(-1)" Given: In(1+ x) = > if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to approximate the value of 0.2 In(1.1), give your answer in decimals.

Q: Given that Vf (5, -4) = 8 i – 7j, find the directional derivative of the function f at the point (5,…

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Q: The relationship between the number of decibels B and the intensity of a sound I in watts per…

A: a)β=10ln(10)lnI10-16β=10ln(10)lnI10-16β=10ln(10)ln(I)-ln(10)-16β=10ln(I)ln(10)+16ln(10)ln(10)β=10log…

Q: Use spherical coordinates to show that the volume of a sphere of radius R is V = *nR³.

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Q: 3" Σ 2. Use a direct comparison to test the convergence of 4" +n

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Q: Evaluate the given Mtegral y ehanging f2x°ydĂ, uneve O is the top half of the disk the polar…

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Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q = 205 when x=…

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Q: In Problems 25-32, find the indicated value. 25. f.(1,3) if f(x, y) = 5x'y- 4xy2

A: Given that : f(x,y) = 5x3y - 4xy2 and fx(1,3) To find : Value of f(x,y)

Q: Find the sum of the series. 2n n-D0 03 01 06

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Q: Find the vector component of v = (4, - 1, 7) along b (3, 6, -6) and the vector component of v…

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Q: •A savaic has propossitien is a ? what is the Mimerical coefficient of -5xy^2? Simplify…

A: The answers are :

Q: 1 (a) log16 2 = 4' That is, write your answer in the form A" = C. Then А |, B = and C 1 (b) log, 16…

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Q: Find the distance between the parallel planes – 2x + y +z = 0 and 10r – 5y – 5z – 11 = 0. Note:…

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Q: Question Evaluate the following limit using L'Hospital's rule. 60 lim -12 17x2 - 133x + 588 7x - 84…

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Q: Ray OB is the bisector of ∠AOC. The measure of ∠AOC = 7x+2 degrees and ∠ COB = 5x – 8…

A: A detailed solution is given below

Q: Solve the Bernoulli equation. -6 5xy' +y = y°, x>0

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Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

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Q: Consicler the functiun belou 2. fexy)=x°ewy %3D a) evaluate f(8,0) b) fincd the clonain of F ) Find…

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Q: Listen Use the Ratio Test to determine if the series converges or diverges. ne-Sn n=1 Converges…

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Q: . Prove the following using the epsilon-delta definition of a limit. b. lim x² = 4 X→2

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Q: Given: a, =4, d=-1 Answer the following questions. Part: 0 / 2 Part 1 of 2 (a) Write the first five…

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Q: b) How many bit (or binary) sequences are there of length six with a 1 as the first digit?

A: A bit string is list if 0s and 1s For each of our 6 bits we have 2 choices 0 and 1

Q: dx 3. 5 Sinux

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Q: Evaluate. (Be sure to check by differentiating!) 1 dx, x# - 3 + 3x 1 dx = 9+ 3x (Type an exact…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

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Q: An object moves in a straight light according to the position function s(t) = 2te-t where s is in…

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Q: -4 X+

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Q: dx 21 + C %3D

A: We have to find the value of ?

Q: Find the vector component of v = (4, – 1,7) along b = (2, 6, –9) and the vector component of v…

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Q: Find the directiunal deavative of the function at the given pornt in the direction Lof the rectorv…

A: Given problem:- Find the directional derivative of the function at the given point in the direction…

Q: The students at Prairiewood Elementary plan to make a pyramid out of plastic cups. The bottom row…

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Q: Find the directional derivative of f(x, y, z) 2y at P(5, 2,-4) in the direction from P to Q(4, 3,…

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: We need to write a non-recursive formula.

Q: Exercise I f(1, y)yz (a) Let f(r,y) = rỷ - . Then deduce that f(1,y)zy (Clairaut's theorem). %3D

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Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…

A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…

Q: Find an equation of the plane that is parallel to the plane x + 3y – 8z + 18 = 0 and contains the…

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Q: 12. 5 In(3x) dx 5ln (3x) + C 4

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

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Q: Find what is missing with complete solution

A: We know that ∫dx=x+c1. So,                 4∫dx=4x+4c1Let C=4c1.⇒4∫dx=4x+C

Q: The curve y: 3/2 is rotated about the y – axis. Calculate the surface area for 0<x<2

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Q: Find the vector component of v = (4, -1,7) along b = (1, 2, –2) and the vector component of v…

A: The vectors v=4,-1,7 and b=1,2,-2

Q: Find the derivative of the function described. (Rx5) 1. у %3D (2х + 3) (5х — 4) y = | Зх-1 2. f (x)…

A: Let's find.

Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: Determine whether the lines Lj and L2 are parallel. L1: x = 3 – 4t, y = 5 + t, z = 8 – t L2: x = 5 –…

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: Determine whether the lines Lj and L2 are parallel. L: x = 1– 2t, y = 4 + t, z = 6 – t L2: x = 4 –…

A: L1:x-1-2=y-41 =z-6-1=tdirection ratio: V1=(-2, 1, -1)L2:x-4-6=y+23 =z-7-3=tdirection ratio: V2=(-6,…

Q: x = xyln (y) – y² xy ln (x) – a² dy dx Option 3 O None of the choices dy dy dx dx x2 Option 2 Option…

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Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000