Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D egion and x-axis about the line ye 0:

Q: (2x+3) 8. S- (x2 +x+2)2

A: Let's find. 

Q: 2 + dx

A: Given :∫5x-3x2+2x4dx

Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a leve...

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

A:

Q: Convert the Transfer Function into Differential Equation. (s – 1)'s C(s) (s2 + 1)2s2 R(s) Convert th...

A:

Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A:

Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

A:

Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

A:

Q: 100 20.0 20.0 20,0 28,0 -20 100-20 100 -20 -20 m(x) п(2) Let h(x) = n(m(x)). Find a point x where h'...

A:

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

A: The domain of f(x) is the set of all possible values of x for which f is defined.

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

A:  

Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -...

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,     ...

Q: Using the fact that y1(x) e* is solution of the second order linear %3D homogeneous DE (7+ бх) у" — ...

A: First we find y2 (x) then find y(x) using initial conditions. 

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A: Given:  An environmental study in a community shows that the level of a certain pollutant in the air...

Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

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

A:

Q: Using Laplace transform, find the solution of the initial value problem. 5. y" – 4y = 6e³t – 3e-t, y...

A:

Q: Using distance formula, show that the points (2, -1), (0, 1) and (2, 3) are the vertices of a right-...

A: Our Aim is to show that the points (2,-1), (0,1) and (2,3) are the verticesof a right-angled triangl...

Q: y' = 4x(2y-y)

A:

Q: determine the value of k which will make h' (π/4)=6 when h(x)=In(cosx)+kx. a. 6 b. 5 c. 0 d. 7

A: Given, hx=lncosx+kx We have to find the value of k for which h'π4=6  

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

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx. (Ro...

A:

Q: S Vxi + 2x² + x dx

A:

Q: Direction: Find the derivative of the function. y = -z² + 3 Select one: O y' = -2x O y' = 2x O y' = ...

A:

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A:

Q: 24) Find the volume of the solid that results when the region in the first quadrant bounded by the ...

A: Given:- curve x = 6y3 and line x = 14.8 Now, 6y3 = 14.8 y3 = 2.467 y = (2.467)1/3 y = 1.351 In The F...

Q: s Vã(4 – x)dx

A: Given: I=∫19x4-xdx We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx, ...

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

A:

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A: We need to find pollution level.

Q: Find the parabola with equation y = ax? + bx whose tangent line at (1, 1) has equation y = 5x – 4. y...

A: Let's find. 

Q: Find the center of mass of the solid E bounded by the planes x = 0, x = 3, y = 0, y = 3, z = 0 and z...

A:

Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

Q: A particle is moving along the graph of 7(t) = te-tî+ t² î+ 2t k. Set up the definite integral that ...

A: Here, the given curve is: r⇀(t)=te-ti+t2j+2t k

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

A:

Q: The shape of y shifted right 3 units and shifted down 4 units.

A: Follow the procedure given below.

Q: Find the plane determined by the intersecting lines. L1 x= - 1 + 3t y =2+4t z=1-t L2 x= 1- 4s y = 1+...

A:

Q: Combination 1. A panel of judges is to consist of four women and three men. A list of potential judg...

A: This question can be solved using the concept of selecting r objects from n given objects when the o...

Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

A:

Q: y'(2y - x exY) = 2 +yexy

A: Given that:

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: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: Given fx=x25-9x if -1≤x≤0if      0&lt;x≤1

Q: 2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such...

A: Q=20 m3sg=9.81 ms2A=3y + y22B=3+yy= critical depthfy=1-Q2gA3BAim: We need to find theapproximate val...

Q: ,if x>2 Find the correct value of bb that makes

A:

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) = -bx...

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 6. i) Ide...

A: As per bartleby guidelines we only give first question answers. 

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -× sin2...

A: First order differential equation : Consider the first order differential equation                  ...

Q: 1. Given r(t) = 2 cos t i + 2 sintj+ 10tk; 0 <t< 2n , find the tangential and normal components of a...

A: