coso de by trigonometric substitution.

Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 81 – x…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) (x² + lim x + 5…

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A: A detailed solution is given below.

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Q: Find the particular solution determined by the given condition. F(x) = 3x2 - 2x; f(O) = 9 %3D %3D O…

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

Q: Evaluate the iterated integral. 7 8 6 | // * +v° + 2²) dx dy dz -6 0 0 / /(x² + x² + z²)dx dy dz i…

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Q: Determine if the function is a solution to the given differential equation. y = x In x + 6x + 5; y"…

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Q: Evaluate the double integral.

A: Given

Q: Evaluate the sum using the given information. X1 = - 3, X2 = - 1, and x3 = 2 Xj - 5 Σ 2x; + 4 3 j= 1…

A: Solution is given below:

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Q: Find ify= xln(4x +1)

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Q: If y= In Cschx + coth y Biod dy

A: Given: y=lncschx+cothx

Q: 6. lim (sinx)*

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Q: Question 27 The position vector of a particle is r(t). Find the requested vector. The velocity at t…

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Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B=26°. (The figure is not…

A: Sine Laws : asin A=bsin B=csin C

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Q: The point P(4, 24) lies on the curve y = z + x +4. If Q is the point (x, x² + x + 4), find the slope…

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Q: 2) Evaluate the integral S inx dr 2.

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Q: lim In(z – 1) – In(x“ – 1) = %3D

A: Given

Q: Find the volume of the ellipsoidal solid given by 4x² +4y² +z? = 16

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Q: 4 4 4 + + 9. 27 3 +

A: Given problem:- (4/3) +(4/9) +(4/27) + ........  Determine whether given  geometric series…

Q: a(2))® dz: Consider the indefinite integral This can be transformed into a basic integral by letting…

A: Consider the indefinite integral

Q: Question 1 Give an integer a E Z which makes the following equality true for y = a". 7 log.ry (y) 8…

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Q: 5 3. (1 – x²)ždx

A: To evaluate: I=∫01(1-x2)52dx

Q: + 3x° +3x*.

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Q: Verity Gauss' theorem for the vector feld f (x,y, z)= (y,x,2) on the surface of the sechere with…

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Q: Consider the integral cot(0) · In(6 sin(@)) d0: This can be transformed into a basic integral by…

A: We have to find the integral.

Q: 1 +1 dz 7. Ji Vz -1

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Q: 3. Find the equation of the plane tangent to xyz + x² – 2y² +z' =14 at (5,–2,3)

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: This question can be solved using the concept of area under curve.

Q: Question 14 Find the volume of the indicated region by an iterated integration. The region that lies…

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Q: itいて)ttいz (Stu) ८(S+4च) uft-)$+ no C2n7s)22n?1 znt1)! u(tー) tつa 2nts iuZetuてと(ttat) て tuて ttuて ut-)…

A: maclaurin series

Q: am confused can you highlight answers please thank u

A: From the original solution the answers are: Intercept: 0, 0 Relative minimum: -5, -110 Relative…

Q: dy_ y -1 dx

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Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: tó úsé co ór -0o, enter INFINITY or -INFINITY, respectively.) (-1)" + 1n! 1. 8. 15 ... (7n + 1) n =…

A: Solve the following

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Q: Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y =…

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Q: 23. sin 20 cos 20 dên

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Q: Solve the differential equation. f'(x) = 10x – 12.3 f(3) = 2 -

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

Q: Find the volume V generated by rotated the region 30) Figure 1 for Problem 30 Figure 2 for Pro fuに…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate F• dr. F(x, у) — хі + уј = xi + yj C: r(t) = (7t + 9)i + tj, 0stsi

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Q: 19 Suppose that Ts (x) centered at 2 for f(x) is gien by. Is (X=3+5Cx-2)+8(x-2)²+2G-2)°+(x-2) (3)…

A: T5(x) centered at 2 for f(x) is given by,T5(x)=3+5(x-2)+8(x-2)2+2(x-2)3+(x-2)5

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

A: Given problem:-

Q: Solve the problem. Solve the differential equation model of a population growth: dP 0.5P. dt O P(t)…

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal place…

A: Here, let the given function be: f(x)=x2+ex-9⇒f'(x)=2x+ex Next,…