Use inversion order to the ff integral, the limits of the innermost integral must be a. √x to x b. X to x² c. 0 to 1 d. x to √x P y2 √1-x²dx dy

Q: 2. Simplify the radical expression: 7 2 -1 156x y z -5 -1 2 √39x y Z

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A: The given sum is ∑i=164i+5

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Q: 52. y' - y = y³

A: We need to solve D.E.

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Q: 1. S(√t -√² + ³√³) dt

A: Solution:- Step:1                    1.         ∫(t -t23+t35 ) dt

Q: 3. Which of the following is TRUE about the parabola for the function f(x) = 2(x + 3)² + 6 a) the…

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Q: √x√x-2 dx

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Q: 3 Compute the rotated area bounded by x = y, x = 8 and x-axis about y-axis

A: Please note that as mentioned only the last question is solved.

Q: (0.0) (3.6) 1) Estimate the area (6.0) (8,0) [ f(x)dx 0

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Q: Evaluate the following integral using integration by parts. Sxe ³x d dx Use the integration by parts…

A: We have given to find integral  ∫xe3x dx Let,  I=∫x e3x dx Using integration by parts ∫u dv=uv-∫v du…

Q: 4 [Lnce) - Lnce") dx

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Q: + 22/12 =)₁ y x² + y² dx + (ye³ +2²4₁²) dy = 0 =)

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Q: solve xy' - y = xkyn, 1) y¹ – O a. (k+n O b. (k+n O c. (k+n O d. (k+n - - n 1) x¹ - n - 1) x¹ − n 1)…

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Q: Find f(x) if y = f(x) satisfies dy dx 80yx⁹ and the y-intercept of the curve y = f(x) is 6. f(x) =

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Q: J 1 cot³ x O 3 2 dx = In | sec² x − 1| + C --- O 1 tan² x + ln | sec x + C 4 O 1 2 O 1 2 1…

A: I have stated the used formulas in the solution

Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: C. Domain Range D. Domain Range

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Q: 1) Think of a multivariable function that might model something in your own work, hobbies, family,…

A: Consider the temperature in a room, T=Tx,y,z which depends on the position of the point in a room,…

Q: Evaluate the integral by changing to Spherical Coordinates. √16-3² [√/32-32-42 xy dz dy dx

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: annat pe 4 panda 40 god = mode O xp (9 − xx + ₂x) J rester auf dienser og ressatur aut to conflittop…

A: ∫24x2+3x-6dx=∫24x2dx+3∫24xdx-6∫24dx

Q: A. x(1 + y²) ź dx = y(1 + x²) z dy dy B. = x + y dx C. dx E. F. Which of the following are separable…

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Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: 225 ft ☐☐ X A building that is 225 feet tall casts a shadow of various lengths as the day goes by.…

A: Topic- Application of derivatives

Q: 1 a 3 2 1 a 1 To find the blue shaded area above, we would calculate: b Where: f(x)dx = area 1 2 3 4…

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Q: 21. y = sech(√√x)

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Q: The Maclaurin series of g(x) = sin (x) is

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Q: Find the absolute maximum of the function (x,y)= 2. Find the absolute maximum (x,y)=

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Calculate (t) when k(t) = r(t) = (6t¯¹, 1, 6t)

A: r(t)=6t-1, 1, 6t Formula for  curvature κ(t)=r'(t)×r''(t)r'(t)3

Q: Find the area of the region enclosed by y = 3.25x and x = 3 - y². 2 Use horizontal strips to find…

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Q: 5) Evaluate x² +1 4x³ + 12x dx

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Q: The infinite series Στη O series liner O p-series O geometric series O harmonic series n is a

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Q: If fa rsin xd a. -6 b 6312 C. 6 d - 3 2 = -x³ cos x + 3x² sin x + k fx x sin xdx, find k

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin(x) (cos(t²) + t)dt…

A: Given that , hx=∫-1sinxcost2+tdt h'x=?

Q: 6. Which of the following expresses (3√32 + √√8 ) in simplest form ? a) 3√40 b) 6√10 c) 3√2 d) 14√2

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Q: 10 f(x) 10 5 -10 10 X

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Q: Which of the ff is equivalent to the double integral: a. f¹ ln(2x) − In(x + 3) dx b. ln(x + y) -…

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Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: Find the indefinite integral and check the result by differentiation. COS X 1 - cos²x dx

A: Recall; sin2x+cos2x=1

Q: Find an algebraic expression equivalent to the given expression. Hint: form a right triangle. cos (2…

A: Topic- inverse trigonometric functions

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 9…

A: Use formula of area of surface generated about y axis

Q: с хр. I + X (1+x) ''војо

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