1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8. y=et-e³

Q: y = x *Arctan (x4)

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Q: Show all the necessary figures and solutions to each of the following problems. 2. Find the area…

A: The given curves are: y=x3-6x2+8x and y=x2-4x. A rough sketch of the area of the region is:

Q: The equation of the line containing the points (5,6) and (3,4). y=x-140 y=x+2.80 y=x-2.00 y=x+1DO

A: Topic:- application of geometry  And equation of straight line

Q: (√t-9) dt

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Q: Set up the integral, given area enclosed bewteen curves y= x^3 + 2x^2-8x and y = -x^2 + 2x

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Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: Evaluate sin(x) 1+cos(x) -dx

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Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find d)  The open intervals on which f is concave…

A: Given problem:- Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find   d)  The open intervals on…

Q: 4. Convert the following rectangular coordinates to polar coordinates, then find 3 additional repre…

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Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

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Q: The parabola 8x² + 5y = 0, opens upward. downward. to the right. to the left.

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Q: 7.Find: 으로 xy of of z = 2x35xyz

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Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: Find the integral for the area of the region bounded by y = 2x+4, y = 2-3x, and y = -x using a…

A: Using vertical strip form double integral then integrate

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

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Q: Find the derivative of f (x) = 5* In (x). Enclose arguments of functions, numerators, and…

A: Given; f(x)=5^x. ln(x)

Q: a/ Q ((Laplace)) 1 A²² [5 (5²+25+5)]

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Q: 8. 位 dx √x

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Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: Given curves y=x^2 and x=y^2

Q: 1. Find the limit. lim x118 5x³ + 3x² X- 7x²

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Q: Critiquing Reasoning 1 A = 20 8. Polly was given the following problem: Determine the order of…

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Q: 7- Find fx³√3 - 2x² dx

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: •√√x + 2 Evaluate -dx using rationalizing substitution. Which of the following statements is…

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Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: Prove that the vectors v= and w= are orthogonal.

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Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Given problem:- Determine whether the following definite integrals converge or diverge and evaluate…

Q: We are interested in the first few Taylor Polynomials for the function f(x)= 7e + 3e-* centered at a…

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Q: 3. Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y…

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Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

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Q: The solution interval of 2y +12≥3 or 3y 1 or y≤ -1} .B O (-∞, -1]U (1, ∞ ).CO {yly ≥1 or y<-1} DO

A: We have to find the solution interval of  2y + 1 ≥ 3 or 3y &lt; -3

Q: Two functions are defined as follows: f(x)=7-2x² and g(x)=x²+4 (a) Use ANY graphing tool to…

A: Here We have to find the point of intersection of the two curves.

Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 7e-⁹x + 4 and…

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Q: (4x+5y=-3 5x+4y=3} x=-3 and y=3 x=3 and y=-3 .B x = -3 and y=-3.0 ( x=3 and y=3 DC Solve this system…

A: we have to find solution

Q: Verify that * ox af dy 2+ ?х ду ду дх ах 22+ 21 ?х ду ду дж 11 olems) for f(x, y)=5x®y -7xy5.

A: Here is the solution of the given problem.  Partial Derivatives.

Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 3x 6-X. x4. a.…

A: Given function, f(x)= 6-x, x&lt;4        =3x/4 +3, x&gt;4

Q: Given ~ √x³ √4-x² dx. Ⓒ-² (4-2²) dz Ⓒ√2 (4-2) 1/² d Ⓒ/(x++4+²) dz Ⓒ -√2² (4-2²) ³/2 dz dx. If we let…

A: topic- indefinite integral

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: answer is in next step.

Q: Lim x sinx x→ 0+

A:

Q: Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy 2y=x 3 dx dx

A: We can solve this as follows:

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

A:

Q: An equation for the vertical line through (-3,3) is x=-3 صواب O خطأ

A: Given: An equation for the vertical line through (-3,3) is x=-3.

Q: 5. Given z = arctan (), Find əz/ay

A: We can answer the question as below.

Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

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

Q: The sum of two positive numbers is 20. Find the numbers if the product of the square of one and the…

A: We have to solve above question and the find the two number

Q: 2. Evaluate: √²³ √ 2 - x + x dr

A:

Q: (b) Determine the rate of change of area A, of a circle with respect to its circumference C.

A: We have to find the rate of change.

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25