0 x(t) 2π/3 1 h(t) t

Q: ху (x, y)→(0, 0) x² + y² 16. Determine whether lim exists.

A:

Q: Find if the series converges or diverges.

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Q: Find the derivative r '(t) of the vector function r(t). r(t) = e¹¹i-j+ln (1 + 5t) k

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Q: 2 X 2 X 0+ - 4 +4 dx =

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A:

Q: 3. Recall that a rational number r EQ is a number of the form r = where a, b & Z, b +0. Decide…

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A:

Q: 5 Let f(x) = 4 + 12 cos(7x) and g(x) = 6+3x a. Find the composite function f(g(x)) and give its…

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Q: Test for convergence or divergence with the Direct Comparison Test.

A: See the answer given below Explanation:

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A: Note:-Since you asked multiple questions which are not interlinked, according to our policy we can…

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A: given

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Q: 1. Fix 1 2+1 defined for every z different from -1. Take a * -1, and compute f(x) - f(a) HIG f(x) =…

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Q: Evaluate the integral I. I= = [ ³ (6 (sin (t)) ³ cos (t) i +6 sin (t) (cos (t))³ j + 6 sin (t) cos…

A:

Q: 3 x-2x-4 limx→2 2x³+3x²-4

A:

Q: 3) What does the matrix 1 0 0 0 1 0 001 represent?

A: The matrix represents the identity matrix of size 3x3.Explanation:In the given, the matrix…

Q: 2. (a) (b) Consider f(x) = 10 (x − 1)(x² + 9) Decompose f(x) = = dx. 10 (x − 1)(x² +9) more space,…

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Q: For y = f(x) = 4x, find Ax, Ay, and Ay Ax' given x₁ = 3 and x₂ = 5.

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Q: 1) Evaluate g = Af, where A and f are given below: (a) (b) (c) (d) A SQRT d³ dr³ + x³ dx 8² 8² +…

A: The step-by-step answer is given below please check.Explanation:Step 1:a) Step 2:b) Step 3:4)…

Q: Given 9t² - 38t - 20 t³ - 10t² Evaluate 4 9t² - 38t - 20 - J t³ 10t² the constant of…

A:

Q: 2. The set of complex numbers can be defined as the set C = {a + bi | a, b = R, i²=-1}. For any…

A: Using the given definitions, we derive the proofs in parts a.), b.) and c.)

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Q: Find dy. y=x² (13 - 1 1) 8 dy = (Simplify your answer.)

A:

Q: 3 attempts left Check my work 3 Numerically estimate the derivative of f(x)=x² √√x +4 at x = 4.…

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A:

Q: Find the solution of with y(0) = 1 and y' (0) = 4. y(t)= 7e^t+(-43e^t-6)/e^(8t) y +16y' + 64y= 567…

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Q: Could you explain how you got 2/5 from -2/5* ln(4) + 3/5*ln(4)? Whenever I add just the fractions on…

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A:

Q: lim x-0 1 - cos x sin x

A:

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A:

Q: 0 = * 0 Consider the angle shown above measured (in radians) counterclockwise from an initial ray…

A:

Q: Determine the convergence or divergence of the series.

A: The answer is given below.Explanation: