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Q: Evaluate the summation i=1 28 10 30

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Q: O Suppose we ALREADY KNOW that this field is conservative in Octant I: F (2,y, 2) = (, In (2) + In…

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Q: 3. The polar equation r = sin(5 0) is a 5-petal rose. 3.1. This closed curve can be drawn without…

A: Given, r= sin(5theta) The graph is given by,

Q: a If f is an odd function, why is f(x) dx = 0? a U A. a Since f is odd, f is symmetric about the…

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Q: Solve the following quadratic inequality: a“ – 6x + 8 <0 Write your answer in interval notation.…

A: First we shall factor and find roots of quadratic equation then figure out intervals in which…

Q: If In a + In(x- 5) = In(2x), then x = Show your work on paper. Use the space below to upload a…

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Q: Su(u² + 3) du

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Q: Find the absolute maximum and minimum values of the following function in the clc f(x.y) = 2x - 4x+y…

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Q: A) lim x→3−    f(x)= B) lim  x→3+    f(x)= C) f(3)= D) Determine whether the function f is…

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Q: Calculate the work done by the force F along the path C. F = -5x i - 3x 4y 2j + (4z - 5y 2) k; the…

A: q1

Q: 21 (e) If(x)| dx (f) f(x) dx 16

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Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We need to find dimension of the garden.

Q: The graph of a function is given. Use the graph to find the indicated limit and function value, or…

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Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

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Q: The series 7 2n E,(-1)" 4 n= is absolutely convergent. Select one: True O False

A: Root Test : Suppose we have series ∑ an .Define,                          L = limn→∞ an1n .Then ,(…

Q: y = et + 5 is a solution to the differential equation: y' = y. Select one: O True O False

A: Given, y'=y ⇒y'-y=0

Q: dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

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Q: The rate of change of the monthly sales of a new video is given by S'(t) = 500tà and S(0) = 0 where…

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Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. 9y-4x…

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Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

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

Q: Test the series for convergence or divergence using the Alternating Series Test. ∞ (−1)n 7n + 1   n…

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Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: Question 23 Find the standard form of the equation of the ellipse satisfying the given conditions.…

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Q: Nathan is required to pay George $9,500 today but he wishes to postpone the payment for 60 days.…

A: Given query is to find the amount to be paid.

Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: degrees

A: We will find the degree of freedom.

Q: b) sin(xy) = sin(x) + sin(y)

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Q: e2 dx 4e2x – 8e* + 5

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Q: a. Sketch the

A: answer is in next step

Q: 4. Evaluate (10** dx. 1000* 10 -10* +C A) +C In10 In10 10 100 B) 10* +C D) 10* +C In1 In10

A: We can find the integration as below.

Q: Consider the parabola given by the equation: f(x) = 4x° – 10x + 2 Find the following for this…

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Q: Ion 14 Based on the graph, find the set of all x-values for which the points P(x, y) are on the…

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Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx du = dx |…

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Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

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Q: oco=Sine secoこ cot =tano tano-o (8) Find all the solutioms to the following equations on the given…

A: (a) The given equation is: sin x=12, where x is any real number.

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

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Q: Evaluate f x(x- 1) dx | c. (x + 1) -x + 1) +C D.x – 1) -- 1) +c x(3 35 1)z (x- | | 35 35 35 |

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Q: Exercise 1. Find the following limits 2 3x + tan 2x 2x + x tan 2x sin 1) lim 2) lim 5x +x tan 2x 3)…

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Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

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

A: 2a intersection

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: Let D be the solid unit cube: 0 < x < 1, 0 <y< 1, 0 < : < 1. Let S be the closed surface boundary…

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Q: 10) 4xy dx - (6x² +y) dy so

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Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)]° and solve f '(2). Solution: Reason:

A: Solve the following

Q: Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2<z<1 f(z) =…

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