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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x²…

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Q: Evaluate each of the following definite integrals 2 sin x 4 – dx V1 + x2

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

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Here we will find all the quantities one by one,

Q: Solve the initial value problems: y^ prime =6+5y+y^ 2 ; y(0) = 0

A: We need to solve D.E.

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A: We have to solve above question

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +9 1 lim tto 9t2 + 10' 7t |(?,?)

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Q: 1+9n² - b) Determine whether the sequence a, =. converges or diverges. If it converges, 1+n find the…

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Q: y'= x(5-x)² when: Theni I y=0 y=0 x: 0 (0,0) Use vertical element metho d: y x(5-x)*

A: Given question is solved with explanation.

Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x-1½ B. –0.5x-1Vx-1 C. –0.5 1…

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Q: 01r (a)lev 7) Find the area of the region bounded by the curves y= x² and y = x+ 2. Sketch the area,…

A: In this question we have to find the area of region bounded by the curve and line.

Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: A small business's cost to produce I units of a new product is given by C(x) = -0.001x+ 4x +506…

A: Solve the following

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Q: 8. 1 +3 + 3² + . + 3"-1 = (3" - 1) (3"- 1) ...

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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

Q: What is the number halfway between 3 - 1/3 and 2 + 5/7 ?

A: Average

Q: 2 у2 | dxdy 1 у 2.

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Q: [3 – 5i 2+41. L6 + 7i 1+8i! find the conjugate of its transpose. Given A =

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Solve the initial value problem (b) y^ prime +2xy+xy^ 4 =0 ; y(0) = 1

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: Determine the integral of sec^4 (x) tan^2 (x) dx * O 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan^3 (x)…

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Q: 9. Use the graph of y = f (x) to answer parts (a) – (f). Where applicable, use interval notation. -2…

A: Solution is given below:

Q: -1 Solve (1 1 using the inverse of a matrix. 1 6.

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Q: 10 – Vx dx V2x2

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Q: Solve for the Maclaurin series. You can write the first 5 terms or express in summation notation…

A: Maclaurin series is expansion of function at x= 0.

Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that g: D→R is a function…

A: Given

Q: Find the volume of solid generated by revolving the region bounded by the curve y=4/x' and the lines…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: The exact area of the region enclosed by f(x) = -(x+ 2)(x-2) and g(x) = (r+ 2)(x- 2) is given by…

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Q: Sorry im running out of questions

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Q: Let T: R - R be a linear transformation such that T(1, 1, 1) = (4, 0, -1), T(0, -1, 2) = (-5, 4,…

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Q: Ex: Show that if v, u, w are any vectors, then (H.W.) ux (v x w) + v x (w x u) +w x (u x v) = 0.

A: Dot Product Property :- a.b = b.a = a*b*cosθ

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A: Given t is the time in seconds, Let d be the directed distance from the hive in meters. According to…

Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯²(xi+ yj), and C : r(t) = e' sin ti+ e cos…

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Q: 4. S(e* + vx – x* + 2)dx = %D

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Q: * Your answer is incorrect. Use Green's Theorem to find the work done by the force field F(x, y) =…

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Q: Find the equation of the tangent line of y = 6e* at xo = 0. (Use symbolic notation and fractions…

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Q: Calgary Board of Education CBe-Learn . Find the intervals where the curve is concave up or concave…

A: Solve the following

Q: Differentiability of f(r, y) at point (a, b) Let f: R R be a function given by if (r. y) (0.0). f(r,…

A: Given

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = ln 2. B. If In x = 2…

A: Find your answer below

Q: Find the derivative of y(x) = In (8(In(x))'). (Use symbolic notation and fractions where needed.) dy…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(7, 2, 5) (a) Find a nonzero vector orthogonal…

A: calculation of above requirement are as follows

Q: Evaluate (2x - y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 5

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