When can I use U-substitution, Integration by Parts, Trigonometic Substitution and Integration by Partial Fractions? please specify

Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about...

A:

Q: On the graph of f(x) = csc x and the interval (0, 27), for what value of x does f(x) = –1? Choose al...

A: Topic:- trigonometry  

Q: 1. y 10 – 2x6 dx

A:

Q: a) a fonction f (x)y) is homogeneous of degree 7 in X and y it and only it, 3 b.) The function f(xy)...

A: Given some homogeneous equations and we have to calculate the degree of those functions. Homogeneous...

Q: Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx *...

A:

Q: 2. lim f(x) and lim f(x) if f(x) = V4-x2 %3D X-2+ X→2- х-2

A:

Q: 1.)(x + 2) * t * a * n * y * d * x + (x ^ 2 - 2) * csc(y) * d * y = 0 2.)(y ^ 2 - xy) * d * x + (xy ...

A:

Q: x- 1 (i) y = () y = Vx(Vx+1) x + 1

A:

Q: 1+ cost -dt = со 1- cost True

A: We are asked to find given statement is correct or wrong

Q: Finding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable...

A:

Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=²; y=vx; dy=vdx+ xdv

A:

Q: Evaluate each of the following indefinite integrals. (a) J5t – 10t-6 +4 dt (d) Say (b) Jx° +x° dx w+...

A:

Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

A:

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Given: V(t)=14550e-0.169t

Q: Find an equation of the line tangent to the graph of G(x) = 7 e -5x at the point (0,7). The equation...

A:

Q: 4) y -2sin x, y=-2cos x, X -- 6' 6.

A: Since you have posted multiple question in this question which re not interlinked so i have solved f...

Q: Evaluate whether the following initial values is true in the function: y=4cos(x/2)+3x² a.) when x = ...

A:

Q: 4 – 2x dx. x3 + 2x2

A:

Q: x'dy+ (2xy – y° ktx = 0 2. Let the substitution y=2; y = vx; dy=vdx+ xdv y

A:

Q: XV In(5x) We substitute u = In(5x

A:

Q: x(/x+y) +у) — 8 — ху

A:

Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly int...

A: Given:The average score in percentage is given by:

Q: -20 e cos 30d0

A:

Q: Do the following tasks using Mathematica. Given, f(x) + x? g(x) = T sin(x) %3D (a) Plot the above fu...

A: Given functions: fx=xx+x2gx=πsinx Formulas used: ∫xndx=xn+1n+1∫sinxdx=-cosxx=x,       x≥0-x,     x&l...

Q: e2x +2e* dx e* +1

A:

Q: P3.A: Find the area bounded by the curve y = (X 2)(x+ 1)(2x - 1) and x-axis.

A: Given curve is y=(x-2)(x+1)(2x-1) area between curve and x axis is required to find.  

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: Solve the homogenous equation. 1. y'dx-(xy+ y³ \dy = 0 Let the substitution y=²; y=vx; dy=vdx + xdv ...

A: Substitute v = yx and solve the given differential equation. Note : As per our Guidelines , we can s...

Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by...

A: Area of parallelogram of the vectors a and b is a×b.

Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx

Q: dy 9x using 5. Find the slope field of dx GeoGebra.

A: This is a problem of the slope filed plotting. In this given question dy/dx is representing slope of...

Q: Agree. function always exist? Justify: Disagree 2. Does the limit of a

A:

Q: y=2C1cos(2x)+C2sin(2x), Eliminate Arbitrary Constant

A:

Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

A:

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

A:

Q: g(z) h(2) If f(z) = then f'1) -

A: Given that:f(x)=g(x)h(x)                        

Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Given: y=x3, y=1, x=0 &amp; x=1 From the given curve the bounded region is as shown below: Apply th...

Q: 1. y'dx-(xy + y* \dy = 0 Let the substitution y=2; y= vx; dy=vdx+xdv

A:

Q: A scientist places 2222 mg of bacteria in a culture for an experiment and he finds that the mass of ...

A:

Q: x^2y=4+Cy Eliminate Arbitrary Constant

A: Here we will eliminate arbitrary constant,  

Q: Find the orthogonal trajectories of the given family of line y = Ce-mx with m held fixed. %3D

A: Given: y=Ce-mx

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: id the Domain ol y= Tx-31 (x¢4/

A: Follow the procedure given below. Domain means value of x that defines the function.

Q: What is the equation of the curve whose slope at the point (x, y) is 3x² if the curve is also requir...

A:

Q: (a) y = -T (b) y = 2x° + 3x (c) y = x² + 5x 7 (d) y = x(x - 1) %3D -

A:

Q: Evaluate the integral of the following 1. 6x° .5 182? + 7 dæ

A: Topic:- integration

Q: x'dy +(2xy – y* kdx =0 2. Let the substitution y =2 y = vx, dy=vdx+ xdv

A:

Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

A: