If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B) 2 (C) 3 (D) 1

Q: Book Problem 27 If ƒ(2) = 25, ƒ' is continuous, and f f'(x) dx = 13, then the value of f(9) is

A: Given, f(2)=25, ∫29f'(x)dx=12

Q: 3x 9. Evaluate § 2³× d dx

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Q: For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x), (C) lim…

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Q: Evaluating a Function Evaluate the difference quotient and simplify the result f(x) = x² - 7x + 3 0…

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Q: 1. 2. 3. The domain of f(x)=is ........ The distance between the line 3x + 4y = 2 and (1,1) is The…

A: 1. The given function fx=1x 2. The distance between the line 3x+4y=2 and the point 1,1 3. The given…

Q: lim sec O 0→→→I+ 2

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Q: 2) Write the equation in logarithmic form 343/3 = 7 a)log,=343 b) log, 343-7 c) log 343=7 3) The a)…

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Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: Refer to the function f shown to the right. Use the graph to estimate the indicated function values…

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Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: In exercises 1-28, evaluate the indicated limit, if it exists. Assume sin x that lim 20. lim 240 sin

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: See this solution in below.

Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: 4. lim ¹-cos 2x x-0 sin 2x

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Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² + x = 0 Find…

A: Please see the below picture for detailed solution.

Q: Question 22 of 25 If f'(x)=+5 where f(1) =0, then f(3) = A)-12 B) 12

A: Solve the given function

Q: /4 1. evaluate [sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

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Q: 5. Oil flows into a tank according to the rate F(t)=1+1, and at the same time empties out at the…

A: Please see the below picture for detailed solution.

Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

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Q: 3. For the given differential equation, do the following: 6y²dx-x(2x³ + y)dy = 0 a) Find P(x) or…

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Q: 2. Simplify √√x² +9-5 x+4

A: Topic - Simplification

Q: B- Use power series to evaluate the integral sin.x X -dx

A: We want to find integral of sinx/x using power series.

Q: eliminate arbitrary constants 3x³ + y² = cy ✓.

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Q: Book Problem 19 (a) Find the average value of f(x) = 25 - x² on the interval [0, 5]. Answer: (b)…

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Q: Solve the given initial value problem. O x¹y² + xy³ = -18 O x¹y² - xy³ = 36 x³y² + x³ = -18 O x¹y² +…

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Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: need

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Q: Find all values x = a where the function is discontinuous. For each point of discontinuity, give (a)…

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Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: Determine the flux of D = p² cos² þap + z sin ☀ a over the closed surface of the cyl- inder 0 ≤ z ≤…

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Q: Can you go into more detail? Why is the answer (4n+1)pi/2?

A: We want to find domain of the function.

Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

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

Q: A light year is the distance light travels in a year. What is a light year in km? The speed of light…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: Given graph:-

Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

A: Given data:- fx=x5logx+1-5x3-2x33+16x2

Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

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Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: lim A) e⁹ TE B)e-9 C) D) e-s

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Q: 2 Write ftan² x sec⁹ xdx as a sum of integrals of odd powers of secant or cosecent. Start with the…

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Q: Q04:4/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² +…

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Q: 4. Solve for b in: 1 4 2 15 5b 3b

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Q: 30. F(x) = [sin(t²)dt . Find F '(1).

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Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

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Q: Extra Problem 1 The table gives values of a continuous function. Use the midpoint rule (n = 3) to…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: Simplify and represent the following complex number in the polar coordinates. 1+j 2-j

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Q5. Find a general solution for the following second order non homogenous ODES. y"-4y' + 4y = 2e²x +…

A: Given: y''-4y'+4y=2e2x+4x-12 So, we can also write as; D2-4D+4y=2e2x+4x-12 The auxiliary equation…

Q: 5. Use the following results from the DIETFITS randomized control trial to answer the questions…

A: Explanation: a) As we can see in the given box plot.

Q: Find the general solution of y'= sin²xcosy.

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