00 1 1 dx x2 + x

Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of eq...

Q: Given: sin a= & in Quadrant I and cos 8= - 12 in Quadrant Il; evaluate the following expression. tan...

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Q: sec(/æ) tan(/x) dx

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Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

Q: dy 4x+xy? dx

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Q: In getting the derivative of a rational function, just get the derivative of

A: Topic:- derivatives   

Q: 3 (x³-4x)dx

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve to x = 4 ab...

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos() -2 <ys ...

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Q: dy Write down a differential equation of the form ay +b whose dt all other solutions diverge from y ...

A: Here we are required to find a differential equation of the form dydt=ay+b. whose all other solution...

Q: 25. Evaluate the following definite integrals. dy d) (y+2)

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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form.

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Q: The integral represents the volume of a solid. Describe the solid. sin(x) dx O The integral describe...

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Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

Q: Sse sech²xtanh²x dx 2.

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Q: B. Odr + (2r +1- Or) d0 = 0

A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

A: Given problem:- Acceleration of a Car The distance s (in feet) covered by a car t seconds after star...

Q: A. (1+ 4xy – 4x² y) dx + (x² – æ³) dy = 0 | - B. (y – sin? x) da + sin æ dy = 0

A: A detailed solution is given below 

Q: Solve for the differential equation

A: Note: In the first question given equation is not clear as only left hand side of the equation is gi...

Q: 1. dx てナメてナて

A: We have to evaluate the integral

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: we should find the height of the rectangle such that the window will admit the most light.

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x? ...

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Q: Use sigma notation to write the Taylor series about I = 6 for the function. 1 Σ

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Q: Sam's Smoothies serves many kinds of smoothies by blending fresh fruits and yogurt. Alex loves smoot...

A: Given query is to find the amount spend on smoothie.

Q: 1. Write the first five terms of the sequence п а) а — 3" п b) а, = sin п c) a̟ = (- 1)'(÷) (– 1)***...

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Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 20 minutes, 6.5 millig...

A: Given query is to find the atime taken to reah the radioactive to 2 mg.

Q: Integration by trigonometric integrals/substitution: (4-3 cos (x)) sin²(x)dx

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Q: integrate [7x ^ (- 2/3) + (x + 2) ^ 2] dx

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Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 ........ -1 ...

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Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

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Q: — 4т + 10у — 6 2 — 5у — 3

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Q: Recall how to identify the limit and exact value of each function givenc using a graph. Given the gr...

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Q: Given: sing = - e is a third quadrant angle, and tand = - is a second-quadrant angle; find cos(e+ d ...

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Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers ...

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Q: Use cylindrical shells to find the volume V of the solid. A sphere of radius r V = %3D

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Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor ...

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

Q: Exercise: Do as indicated if x 4. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞, 0)? 3 – ...

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Q: 3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

A: We know, ∫0∞e-x2dx=π2. ∫2e-x2πdx=erf(x) erf(1)= 0.84(approx)

Q: [3 1 B = [4 3 1] [1 21 and C = 3 4 Compute ABC if A = 11

A: Given:- A=12-13 , B=312431 ,C=123410 To find:- ABC

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: First we draw a graph then find volume.  Interesting point are 0 and 1 then using limit 0 to 1 . 

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the properties of logarithms to expand log . Each logarithm should involve only one variable and...

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Q: Consider Line 2, which has the equation: y = 9 Give the equation of the line parallel to Line 2 whic...

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Q: cos( + B) = O V2(cosB + V3sinB) V3(cosB - V2sinB) O V2(cosB - V3sinB)

A: Value of Cos(π/3 + B) will be

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,...

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Q: I. The Fisher effect theorizes that nominal interest rates observed in financial markets must compen...

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Q: Write an equation (any form) for the quadratic graphed below: -2- -3 -2 -4 y = 3.

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