12.) S³ S² (3x - 2y ¹) dy dx

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A: fx=x2 over the interval 0,2 for n=4

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A: 6. The given power series     ∑n=0∞12nx-2n

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A: Given that,uc=c1-ρ1-ρρ≠1ln cρ=1

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A: equation of a tangent line

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Q: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

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A: Given :f(x)=cosxx1=1.6

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A: This question is related to integration, we will solve it using given information.

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A: Here we have to find the vertex and focus of parabola.

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A: We have to find out r vector

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A: This question can be solved using the concept of component form of vectors.

Q: Using the Limit Laws, find limt→0 t2+9−3t2. Do not use L'Hospital's Rule.

A: By using the Limit Laws, to find limt→0 t2+9-3t2.

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A: answer is in next step.

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A: Given :∫∫Rsinx2+y2dAR :Radius of unit circle is 3 and 4

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A: Here we will find dz/dt,

Q: : Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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A: To find the value of a and b.

Q: What is the area under the graph of y = 2 54-3-2-1 O O N/W 13 2 15 2 ਜਾਨ , -2+ -3 4 1 2 3 4 5 X on…

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Q: if a = 7 and b=4, whats the value of f'(7)? 8|77|80 IN TA O a) Ob) Oc) =/ a) 1/2

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Q: Question 9 Given f(x, y, z) = zey 0 0 01- 02-/ O 2e² - 3 Onone of the choices - X sin (#), what is…

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Q: I. Integration by Parts. Evaluate the following integrals. 2. [ 2² si r² sin¹rdr

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A: Given that,

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Q: Given the functions: f(x) = 7x g(x) = x+2/ h(x) Evaluate the function (g-h)(-4) for the given value…

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A: Note: The first question that is question 90 seems incomplete. So, solving 95 for you.

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Q: 4. Find the area of the region bounded by y=6-2-2² and the z-axis. 125 (a) A= square units 6 (b) A =…

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Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: A 30 6 12 ♡ E C D F Find the area of Square ABCD

A: