Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁ = x² + 2x + 5 Y₂ = 2x + 14 y 20 15- 10- dx 2 fou 2

Q: mange the point (-2,2, from rectangular to cylindrical coordinates and spherical coordinates. √²-25²…

A: Given ;  Point = (-2,2,1).

Q: 3. Consider the implicit relation 4x² y − 3y = x³. A. Use the technique of implicit differentiation…

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Q: 8-68 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: NOTE: Refresh your page if you can't see any equations. . substitute the direct limit and check…

Q: Find the indefinite integral. (Use C for the constant of integration.)     8x(4x2 + 3)6 dx

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Q: Study the asymptotic behaviour for n→ +∞ of the sequence 1. an = 1-n² n+3

A: 1. According to the question,Given sequencean = 1-n2n+3

Q: Which of the following expressions is equal to (A) B (С) (D) 2 1.² 2 S. ² 1.² X 2 X 5 X 3 - 3 4 3…

A: Solution: Write the fraction using partial fraction decomposition.

Q: Find f such that f'(x)=x² +4 and f(0) = 1. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Evaluate the line integral f9ydy over y = x³ for 0 ≤ x ≤ 3. (Use symbolic notation and fractions…

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Q: Given fo²F0₂ f(x) dx = 6 and (a) [ f(x) dx $fº Fx (b) [³ 16 (c) [f(x) dx (d) 3 f(x) dx -5f(x) dx…

A: Given ∫03fx dx=6, and, ∫36fx dx=-1, to evaluate the following.a ∫06fx dxb ∫63fx dxc ∫33fx dxd…

Q: One angle in a triangle has a measure that is three times as large as the smallest angle. The…

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Q: F Find the following power Write the answer in rectangular form [3( cos 30° + i sin 30°1² CETTE [3(…

A: Given query is to find rectangular form.

Q: Evaluate the expression. (Simplify your answer completely.) (a)     3log3(9)         (b)…

A: Given query is to simplify the expression.

Q: Suppose the region on the left in the figure (with blue shading) has area is 30, and the region on…

A: Area

Q: Why is the -27 omitted from the final answer

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Q: Consider the function f(x) whose second derivative is f''(x) f'(0) = 4, what is f(3)? 2x + 2 sin(x).…

A: Topic = Integration

Q: Use the picture below to answer the following questions. (Angle COD is a Right Angle.) F E 29⁰ Which…

A: Complementary angles:-The sum of two angles is 90°/right angle  Suppplementary angles:-The sum of…

Q: 2. Let's make an open-topped box from an 8.5 x 11-inch sheet of paper by cutting squares of length…

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Q: Find all possible functions with the given derivative. y' = - 1 y=0 7 2 X

A: See this solution in below.

Q: A company estimates that it will need $66,000 in 9 years to replace a computer. If it establishes a…

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Q: Evaluate the following integral. csc 4x 2 cot x csc 4x CSC 2 cot x dx dx =

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Q: Find all antiderivatives of the following function. f(x) = e 20x ff(x) dx = x=-20e-20x

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Q: Find the general antiderivative of the function: f '(x) = (4 / √1 - x2) , f(1/2) = 1 Note: The…

A: The function is  f'(x)=41-x2 f12=1

Q: What is the area under the graph of y = f(x) = x2cos(x3) and above the interval [0, T]. 7 = 180 180…

A: To find area under the curve.

Q: Can the Mean value theorem be applied ? What is the value of C?

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Q: Compute the given indefinite integral. [(x − 2)(x) dx = - +C

A: Important formula÷ ∫xndx=xn+1n+1+C Let I= ∫x-2xdx Now we need to first multiply this expression

Q: The second angle of a triangle is 40 more than the first angle. The third angle is three times the…

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Q: 27. f"(x) = 2x + 3e*

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Q: 00 ²2 ²² n = 2 Draw a picture to show that The series converges. The series diverges. 1 n¹.5 dx.…

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Q: line g || line h 12 4 3 5 6 7 61° g h

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Q: Find f. f ‴(x) = cos(x),    f(0) = 4,    f ′(0) = 8,    f ″(0) = 3

A: Given query is to find the function.

Q: Use Newton's method to approximate √6 to four decimal places.

A: Let's find value of sqrt(6) by using Newton's method.

Q: Find the integral. √(x²-7x+5) dx 1 7 de-²³-²+x-0 + 5x + c 3 2 √(x² - 7x + 5) dx = 3

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Q: Begin with the graph of y = ex. Use transformations to graph the function below. Then determine its…

A: Parent function:- y=ex Transformed function:-fx=-8-e-x

Q: If $6000 is invested in an account for which interest is compounded continuously, find the amount of…

A: NOTE: Refresh your page if you can't see any equations. . the given invested amount is P=6000 the…

Q: 1. Find the most general antiderivative or indefinite integral for the function. (Ilint: Using a…

A: to find integration.

Q: Please give me notes on root test, ratio test and comparison test

A: We have to write the notes for root test, ratio test and comparision test.

Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is

Q: 33. Find the centroid of the region bounded by the curves: a) y = x³ -x and y=x²-1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Integrate h(x, y) = yi-xj over the triangle with vertices (-2, 0), (1, 0), and (0, 1) traversed…

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Q: What lump sum do parents need to deposit in an account earning 5%, compounded monthly, so that it…

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Q: Find fdz 7 log(x) + C

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Q: Find all solutions of sin (0) = 2 1. 0 = ±+27k, k any integer 2.0=+27k, k any integer म 3.0=+2nk or…

A: sin(θ)=32we know that sin(π3)=32sin(π-A)=sin(A)

Q: Find the value of the derivative. dy dx dy dx Ix= -4 4 if y=4-5x²2 = (Simplify your answer.) ***

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: bullet is fired into the air with an initial velocity of 1000 feet per second at an angle of 55°…

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Q: 1. Solve the initial value problem y' -1 -2 1 4 2 5 2 -2 0 y, y (0) E 5 -1

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Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

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Q: 5.) (y + √ x² + y²) dx - xdy =0 when x= √3, y=1.

A: Please see the below picture for detailed solution.

Q: Convert the following general form to standard form of ellipse a.) 16x²+4y²-32x+16y-32=0 b.)…

A: The given equations are;  a.) 16x²+4y²-32x+16y-32=0 b.) 4x²+9y²+48x+72y+144=0 c.)…

Q: 7. fx² sinxdx 9.f x² Inxdx

A:

Q: Use integration by parts to solve fx'in (3xtx.

A: integration by parts X³ ln (3x²) this is the question of integration we have to integrate function…