2 3 4 5 1'2' 4'8'

Q: 10. [ tan 0 de 12.f cos do 3

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Q: 1 Given the function g(a, b) = g(a, b) where suppose m %3D a²b+b a = cd b = c3 + 6d %3| дт The task…

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Q: Answer: dy = 3yCx'ty)

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Q: +0 (-1)"n" sin' Σ n 2n n=1

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Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: Integral

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Q: In Sx-/25+> 25+ x2 dx , we let x = 5sine. (A True B False

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Q: Find all the critical points of f(2z, v) = - . 1 + 4x – xy? and classify them using the second…

A: The given function is;  f(x)=-x3/3 +4x -xy2.

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y2 ,x = 4.

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Q: 1. Evaluatef(3x + 2)dx A. 3x2+2x + C B. 2x + 2x +C c. 2+2x + C D. x² + 2x + C

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: f .5 p(t)dt = 24 3 and .5 | p(t)dt = 9.6 vhat does the following integral equal? p(t)dt = 3

A: Us definite integration property

Q: Find the directional derivative. g(s,t) = s√t , (2,4), v = 3i - j

A: Given:         g(s,t) = s√t ,         Point: (2,4)         v = 3i - j

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: 6a2 + 23x – 9 The antiderivative of f (a) = is F (x) = a ln (læ + 3|) + bln (Jæ) + dln (r- 1) +Cthen…

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Q: From Rogawski ET 2e section 10.3, exercise 3. Use the Integral Test to determine whether the…

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Q: 1Evaluate the ff. integrals using either integration by pants, trigonometric integrals , trig on o…

A: As per guidelines of bartleby, we are instructed to solve only first 3 subparts of a problem.

Q: The graph of the function fis given. y 32 24 y fx) 16 8. 8. 16 24 32 40 48 (a) Use six rectangles to…

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Q: 2 Vy x+j Q3) Evaluate triple integral S dz dx dy х-у

A: We can solve this as follows:

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

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Q: +o0 (-1)*n" sin" () Σ 2n n=1

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

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Q: dx e2x – 3e* 1.

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Q: f(x,y) = 5 + Vx – y² +4

A: To determine theb domain and range of the following function.fx, y=5+x-y2+4

Q: 10. Calculate the area of the shaded region bounded by the curves y = 1+4cos'x and y=-sinx, as…

A: From the given figure to find the area enclosed by the given region is bounded by the above from…

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

A: Let's find.

Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

Q: Solve for the general solution of the following differential equation and determine whether it is…

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Q: If a function f(x) satisfies the inequality 5 cos(2x) < f(x) < 8x2 + 5, what is the value of lim,0…

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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&amp; θ=0,…

Q: Verify that the function c(x + y) = xe the differential equation (x? +y dx +(x² – xy dy = 0 . e% is…

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Q: (x – y)dx + xdy = 0. (x – 2y)dr + xdy = 0. (x² – y?)dx + 2xrydy = 0.

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Q: 11. Find dy/dx of In(x² + y²) + 2 arctan

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

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Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: Using exact differential equation, determine the solution of: dy y-- 2x = 3y2 – 2 when y = 1 and x =…

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Q: Using exact differential equation, determine the solution of: dy y dx 2x %3 Зу? — 2 when y 1 and x =…

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Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

Q: 2x2 +S

A: We have to check whether the given integral is divergent or convergent.

Q: For the sequence defined by: a1 = 3 1 - 3 An аn +1 Find: a2 аз = II II

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Q: given series is convergent 2"

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Q: [ sec" x (Vtan' x+ 1) +1) dx 2. 4 sec'x 3

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Q: Find the sum of the following convergent series: itan-(2n – 1) – tan-(2n + 3)]. n=0

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Q: an = In(n+1) – In(n) for n E N determine if the following is convergent or diverge An

A: limn→∞an=limn→∞ ln(n+1)-ln(n)=limn→∞ lnn+1n=limn→∞ lnn(1+1n)n

Q: а a а а а а а а 00 a a 0 0 a a a 0 00 0 а

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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: Find the particular antiderivative of the derivative f'(x) = 3 -+x that satisfies the condition f…

A: Follow the procedure given below.

Q: +oo (2x – 1)" V4n + 1 Consider the power series n=0 a. Show that the series is conditionally…

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Q: an = In(n+1) – In(n) for n EN determine if the following is convergent or divergent { an } n=1

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Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Change of order.

Q: y In x – x In y = 4, y' y In (x² + y² )= 2 arctan 2) = 2 arctan y'

A: This question can be solved using the concept of differentiation of implicit function.