1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² – 3x)dy = 0

Q: Find all minors and cofactors of the matrix. -1 2 3 6 45 3-1 2 (a) Find all minors of the matrix M…

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Q: 2. Use implicit differentiation to find tangent at the given point: (a) xy + y² = 3-3x² at (-1,1).…

A: use implicit differentiation, I try to provide typed solution, if it is helpful like it.

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

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Q: The probability P (0.5<x<5) is 0.5 O a. false b. true O

A: This is a problem related to probability. Please follow the procedure given below.

Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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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: B. Evaluate the limits of the following: 1. lim x-2 lx-2 6 x²+2x-8

A: Concept: Limits: The values that a function approaches for the specified input values are known as…

Q: Find x such that the matrix is singular. 4-[94] A

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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: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

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

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Q: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

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Q: 3300t The system of the population of a culture of tumor cells is given by p(t) = t+1 Select the…

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

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Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the expected…

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Q: fk(x) = x³ +512 X+8 X k(x) 2 complete the table and use the results to find lim k(x). X→-8 - 8.1…

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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: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: 17. f(x)=- a. b. C. d. lim lim (x-2) lim f(x)= lim x-2 /(x)= f(x) =

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Q: Non-exacr or first order linear DE

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Q: Find the determinant of the matrix.

A: Concept: Determinant: A square matrix's components can be used to calculate the determinant, a…

Q: Needed

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Q: sin 3x x-0 tan 4x 3. lim

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Q: Sketched below are the graphs of f(x)=x²-1 and g(x)=x+1., The graph of fintersects the x- axis at A…

A: Given data:- The given equation, f(x)=x2-1g(x)=x+1

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

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Q: Find the domain of the function. (Enter your answer in interval notation.) h(x): = 4 x28x

A: domain of the function h(x)=1x2-8x4

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: question 7. x + 128x + 96x = 0 answer 7. x = C₁e(-64+20√10)t + C₂e(-64-20√10)t

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Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

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Q: 5. A point on the graph of y = f(x) is (3, 5). The corresponding point on the graph of y = f(3x) is:

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Q: The probability that a component is acceptable is 0.93. Ten components are picked at random. What is…

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Q: for the following P.d.f of x, find the p(x<1) and p(|x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other…

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Q: Calculate the angle between the normals to the surfaces x²y + z = 3_ and x log z − y² = −4 at the…

A: Angle between two normal vectors a and b is  θ=cos-1±a·b

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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Q: 1. Cot cot x dy + ct x dx -x dx. xdx Sdx

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Q: 30. Use the fact that lim x→0 sin x X = 1 (shown in video) to show lim x-0 1 - cos x X = 0

A: we will find the required.

Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: Let lim f(x) = 4 and lim g(x) = 20. Use the limit rules to find the following limit. X-6 X→6 f(x)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: In 1995, 76 women were enrolled in chemistry at a certain high school while 165 men were enrolled.…

A: To find out the percentage of women who are taking chemistry.

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

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Q: 14. Evaluate to 4 decimal places: csc 153°

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Q: Find the solution of the given initial value problem in explicit form. 71 ㅠ sin(2x) dx + cos(6y) dy…

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Q: The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) =…

A: The speed of the hare is : H(t)=cos(t) The speed of the tortoise is : T(t)=12t

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 8, t > 0 y =

A: This differential equation can be solved as follows:

Q: Find an equation of the tangent line to the graph of the function 2 x 4 2x+4 at the point (4, O Oy=…

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Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: Find the following limits proving whether they exist or do not exist 5y¹ cos²x x² + y² C) D) lim…

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Q: Differentiate the following expressions and saveit under the given variables. 1. ур1 2. yp2 = 3. yp3…

A: Given data:- (1); yp1=x26-xx+2(2); yp2=ddxx24-x4+x(3); yp3=ddxx2-12x2-6x-1

Q: Question Calculate the area, in square units, of the region bounded on the right by the line g(x) =…

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