Solve the following quadratic inequality: a“ – 6x + 8 <0 Write your answer in interval notation. Note: Use oo for oo and U for union Show your work on paper. Use the space below to upload a picture of your work.

Q: P8: sin x cos x dx (2 sin x – 1)(sin x + 1)

A: Use the substitution and then partial fraction to solve the integration.

Q: Question 2 - a) [i- :- :]: Explain why the following series (-1)" 1+ n3/2 n=1 is Alternating. ]: Use…

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Q: x-3 3. Find lim and simplify. x+9 x-9

A: Solution

Q: sin x 2. Find the derivative of y = 3+2cos x

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Q: Asec24xdx

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Q: Consider the circle in the ay-plane given by the parametrization x = 2 cos t, y = 1+2 sin t, 0<t<…

A: Let's find.

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

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Q: Given f(x,y, z) = In(x² + y² + z²), show that ² f , ²f , ² f x² + y2 + z2

A: Given problem:-

Q: need

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Q: A number is chosen at random from the positive, even integers from 2 to 50. Find the probability…

A: First add the total number then add the total favorable number then use formula.

Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

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Q: 9

A: We will find the difference coefficient.

Q: Ge + C2x e* + C3 x*e*

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Q: solve the following first order differential equations (Homogeneous Equations)

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Q: Green theorem satisfied if the region C is closed True O false O

A: Greens theorem

Q: 2. Find the average value of the function x2 In(x) for 1 5x<3 Show your work in evaluating any…

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Q: Use the Squeeze Theorem to show that lim x* cos = 0. If If(x) < B| for all x in an interval…

A: Squeeze (Sandwich)Theorem The Sandwich Theorem, also known as the squeeze theorem, is used to find…

Q: x*dy tly' txy) (y+xy)dx =0 3-

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Q: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

Q: Consider this function: y=-5 sin(3x+x) (Continued from previous question.) Imagine the graph of this…

A: We will find the 5 points.

Q: 24 – 44 dy 2+ 4y с.

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Q: g. -3+i

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Q: Given y, (x) = x² is solution for the differential equation x?y" – 3xy' + 4y = 0 Using the reduction…

A: We have to find the solution of the differential equation.

Q: Nathan invested $2,870 for 219 days at a simple interest rate of 2.75% p.a. How much more or less…

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Q: 8. (y- 2x)dx - x(1- xy)dy 0 Ans.

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Q: cos(xy) + secy = 5

A: Find your answer below

Q: Arcsin(x/y) = 4x + 3y

A: To find out the double derivative.

Q: Given the series E n10 Which one of the following gives lim n=1(-10)+1 Select one: 3 10 1 None of…

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Q: The mean of two samples of size 50 and 100 are 54.5 and 50.3. Calculate the com bined mean of the…

A: Topic:- Basic algebra

Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t2 (in…

A: Let's find.

Q: Arcsin(x/y) = 4x + 3y %3D

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Q: Using appropriate substitution, [sec (2x) – 1] tan(2x) dx is equal to

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Q: Using the Nth term test for divergence, 00 n 5n-2 n2 n=1 diverges since lim V5n-2 n² is equal to O 5…

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Q: Suppose that the marginal cost function of a handbag manufac C"(x) = 3 -x² – x + 200 32 Quotlent %3D…

A: I have stated the used formula in the solution.

Q: Determine whether the series is absolutely convergent, conditionally convergent or divergent. Please…

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Q: cos(xy) + secy = 5

A: To find out the second derivative y".

Q: Determine the values of a, b, and c for Ax) = ax + bx+c so that f") = 6x- 3 and A2) = -1.

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Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: x-1 y = log x+1

A: Topic:- derivatives

Q: Using decomposition into partial fractions, 3x2 + 2 dx J x(x2 + 2) is equal to

A: The objective of the question is evaluate the indefinite integral using decomposition of partial…

Q: Determine s) for $) = 31 + 212 1 s'() = 41 + 3 Os') = 41 + O s'() = 41 - %3D s'(t) = t+4t %3D

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Q: s required to repay a loan that matured to $4,550 on August 14, 2015. ne realized that he could…

A: Topic:- simple interest

Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Q: A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above the…

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Q: 4.) f(x) = etinlx)+cos (x) 2+4x+4 5.) (x) = = 6.) S(x) = +r-s)(ar-7) 622-131+7

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Q: Find the area under the given function using integration

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Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…

A: This question can be solved using the concept of shell method.

Q: * ifr = 8 sece then the cartesian equation is

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