Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x + 3 The graph of g can be obtained by shifting the graph of f unit(s) to the left î

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Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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A: As per our guidelines we are supposed to answer only three sub parts. For the solution of first…

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A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

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A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

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Q: 2) √ x¹ (5-x²) dx

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Q: Evaluate the following integrals. 2. √x* +5x³+ x+5x³+20x+16 x(x²+4)² dx

A: Solving

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A: Note that, according to Bartleby Guidelines, In the case of multiple questions, we can answer only…

Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy

A: Answer of the above integration is

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Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: b. fx(x, y)

A: Find derivatives of f(x,y) with respect x

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: 100gal=Initial amount of water in 400gal tank50lb=Initial amount of salt in the tank1lbgal=salt…

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A: 1st we have to differentiate the given function and  then put the given value.

Q: Find a, and d for each arithmetic series. 61. $20=1090, 420= 102 63. S16-160, a16-25

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Q: Determine whether the improper integral diverges or converges. 6° x²ex dx converges O diverges…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: dy √e²y-1 S

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Q: 3. y = (x+b)(x-a). (x-b) ; y

A: A detailed solution is given below. Use logarithmic differential to solve it.

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A: We have to find the volume of bounded region in the interval [-1,1].

Q: 8. Use the method of Lagrange multipliers to find the maximum value of the function f(x, y) = xy…

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Q: 2. y=(2 tan² 20-1/²

A: To find derivative of given function.

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A: The given integral,      ∫3x+1xdx

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Q: 4 2 + Find the area of the portion of the Sphere x² + y² +2²= 9 between the planes Z=1 and 2 = 0.…

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Q: 3. (2 + y² + xy2) dx + (x²y + y + 2xy)dy = 0

A: As per the guidelines I can solve only one question

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Q: Solve for dy/dx and simplify the result y = (5x + 2)6 (3x² +7)7

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: 3. Solve the linear system below using Cramer's Rule. a+b+c+d=13 2a + 3b c = -1 -3a + 4b + 2c + d =…

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Q: X 1.-+ J y = 37ab2, y" X

A: Let's find.

Q: List all x-values where f is not continuous. lim f(x) = X→∞ g. Is the value of f f(x) dx positive or…

A: e.  From the graph function is not continuous at  x = 3    f. for x→∞   f(x)=1limx→∞f(x)=1

Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.