Solve the following integral step by step 4x² + 3x - 1 -dx x²(x - 1)

Q: A) Consider the function f(x) whose second derivative is f’’(x)=4x+3sin(x). If f(0)=4 and f’(0)=4,…

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: A person's height depends on their age. (a) This situation describes a function, y = f(x), where the…

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Q: 38. The polar equation of the curve is expressed as r = 2sin 0 + 2cose. Compute the perimeter of the…

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

Q: ) Evaluate using the squeeze Theorem. lim 0² cos (-)

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Q: Which of the following describes the graph of g(x) = -In(x − 4)? *Ty 8 7 6 5 4 2 2 1 -10 6 7 8 -2 -3…

A: We have to choose correct option

Q: point of observation a airpalne X h = 5000 m

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Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Express In(z) in the form a + ib. (Simplify your z = -ei In(z) n = 0, 11, 12,..

A: Given complex number  z=-ei

Q: Solve the differential equation. dy = 3x²y² dx -1 3 x + c +c for y # 0

A: We have to solve the differential equation

Q: If tant -4, what is tan (t = π)? Enter the exact answer. tan (t) =

A: Given tant=49To find tan(t-π):

Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…

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

Q: Use the compound-interest formula to find the account balance A, where P is principal, r is interest…

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Q: Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and…

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Q: What is the exact value of cse?

A: Given.

Q: : (A) By using the definition of derivative, prove that (answer only one): d d (secx) = = secx tanx…

A: As in question asked to answer only one therefore I am answering only first question.

Q: A right triangle is shown in the graph. Y (x, y) (a,b) b a a Part A: Use the Pythagorean Theorem to…

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Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 20 feet long,…

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Q: 6. f²₁ x dx

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Q: Answer the following questions 1. Using the graph in the given figure, find each limit or explain…

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Q: U (d) Let t ==; V at u = x² - y², v = 4xy³. Find- and Əx dy

A: According to our guideline we can only answer first question and rest can be reposted.

Q: 28. Find the surface area of the portion of the curve x² =4y from y =1 to y =2 when it is revolved…

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Q: 9) A store sells portable MP3 players for $100 each and, at this price, sells 120 MP3 players every…

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: rchasing Enormous State University's Business School is buying computers. The school has two models…

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Q: 1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the…

A: According to question,Center : 8,0Radius : requation of ellipse : x2 + 4y2 = 16

Q: Find the area of the sector of a circle with diameter 36 feet and an angle of 7π/4 radians.…

A: Here we have to find the area of a sector.

Q: 13T Use reference angles to evaluate sec Enter the exact answers. For the number , either choose…

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Q: Oe+1 ³ + ³ (₂× + ¹ ) ³ + ³ (₂² + ¹ ) { + (₂x + 1) { O ³ + ¾ ( 2 * + ¹ ) } − z (2* + 1 ) { − 3 (2+¹)…

A: We have integrated above question

Q: Select the domain the function below f(x)=√x All real numbers O Non-negative real numbers O…

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Q: What is the exact value of cot(-870°)? 0-√3 0-1 01 O√√3

A: Use Trigonometric properties

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: Given

Q: Use partial fraction decomposition technique to evaluate the integral: x² S dx. (x+1)3

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Q: Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x +…

A: Here we have to use the given identities to prove.

Q: Given f"(x)=e^x with f"(0)=6, f'(0)=2, then f(x)= ? + C Note that your answer should not contain a…

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Q: Question 2.7d. Consider the linear system of differential equations Select the particular solution…

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, 0, 0),…

A: Given points  P ( 0, 0, 0) and  Q ( 1, 9, 3)

Q: 7. What is the area bounded by the curve y=x and the line x-4=0? A. 10 32 B. 3 C. 32 D. 11

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Q: ÏÏ3 2 2y cos dydx

A: Given: ∫π2π∫0x22x2cos2yx2dydx

Q: Find the area of the sector of a circle with diameter 32 feet and an angle of Round your answer to…

A: Given Diameter =32 feet Therefore radius (r)=32/2=16 feet, angle made by arc to center of circle is…

Q: wer each of the following questions: tio of two numbers is 3:5. The larger number is 30. What is the…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 25. Find the area of the curve r² = a²cos 20. B. a A. a² C. 2a D. a³

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Q: Simplify the expression from the previous step by canceling the common factors. sin ²0+ The…

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Q: √ ² (2 + Inx) ² 4x dx

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Q: Construct a truth table to determine whether the statement forms are logically equivalent. Please…

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Q: Which of the following graphs represents the equation (x-3)=-4(y-4)7 0 0

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Q: Which of the following is the general solution of: y²dy + x³dx = 0 Select one: a. y³ x4 -k 3 4 O b.…

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Q: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

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Q: Write the negation for the following statement: If Juan is Rosa's father, then Miguel is her uncle…

A: Explanation of the answer is as follows

Q: maker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long,…

A: This question is based on law of cosines.

Q: 3. Evaluate the integral sin ede from 0 to pi/2. A. 2x/3 B. 3π/5 C. 3m/16 D. R/4

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