5 Find two geometric means between -2 and 54 -2, 54

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: We can solve the given problem by using the variable separable method.

Q: cos(etan 3x) y cos

A: The given function y=cosetan3x

Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Given :L=0.1 HR=70  ohmE=30 volti(0)=0

Q: lim 818 sin n+1 n + sin n+2 n + sin n n+3 n +... + sin (2) = cos(1) - cos(2).

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Q: The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

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Q: 1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied…

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Q: √3 ♡ dx 1 + x2

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Q: Use the translations to graph the given function. Show all of the transformation on the same graph.…

A: We have to find transformation

Q: A coffee merchant sells three blends of coffee. A bag of the house blend contains 100 grams of…

A: This question can be solved using the concept of system of linear equation.

Q: Use the transformation to graph the given function. Show all of the transformations on the same…

A: We have to translate the graph

Q: Evaluate using Partial Fraction Decomposition: S z² (z+1)²(z-1) dz

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Q: Solve the following. x³-x²-√2x limx→21 x2-11x+18

A: To evaluate the given limit, first, we multiply the numerator and denominator of the given function…

Q: Given z=x²y+3xy4, x=sin(2t), y=cos(t), find dz/dt when t=0

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Q: If f(x) = 5³x then f'(x) = 5.A 5h 3 In S O 3x(5³-1) 5³ (In 125) 3(5²)

A: Here, the given function is: f(x)=53x So, note that ddx(ax)=axln(a) where a is a constant.

Q: Evaluate the following integrals by interpreting each in terms of areas. (²√₁ 1 - x² dx Jo

A: Recall:  Area of circle=πr2

Q: Identify the number of significant figures (sig figs) in each of the values. I sig fig 2 sig figs 3…

A: We can find the significant figures.

Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

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Q: 10 5 Let A 4 1 -3 k 6-2 Find the values of k for which A is invertible. O Ais invertible ifk # 27.2.…

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Q: Solve step by step in digital format (2 + x)² − 4 d) lím x-0 X 6x² - 3x + 2 e) lím x-0 4x - 3

A: Given, Evaluate,

Q: x² Evaluate using Partial Fraction Decomposition: f(x+1)²(x-1) dx

A: To evaluate the given integral by using Partial Fraction Decomposition. ∫x2x+12x-1 dx

Q: 5 ;ㅣ

A: We have to find first four terms of give series.

Q: f is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an abso inimum value…

A: Topic:- calculus    Definition :-  Extreme Value Theorem   If a function f(x) is continuous on a…

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: 6dx X – - 3√/x²

A: Given

Q: The particular solution In (x) = 3x + 4y, y(0) = 0 is A. e³x + 3e-4y = 4 B. 4e3x3e-4y = 3 C. 4e3x +…

A: Topic = Differential equation

Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A: We have to find solutions

Q: 12. Setan 2x sec² 2x dx

A: As per guidelines we can solve only one questions at a time, so if you need more answers kindly…

Q: By using Chain Rule, find au/ax, au/ay, du/az at (x, y, z)=(√√3,2,1) U= P-q q-r p= x+y+z q=x-y+z,…

A:

Q: Given the function f(x) = x³ − 2x² + 3x within the interval [0, 2], - - at what values of x do the…

A: The given function:fx=13x3-2x2+3x ; within the interval 0,2.We need to find the values of x at which…

Q: lim √25t2 + 2-5t

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Q: Find the dot product of the following vectors u and 7. ū u v =

A: We can find the answer as below.

Q: If y = (sin x)e, what is dy ? dx

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Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

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Q: 0 KIN KIN π 2 2 ²/² 02 sin o dr do de 0

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Q: h pendant. In one setting, the two diamonds would have a mas e second setting, the mass of two…

A: Topic:- algebra

Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: x(t) = Find a plane containing the point (-3,5,-2) and the line y(t) = z(t) = 5 - 3t 8 + 6t 7 + 6t

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Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Use a Maclaurin series for sin x to obtain the Maclaurin series for f(x) = sin(x¹).

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Q: 6dx S: ³√x² x-

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Q: (a) Find the position vector of a particle that has the given acceleration and the specified initial…

A: To find the position vector of a particle with given acceleration vector and initial conditions

Q: 2) Find the particular solution using the following indicated initial values. (D² +4D+5)y=10e³; when…

A: Given :D2+4D+5y=10e-3x

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: * Two unlike parallel forces, each of magnitude 50 kN are 200 mm apart from each other. what will be…

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Q: PO: Given the surface 2 cos xexây 5 y a) find of the question of the tangent plane to the surface…

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Q: 12 1= A ✩ = OÅ and √ – OẺ . Then, AC is equal to: U= = Oa)-7-7 Ob)-7 Od-+7

A: Topic:- vector algebra

Q: a. [CO²2 2 cos²x√4 tan x tan² x da

A:

Q: Consider the following matrix. A = [22 -2] How many vectors are in the basis of row(A)?

A: Given: Now,                   30-3222Reduced matrix to reduced row echelon form:=10-1012The rank of…