5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

Q: 10) y7 exbx

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

A: Solution: The objective is to find the derivative of the given function

Q: Q6. Let w = f(r,0), r = √x' + y³, 0 = tan'(y/x), ), find aw ?х > and ди ду in terms of r and 0.

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Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve y…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

Q: xy³ Q3: Let f(x,y)=2x² + y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every…

A:

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: Option (i)

Q: Determine the magnitude of the vector difference V-V₂-V₁ and the angle 8, which V' makes with the…

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Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

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Q: +00 0 x (x²+4)3/2 dx

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Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: 1) Let I be a proper ideal of commutative ring R with identity. Then I is a ............. if and…

Q: please do the second (b)

A: Let's find volume when rotated about y axis.

Q: VSDE of tan xdx + y * cos^2 ((x) * dy) = 0

A: (Sinx/cosx)dx+ycos²xdy=0 (Sinx/cosx)dx=-ycos²xdy (Sinx/cos³x)dx=-ydy tanx sec²xdx+ydy=0 Integrate…

Q: Example 1: Evaluate the integral: ₁²²=238+1² 2r-3 - 3x + 1 dx.

A: The given integral is (2x-3) /sqrt(x2-3x+1), limit from 3 to 5.

Q: 4. Evaluate the double integral: Y SZ (Hint: Change the order of integration to dy dx.) dx dy. +1…

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Q: aluate the line integral y dx + xy dy where C is the rectangle with vert 0), (5, 4), and (0,4).

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Q: Which integral represents the area of R? Choose 1 answer: 3π A 16³ (²1 + 2 cos² (0) + 2 cos¹ (0)) de…

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Q: Differentiate the function. f(x) = x²(x + 8) f'(x) = x³ (x + 8) 3 X

A: In this question, we need to find the derivative of the given function.

Q: (2) Z/(5) =....... (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find the operation

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: 6 By Separation of variables, Solve the following 5 PDES :- ²4. ²4 0 o 2 dt² dx² u(e,t) = u(5,t) =6…

A: Given

Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

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Q: و و ۹۷۶) (0) لا او A 2 1 - X Jx (x+2 - 4

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: 2. Solve each of the following integrals using integration by part: a) √3x² In 2x dx b) 5x sin 3x dx

A: Integration is evaluated.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: x² 1) Let f(x) (Figure 24). Verify the following: x 1 (a) f(0) is a local max and ƒ(2) a local min.…

A: Question a,b , c are solved. Solving more than 3 sub part are against the policy of bartleby.

Q: Evaluate √x/2 6sinx(cosx+1) do

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Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

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Q: +∞ (x²+4)3/2 dx

A: To find: Integration

Q: 6. 8 2 2 dv 2 v - v V

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Q: CSC X csc x - sin x - dx

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Q: xy³ Q3: Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point…

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Q: let f(x)=x +9x-1 if (f o g)(x)=x+9√x-1. find g(x)

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Q: dy Write down a differential equation of the form dt 13 solutions all approach y = as t→∞. 14 y' = =…

A: The general form of the differential equation is  dydt=ay+b

Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

A: This question is about finding domain & range of a logarithm function.  Which we can find as

Q: 7) y = exz 8) y = 3 x ²

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Q: The value of A.cos(x²+)+C cos (x² + + C fx sin (x²+3) de dx B. - cos (x² + 5) + C D. -cos (x²+)+C

A: Option (B)

Q: 2. Solve each of the following integrals using integration by part: a) [3x² In 2x dx b) 5x sin 3x dx

A:

Q: need

A: We will solve the problem.

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: (1) we have to fill in the blanks Let I be a proper ideal of the commutative ring r with identity.…

Q: 5) y = tanx secx 6) Y = b x+1

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Q: Find the volume of the region bounded above by the elliptical paraboloid z=8-3x²-4y² and below by…

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Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

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Q: Consider the differential equation y" - y' + 3y = f(t), such that y(0)=0 and y' (0) = -9 f(t) is…

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Q: Does the following series converge or diverge? 4√√n Σ 3/2 10n +7n+7 n=1 O The series diverges. The…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x2 and the…

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Q: Function h is graphed. ← -4 -3 -2 -1 Find ["h(2) dz. [²h(z) dz = [ Y 4 3- 2+ 1 -1 -2- -3- -4 h 1 2 3…

A: The given graph is:

Q: 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j+7k. 3.…

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Q: 2. The Substitution Method states that A. If F'(x) = f(x), then [ f(u(x))u' (x) dx = F(u(x)) + C B.…

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Q: Evaluate: ³²₁ [2³(x + y)³] dz dy dx

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Q: 2. The function below, and its graph, gives the rainfall in mm/day that falls in the month of May,…

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