Write an expression for the distance w in terms of x. X=-3 t-2y+1 w/

Q: Describe all the x-values at a distance of 24 or less from the number 11

A: The value are belong between  11-24<x<11+24 -13<x<35 So smallest value of x possible=-13...

Q: 2x´ y + 3xy¯ = 5 find the second derivative %3D

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Q: Test the series below for convergence using the Root Test. 2n +1 3n +4 The limit of the root test si...

A: Given ∑    n=1∞2n+13n+4n We have to find f(n) , limit and we have to check that series is converge o...

Q: Prove that C(n + 4, r + 1) = C(n + 3, r + 1) + C(n + 3, r). Hint: expand each Combination and use co...

A: Explanation of the answer is as follows

Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 50x - 0.05x² - 650. (A) Find the av...

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Q: F(x) = / sec(1 + r*) dt. sin(x)

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Q: differentiałe 7x²-5xy" 3.

A: Consider  7x2-5xy3=-4

Q: a comma-separated list of equations.) Find all horizontal and vertical asymptotes (if any). (If an a...

A:

Q: Sketch the curve r 0 in polar coordinates for : i. (0 <= 0) (-0 < < 0) ii.

A: Given: - The curve r=θ in polar coordinates for: To sketch: - (1)θ&lt;=0 (2) -∞&lt;θ&lt;∞

Q: o y" + 2y' + 2y = 0 y" + 16y = 0 o y" - 4y' + 3y = 0 y" + y = 0 y" + 2y' + y = 0 у" - Зу' — 4у 3 о E...

A: Concepts: f(x) = e-x10[cos x + sin x]    f(x) = e+x10[cos x + sin x] 

Q: Evaluate the following limits. 1. lim cos2x = x TE X 2. lim tan3x = x X- 4 3. lim[log3 2x] =

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Q: sing permuations or combinations: Six people were asked to randomly select one food item from a lis...

A: topic- permutation and combination

Q: Find the general solution of the given second-order differential equation. Зу" + 2y' + у %3D 0 y(x) ...

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Q: Problem 5 Given the function f(x) = 9 – 2x² a) Calculate the difference quotient at the two points P...

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Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the integr...

A: We will evaluate the integral.

Q: solve for the unknown terms by the method of: 100 100 100 100 100 4 -1 1 X1 X2 X3 X4 X5 -1 4 -1 1 -1...

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Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: (- 4,3). a) Let f(x, y)= x²y°. Find the directional derivative of f at P(-1,1) in the direction of ū...

A: a)

Q: A IImanulacturer belne ves thal the cost Tur „2 C(x) = -x² + 65x + 540 approximates the dollar cost ...

A: Given query is to find the number of unit that canbe produce to make profit.

Q: You are the Director of Infrastructure Management at the Nash Telecommunications Company. You are ta...

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Q: a = 2î - j+ 3k b=i-sj+2k c = 4j-k (а) (b) (c) (d) Determine the sum of the vectors a, b and c. Calcu...

A: Given      a=2i ^-j ^+3k^  b=i^-5j^+2k^c=4j^-k^ We have to find sum of all vector , magnitude , unit...

Q: 3sec(2x-45)-2 amplitude,period,horizontal,vertical

A: We have to find the amplitude period horizontal and vertical shifts of the secent  function.

Q: 7x5 - x3 + 2x - 5 7. lim x→-o 9x6 – 2x2 + 10

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Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1 si...

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Q: Afx)

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Q: Counting technique (Using Permutations or Combinations): At the cafeteria, Edan has a choice of t...

A: At the cafeteria, Edan has a choice of three soups, four types of sandwich, and two desserts.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.            Numerato...

Q: X-2 ppropriate. Felect the correct choice below and fill in any answer boxes in your choice. DA. lim...

A: Given query is to find indicated limit from the graph.

Q: and A-1 true fals 412

A: Solve the matrix to find the inverse

Q: |(csc h5B- coth 5H°¢B

A: To find: ∫csch5β-coth5β2dβ Formula used: coth2(ax)=1+csch2ax∫csch2axdx=1acoth(ax)∫cschaxcoth(ax)dx=1...

Q: Evaluate the integral. Зп /4 6 sin (x) cos (x) dx Jn/2

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Q: 15. A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4mr) w...

A: Please refer to the image below

Q: 1. Let A, B, and C be as shown below. 2x] y A =|-4 1 4 . B = 5, | x 4] [3y 2 5 a. Find 2B – C" b. Fi...

A: Here matrix A, B and C are given we have to find matrix multiplication of A and B ;and between B and...

Q: Use the appropriate limit laws and theorems to cletermine the limit of the Seauence. an=In/ 8n?+ 2nt...

A: Follow next step

Q: Given * = (1+ a -- 14) dy 2 5 3 2 What is the value of k such that y is parallel to the curve

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Q: Draw a tangent line at a given point on the graph.

A: Here we have to draw tangent lines at a given point on the graph. 

Q: yay 4. +4y+11

A: The given integration is: ∫y dyy2+4y+11  To find the value of the integration.

Q: Given the polynomial f (x) = 2x' + 3x - 8x +3 determine the zeroes, the y-intercept, the local maxim...

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Q: 2 5 2 If A= 4 6. 4 then |A| is -1 2 -1. |A|=0 |A|=1 |A|=-1 O

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Q: O Find the largest value of A such that the function f(x) = x + 1x? - 4x + 6 is decreasing for all x...

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Q: 3) Determine whether the sequence converges or diverges. If it converges, find the limit. 3n+2 An 5n

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Q: ) dx (D) [ + 4 dx (C) 2 + 2 2x

A: We have to choose the correct answer from the given options according to the given information

Q: 3. Science problem concerning a rocket. S(t) = -16t2 + 80t + 224 is the function that represent the ...

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Q: Ax) = (2r' + 5)"

A: f(x)=(2x3+5)7  Then f'(x)=7(2x3+5)7-1×d dx(2x3+5)  f'(x)=7(2x3+5)6×6x2  f'(x)=42x2(2x3+5)6

Q: does the series diverge or converge

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Q: For the following function, a) give the coordinates of any critical points and classify each point a...

A: A) CRITICAL POINTS:f(x) =xx2+36f'(x) =-x2 + 36(x2+36)2f'(x) = 0-x2 + 36 = 0x2 = 36x =±6 Critical poi...

Q: k E R and f(x, y) = x² + y² + kxy

A: Here, the given function is: f(x,y)=x2+y2+kxy First of all, suppose k≠0 Now, the critical values of ...

Q: 4. Given y = 3u² – u and u = x³ – 1, use the Chain Rule in Leibniz notation to find the value of dy ...

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Q: iii. 1-sinx

A: Perform integration

Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323