mplify using Set lIdentities. Indicate the rule applied for each step. (An B)U (CnA)nB Statement Rule/s Applied

Q: I. Evaluate the following integrals. cln 2 e2" sec-'(e*)dx Jo #3.

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Q: x3 + 4x2 - 2 dx Ix? (x² + 2x + 2)

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Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

Q: Using Lagrange multipliers, find three positive numbers whose sum is 6 and such that the sum of…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as…

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Q: (4, 16) 10 Find the area of the region bounded by the graphs of y = 4x y = x2 and y = 4x. y = x2…

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Q: +o0 In(tan -1 x) dx 1+x2 1

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Q: There are true statements of f(x) = 5(x4 – 4x³) , except ... Pernyataan yang salah mengenai kurva…

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Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Write the partial fraction decomposition of the rational expression. Check your result…

A: For the repeated roots;the fractional decomposition can be writtenas:3x(x-3)2=A(x-3)+B(x-3)2A(x-3)+B…

Q: S (2x² + 3)dx S(5 +) dx 4.) 5.)

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Q: rsincr3) drdo

A: To evaluate ∫0π3∫θπ3r sin(r3) dr dθ So, the region of integration is bounded by r=θ, r=π 3& θ=0,…

Q: The task is to determine and sketch the domain of the function In (b – a? + 4) g(a, b) = V36 — 4а2 —…

A: We have to determine and sketch the domain of the function.

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

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Q: п(х-2)" Consider the power series 3" (2п-1)3 n=1 Show that the power series converges when x = 5.…

A: the given series is n(x-2)n/[3n(2n-1)3].

Q: Determine whether it is True or False does not converge (a) If an 20 for all n eN, then…

A: Comparison test: Let ∑n=1∞an  and ∑n=1∞bn be two series such that an≤bn ∀n∈N If ∑n=1∞an divergent…

Q: I. Evaluate the following integrals. 1 1. d.x " J r(9 – In² r}5/2"

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Q: Given cos(x) = (-1)" n=0 (2n)! -x2n for all x ER, Express the integral cos x dx as a power series.

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Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

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Q: log3 r + [Arcsin(5x)]³ 3

A: To find the derivative of given function.

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

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Q: Find the solution of the corresponding inhomogeneous system of equations: z+y+ 2z = 8 z+ 2y + 2z 2z…

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Q: Which integral that cannot be solved by the substitution method? Integral mana yang tidak dapat…

A: Which of the integral is not solved by substitution.

Q: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

Q: The value of dy/dx for implicit function xy – x + y - 2 = 0 at point x = 1 is ... Nilai dy/dx untuk…

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Q: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: Using homogenous differential equation determine the particular solution of

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Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

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Q: xsin(x³) dxdy

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: What is the general solution of the system x − 2y + z = 3 2x − 3y + z = 8   Multiple choice…

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Q: Evaluate

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Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

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Q: The thickness of the shell is a = 0.5 centimeter. Use differéntials to approximate the volume of the…

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Q: . Use the second-derivative test for local extrema (: extrema for the function. Identify whether the…

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Q: etermine if the given is convergent c sin(2 tan-1n – T) Σ (2 tan-1n – Tt) n=1

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Q: Write the quotient in standard form. 17 1 - i

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Q: sin (t) -dt 3 (4+ cos (t))?

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Q: Find the area of the triangle with vertices P(1,3, –5), Q(0, 0, 0) and R(2,4,1). NOTE: Enter the…

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Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) -

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Q: (-1)" V2n² + 5 Given: power series > (x+ 1)" n=1 i. Determine if the resulting series of constant…

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Q: Find f(100)(x) if f(r) = (x + 2)100. a. 0 c. 100! = 100 x 99 x 98 x 97 x ... x 2 x 1 b. 100 d.…

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Q: Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

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Q: Evaluate the integral 2x 4)

A: ∫1e2x-452dx=∫1ex2-452dxSubstitute…

Q: Using exact differential equation, determine the solution of

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Q: Determine whether the following series is conve rgent or divergent. (1.) 37 (use Integral Test.)…

A: Let's find.

Q: y = [Arcsec(tan r)]ecsc 2r SC

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