Chain Rule

Q: Which of the following statements imply that thas a vertical asymptote at ? Make sure to select the…

A: We have given the function g(x) and the vertical asymptote at x=3.

Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³ + 4x) dx using 4…

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Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

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Q: Rewrite sin (+7) in terms of sin x and cos x. Simplify your answer. Enclose arguments of functions…

A: We use ⇒sinA+B=sinAcosB+cosAsinB

Q: Find the derivative of the following using logarithimic differentiation  *please use hand writing…

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Q: 1. A rational function fis given. f(x) = (a) Find the x-intercepts (x, y). (b) Find the y-intercept…

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Q: Unit Find the vector = (-3,₁27, in the direction opposite to V

A: Topic = Vector

Q: Find the first partial derivatives of f(x, y, z) = ~ arctan Caution: ay/bx and ay/(bx) are very…

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Q: Find lim h(x), if possible. (a) h(x) = f(x) = -8x² + 3x - 4 f(x) X lim h(x) (b) h(x): f(x) lim h(x)…

A: Concept: A function may get close to two distinct limits. There are two scenarios: one in which the…

Q: 2) What is the difference between f'(x) and f'(7) and how do you say out loud the expression f'(x)?…

A: Difference between f'(x) and f'(7)

Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³+4x) dx using 4…

A: Given   ∫022x3+4xdx

Q: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

A: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

Q: 3. Express the equation in logarithmic form (a) ex+3 = 0.2 (b) e0.7x = y Answer: Answer: 1

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Q: Find the minimum and the maximum of the function f(x, y) = x^2 + xy + y on the set: D = {(x, y): 0 ≤…

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Q: One banana and two mangoes cost K1.30. Five bananas and four mangoes cost K3.50. Find in toea the…

A: See this solution in below.

Q: The population of a country was 204 million in 1987 and the continuous exponential growth rate was…

A: The Solution is given below-

Q: Find the exact value of sin sin (*) 4) = (4) 团团团 EESTIMENT

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Q: (a) Find the differential dy. y = √3+x² dy= X 2 √3+x² dy = -dx (b) Evaluate dy for the given values…

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Q: Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of equatio…

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Q: rdan elimination. 2x + y = 12 2x-y+z=-5 (3x - 2y + 4z = -14

A: Given system is of the form Ax=b.

Q: Evaluate the expression without using a calculator. log 476

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Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. 4 [.² 5² * ے والی ام dx…

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Q: What is the equation of the tangent line to the curve of y = A 2x+9y+1=0 D. 9x+2y+1=0 B. 2x-9y-1=0…

A: Topic = Derivative Correct Option = C

Q: If 1 f(x) = coth-¹√√x² +5 then f'(x) = 0

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Q: Find the point(s) on the hyperboloid x2+2y2+z2=324 where the tangent plane is perpendicular to the…

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