6. Find the area of the region enclosed by the graphs of y = VT+1 and y = r – 2 and the vertical lines r = 1 and a = 4.

Q: Question Select your answer. A function f(x) has a critical number a = c. Which of the following…

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Q: 10 rp|9 |10z 5 da

A: Follow the procedure given below.

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A: Given:     y= arccos-1

Q: What is/are the critical number(s) of the function S(2) = +4, f(z) :

A: f(x)=x2+4xDifferentiatef'(x)=x2x-x2-4x2f'(x)=2x2-x2-4x2f'(x)=x2-4x2

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A: Evaluating the definite integral and equating it to 0

Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

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A:

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: 4.

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Q: 12. A. If possible, give an example of 2 divergent sequences an and bn such that E(an + bn) has a…

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Q: Find k so that the following function is continuous on any interval. S f(x) = 7x 2 < x kx 0 < x < 2…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the…

A:

Q: Express the limit lim > (7 sin (27) + 6)Az, over [2, 4] as an integral TL 00 1-1 Provide a, b and…

A: Formula :

Q: Use an Addition or Subtraction Formula to find the exact value of the ex CoS 12

A: we want to find the value  cos7π12

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A:

Q: Find a possible formula for the graph. -8 -7 -6 -5 4 -3-2-1 5678 O g(x) = kx(x + 1)(x– 2) for any…

A:

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A: To find the parametric equation of a line that passes through (-1, 4, -6) and is parallel to given…

Q: 2. * S arctan x dx 1 In(x²) + C C 1. x arctan x C A x arctan x -In(x² + 1) + C -- B 1 D x arctan x…

A: Solve the given integration

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

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Q: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

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Q: VECTOR DIFFERENTIATION: If R = e^(−t) i + ln(t^2+ 1) j - tant k. Find: (a) dR/dt, (b)…

A: R=e-ti+ln(t2+1) j-tant k

Q: Does the sequence {a,} converge or diverge? Explain. Find the limit if the sequence is convergent.…

A: Given problem:-

Q: x4

A:

Q: Given f(x) = 1 –(5+ 10x) + (5 + 10x)² – 27 (5 + 10x)³ then f'(x) =, %3D - (5 + 10z) – ( 5 +…

A: f(x)=1-32(5+10x)+94(5+10x)2-278(5+10x)3 Then f'(x)=0-(32×10)+(94×2×5+10x×10)-(278×3×(5+10x)2×10)…

Q: arccos(cos)

A:

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: b/ Find the solution to the homogeneous differential equation below dy x²+y² dx 2ху

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Identify the range of arctan(x) so that the relation is a function. O-<y< ! - I <y< I 0<y< 7I

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Q: f(x + Ax) - f(x) Find lim Ax - 0 Ax f(x) = 3x2 - 9x Step 1 Find f(x + Ax) by substituting x + Ax in…

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Q: 1. 9. 2

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Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation and use…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Q10.. Solve (1+ x²) + y = tan-'x. dx

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Q: dz If z = 4xy, x = 2t, y = 1- t then at dt t = 3 is: Select one: O None of them O -38 O -37 -39 O…

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Q: 5. (xe*dx (1+x)2

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Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

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Q: Find dy for the following expressions: dx а) y = x5 In(3x) b) у %3D 2 cos + 2x3 3x2 + 7x + cos (x) y…

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Q: 1 1 dx

A:

Q: Solve through Bernoulli's Equation: * - y = xy O y-l +x – 1 = ce¯* O y + x – 1 = ce"

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P &amp; Q is the function of x.…

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Q: Consider the function f defined on the domain -0.5 s x s 0.5 with f(0) = 1, and 0.5 lim h 0 f(x+h)-…

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Q: Solve 6 - log, (3x - 2) = 4 for X %3D

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Q: If 0<c<d​, then find the value of b​ (in terms of c and​ d) for which ∫cd(x+b)dx=0.

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Q: A number is one more than thrice the other number. What is the minimum product of the two numbers?…

A: Given query is to find the product of the numbers.

Q: where does this concave up and down?

A: A graph is concave up if f''x&gt;0 and concave down if f''x&lt;0. When f''x&gt;0, it means…

Q: Find an explicit solution of the given initial-value problem. () - 1 dx 3(x2 + 1), dt X =

A: Given query is to find the solution of the differential equation.

Q: sin 2x dx Evaluate the definite integral: COS X

A: