Write the quotient in standard form. 17 1 - i

Q: The plane N contain the points P(1,–4, –5) and Q(2, 1, –3). Moreover, it contains the line 1 3 -x =…

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Q: 2. Use integration by parts to evaluate the following. (a) Sxtan-1x dx

A: ∫x tan-1x dxusing integration by parts∫u.v = u∫v - ∫u'∫vu =tan-1x , v= x∫tan-1x . x dx=tan-1x∫x dx -…

Q: f(x) = 2"[In(cot(x³))]5

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Q: A. LIMITS Limr - 25 1.) lim VE – 2 2.):-4t-4 x-5 x-5

A: Here we have to find the limits.

Q: Solve for the third degree Maclaurin polynomial of f(x) = tan(3x). Use this to estimate the value of…

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Q: To test the series - 4n e for convergence, you can use the Integral Test. (This is also a geometric…

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Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. f(t) = t? cos 2t.…

A: Answer is in below steps.

Q: sin x Let g(x) = . 1 Find the derivative a'(x). dt . 2 1+t3 cos? x 1+ sin x sin x 1+ cos³x cos X 1+…

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Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: 1-5 by Partial funtron x-16

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Q: Find the derivatives of the given functions. a. y = [ Arc sec(tan x)|· e »<2x

A: use logarithmic function to evaluate the derivative.

Q: derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the…

A: We can solve this as follows:

Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. 1…

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Q: Which of the following vectors are not linearly independent? 日L O B O A

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Q: ine whether the following series 3- Vn

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Q: 1. The derivative of the sum or difference of two differentiable functions is to the sum or…

A: The solution is given in the next step.

Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin (-0) +1…

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Q: 1 In solving the antiderivative of f(x) = 2- 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx To find: ∫f(x)dx We know that, sinx = 2tanx21+tan2x2

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

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Q: Determine C, and C, so that y(x) = C¸ e²* + C2e* + 2sinx will satisfy the conditions y(0) = and…

A: Put x=0 in y(x).

Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

Q: A true statement for the function f(x)=2x³-3x²+10 is.... Pernyataan yang benar dibawah ini untuk…

A: The given function is: f(x)=2x3-3x2+10 Now, f'(x)=2(3x2)-3(2x)=6x2-6x=6x(x-1)

Q: O Fnd the pemainders when @ x³ - 2xx +5x +8 is divided by x-2, (b) x+ x -9 s OC +1 dwided by is…

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Q: Determine whether the series is convergent or divergent. (-1)"3"² En=1 2 -1

A: An absolutely convergent series is convergent. P-Test: The series ∑n=1∞1np converges if p&gt;1 and…

Q: eries 1)" 2 + 5 rmine if the resulting series of constant terms wh ely convergent, conditionally…

A: We have to find the following conditions according to the given information

Q: Q3) Evaluate triple integral * dz dx dy. リェーy

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Q: Find the sum of the convergent series tan - ( m til tan M=1

A: This is a telescoping series.  Whose sum is  2/π

Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: +oo (-1)"n" sin" () ' Σ 2n n=1

A: According to question,Given series,∑n=1+∞-1nnnsinn1n2n

Q: ( sec' 0 tanede

A: Follow the procedure given below.

Q: Given that h(x) sin(2x + 1), determine functions f(x) and g(x) such that h(x) = f(g(x))

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Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Find plane area inside the polar function r = 2 and outside the polar function r = sin -0)+1 in…

A: The area inside a polar curve ro=g(θ) and outside the polar curve ri=f(θ) is given by…

Q: LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4Dª – 45D² – 70D – 24)y = 0

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Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Evaluate the Inverse Laplace Transform of the given functions. 4 1. F(s) 3s2+1

A: According to company rules, I need to solve first question.. Please repost second question

Q: 5. What is the derivative of 2x*? A. 8x3 В. 2 С. х D. 0 6. Consider the function f(x)=|x-21 at x-2…

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: Vx² – 4 dx

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Q: 1 Given the function g(a, b) = suppose m g(a, b) where a²b+b а 3 са b = c3 + 6d am The task is to…

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Q: d -sin 6 if0 is given as dx What modifications would have to be made to find the derivative an angle…

A: We have to find derivative of given function.

Q: +o0 (-1)*n" sin" () Σ 2n n=1

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Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x +3cos(2at). 32 dr…

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Q: Q3) Evaluate triple integral N S dz dx dy . x-y

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Q: Find the particular solution of: ydx – 4dy = x²dy when x = 4 and y = 1 |

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Q: Show that the lines L1 : x = 4 – t, y = 2t, z = :5+t and L2 : x = 1 + 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: Evaluate the integral. (Use C for the constant of integration.) cos a da sin a

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