If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

Q: Find the general solution of the following differential equation. y" + 15y + 56y= 0 NOTE: Use c, and…

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Q: Find the area of the region that is bounded above by the curve f(x) = sqrt(x−7) and the curve g(x) =…

A: The given curves: fx=x-7 and gx=19-x.The area is bounded by the above curves and x axis.

Q: 0 Sec Tanzdx subjektive (All see Tanxdx S see

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: a $0.9062 cos (1-√3x) dx = = : -0-1 a=0.5968

A: We have given a definite integral problem

Q: 4.5 √√w + 10√w³dw W

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

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A: Concept: The calculation of the angle between two lines in a three-dimensional space is comparable…

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A: Length of rectangle be l

Q: Exercise: Find the area 1. 2. of the region bounded y= y₁ q-x², x=0, x=2, X-axis. y=x²+₁, X=1, x= 3,…

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Q: Evaluate the integrals: 1. f2-* dx √x (ln 2-1) dx 2.

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: Evaluate the following integral using inversion of order: SS²x5 dydx

A: I =∫xn dx= xn+1n+1 Ans = 1/72

Q: Y=(3x+4)² find dy/dx

A: Y=(3x+4)² find dy/dx

Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

A: Given:      fx=x+1x interval is 1,6 There are two criteria for the Mean Value Theorem to be valid.…

Q: The evaluation of 2xe¹³ dxdy is 3e-1 O e-3 O e-1 O None of them O -3e C

A: Topic = Integration None of them

Q: Im seeking help for the bullet point that begins with 'Compare the two estimates dy...'. Thank yo

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Q: The value of the definite integral 2 [₁²³4x² is Select one: O 15 O none of the others O 14 O 16 SO…

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Q: f(x) = for x < for X D

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Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: The value of the definite integral 3 [²³ is Select one: O -30 (3x² O 45 O 6 O 30 O none of the…

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Q: 3. Find a result by using exact for a. cos(x + y) dx + (3y2 + 2y + cos(x + y))dy = 0 2)dx

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Q: identify open interval on which the function is increasing or decreasing. f(x)=sinx+2, 0<x<2pi

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Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

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Q: Find dy/dx if xy+2x+3y=1

A: Find dy/dx  if xy+2x+3y=1

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

Q: For a person learning to type, the number N of words per minute that the person could type after t…

A: We have to find rate of improvement as per given question.

Q: Integrate the function r3 So³ x² e ²x both analytically and numerically. For the numerical…

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Q: R is the region bounded above by the function f(x) = x/4 + 4 and below by the function g(x) = −2x/3…

A: Given, f(x) = x/4 + 4  and g(x) = −2x/3 − 4 The region R in interval of [1, 4]

Q: f(x) = x^2 − 3x + 2 and the line g(x) = x − 1 over the interval [0,2] .

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Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 plane (1) x + 2y + 2z =…

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Q: Moving to another question will save this response. Question 5 A bacterial culture triples in…

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Q: 1 Use the identity sin²x = to obtain the Maclaurin series for sin² r. Then differentiate this series…

A: Here is the step by step solution of ques 4.

Q: 2+3(4÷2)

A: Solving using BoDMAS rule

Q: 2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

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Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: If √²₁ √√1-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

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Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: Evaluate T 2 sin(2x + 3)dx = None of them 0.9989 0.9899 -0.9899 1.21 -0.9998 -0.9989

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Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: The recommended minimum credit card payment for a sample of 100 credit card holders is summarized…

A: To find the mean, median, model class and skewness.

Q: At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount…

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Q: Part 3 of 5 f(-2) = Part 4 of 5 f(0) = 0 Part 5 of 5 f(4) = 0 X X X S S S

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Q: If w = f(r,s,t), r = x-y, s = y - z, t = z - x then dw Əw + ?х -1 Əw дz 0 о II 1 -2 ( 2 O

A: Given the function w is function of variables r,s and t . further r, s and t are the functions of x,…

Q: ors are parallel u= and U= None of the others \(\) 6 \(\) -3 \(1) 2 10) 3

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: Find the general solution of the differential equation 49y" + 112y' + 64y = 0. NOTE: Use C₁, C₂ for…

A: We can solve as follows

Q: Find a result by using variable separation for ý=secy b- xý = x + y

A: As per our guidelines we only solve one question and rest of the question will be reposted.