If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit...

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 ...

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Q: g(t)=4t^3+3t^2, find g’(3)=

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Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: 4. A metal is heated up to a temperature UI J000C. Il 1J UIUI will the temperature be 1000C? what is...

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Q: 5. (4x'y- 15х? - у )ӑx +x* +3у - х)dy-0

A: Differential Equation is              4x3y-15x2-ydx+x4+3y2-xdy      It is of the form Mdx+Ndy=0     ...

Q: To improve her handwriting, Hope practices writing the numbers from 1 to 200. How many times will sh...

A: We have considered numbers 1 to 200 in two class. The first class is from 1 to 100 and the second cl...

Q: 2) Explain in your own words what is meant by lim f(x) = 5. x→2 Is it possible for this statement to...

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Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx 

Q: Given the general solution y(1) = C,e- + c,e and the initial conditions y (0) = 7 and y'(0) = -6 Det...

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Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

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Q: The function below is continuous at every real.number. Find the value of (m + 3/2). 1– 2x if x >4 mx...

A: We have to find 

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution Given that If we add 1 in both numerator and denominator then we get a fraction 4/5. And i...

Q: lim Vx² – 36 X-6 1. 1 lim x² – 4 2. 3. lim v9 – x² X-3

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Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated point...

A: Given, y= 2x/(x-1) By differentiating we get the slope of tangent.  

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression. 

Q: 2. x + ( 1+x)y = e * sin2x dx

A: Tp solve the following differential equation

Q: Find the sum of the infinite series, if it exists. -16 -64 32 8, , 5, 27· 3 Enter the sum as a fract...

A: The given infinite series,8, -163, 329, -6427,.......

Q: Arc sin -+ Arccos =0 y y

A: Given that sin-1xy+cos-1xy=0find dydx

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing no...

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes ...

A: Solution is written in below steps.

Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

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Q: find the average value of the function on the given interval 7T 5. COS on 0, 6. sin x on (0, 7)

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Q: de (x-3)Vx2-6x+5 arcsec + C; and 0.0008 none of the choices arcsec + C; and 0.0174 arcsec + C; and o...

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Q: The average change of a function f over an interval [æ1, x2] is f(m2)-f(#1) First find the average r...

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Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

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Q: Evaluate the definite integral 2 (5e +8x)dr using Part 1 of the Fundamental Theorem of Calculus. Ent...

A: Given problem:-

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and contain...

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Q: A radioactive substance decays at a rate that is proportional to the amount of the substance present...

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Q: What is the relation between a one-to-one function f and the function (f-1)-1? 1.

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: D Find a singular saluhion of DE: %3D

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Q: A. Evaluate each of the following indefinite integrals: S*(1+v*) -ldv (cor-ly2) 2.

A: Solution is given below:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph...

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Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 . 

Q: 2t – 3t2 | (c) h(t) %3D a = 1 1 + t³

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Q: Find the general solution of = 0 y" – 2y"' + 10y":

A: Given: y(iv)-2y'''+10y''=0To find the general solution of given differential equation:General soluti...

Q: If ã = <!,2,37 and b=<5,0 -17, find the vector pojection of %3D %3D ŏ onto à.

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Q: the given expression : x^2 - 4x + 6 is equal to. SUBMIT YOUR SOLUTION none of the choices (2x - 2)^2...

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Q: Eliminate the arbitrary constants b^2 x^2 - a^2 y^2 = a^2 ^b2

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: dx Evaluate the given function f xlnx а. In (lnx) + C b.lnx + C с. х + С d. - In(lnx) + С e. None of...

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Q: Mr. Ed Panem (GCOE) is tasked to schedule the final examinations for SUBJECT A, SUBJECT B, SUBJECT C...

A: Given: Total subjects=8Subjects name=A, B, C, D, E, F,G, HStudents are not taking both=AH, BH, DE, D...

Q: 2x 入t]

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Q: Problem 1. Set 2x f (x) = | V16+ t+dt. (a) Show that f has an inverse. (b) Find (f-1)'(0).

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Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

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Q: (h = 0.1) (h = 0.05) У(1.2) ~ У(1.2) ~

A: FOLOOW THE PROCEDURE GIVEN BELOW.

Q: 2x+5 교-4x+6

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Q: Evaluate the integral below along the given path. (Give your answer correct to 2 decimal places.) C:...

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