g(z) : nction defined on R by %3D 1+.Write ar ermine its domain. Explain your reasoning.

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A: We have to find values of a and b : Concept:

Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

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Q: d by f(z) = (x alytic, then C %3D

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Q: What is the antiderivative of f'(x) = 14x + 4 f(x) = What particular solution satisfies f( – 3) =…

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Q: Find the convolution f (t ) *g(t) f(t)=t^2,g(t)=cost

A:

Q: Suppose that f(r, y) = 3x y + 8a? + 4y? then find the discriminant of f.

A: f(x,y) = 3x²y² + 8x² + 4y² So, fx = 6xy² + 16x  &, fy = 6x²y + 8y  &, fxx = 6y² + 16 &,…

Q: X,X, X3 R.S. T3 %3D Bind dis tribution of Xo

A: Solution

Q: Let X; = tB¡ B,ds. | Is (X,)r20 a F - martingale?

A: Consider the given process:        Xt=tBt-∫0tBsds

Q: 3 5) Differentiate with respect to x: y = %3D 3x e

A: Solving the problem by finding the differentiation.

Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D A y +3

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Q: f(z) %3D

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Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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Q: Evaluate: xyze-(a+y+z) dxdydz 0.

A: The given problem is from the calculus and subcategory triple integration here in the given question…

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: Find the antiderivative of V1+ x² x³.

A: Our Aim is to find the antiderivative of 1+x2 x5.

Q: Find the general antiderivative of f(x) = 15x-3/5 and check the answer by differentiating. %3D

A: We have to integrate the function

Q: Find dy for the given values of x and ∆x. ; y = 2x3 + x2 - 4x; x = 2, ∆x = -0.2

A: Find dy for the given values of x and ∆x.

Q: Calculate the LOS of y = -x² + 4 LOS is x = a is b is c is

A:

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Evaluate..(x+.2.y.)dA..„.where.D.is.theregron. sunded. by.the.paradoolas.yz2x.and.y..l+x. 2 2

A:

Q: Sf(x)dと SgCx)dx, suppeat 9 Explain why SfC dx 7 goa) Counter ekample to やU8e a your claim .

A: Use substitute rule unless the integral can be simplified and directly evaluated. Counter example is…

Q: Find the general antiderivative of f (x) 25x-315 and check the answer by differentiating. %3D

A:

Q: Find the particular antiderivative of f(x): given F(8) = 2. %3D %3D 6x1/3

A: take the constant out-16∫1x13dxapply exponent rule: 1ab=a-b-16∫x-13dxApply power rule:…

Q: Calculate the LOS of y = x² LOS is x = a is b is c is

A: Given equation is in the form of ax^2+bx+c=y Here a=1 b=0 C=0.

Q: *Pivd the general Seltion to the

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Q: The mgf. of a r.v. X is (}+3) (+e) . Show that 9-x Ρ(μ- 2σ<X<με 20 - Σ (!) ( (3) P (μ- 2σ< <μ+…

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Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: O Evaluate, (a) / 3y* In (y) dy

A:

Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: - show that; L-1[e¬v$] = e %3D 2tynt

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Q: Find the domain of y = vx+6. %3D 12. O x 2 6 O x > 6 1/6

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Q: Evaluate 2y dS where S is the portion of y +z = 4 between x = 0 and x = 3-z.

A: To evaluate ∫∫S2ydS where S is the portion of y2+z2=4 between x=0 and x=3-z

Q: f (x) dx=6, ƒ (x) dx=2, and ƒ (x) dx=- 3, fir If A 4 B

A: We are asked to find the value of given.

Q: Suppose f(1) = 0,f(3) = 1,f'(1) = 2 , and f'(3) = -3. Evaluate Sxf"(x) dx. %3D

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Q: dx What is the best substitution to evaluate V2x 2х - х* |

A: Given I=∫dx2x-x2If we consider x=1+sinθ and dx=cosθdθthen,I=∫dx2x-x2=∫cosdθ2(1+sinθ)-(1+sinθ)2

Q: or f(x, y) a + y? – xy +1 -

A: Consider the given function as fx,y=13x3+12y2-xy+1

Q: -2 The domain of f(x,y) = is %3D x² + y?

A: f(x,y)=-2x2+y2

Q: Given f(*, y) = 8a'y - 4cy. Compute:

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Q: Find f f'Lx) = ZR? +aX-S and %3D to FlO)=4.

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Q: 8 If f(x) dx = 37 and g(x) dx = 12, find %3D [2f(x) + 4g(x)] dx.

A: Given ∫08f(x)dx=37 and ∫08g(x)dx=12We have to find ∫08(2f(x)+4g(x))dx

Q: .Evaluate the functions below using Gaussian Elimination Me 3x +4y + 2z = 10 x+ y = 1 x+ 4y + 6z = 4

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Q: ationalize the d V49

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Q: What is the degree of f(r, y) = 2y + Vr2 + y? ?

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Q: Assuming that f(x) dx = 3, f(x) dx = 4, and f(x) dx = 8, calculate Fx) dx. %3D %3D Jo f(x) dx =

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Q: Find formulas for dy and Ay if y = x² – 7x + 3.

A: To give the formula dy = f'(x) dx and    ∆y = f(x+∆x) -f(x)

Q: Find dy for the given values of x and Δx. y = 6x3 - 7x ; x = -3 and Δx = 0.3 .

A: