Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth i...

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Q: Suppose that f(x) = 11x² + 4x. Find: (A) f'(x) = (B) The slope of the graph of f(x) at æ = 2 and æ =...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for...

Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

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Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: 1. A thermometer reading 180C is brought into a room where the temperature is 700C ; 1 minute la the...

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Q: 2y" + 7t y' + 9y = 0 betermine the Characteristic Equation for the Differential Equation and then So...

A: Topic:- differential equation

Q: Find the derivative of f (x) = (4x + 1)(5² + ®/æ ). Upload your work in the next question. The deriv...

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Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

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Q: f y=x^5, then y’=

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Evaluate the integral. 25 In y dy 16

A: Given problem:-

Q: 2. Nhat is the value of n for the row of Pascal's Triangle that is: 4 1 6 4 1? correct value of n) W...

A: Follow the procedure given below. 

Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input e...

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Q: what relationship should be present between two vectors for the law of cosines and sines to be used ...

A: a) for cosine law, the two vectors should have an angle between them. We should know any three eleme...

Q: to, thenk is15 not a - andly-k) 5/15 not a If fQ) =0,thvnk 5/5 not cs ond Oxok) Is/15 not a

A: The Remainder theorem says that if a polynomial P(x) is divided by (x-a) then remainder obtained is ...

Q: Find the exact cause of each expression

A: To find the exact values of the given expressions.

Q: have the cartesian coordinates x=3, y=9, z=3.  please show me how to convert to cylindrical coordina...

A: Given: x=3, y=9, z=3.  

Q: +3 What is the antiderivative of A + C B x3 (2x%6 +9) + C B © 9x2 + 2x3 + C 5% + 6x/2 + c

A: Given problem:-

Q: Use the comparison theorem to determine whether the integral is convergent or divergent. dx 3 + x12 ...

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Q: iv. an n!

A: The detailed solution is given below Thank you 

Q: Consider the surface given by the equation z - y = x2. Draw a total of at least 3 traces in at least...

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Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

A: Our Aim is to evaluate the limit of the expression given below:-limn→∞2+8n+7n26n2-5n+7 -(i)

Q: 1. Find the limit of the following: ** - 11х* +37х* +6х' - 297х +621x - 405 x* - 11x* +47х* -114х* +...

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Q: The height (feet) of an object moving vertically is given by s = - 16t2 + 144t + 108, where t is in ...

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Q: q7

A: We will solve the Differential equation. 

Q: Given the differential equation y" + 2y' + 3y = 0 Determine the General Solution for the given Diffe...

A: Follow the procedure given below. 

Q: Find the limit of the infinite sequence. (4n + 1)? t, = 2n(n- 2) Enter dne if the limit does not exi...

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Q: Use the graph to approximate the integral using the Trapezoidal approximation Rule and then usin Sho...

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix below...

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Q: 1. Prove that lim (10z – 7) = 3 using epsilon-delta definition of a limit.

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Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D U...

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Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: 1. Find the limit of the following: x° – 11x +37x* +6x' – 297x? +621x – 405 lim. x* —11x* +47х* -114...

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Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Determine whether the sequence an 13 23 n3 converges or n4 diverges. If it converges, find the limit...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: y =D dy 7 413 = 1-5x dx Find an equation for the curve that passes through the labeled The graph bel...

A: we have to find the equation of curve

Q: The function below is continuous at every real.number. Find the value of (m + 3/2). 1– 2x if x >4 mx...

A: We have to find 

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

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Q: 1. Find the 45th of the arithmetic sequence -18, -22, -26, -30

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: dt 15+2t-t

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Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: y" – 3y' + 2y = 2x² + 1

A: The Solution is given below

Q: edxte*

A:

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: We will find the 8th term. 

Q: the arm of a ferris wheel starting from the center to its passenger seat has a length of 80 ft. how ...

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Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 9000 + 6x + 0.3x². (a) F...

A: We will find the average rate. 

Q: 1. Each situation relates a quantity and a price. Calculate the two different unit rates associated ...

A: Use unitary method.

Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

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Q: Evaluate the definite integral 2 (5e +8x)dr using Part 1 of the Fundamental Theorem of Calculus. Ent...

A: Given problem:-