Use the linear approximation of the following(Answers are to be expressed in 4 decimal places) f(x) = square root of 1 + x, to estimate square root of 0.95

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: A firm produces two types of calculators each​ week, x of type A and y of type B. The weekly revenue…

A: A firm produces two types of calculators each​ week, x of type A and y of type B. The weekly revenue…

Q: What is the domain and range of  g(x) = log(x-9) + 3

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Q: Consider the following integral. dx Given the substitution u = x° - 4, find du. du dx Rewrite the…

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Q: 5. When simplified, -(-i-v)-3(-27-4v) equals 7ü+13v

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Q: Solve 4 cos (x) 13 cos(x) – 12 = 0 for all solutions 0 < x < 27 I = 138.6 Give your answers accurate…

A: Let's find.

Q: solve 4cos^2(x)-13cos(x)-12=0 for all solutions 0<=x<2pie

A: We can find the solution as below.

Q: Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z"e6y…

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Q: a) Is the series >. is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: We have to find the convergent test

Q: 10 14 18 22 26 30 f(x) -13 -5 -1 1 5 7 30 Use the table to find lower and upper estimates for f(x)…

A: x 10 14 18 22 26 30 f(x) -13 -5 -1 1 5 7 By using the above table to find lower and upper…

Q: 4. 2 -4 -2 I 0| 2 4 6 8 lim Given the graph of the function f above find f(x) X- 2 A) 3 B) -i C) 2…

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Q: An object moving in a straight line has an acceleration in m/s2 given by a = 18t + 4. Find its…

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Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

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Q: In Problems 13 0-16 O, write a differential equation that fits the physical description. 16. The…

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Q: If L(4sin(3t) + 2cos(9t)) = As"+Bs +Cs+D, (s² +9)(s² +81) the value of C is

A: C = 18

Q: sinh x - 1 dx cosh x

A: We can find the answer as below.

Q: Problem #5: In the equation f(x) = e* In(5x)– e*+2 +log(e²x* find f '(3).

A: Given query is to find indicated derivative.

Q: Find the arc length of y = +(x + 2)³ + (x + 2)-1 for 1 < x < 2. (Give your answer to three decimal…

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Q: Using an appropriate test, check whether the following series converges: n33" Σ n=1 (n+2)!-4" +1 A.…

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Q: he path r(t) = (4 sin t) i+ (4 cos t) j describes motion on the circle x +y = 16. Find the…

A: Topic:- application of derivatives

Q: Match each of the Maclaurin series with correct function. 1. (-1)"2z"+1 2n + 1 2. (2n)! 00 2"" 3. n!…

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Q: d se dx 1 (x) = to find the derivative of the inverse at the indicated point. 1 t f(x) = – 5x° + 5,…

A: Topic:- application of derivatives

Q: Find parametric equations for the line through (- 4,6,1) perpendicular to the plane 7x + 3y + 9z =…

A: Note that, a vector which is perpendicular to the plane ax+by+cz+d=0 is (a, b, c). A parametric…

Q: (a) Sketch a graph of a function f such that: o f' 0 and f" > 0, for x > 3. (b) Does the graph of…

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Q: 3:) Consider the function g defined by g(x ,y) = cos (TXVG) + logg (x-y) 3 (b) calculate the…

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Q: epresent the following equation in ?² by a vector-valued/parametric equations: 2?² + 2?² − 2? + 2? =…

A: answer is in next step Represent the following equation in R2 by a vector-valued/parametric…

Q: 3 p Show that the area of an equilateral triangle with sides p cm is A = 4 If the side is changing…

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Q: or Divergence applies to en +2 Σ n=1 n*+6

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

Q: Consider the function f(z) = a + 4x. (F (c) Find the intervals of concavity and inflection points of…

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Q: Consider the solid of revolution obtained by revolving the region between the curves y=0 and y=x^2…

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Q: If the partial fraction decomposition of 2s2+13s–17 A s+3 Bs+C s2 –2s+4 (s+3)(s² –2s+4) then, the…

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Q: Evaluate: J Vx – 4x² dx 2

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Q: The interval on which the graph of f (x)= cos 2x, xE 0,7 is concave up is: %3D 37 (A) t 37 4 4 (B)…

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Q: Consider the following integral. eu du (5 - e")2 Find a substitution to rewrite the integrand as -…

A: Topic = Integration

Q: Find a parametrization of the line in which the planes x+ y +z = - 3 and y +z = 4 intersect. Find…

A: Solution: x+y+z = -3 ..............(1) y+z =4 .............(2)

Q: Find the work done by F over the curve in the direction of increasing t. F = xe 7x2 i + e 7y j + e…

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Q: Use the root test to determine whether the series 7n -n-2\" 3n2 +n+ 4 converges or diverges. Since…

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Q: Find the area (in square units) of the region bounded by the curve y = cosx and y = -1 on the…

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Q: Find the sum of the series. Σ 00 9hn! n = 0

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Q: n4 In n 00 b) Is the series is absolutely nº – 2 n=1 convergent or divergent? justify your answers.

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Q: Find the plane determined by the intersecting lines. y = 2+2t y = 1+ 2s z= 1- 4t L1 x= - 1+t L2 x=1-…

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Q: Which of the following integrals correctly gives the area of the region consisting of all points…

A: Topic = Area Correct option = A

Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: Write the product as a sum or difference: 8 sin(20x)sin(9r)

A: Consider  8sin(20x)sin(9x)

Q: An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is…

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Q: Evaluate the integral 7-2x dx /7+12x-4x²

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Q: A sequence is shown. -12, -7, -2, 3, 8, 13, … Which function produces the same sequence? f(n) =…

A: nth term of A.P. f(n)=a+(n-1)d

Q: Find the moving trihedral of the curve 7(t) at the indicated value: 7(t) = cos? t î + sin? t ĵ + 1…

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2,1), and C= (2,…

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Q: Use the root test to determine whether the series 7n -n - 2 3n2 +n + 4 converges or diverges. Since…

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