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Q: I'm stuck with this question

A: According to the divergence theorem, ∫∫SF.n^ dS=∫∫V∫divV dV Hence, the flux integral will be: Let a=...

Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the...

A: (a) Given that y=x, y=3, x=0. From the graph, Rx=3, rx=x. Volume at the x-axis is, V=π∫099-x=π9x-x2...

Q: Consider the function f(x)= -x³+8x²-3. Set up the limit expression that will find the formula for f'...

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Q: Advanced Math Question

A: As, from the figure it is clear that : The two curves C1 and C2 are in the same direction. Therefore...

Q: Mr.Hamilton waters one of his plants every 10 days and another plant every 14 days. If he waters bot...

A: The objective is to fine the number of days till the next time both plants are watered on same day, ...

Q: Randy jogged 2 5/10 kilometer,walked 1 1/10 kilometer and ran agin for 1 1/10 kilometer,how many kil...

A: Given that Randy jogged 2510 kilometer, walked 1110 kilometer and ran again for 1110 kilometer. The ...

Q: Show via Venn diagrams that the logical implication (A = B) is equivalent to the following expressio...

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Q: A graphing calculator is recommended. For a camera with a lens of fixed focal length F to focus on a...

A: (a). Given that the relation between focal lens and objects is given by the formula  1x+1y=1F Now, t...

Q: Explain in a sentence what the partial derivative of f with respect to x represents in the context o...

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Q: Solve the given initial value problem. 9y" - 12y' + 4y = 0, y(0) = 4, y'(0) -2 y(t)

A: Since multiple questions are posted only the first question will be answered. Kindly resubmit the un...

Q: Advanced Math Question

A: 5.  a) p(3) is "17<25" which is TRUE. b) p(2) is "12<25" which is true and p(5) is "27<25" ...

Q: Explains

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Q: part A. let C be a curve of points in R^2 which satisfy the equation  x^3 + xy +y^2 =3. use implicit...

A: We will answer the first question since we answer only one question at a time. Please submit the oth...

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Q: Proof this theorem 3.2.14

A: we have to show that ; The union of a finite collection of closed set is closed.  

Q: Using Theory of distributions, let be the function H : R → R, x → H(x) with [1, if x >0 H(x) 0, if x...

A: GivenH : ℝ→ℝ, x→Hx whereHx=1, if x≥00, if x<0

Q: APPLY THE GAUSS ELIMINATION METHOD TO FIND THE DETERMINANT OF THE MATRIX.

A: Consider the given matrix. A=09-30-4-50755-20-103-700-1004-80-710 Now, use the gauss elimination met...

Q: 1) Find a polynomial function f with real coefficients having the given degree and zeros. Degree: 6;...

A: Concept Used: If one imaginary factor is zero of the polynomial then its conjugate also a solution 

Q: The differential equation t 2 y 00 − 20 y = 0, t > 0, has two solutions of the form y = t r , whe...

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A: Amount invested is given as: P=$25,000 Rate of interest annually is given as 6.5% When compounded se...

Q: 4-A survey of 1000 college students yielded the following information: 396 students favored capital ...

A: (a)   Given: A survey of 1000 college students yielded the following information: 396 students favor...

Q: Consider the damped Duffing equation i = y, ý = x – a° – 6y, (z, v) E R², 8 > 0. Use the function V(...

A: Consider the provided question, the damped duffing equation:x.=yy.=x-x3-δy,   x,y∈R2,  δ>0 the fi...

Q: Show the truth table for [p => (q => r)] <=> [(p ∧ q) => r]

A: Construct a truth table for p→q→r as follows.

Q: multiply 2/3 x 9/16

A: Compute the value of 23×916 as follows. Rewrite the given expression as 23×3328 .  

Q: A gasoline tank is an oblate spheroid generated by revolving the region bounded by the graph of

A: A gasoline tank is an oblate spheroid generated by revoluting the region boundedby graph of x29+y24=...

Q: Time to Double Amount After 10 Years Initial Annual % Rate Investment S10010. 3.5%

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 8x(x2 + 3xy + y-1)dx + (28x³ + 5x*y¬1+ 6x²y¬2 + 6y¯2)dy = 0

A: Given differential equation is 8x(x2+3xy+y-1)dx+(28x3+5x4y-1+6x2y-2+6y-3/2)dy=0 It is in the form Md...

Q: 8. For the autonomous differential equation dy = y(y-3)(y+2) dt %3! a) Draw the phase line for the d...

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Q: Use Lagrange multipliers to solve the given optimization problem. Find the minimum value of f(x, y) ...

A: Rewrite the problem with the constraint in the form gx,y=0. Minimize fx,y=x2+y2 subject to xy2=16. H...

Q: Using the following binomial model of one-year interest rate, price a 2-year, 5% annual-coupon bond ...

A: Given;-                Value of bond=979$

Q: A В A country and western band is based in City A. They are planning a concert tour to the seven cit...

A: Here, Hungarian method is applied to solve the given problem treating it as an assignment problem. T...

Q: Linear Algebra

A: We have to find determinant of matrix A and B:

Q: This is a calculus 3 problem. Please explain each step clearly, no cursive writing.

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Q: exercise in the picture.

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Q: Let S be the portion of the plane z = 7x contained in the half-cylinder of radius R = 3 depicted in ...

A: According to the given information, it is required to use the stokes theorem to find the circulation...

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Q: Niger is one of the few countries in the world where the population is still growing at a rate above...

A: The current population of Niger is estimated to be 21 million people. If the population of Niger gro...

Q: Strictly homework not quiz...would be helpful if you showers step by step:) making it clear! Thanks!

A: The given system are x-3y≥-3 and 2x+y≤4.

Q: Find the cardinal numbers of the sets in the given pair to determine whether the sets are equivalent...

A: The sets A and B can be written as A=2·1, 2·2, 2·.3,........, 2·64, 2·65   =2n  1≤n≤65 and n∈ℕand B=...

Q: Can someone thoroughly explain how to find the answer for this question

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Q: Integration over general regions: Find the volume of the given solid. Under the plane 3x + 2y − z = ...

A: The volume is given by, V=∫x∫y∫zdxdydz=∫x=01∫y=x2x∫z=03x+2ydxdydz=∫x=01∫y=x2x3x+2y dxdy=∫x=013xy+y2x...

Q: How do I prove this: Let a, b, y ∈ Z and d ∈ N so that b ≡ y(mod d). Then a ⋅ b ≡ a ⋅ y(mod d).

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.