This evaluates as the following. '5 W = 176,400 (7х — х?) dx 15 = 176,400 = 176,400 The work W required to pump the water out of the spout is the following. W =

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y =...

A: Given:    f(x) = 7x(x-2)2

Q: A 10-ohm resistor and a 5-Henry inductor are connected in series with a voltage source rated at 20 V...

A: use KVL

Q: For f(x) x2, wr F(Xth

A:

Q: The definition of the error function also defines an "error term" E(z, y). 15 Find E(x, y) for the f...

A: Given:    x^3 + y^3 = 15/56 xyz     Point : (8,7,57)

Q: dx • A population is modeled by the equation ka (a – a), dt where a and k are positive constants. Wh...

A:

Q: Find the most general antiderivative of f(x) = -3x – 7xL7. Note: Any arbitrary constants used must b...

A: Topic = Integration

Q: This is a three-part problem: Let D be the region bounded below by the plane z = 0, above by the sph...

A: Given:    Speher : x2 + y2 + z2 = 4      Cylinder: x2 + y2 = 1      Plan : z = 0

Q: ind the general solution : a csc() – y] da + ædy = 0 X CSC x = e (csc + cot ) In (ese + cot ) In = c...

A:

Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter y...

A:

Q: 1419857* 4913*

A: We know that, ∫axdx=axlna+C And The exponent rule: anbn=a×bn   Given: I=∫1419857x4913xdx

Q: Find the exact length of the curve. + 4х 1 < x < 3 y

A:

Q: Given the differential equation da? d'y dy 6y = 0 and the initial - dx conditions y(0) =0 and y'(0) ...

A: Given: d2ydx2+dydx-6y=0 And The given particular solution is; y=-6e2x+6e-3x   ...1   We know that, T...

Q: sine E and <7, then find cace 3m csc 0 = 5. If cose 2, then find cac @ sec 6

A: Given that:cscθ=-135π2&lt;θ&lt;3π2To find:sinθcscθ+cosθsecθ

Q: dw 5. Ve200 -1 sece"

A: We have solve to evaluate the integral

Q: A spring has natural length 28 cm. Compare the work (in J) w, done in stretching the spring from 28 ...

A: Given:- A spring has natural length 28 cm. Compare the work (in J) W₁ done in stretching the spring ...

Q: y" -y + 2x t2 where: a (0) = a' (0) = 0 %3D y (0) = y (0) = 0 Find: L (y) L (y) 293 s+2 - OL (y) = 2...

A:

Q: dy A possible solution to the differential equation t dt (2) + 2y = 4t + 1 would be: y = # + 4t 1 3 ...

A:

Q: State the value of each of the quantites below. A) limx---> -4^-   F(x)= B) limx---> -4   F(x)= C...

A:

Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

A: Given that: The difference in Temperature of the Metal Block and Room at 5:30 PM is 5oF. Label as Td...

Q: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10 ...

A:

Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and f...

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does n...

Q: Find L(y). / + 2x = 2 - x' = et (0) = x (0) = 0 -2 L (y) PL(y) = %3D s(s2 +2) 2s L (y) = %3D (s-1)(s...

A:

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of fres...

A: The answer is 32kg

Q: 2. If P(0) is a point on the unit circle and 0 (0)? , what is the coordinate of P

A: Given query is to find the coordinates of p.

Q: x2 – x – 6 lim 1+-3 x2 – 5x + 6

A: It is of 0/0 form ,we have to eliminate first its factor.

Q: Tan -30  find the exact value of each trigonometric function

A: The given trigonometric function is: tan(-30)

Q: Find L(5 t2n+1 – 4)° } - 4)}

A:

Q: 5) Find the average value of f(x) = x on the interval [1, 8].

A:

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

A: We need to find surface type and intercepts.

Q: What is the smallest number of terms of the series > (-1)"*! 1 that would have to be added in n 6" o...

A:

Q: )) find the volume of the solid obtained by rotating about the X-axis the region bounded by the curv...

A:

Q: Given the differential equation: y"+3y'- 4y = e42 Propose an appropriate particular solution Yp = (A...

A:

Q: A chemistry student heats a beaker that is at room temperature (30 ° C)by inserting it in an oven th...

A:

Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post contain...

Q: Graph the function. s)--2/x-4 Plot four points on the graph of the function: the leftmost point and ...

A: See the graph given below and x can't be less than 4 because for x&lt;4, square root of X-4 become n...

Q: Find the most general antiderivative of the function g(x) = V#³+ V. Answer: G(x) =

A: Given that:gx=x34+x43To find the antiderivative

Q: If f(x)=3x^2−x+3​:   A. An estimate of f′(5) using the interval from 5 to 5.1 is___.   B. An estimat...

A:

Q: Find the limit  1) lim x--->2   ( x^2-x-6 ) / ( 4-x^2 ) 2) lim x--->0  sqrt(9+2x)-3 / 5x 3) limx-...

A:

Q: Find L{{t"+3)*} O none of the choices given n! sn+1 n! 2. +6 S2n+1 n! 6. sh+1 (2n)! n! s2n+1 +6 sn+1...

A:

Q: siny+ tan y = siny %3D 12. 1+ secy

A:

Q: 3 dy 1+a da The differential equation dx? O second order and ordinary O linear and ordinary O non-li...

A:

Q: Construct an appropriate triangle to find the missing values. (0° s05 90°,0s@s/2) Function e (deg) e...

A:

Q: dy For dx Vy + 2x – 5 2. the substitution m = y+ 2x converts it to which of the following separable ...

A:

Q: 30 27 24 21- 18 15 12 -4 For the above function f( x ) = 7 - 1.45*, estimate f (1) using h = 0.001 f...

A:

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t³j ...

A: Given: - The function is, r(t)=ti+5tj+t2ku(t)=5ti+t2j+t3k To find: - The derivative of (2t)u(t),

Q: The function f(x) = x° - 9 is one-to-one. 1 a. Find an equation for f ', the inverse function. 1 b. ...

A:

Q: After applying variation of parameters to y "-2y +y = the following equations are (1+2?)" obtained q...

A:

Q: Integrate using the

A:

Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz ...

A: here we have to prove the formula of distance between 2 parallel planes.