18 [™ f(z)dz where a = 11 - F f(x)dr = [² (² and b 0 f(x)dr

Q: Under perfect competition, a firm can sell at a price of $200 per unit all of a particular commodity…

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Q: Write the first five terms of the sequence, give the exact answer: +∞ {n+19)-1 Determine whether the…

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Q: Which of the following describes the graph of g(x) = -In(4 — x)? 8 7 5 4 2 2 -30-9-8-4 -6 -10 6 8 9…

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Q: Given f(x) = = Domain: 1 x + 2 and g(x) = 6 X - 4' find the domain of f(g(x))

A: We have to find the domain

Q: ind the indicated function and write its domain 8) p(x) = x² + 6x, q(x)=√√1-x, (x) = ?

A: We have to determine domain

Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: 3 co ós co -6 -3 144 -4 Let y = ,V1= 5 -1 Compute the distance d from y to the subspace of R4…

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

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Q: find distance between point A(2,-4) perpendicular on the line L: 3x- 4y=17 6.5 O 7.22 O 4.79 O 6.22…

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = dx -

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Q: 4. Evaluate √x² - 2x + 1dx

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Q: Show that the following are binary operations on the specified sets. 1. Addition, subtraction, and…

A: Binary operation is the operation which is performed on two elements of a set X and the result is…

Q: Solve 5^(x-3)=2^(6x-8)

A: Topic = Algebra

Q: Evaluate the given integral by changing to polar coordinates. Sk (4x - y) dA, where R is the region…

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Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &  g(x)=x-1

Q: 1. a) Given the lines L₁ : 7 = (1,2,−4) + t(k+ 1,3k + 1, k − 3) and L₂: x=2-3s, y = 1-10s, z = 3-5s,…

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Q: Evaluate x³ + €

A: On solving this we will get

Q: Given an acute angle Cosx=2/7, find the exact value of cos(x/2). (Use a half-angle formula)

A: As we know from the half angle formula; cosx2=±1+cosx2   Given; cosx=27

Q: calculusssss please

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Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: Given :a=<2,-4, 5>b=<-1, 0,-3>c=<3,-5,-3>

Q: is: The value of the following limit Lim (cos(x))ou(x)

A: The value of the limit is when x tends to 0 for the function (cos(x))cotx

Q: By using the differential operator D and it's inverse, solve this equation: y"" - y" - 6y' = ex ex…

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Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: First we find the limits of integration.

Q: Let C be a nonempty subset of a bounded set D. Why does inf C and sup C exist? Show that (c) inf D ≤…

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Q: In a random check on an assembly line, the probability of finding a defective item is 0.005.…

A: This question can be solved using binomial probability distribution.

Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

A: The given intregration,∫sin2θ3-7sinθdθ

Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. U = x-yz +y³

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 7 sin(x) + 7 cos(x),…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: topic- average value of function over interval

Q: The number of bacteria in a culture is given by the function n(t) = 940e 0.1t where t is measured in…

A: To find out the relative growth rate.

Q: Graph the rational function. -2x+2 -x+4 Start by drawing the vertical and horizontal asymptotes.…

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

Q: Solve for t, 0≤ t < 2π 18 sin(t) cos(t) = 12 sin(t) t = Give your answers accurate to at least two…

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Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=&lt;a,b,c&gt; then its standard form is v=ai^+bj^+ck^

Q: (x² - 12x + 9) dx (x²-3x + 2)²

A:

Q: (3, 2, a) Calculate the magnitude of b. b) Determine whether a and bare perpendicular. c) Find the…

A: Note: as per guidelines we support only three subparts of the questions. Kindly repost next…

Q: 4. With the fact of 1² +2²+...+ n² = n(n+1)(2n + 1)/6, prove that n n n(n −1) ΣΣ(i-j)² 6 i=1 j=1…

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A: The given points A(-1,3,7) and B(2,-1,6).

Q: 4. Determine a value of k for which the line L₁ : x=2s, y = 1+ks, z = 2-s, se R and the line…

A: Topic = Geometry As per guidelines , At a time only one question can be answered. please repost for…

Q: Evaluate the following integral by using Odd and Even Powers Method: y = cos(x) dx =

A: If power of cos(x) is odd then put sin(x) = t and reduce the integrand in terms of 't' and then…

Q: 24. Which of the following lines is not parallel to the other three? a. 7=(3,-5,-3) + s(2,-3,1), s e…

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Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: Let's find amount of salt at t=10minute.

Q: Find the product of the following two matrices. 01 -2] - [1436 237 -3 -2 3 0 Columns: 2 Rows: 2

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Q: 5x 5 y-y-ey = e

A: Given problem:- Solve differential equation y'' -y' -2y=e5x

Q: Use the Lagrangian method to minimize f(x, y, z) = x² + 2y² + z² s.t. x² + 2y + 3z = 8 Find the…

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Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

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Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: 1. Using the diagram below, fill in the blanks. B A D G F H E Column A: a) AB+ BC b) FE+FG c) HG+FB…

A: We need to fill in the answers.