Question Find the symmetry of the following function. a) 10y3 + 15x³ + 9x = 2 b) 5y5 4x6-3x = 12

Q: Estimate the partial derivative at the marked point on the curve c = 12. Give your answer to one…

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Q: Evaluate the double integral of the following tabular data using the composite Simpson's 1/3 rule.…

A: Here, a=0b=4c=0d=2

Q: (a) For which values of p does the integral 1 de converge?

A: Note: As multiple questions have been asked, so only First question (a) have been solved here…

Q: A tank is initially filled to capacity with 250 L pure water. At t=0, brine containing 2 g/L salt is…

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Q: Find the indicated derivative or integral a. D, (3** * ) c. D, log,, (x³ +9) –3x а. D, b. |x 2* dx…

A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x =…

Q: 55. If A is a constant vector, prove V(r A) = A.

A: The del of the given dot product is given as follows :

Q: cot? 3x lim (sec³ 2x) x→0 e O 2/3 e^2/3

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Q: Following setsaf vecbr! 3 which of the below ane linear indépendent. A) {!, &s413t} B) {t, ť°,…

A: According to the given information, it is required to check whether the given vectors are linearly…

Q: 16) A normal population has a mean of 70 and a standard deviation of 5. What is the probability that…

A: The mean and standard deviation are 70 and 5.

Q: b) P₁ = 8(n-1 P3) 11

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Q: The Cholesky decomposition: Select one: а. is faster than the LU decomposition when solving a linear…

A: Solution:- the Cholesky decomposition is roughly twice as efficient as the LU decomposition for…

Q: Can you solve (ii)

A: ii) To find the area between the curves: y=12x−x2,y=x2−10x

Q: A manufacturer determines that between 0 and 1000 units can be made, and that the total cost of…

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Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: On average, a textbook author makes two words processing errors per page on the first draft of her…

A: Let X be the number of errors made in one page. Then X has a poisson distribution with λ=2 per…

Q: 17) The weights of adult beagles are normally distributed with a mean of 25 pounds and a standard…

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Q: 8 [(x - 5 -9 (x - 5|x) dx

A: use the value of the absolute function.

Q: Ex 4: On average, 3 traffic accidents per month occur at a certain intersection. What is the…

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Q: Ex 7: Let X denote the number of bits received in error in a digital communication channel, and…

A: Given,n=1000p=0.001q=1-0.001=0.999A random variable X~Binomial(n=1000 ,…

Q: (vi) rot(fÃ) = f rot Ã+ grad(f) × rot à (vii) div(Ā× B) = B. rot à – Ã. rot Ē (viii) rot rot à =…

A: We know rot means rotational or curl.

Q: Suppose that X has a Poisson distribution with a mean of 4. Determine the following probabilities:…

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Q: 16 For each of the following rules, indicate whether it is an increasing linear function, decreasing…

A: Let the given function is     y=arx then it represents an exponential function case-i if r<1 then…

Q: 5. Prove that the following set is inconsistent in SDE, indicating which lines of the derivation…

A: Here, we need to prove that the following set is inconsistent in SDE indicating those lines of the…

Q: You believe that more than one variable likely leads to teacher success (Y) and you think that both…

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Q: Which of the following represents the quotient of 24x0 + 18x* + 12 and 6x° ? ect one: A. 4a + 3x + 2…

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Q: A small commuter airline is concerned about reservation no-shows and, correspondingly, how much they…

A: Note: Thank you for the question. Since multiple sub parts are posted, according to our policy, we…

Q: 4) A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one…

A: Given that there are 10 red and 12 white flowers. So, total (10+12)=22 flowers   i) We can draw the…

Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: dnd tie r(t) = (3 cos t,3 sin t,3t)

A: Given: r(t)=<3cost,3sint,3t> Unit tangent vector formula is    T(t)=r'(t)|r'(t)|

Q: (0,0,-1) across the slanted face of the tetrahedron in the first octant, normal vectors point…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.