Find the indefinite integral

Q: Use a tree diagram to write out the Chain Rule for u = f(x, y), where x = x(r, s, t), y = y(r, s, t)...

A: Given u=f(x,y) where x=x(r,s,t) and y=y(r,s,t) 

Q: Evaluate lim Vx-2 x→4 _Vx3_8

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Q: Find the limit. est - 1 lim t-0 sin(t)

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Q: (S'34) 9uq Find vector, parametric, and symmetric equations of the line through (2,3,4) and is perpe...

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Q: Determine the eccentricity & type of conic ;write an equation of the directrix corresponding to the ...

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Q: What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

A: if m=512 To find: the value of costan-1mSolution :let tan-1m=θm=tanθtanθ=512=pbh=p2+b2h=52+122=13cos...

Q: Evaluate using long division first to write f(x) as the sum of a polynomial and a proper rational fu...

A: Given query is to find the the integral of the expression.

Q: Find the general solution to the differential equation. x' = t   4 + t x =

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Q: Determine the third derivative of y = In(2x + 3) Determine the third derivative of y = e(-x²/2)

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Q: f(x) = VT cos x2 COS 2x f(x) = x² + 4

A: Here we have to use the product rule Quotient Rule to find the derivative of the given functions.

Q: 1 2 1. Find the inverse of the matrix A = 2 1 4 4 5 10

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: Question Select your answer. if a 4 1 4 16 does not exist 2.

A: Given f(x)=1xif x<4,x2, if x≥4that is if domain of the function less than 4 then function is 1xIf...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

Q: What are the rectangular coordinates of the point whose cylindrical coordinates are (r = 9, 0 = 5, z...

A: given that, convert the cylindrical coordinates to rectangular coordinates r=9,  θ=4π9,   z=-7 conve...

Q: Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx

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Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: Determine if the function is a solution to the given differential equation. y = e7x −  ex 6 solves y...

A: The objective is to determine if the function is a solution to the given differential equation.

Q: roblem in neat and orderly manner. nogenous linear equations:

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1 and y-intercept 15

Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i ...

Q: 3. The shaded region shown below is a sector of a circle of radius 5 centered at the origin. Set up ...

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Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с....

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Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

A: Given s(t)=3t3+6t+9We know that v(t)=ddt*s(t)We know that ddx(xn)=nxn-1v(t)=ddt(3t3+6t+9)      =9t2+...

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: Væ2 - 64 dx. Evaluate

A: To evaluate: I=∫x2-64x3dx Substitute u=x2-64⇒du=12x2-64(2x) dx⇒dx=ux du  

Q: Southern Traditions sold the home decor division of their company 8 years ago and immediately invest...

A: Explained below 

Q: The position, in metres, of a particle moving in a straight line is given by the equation 30 s(x) + ...

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Q: (D3 – D2 + D – 1)y 4 sin x

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Q: Polar equations find the eccentricity Identify the type of conic Write an equation of the directrix ...

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Solve the problems. Show illustration. 1.A closed box, with a rectangular base,whose length is twice...

A: Note :-  These are multiple questions and according to our compnay law we can do maximum one questio...

Q: general

A: Please refer to the image below 

Q: 11+11-12=

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: Given that: Distance from the bottom of the wall, x=8 ftLength of ladder, L=10 ftSliding speed of wa...

Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: f(x) = 3x2 + 1

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Q: Mr. Wutz owns a hot dog business named 'Wutz upDogs.' The daily profit function, in dollars, when x ...

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Q: Evaluate the integral / 87 dr. Answer:

A: see below the answer and  calculation

Q: Don’t skip any steps please Polonium-210 has a half-life of 140 days. It decays exponentially, where...

A: Half life is 140 days, initially amount 100mg

Q: .Use the vertex and y-intercepts to write a forr - -2+ -3+ -4- -5+

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: dx Evaluate

A: ∫0919+x2dx

Q: Calculate the absolute and relative errors in the expression: -3cb – 2b –2, if the measurement of a ...

A: The given measures are a=4.5345, b=0.3858, c=2.1050. The measurements are correct up to four decimal...

Q: A2: DIFFERENTIAL EQUATION: Homogenous Linear Differential Equation with Constant Coefficient # 5 onl...

A: 5. D4-2D2y=0

Q: ſe^(3-z) sin(2+z) dz *

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Q: P15

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Q: dA = - 2A dt Find the general form of the function that satisfies 2A. A(t) =|

A: In order to generalize the differential equation, it should be integrated after separating the varia...

Q: sin 2.xdx Vsin? x- 3 Evaluate: а. 2Vsin? x -3+С b. sin? x-3+C +C d. Vsin? x-3+C с. Jsin? x-3

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Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: Find the solution vectors u and v such thất tne solution space is the set of all linear combinations...

A: The given equations are; x1-2x2+x3-x4=0 x1+2x2+x3+11x4=0 x1+x2+x3+8x4=0.

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   0xe−x dx

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