Evaluate the following. Show solution using the basic formulas. 1. S(3x² – 8x + 7)dx

Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

A:

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x? - 3, g(x) =4x - 5 (fo g)(x) = (Simpl...

A:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E(- 1)n n ...

A: Given series is ∑n=1∞−1nn2⋅n+2!n!43n. Use ratio test Here, an=−1nn2⋅n+2!n!43n. Now,  limn→∞an+1an=li...

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the...

A:

Q: Graph the function fix) =x -1 over the interval (0, 21 Partkion the interval into four subintervals ...

A:

Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

A:

Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

A:

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

A:

Q: The path r(t) = (t – sin t) i + (1- cos t) j describes motion on the cycloid x =t- sin t, y = 1- cos...

A: Here, the given curve is: r(t)=(t-sin t)i+(1-cos t)j

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

A:

Q: Given the differential equation 2 y" + y' = 6x (1) Find the Characteristic Solution, (2) Find the Pa...

A:

Q: The intensity of a sound is given by =1,10° ", where L is the loudness of the sound as measured in d...

A: According to question,Given Intensity of soundI = I0100.1L “Since you have posted a question with mu...

Q: The graph of g(x) is shown. 4- -1 3. 4 If it exists, compute the exact value of lim g(1.75 + h) – g(...

A: Explained below 

Q: (x-G -0 +2) dx + 2(x+2y+2) dy:

A:

Q: Describe the end behavior (long run behavior) of f(x) = x° As x → 00, f(x) → ? - As x → 00, f(x) → ?

A: The given function f(x)=x6

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: To find uq and uz we use very similar formulas. Due to how similar the formulas are, you will want t...

A:

Q: S dr 1+r

A:

Q: Subtract in the indicated base. 1002, 3224 10024 3224

A:

Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −...

A:

Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: Find the first derivative or h'(s) of the function below using the techniques of integration: 4 h (s...

A:

Q: On what category of Methods in finding roots of nonlinear equations does the Newton-Raphson method f...

A: Topic:- calculus

Q: Given the characteristic solution y(x) = C,1-2 + C,r-3 Set up your Particular Solution, then use it ...

A: We have to find out

Q: sin? 2x dx 1+cos 2x

A: solution:-∫sin22x1+cos2xdxwe know thata2-b2=a+ba-bsin2θ+cos2θ=1sin2θ=1-cos2θ=1+cosθ1-cosθ  

Q: (3xy – 4y – 1) dx + x(x-2)dy - 0 %3D

A: According to question,Given first order differential equation3xy-4y-1 dx + xx - 2 dy = 0

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

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 3. dy = ( x - 3y)dx

A: Let's find. 

Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

A:

Q: Find the cross product u x v and verify it is orthogonal to both u and v. a) u = 4i + 3j – 2k and v ...

A:

Q: If 2 ak = 6 and E bk = 36, find the following values. %3D k= 1 k= 1 n bk E 5ak. E 36 k= 1 E (ax + bx...

A: ∑k=1nak=6 and ∑k=1nbk=36

Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = 3x+1, g(x) = ...

A:

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

A: Solution of given question is written in below steps.

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

A:

Q: 2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

A:

Q: dy y = 5x y?, 7.2 dx +

A: Follow the procedure given below.

Q: Suppose that L is a location function of an object, given as L(t) = /3t + 1. We will compute the ins...

A: Solution of given question is written in below steps.

Q: (1 + cos x)y’ = sin x(sin x + sin x cos x – y)

A:

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 400,000 lb of glass co...

A:

Q: Express your answer as a polynomial in standard form. f (x) = -3x – 14 g(x) = 3x? – æ + 15 Find: (f ...

A:

Q: Determine each feature of the graph of the given function. За — 6 x² – 6x + 8 f (x) = Horizontal Asy...

A: Given: fx=3x-6x2-6x+8 (a). As we know that, To calculate the horizontal asymptotes, solve the limit ...

Q: ditferential equatios 1. ( D+ GD+ 13)y 26 + GO cOS X

A:

Q: 4. The function f is defined for all real numbers. What is a reasonable estimate for lim f(x)? a. -5...

A:

Q: z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), E Find (0,6,0), and (0,0,3)

A:

Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, ...

A: The given functions are f(x)=5x-2  &  g(x)=-7x2

Q: Title: Limit Definition of Derivative and the Tangent Line Tasks: Solve the following problems compl...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

A:

Q: If y 3x-5, then find the tangent and normal equations X=3 %3D

A: First we find slope of line.  Then equation of tangent is         y-y0 = m (  x-x0)  For normal equa...

Q: Suppose f'(x) = p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are th...

A:

Q: 6. (2xy + y) dx + (x? - x) dy = 0.

A: