solution to evaluate 3 2+1 y-1 ГГГ x + y2 dx dy dz ? Z 3 4 Ⓒ √ ²² - ² - ² + + 2+1 A 6 2 2 В 3 o fl с 1 D 3 ГГ 1 Z F 1 © оf E 1 3 z+1 y2- 2y + 1 2 2 + 1 3 2+1 2 X PLE+ 2 3 © o ff G 1 X (y-1) 2 2 2 2 2 +1 none of these у 3 3 (y-1) 2 -dy dz - 1 2 +y3 - y2 dy dz + y2(y - 1) dy dz dz 2 + 1 dz +y2 dy dz

Q: • [ε (a) Evaluate S (b) Evaluate 3.re dr. r² sin z dr.

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Q: Sin 0=4/5 Find a g 1/5 where 40 < x 180

A: sinθ=45⇒θ=arcsin45+2πn, θ=π-arcsin45+2πn⇒θ=53.13∘ +360∘ n, θ=126.87∘ +360∘ n

Q: 3t² + t 3 t→→∞ t³ - 4t + 1 11. lim r - p³ r→∞ 2 - r² + 3r³ 13. lim

A: see below the answer and explanation

Q: Find f′(x) and simplify.   ​f(x)=1/(x+35)  f'(x)= .....?

A: Differentiate wrt x

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Q: Is the integral -- 1 XT dx convergent or divergent?

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A: Given query is to find equation of the tangent.

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A: Given; bn=ln(1+2en)/n

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A: We need to find Linear approximation.

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A: We need to model trigo. function.

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Q: Find the interval of convergence for ΣΗ

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Q: a. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

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Q: COMPLETE STEPS AND SOLUTION [NO SHORTCUTS], SIMPLIFY IF POSSIBLE 3. Find the differential equation…

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Q: Problem 5. they all start at n = 1. (a) an = (b) bn = 3n 1 + 2n (−1)n-1 5n List the first six terms…

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Q: T (a) F(t)=(cost+tsint)i + (sint-t cost)j for 0≤t≤2

A: As per the guidelines I can solve only first question

Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

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A: The given function fx,y=5xx+y2 We have to find the first order partial derivatives.

Q: Suppose Find the value of f(ln 11). f(ln 11). d da -f(x)=e³a, f(0) = 6.

A: Integrate the given differential equation and then go ahead.

Q: S x² √16x² dx

A: The objective of the question is evaluate the indefinite integral.

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

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A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

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A: The given series ∑n=0∞-1n62n+12n+1! We have to find the convergence of the series using the ratio…

Q: its radical so how do u do 409 racial 3

A: To explain how the radical is simplified.

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: Solve for Higher Order L.D.E

A: To solve the given higher order differential equation

Q: Solve: dy/dx = −(y − 27) ^2/3 , with y(0) = 91. Express your answer as y=f(x).

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Q: Find x. Round your answer to the nearest tenth of a degree. 15 x 12

A: As we know from the trigonometric ratios:…

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Q: (c) Find the value of √a²-x² [₁ 2(x + y) x² + y² giving your answer in terms of a. 1+ -dx dy,

A: The given integral is:∫0a2-x2∫-aa 1+2(x+y)x2+y2 dx dy

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. = $₁²04²…

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Q: 3₂ If t=15157, evalvate if possible Part 1. Sin t 13 له b) none - 이글 e) 9 + ا (a C) - 0) ) 6)-1 یہ -…

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A: Given, ∫ex3+e2xdx

Q: A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each…

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Q: Let -3 -3 -1 4 -1 -3 022 Evaluate the determinant of A using the row or column that minimizes the…

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Q: 1. (a) Find ? ; (u²quv). ди

A: To find the partial derivative with respect to u

Q: Use l'Hopital's Rule to evaluate the limit. x³-8x2.7 x-1 O 16 O 11 O-13 O 19

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Q: 2) Evaluate the definite integral cos a dx. Round your answer to 4 decimal places.

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Q: Given f(x, y) = 4e¹² sin(2y) then ▼ f(0, π) =

A: The objective is to find the gradient of the functionat the given point.

Q: Remove arbitrary constant in the given relation. y = C1 + C₂ e -4x

A: The given function, y=c1+c2e-4x We have to eliminate the arbitrary constants.

Q: (c) Let F(x, y, z) = x^3i + y^3j + z^3 k i) ∇ · F (ii) ∇ × F

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Q: 1. (a) (b) (c) (d) Find Maclaurin series for the function e-2x 2² 2³ 1+2x-x + _ 2! 22 2x+x 3! 1-2x²…

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Q: Use polar coordinates to set up and evaluate the double integral f(x, y) = x + y, R: x² + y² ≤ 16, x…

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