x² : 4ay from x 0 to x = 2a

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A: Solution

Q: Find the area of the region enclosed by y = 4- ², y = -x+2, r = -2, and r = 3.

A: Area under the curve is obtained by using the double integration  The integration is given as I=∫ab∫...

Q: 4. Determine if the equation is exact, and if it is exact, find the general solution. a.) (y² + 2t) ...

A: According to guidelines here solution of only firt 3 subparts, thanku

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A: Given: P=5000 r=11% T= 8 years The formula to calculate the total value compounded monthly is A=P1+r...

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Q: f(x, y) = xy, R = {(x, y): x² + y² < 16}

A: Polar coordinate and rectangular co-ordinate  x=r cosθy=r sinθx2+y2=r2θ=tan-1yx The integral will be...

Q: Determine one real root of 2xcos2x – (x – 2) = 0 cn the interval (2, 3)using the Regula-Falsi Method...

A: Given 2x(cos(2x)) - (x-2)2 = 0  Let f(x)=-(x-2)2 + 2x(cos(2x)

Q: b. Simplify the following (Vm + n/36)(vm – v3) then classify if the result rational or irrational?

A: Note:- For sub- part (a), please resubmit the problem with mentioning the length because it's vary p...

Q: In n

A: Given as, an =Innn3

Q: f(x)

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Q: Evaluate -(~p +→ p) → ~q using the table below: T. F T F TFFT TTFF FFTT FTFT TFTF O FTTF

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Q: What is the value of af (x, Y)

A: The given function is fx,y=3x2+y3+4xy2+8 ∂∂yfx,y=∂∂y3x2+y3+4xy2+8=0+3y2+8xy

Q: 2. Find [a* dx.

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Q: .1 Use a calculator to calculate the following. Write your answer using the rounding instruction wit...

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Q: f(x) equals      {0, -5 <x<0}                         {3, 0<x<5}   Write the fourier series corre...

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Q: 2. Let f : (0, ] → R such that f(z) = r². • Show that f(x) < z. • Show that f has no fixed point on ...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: Question 6) In problem VI, find the absolute value of the integral from the following: a. 0.4358 b. ...

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Q: 21 Care must be taken when the solution of a DE involves inverse functions. Solutions may be inadver...

A: Question (a) and (d) asked only.

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A: This is a problem of counting.

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A: We can solve this following equation by guss Jordan elimination

Q: 2 If sultana grapes cost R2,40 per kilogram, how much will 9 kg cost?

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Q: Compute the inverse of the matrix A = -2 -9 7 or state 1 -9 nat A is singular. s the matrix A singul...

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Q: What is the vertical shift of the purple function graphed below? -3.5- -3- -2.5- -2 A:5 1:5- -0:5- 9...

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n. I...

Q: Obtain the inverse Laplace transform: 4s+4 s² (s-2)

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Q: What is an equation?

A: In mathematics, there are many different terms used. Some of the basic terms are coefficient, variab...

Q: 3. Suppose that the characteristic polynomial of a square matrix A is fA(^) = –X³ + 3A (a) What is t...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three subp...

Q: Evaluate the given function ƒ sin*xdx sin(2x) 3x а. 8. sin(4x) + C 32 4 sin(2x) sin(4x) + C 3x b. 8....

A: Solution

Q: Given the following LP Max    4x1 + 6x2 s.t   1.  2x1    +  2x2   >_   3,        2.    x1 +  3x2 ...

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Q: The solution of y'y = 2 is a relation that is not a function. %3D a Find the general solution of the...

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Q: 9. What is the u-substitution to solve dx ? A. u = x? 2 B. u ==+5 1 C. u = D. u = es

A: Solution :-

Q: (f) Letf : A →→ B and g : B → C be functions. Prove that if g of is one-to-one, then f is one-to-one...

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Q: Find the inverse Laplace transform 3s +1 b) s(s? +1)

A: We need to find Inverse Laplace of ,  Fs = 3s + 1ss2 + 1 First we need to Partial fraction of  F(s)....

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

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Q: 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate the value of f" (0.5) u...

A: The difference between successive values of x is called the step size. Consider h as the step size. ...

Q: The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) i...

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Q: What is the approximate value of the first derivative of S(x)=-0.1x*-0. 15x-0.5x-0.25x-1. 2 at x-0.7...

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Q: What is the inverse of the statement: "An ideal woman has a motherlike attitudes."? O If she's mothe...

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Q: 38 Divided by 3

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Q: (f) Let A, B and C be three sets. Prove by contradiction that if An BC C and r E B, then x ¢ A - C.

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Q: a) Given f(x) =- ax +b , where a and b are constants. Find f'(x) by using the first principle. dy fo...

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Q: 6. What is the volume of the region which lies between the spheres p = 3 and p= 2 cos o, and inside ...

A: we have to find the volume of the region which lies between the sphere ρ=3 &amp; ρ = 2cosϕ and insid...

Q: If z=f(x,y), x= r cos θ and y= sin θ, where f is a differentiable function expressing az/ax and az/a...

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Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and ...

A: Definition: A simple graph whose set of vertices can be partitioned into two sets V1 and V2 such tha...

Q: 1 x2 – 12 x + 6 2x +8 lim

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Q: convert to polar form: a.) √2 (160)sin (wt+30°) b.) 20sin(377t-90°)

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Q: 2. sir

A: I am solving the first question as per guidelines . Please repost the remaining  question. Given ∫si...