Using partial fraction in evaluating f(x) + What is f(x)? X x²+x+7* A 2x-6 7 ® 1/²(2x+1)= 1/²/2 B © - ²/² (2²x + 1) + ²/²/2 c) 6-2x 7|2 3x²+7x+28 x³ + x² +7x -dx, the decomposed fraction is

Q: d. Find an equation of the normal line to the graph of y = √x + 1 at the point (3, 2).

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Q: Calculate the line integral [(of).do where f(x, y, z) = x ² ¹² + 4 xy² z yz с + е хуча and C is the…

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: 6. It's Easy as Pie of Chesterfield, Missouri, bakes every kind of pie you can imagine. An…

A: Given is the application based question of integration.

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A: To find the reduced row echelon form of the given augmented matrix .

Q: 0, y = 0 x ≥ 1 In Exercises 49-52, determine whether the given point is in the feasible set of this…

A: Inequality

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A: Here we have to find the area of shaded region.

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

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Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) =…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: Fill in the blank. y = 6(4) can be written in terms of base e as y = 6(4) can be written in terms of…

A: First I have written the equivalent logrithmic expression for any function and get the desired…

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A: let Distance between first pole and acnhor point = x  distance between other pole = 5 - x

Q: QUESTION 15

A: answer is in next step

Q: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

A: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

Q: Find each limit, if it exists. +1 (a) lim x→∞0 x4 5 (b) lim x00x³ +1 5 (c) x³ + 1 lim x→∞0 x2 - 5

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Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

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Q: Find the average value of the function f(x): = 5x² on the interval 1<x<3

A: Given

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Q: Find the radius of convergence, R, of the series. 12"x" n n = 1 R = Find the interval, I, of…

A: As per as our guideline i am supposed to answer only one question please repost remaining question

Q: the graph of y = x³ - 6x² + 9x - 2 where the t

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Q: raduation from college, Warren Roberge was able to defer payment on his $22,000 student loan for 6…

A: Topic:- algebra

Q: XZ 3) cos(x)-x²y + e + yz = 4, P (0,1,2)

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Q: Find T(t) and N(t) at the given point. r(t) = (t²- 2)i + tj; t = 2 T(2) N(2) = =

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Q: 1 Use the inverse matrix -5 5 x + y + Z = 0 5x + 7y + 6z = 4 5x + 8y + 7z = 2 (x, y, z) = = ( 1 -1…

A: Given the inverse matrix is  11-1-52-15-32. The system of linear equations is…

Q: lim (2x²+x-1) 2-0 LIMIT VALUE: 2²-4 lim 2-0 2+8 LIMIT VALUE: LIMIT VALUE: 9-z lim 2-9 3-√√2

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Q: In t years, the population of a certain city grows from 400,000 to a size P given by P(t) = 400,000…

A: Take the derivative to find rate and substitute the value of t and simplify.

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

Q: Find the​ producers' surplus at a price level of p=​$70 for the​ price-supply equation below.…

A: Given problem:- Find the​ producers' surplus at a price level of p=​$70 for the​ price-supply…

Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

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Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…

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Q: ["u pus C=P Op2-13 an=19 +

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Q: Sol:- ➤ For yo y"-2y'+y=e* Homogeneous (e' = 0) op

A: For complementary solution solve homogeneous differential equation.

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: Find the equation of the line tangent to the graph of f(x) = (In x)² at x = 7. MER y= (Type your…

A: Find the derivative at the given point and write the equation of tangent line using slope point…

Q: เก 23 -5-4-3 5

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Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

Q: ƒ dx = f(+ g(x)) dx, then A + f g(x) dx is equal to x³+x A. -1 B. -1 + In(5/2) C. 1 D. -1 + In(7)

A: Given that,

Q: Fill in the blank so that the resulting statement is true. 7x-23 If In = In (x-3), then =x-3. x + 2

A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

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A: Here is the solution:

Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: QUESTION 12 dz State the multi-variable chain rule for if ди z=z(t. s, w), t=t(u, v), s=s(u, v), w=w…

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Q: 1. Use the graph of y = f(x) given below to find the answer to each of the following. You do not…

A: By using the graph of y=fx given below to lisy all the intervals on which f is increasing.

Q: ) Encuentra la inversa de la función f(x) = 4x² – 1 3x² = x < 0.

A: The given function is f(x)=4x2-13x2 We first replace f(x) with y. y=4x2-13x2

Q: Fill in each blank so that the resulting statement is true. = The quotient rule for logarithms…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: defines 2 as y. y- cos (3x2) = 5 a function of x and • differentiate implicity to find az ду

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Q: Q3: Find gradient of the following function at given point 1) f(x,y)=y-x, (2.1) 2) g(x,y)=y-x²,…

A: As per as our guidelines i am supposed to answer only three part of this question.

Q: Find a power series solution of the differential equation y' = 4y

A: We have to find power series solution .

Q: S sin (Inx) dx? How many times will you perform integration by parts to evaluate

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