On the function to the right, g(x), find the average rate of change over the interval (-2, 1). -15- -12 -94 -6 -3 -2 4 -3 -9F -12 -15- rise _ y; - Yı Slope = m = run X; -X, 6925

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A: According to the given information, it is required to find the smallest value of N such that SN appr...

Q: Calculate the volume of the solid which lies above the cone 3z2 = x2 + y² and below the sphere (x – ...

A: Given solid lies above the cone 3z2=x2+y2 and below the sphere x-22+y2+z2=4

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A: Midpoint rule for double integrals is ∬R f(x,y) dA ≈ ∑ i=1 m ∑j=1n fxi, yj∆A where xi¯ is the midpoi...

Q: 6. Calculate the area of a regular octagon, if each side is 5 cm and the width across the flats is 1...

A: Consider the following figure. The area of the above octagon is 8 times the area of the triangle wi...

Q: Only do 21 Please do fastly

A:

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A: Let x denotes the number of campers doing water based activities and y denotes the number of campers...

Q: ,Analyze the stability of equilibrium, and make a rough sketch of the solution, y(f). Hint: start by...

A: Sketch the rough graph of the solution as follows: The solutions are stable as the trajectories are...

Q: 7. Derive the Wigner distribution of the signal s(t) = e+junt

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Q: Let f(x, y, z) = x² y² + 2 x² z + y z². (a) The equation of a surface S is f(x, y, z) = –8. Find the...

A: Given: fx,y,z=x2y2+2x2z+yz2 (a) As fx,y,z=x2y2+2x2z+yz2=-8, P2,1,-2   Let  Fx,y,z=fx,y,z+8Fx,y,z=x2y...

Q: Find all the values of x such that the given series would converge. (x – 11)" 11" n=1 The series is ...

A:

Q: The following data points can be modeled as a linear equation: -11 -7 -3 -2 1. 4. 6. -2 2 3 9 The po...

A: here in the given question, there are 7 observation.   Equation of the regression line is given as y...

Q: Question 5 Use the Lagrange multipliers approach and delermine the optimized perimeter of the follow...

A: Perimeter of shaded region isPerimeter P=b+a+b+a+πb2=2a+2+π2bNow,the area of shaded region isA=b*a+b...

Q: show that ¬( p ⊕ q)( p + q) and p.q are logically equivalent. by using logical equivalences

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Q: Let R be a commutative ring with identity. Using the homomorphism theorem (Theorem 16.45) and Propos...

A: Recall that in a ring A  not necessarily commutative and with an identity, an ideal M⊂A is a maximal...

Q: Consider the following vector field: F(x, y, z) = yz i+xz j+ (xy+ 2z) k a) Confirm that F is a conse...

A: The vector form of the vector field is, yz,xz,xy+2z.

Q: Determine the domain of the following function, and write your response in interval notation. Write ...

A: the domain of the function are the points at which the the value of the function is real and defined...

Q: A path is 2 meters wide and n meters long. It is to be pave using paving stones of sizes 1m x 2m and...

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Q: The nine chips shown below are placed in a sack and then mixed up. Madeline draws one chip from this...

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Q: Let n ≥ 1 be an integer. Show that in any set of n consecutive integers, there is exactly one that i...

A: According to the given information, it is required to show that in any set of n consecutive integers...

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A: Part(e): from part (d) we have that the couple pay over the life of the loan by paying the extra $20...

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Q: On the way home from school, Dora likes to eat cookies. One daytime, just as she reached into her ba...

A:

Q: Let p(x) = 3x+2 and h(x) = x^2 -1. Perform the indicated operations and simplify your answer.   3...

A: 3. Given that, the functions are px=3x+2 and hx=x2-1. In order to find the value of ph4, first find ...

Q: A nature reserve on an island contains a population of endangered turtles. The reserve is not fenced...

A: 1Suppose the reserve has x turtles inside and y turtles outside.The reserve in a particular year is ...

Q: S is the surface with parametric equations x = Зи+v, у — Зи-v, z = uv for (u, v) in the region D in ...

A: Re-writting given integral in form of parametric equation as,∬F.n dS=∫01∫1u36u,6u,2uv2-∂F∂u,-∂F∂v,1d...

Q: Jose collects stamps. He has 7 used stamps for every 4 new stamps. If he has 28 new stamps, how many...

A: Given there are 7 used stamps for every 4 new stamps. Also given that there are 28 new stamps.

Q: Consider the set K rational numbers) defined by x Ry if and only if E K, for x, y E Q+, is an equiva...

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A:

Q: S is the surface with parametric equations x = Зи+ v, у — Зи— v, z = uv for (u, v) in the region D i...

A: The integral of a scalar valued function can be calculated as follows, using the parametrization: ∬S...

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A: The objective here is to calculate the rate at which the light projected on the wall is moving along...

Q: Use a power series to compute: dx

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Q: Consider the function the following rational function 10+ 6 4 -8 -6 -4 -2 4 -2- -4- -6- -10+ 1. The ...

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Q: A-E

A:  given demand Dx=2000-4x supply Sx=600+10x where x is the apartment  to find deadweight loss

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Q: Find general solutions in powers of x of the equation y" + x²y = 0. Solve the two functions such tha...

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Q: b. show if the point (2, (R+2Z)) is a solution for the following system of inequalities2x − 3 &lt; y...

A: Given that R=4 and Z=9. Therefore, we have (R+2Z)=(4+2*9)=22. First, we need to verify whether the p...

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.