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Q: Let F(r, y, z) = r²i+ y²j+ z²k and S the surface of the region bounded by 5. the cylinder 1? + y² = ...

A: Divergence theorem

Q: 8. ontinuity at z = 8 by calculating the limits from the left and right at %3D

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Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse axis...

Q: 2.2

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Q: ) Rationalize the denominator of

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Q: -5 -7 2 Determine the evaluaton of each definite integral. sot v(t) dt =| Sa? v(t) dt = S710 v(t) dt...

A: Since you have asked multiple question, we will solve the first 3 part question for you as per our g...

Q: Determine the following for the scenario: Suppose that for a certain company, the price-demand equat...

A:

Q: f R(x) = 4x and C(x) = 0.004x + 1.5x + 50,

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Q: Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distan...

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Q: . Using integration by parts: prove that ſ In u du = u In|u| – u + C %3D

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Q: Find a power series representation for the function. (Give your power series representation centered...

A: The given function  f(x)=51-x2

Q: Find the area of the triangle with vertices P(1, 2, -4), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the ex...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: The graph below is the function f(z) -2 -3- -4- Determine which one of the following rules for conti...

A:

Q: Consider the function f(x)=x^4−98x^2+10,    −6≤x≤15. This function has an absolute minimum value eq...

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Q: The graph below is the function f(T) 10 -9 -8 -7 -6 -5 -3 -2 2 4 5 -2- -3- -4- -5+ Determine the fol...

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Q: Evaluate: Jx?cos(2x)dx 2x?sin(2x) + 2xcos(2x) – sin(2x) + C A 4 2x2sin(2x) + 2xcos(2x)+ sin(2x) (B +...

A:

Q: Find the Maclaurin series for f(x). f(x) = sin- 3

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Q: X+Z4-てて-5 二メ -34ト42:9 2メーツ tて。

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Q: Find an equation for the tangent to the curve y = at x=2

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Q: 18xy ive of the function g(x, y) x-y abolic notation and fractions where needed.)

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Q: ind the general solution of the following equation. Express the solution explicitly as a function of...

A: Given query is to find the solution of the differential equation.

Q: find the Domain and Range 1. f(x)=/2-x 2. f(x)=\x|–3 2x 3. f(x)=- r-1 4. f(r)= 2r-1 3x+9

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Q: "Given vectors A = and B = , find A dot B. " QUICKLY

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Q: Let f (x) = ax- 3/12 + 4x². Find the value of a if f' (1) = 16. Enter the value of a in the box and ...

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Q: Ser sed d tanr dy

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Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v orth...

A: Given that v=4,-1,7  ,b=6,6,-7Solution : The vector component of v along b=v→cosθb^    θ= angle betw...

Q: Car 1 is heading due south from Mathtown at a rate of 41 miles per hour. Car 2 is heading due west f...

A: Explanation of the answer is as follows

Q: Activity II Direct ona: Match each solid figure in column A with its surface column B. Write the cor...

A: We will find the surface area of all the five solid figure as following.

Q: Use the table to find lim f(1). 6 6.9 | 6.99 6.999 77.001 7.01 7.18 f(x) | 4|5.8 5.99 5.999 |X|6.001...

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Q: 1 Question 3 Determine whether the series ) converges or diverges. Be sure to name any test(s) used ...

A: Given problem:-

Q: Given the function below, determine if the function is continuous at the point I = 4. If not, indica...

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Q: Determine the interval(s) where f(x) is increasing and identify any local maxima. Complete the table...

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Q: Given Cost and Revenue functions C(q) = q° - 9q +51q + 5000 and R(q) = - 3q + 2600q, what is the min...

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Q: (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimu...

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Q: The function A = Age1 models the amount an individual owes a credit company t years after some initi...

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², y = 4x, about the line y...

A: We have to find the volume of the region.

Q: Vx - х2 dx;

A: We will evaluate the definite integral using the formula given in #113 as following.

Q: (b) Let f(x) = sin (cos-1 (sin(cos-vx))).B f'(1) = using chain rule, show that %3D

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Q: x² + x – 2 ? What is the point of discontinuity of

A: here is we see that function is not define when x=2

Q: sin-e)+sec-1(x) tan-1x+tan-1 d Find dx

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Q: nt Use A = P(1+)" where: A = the amortized amount (total loan/investment amount over the life of the...

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Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...

Q: Z2-11xこX-

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Q: The volume of the solid obtained by rotating the region enclosed by 1 y = 0, x = 3, and x = 8, about...

A:

Q: 1- 9r + 14 if z +0 At what value/s of x is/are the function of f(x). I-7 discontinuou 2 if x = 0

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Q: Intervals where g is concave down: x-values where inflection points occur:

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Q: Find the sum of the series. 8" n! n = 0

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Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (-x --) - 1...

A: Graph

Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

A: