(x² + 1)y' + 2.xy + 2x = 0

Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

Q: evaluate fsin.x dx inx dx JT+sin x A secx- tanx - x +C B secx + tanx +x+C C) secx + tanx - x + C

A: Here we have to evaluate, I=∫sinx1+sinxdx

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A: This question is based on gradient of function.

Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A: Differential equations

Q: Let A = and B = , P = (9, 8, 7) e. Find the volume of the parallelepiped spanned by A, B, and P (th...

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Q: Estimating In(1.4) using a Taylor polynomial about a = 1, what is the least degree of the polynomial...

A: fx = lnxTo estimate : ln1.4  using Taylor's polynomial centered at a=1. To find the least degree of ...

Q: 17. Find the volume of the solid obtained by revolving the region bounded by the graphs of y = tan(x...

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Q: Given three points, A(4, 3, 2), B(-2,0, 5), and C(7, –2, 1): (a) specify the vector A extending from...

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Q: Determine the equivalent when (8+8i) is raised to 1-i. Express your answer in a rectangular form in ...

A: We have to find 8+8i1-i=?   The magnitude of 8+8i is = r=82+82=128=82 The argument of 8+8i is = θ=ta...

Q: What is differentiation

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Q: 5. (xy² +y – x)dx + x(xy + 1)dy = 0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2, y = 1 7....

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

Q: Find the flux of the vector field F = (y, – z, x) across the part of the plane z = 4 + x + 2y above ...

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Q: B. Write T if the statement is true, or F if it is false. Write your answers on the blanks. 1. The e...

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Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: a learn.hawkeslearning.com/Portal/Lesson/lesson_certify#! ave & Exit Certify Lesson: 3.4a Increasing...

A: Given query is to find the value of x where tangent is horizontal.

Q: Which of the following statements about the definite integral is/are false? 1. [ f(x)dx=0 A I only I...

A: To determine which of the following statements afout the definite integral is/are false. I ∫-aa fx d...

Q: Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critic...

A: For critical values , f'(x) =0. If f'(x) >0 for every x on some interval I , then f(x) is increas...

Q: Evaluate the (3+ х)у dy yx² a) Зху + + c b) y (3x +) + c с) Зху? + + с ху? 2 d) x (3y +)c y² 2

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Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: Solve the differential equation (x² + 1)y – 2xy – 2x = 0 using the method of separation of variables...

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Q: 2. S dx 4-x2

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

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Q: evaluate the given function

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 00 f(x) = Σ...

A: The given function,        fx=11+x5

Q: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is ...

A: We have to find an equation for the plane which contains the point P(9,8,7) and is parallel to A = &...

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2...

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Q: Screen Shot 2022-03-09 at 8.19.01 PM Q Search An equation representing a function that extends from ...

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Q: Identify the most appropriate differentiation rules to be used in findıng the derivative of the föll...

A: topic - derivative rules

Q: The vector from the origin to point A is given as 6ax – 2a, – 4a-, and t unit vector directed from t...

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Q: Law of Cooling (disregard guessing) Use differential equation and modeling to solve and find the tim...

A: This is a question of differential equation. First we will derive the Newton's law of cooling and th...

Q: ㅇ 1/x dx 39 -1 +3

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Q: Calculate the partial derivative using implicit differentiation of ey + sin (9xz) + 4y = 0. (Use sym...

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Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

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Q: Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). -3 -2 -1 0 ...

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Q: consider che funceion h= w²-8.Tawei Determine dh/dt and w= St"-26

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Q: You have $20.00 worth of Kohl's cash (a coupon that is worth $20.00 in the store). You also have a 2...

A: Given: - You have $20.00 worth of Kohl's cash (a coupon that is worth $20.00 in the store), You also...

Q: Use sigma notation to write the Taylor series about x = 8 for the function. 1 x + 5 k = OW

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Q: Find the area of the region enclosed by y = 4.75x and z = 9-y". -2 1 2 3 4 5 6 7 8 9 -1 Use horizont...

A: here y =4.75x x=9-y2 we have to find y so y/4.75 = 9-y2 y = 42.75 - 4.75y2 4.75y2 + y -42.75 = 0 y=2...

Q: A4 The graphs of x = 6, y = h(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to ...

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Q: Differentiate: f(x) = 4x³ - (5/x²) %3D O a. f(x) = 12x2 - (10/x³) O b. f(x) = 12x2+ (10/x³) O c. f(x...

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Q: 2. -2 2. -2 ere does f have absoluteminuMums absolute minimum is ph h o ccurs at x= edees f have abs...

A: To find the absolute maxima and minima of the function from the graph.

Q: The graphs of x = 5, y = f(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to sca...

A: We have to create the integral form of above graph. 

Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos (x' y)j. (Give an exa...

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Q: ind the absolute extrema of the given function on the indicated closed and bounded set R. (Order you...

A: Extrema

Q: x+1, (x< 3 Given f (x) = 2 x=1 %3D

A: Find your answer below 

Q: The statement g(x) dx = S" g(y) dy is, A true B. false C. sometimes true D. neither true nor false

A: To Check : ∫abg(x)dx=∫abg(y)dy is true or false

Q: Ax) = x² tan -1 (x³)

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Q: Find the area of the region enclosed by y = 4e", y = 9e- and a = 0. 9+ %3D 8- 7. 5- 4- 3 2- 1 0.1 0....

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Q: Each of the following is a holomorphic function in an appropriate open set. In each case, find its c...

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