Find the distance between G(-4, 3) and H(4, 7). Show all of your work. d = √√√(x₂-x₁)²+(y₂-y₁)²

Q: xdx 5. I 4x 2 * – 4x +1

A: Given, ∫xdx4x4-4x2+1    ∫dx3x-73 We have to evaluate the integral

Q: (a) √|2|=3 (2²+1)2dz. (b) S₁2=22(2²1) dz. z³(z−1)

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Q: E(-1,1) is the midpoint of D(a-2,5) and F(2,b). Find the value of a and b.

A: The detailed solution is given below Thank you

Q: Simplify & show your work: V54x"y19

A:

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: 5. m/DGF = (8r - 31) (4r + 7), E H.

A: Given,

Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x…

Q: Find Df, Rf : Y= 3/(2x+1)

A:

Q: Let y = 2x + 2 and t = x + 1.What kind of variation do y and t have? Explain.

A: Given: y=2x+2t=x+1

Q: 2x=20,x what is the comma for

A:

Q: 2. Evaluate z²+1 Z (a) J₁2-2 (2-13dz. (b) √₁2-2|=1 (2²-4)²· √3dz.

A: The given problem is to evaluate the given complex integrals over the given counter of region. We…

Q: (),-- dz For z = -5x* – 3y and a point PER², you have = -4. dz Determine the value of

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Q: Which are the roots of the quadratic function f(b) = b2 – 75? Select two options.

A: Solution: The objective is to determine which roots

Q: Y-(92x²2x) (4x + 92x²) Find the dy

A: Product Rule of differentiation : du.vdx=udvdx+dudxv. dxndx=n.xn-1

Q: Cos2 10x d 8.

A: The integral is given by,

Q: 2.) 2 (x -y)dx + (3x² - GxY - 2x) dy

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Q: –dx (1 +x) (x+1)Vx² +2x-2

A:

Q: 1 d.x + 9 4x²

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Q: 8. Evaluate (a) J₁2-2 22+2+d; (b) J₁2-22²-22-3dz

A:

Q: For y=2x6−9x3+5x​, find d5y/dx5.

A: Given function:- y=2x6-9x3+5x

Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

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Q: Approximate 3 (x – 5) dx 0. using 4 rectangles, and right endpoints of each subinterval.

A:

Q: The height of a cannonball is h(t) = -16t2 + 64t + 10 feet, where t is measured in seconds. At what…

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Q: 5 4x³-3x²+12 10. Find y = dx

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Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: 2 dx dy 2 2 4+x +y -√√² √√4-y² So

A:

Q: evaluate using the appropriate method or combination of methods.

A: Factor the denominator

Q: 7x2 + 15 dx. x2 + x Compute f

A:

Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: (25х + 14) ег dx -

A: We solve this problem by help of integration by parts.

Q: Arctan°9x dx =b Arctan 3x+C, i+9x2 what is b?

A: Solving the given integral by substitution.

Q: Evaluate: = -13 [(x + 5y) dx dy -41

A: I = I = I =