11-18 Find the solution of the differential equation that satisfies the given initial condition. 12. dx dy In x y(1) = 2 ху

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

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Q: Using drawings and detailed explanations for each, explain the three conditions for continuity at a ...

A: Here is the solution of the given problem: 

Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

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

A: FOLOOW THE PROCEDURE GIVEN BELOW.

Q: 2x -1 Evaluate the given function S dx 2X+3 a.+In[3 + e2*] +C b.- In[3 + e2*] + C 3 3 --+In[3 + e2*]...

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Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. -9...

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Q: Write down the first five terms of the following recursively defined sequence. a1 = -5; an+1= -2a, +...

A: Given sequence is  an+1=-2an+5with a1=-5To find the first five terms:  

Q: Q = 6x + 3xy + 2y

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: Evaluate // e² dV where E is enclosed by the paraboloid z = 2 + x² + y², the cylinder E x² + y? = 3,...

A: Since we are given with the multiple number of questions and answered according to the guideline.

Q: Scscx cotx sin (csc x )dx

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Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 . 

Q: A bacterial population Y is known to have a rate of growth proportional to Y itself. If between noon...

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Q: Repeating decimals can be expressed as an infinite series. Use the sum formula for an infinite geome...

A: The given number 0.81

Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

Q: 4x-12y+7z=10 x-4y+2z=4 -4x+11y-7z=-6 Use the gauss method and show every step please

A: The given system of equations,4x-12y+7z=10x-4y+2z=4-4x+11y-7z=-6

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

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

A: Topic:- application of derivatives

Q: If a sequence c1, c2, C3, . .. has limit K then the sequence eº, e%, e,... has limit eK. Use this fa...

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Q: ii. 0.9,0.99,0.999, 0.9999,..

A: This can be written as  9/10, 99/100, 999/1000, 9999/10000..... (10-1)/10, (100-1)/100, (1000-1)/100...

Q: The point P (3,-8) lies on the curve y = x2 - 8x + 7. The point Q (x, x2 - 8x + 7) is also on the cu...

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Q: Rework problem 8 from section 6.1 of your text, involving matrices A, B , and C. Use the following m...

A: We will use the following concepts to prove or disprove the following option. Results i) Matrix mult...

Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

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Q: / (3cosh m 2 cosh m sinh mdm +e°

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Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

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Q: 4 Integrate: x2 + 4x + 8 + C

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Q: 3. )dx \1+x

A: As per our guidelines we are supposed to answer only one question i.e. the question no (3). For the ...

Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

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Q: Variable Separable (6) (xy -3y +x – 3)y' = xy + 2y - x- 2

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: QUESTION 3 Find dy/dx if sin(2x) + e = 2xy+ In(2y) by using implicit differentiation.

A: Use implicit differentiation

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y= - ,x=2, and y = 0 abou...

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Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

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Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a tab...

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Q: have the cartesian coordinates x=3, y=9, z=3.  please show me how to convert to cylindrical coordina...

A: Given: x=3, y=9, z=3.  

Q: sec?xdx Evaluate the given function ſ V1-4tanx a.글(1-4tanz) +c ·극(1-4tanx)i + C c.(V1 – 4tanx)' + C ...

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Q: Let A be the area of the region that lies under the graph of f (x) = e-* between x = 0 and x = 2. (a...

A: The given region is: f(x)=e-x ;           0≤x≤2

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 open intervals on which the function f (x) = x + 6v4- r is increasing or decreasing. If the...

A: Solved below

Q: -3 -2 -1 1 2 3 Refer to the graph below to answer the following 5 questions. Record your answer to e...

A: We need to evaluate limit.

Q: Evaluate the definite integral ग ( -मुआा) using Part 1 of the Fundamental Theorem of Calculus. Remem...

A: We have to find integral

Q: The derivative g' of a function g is continuous and has exactly two zeros. The second derivative g'"...

A:   a) Evaluate integral from 5 to 1 of g'(x)dx. (problem also attached as a picture). Show your work....

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: e*dx e2x +1

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

Q: (vz-i, »). a Let 7(t) = (/2-i -1+e' In(t + 1) (i) The domain of 7 is [a] (input a number from below)...

A: The domain of a vector function is the set of all t for which all the components of vector are defin...

Q: The height (feet) of an object moving vertically is given by s = - 16t2 + 144t + 108, where t is in ...

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Q: 7. Find the x cand y nvercapts of f fG)=4hx" (x+7)3

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only first ques...

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: 1 Find the vertical and horizontal asymptotes of the function f (x) = , where q (x) = (ya+10)(10 – x...

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Q: 8. Find the exact value of each expression. 3V34 tan cos 34

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