2. (a) Find the linear approximation L(x, y) near the point (1, 2) of the function f (X,Y)=(0=Y) + 2.xy+x² -y (b) What type of surface or curve is given by this equation?

Q: Given this polynomial x²+3x+5=0 such that r and s are the two roots of the equation. Find the value…

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Q: SLOPPY

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Q: probability that a randomly selected elementary school teacher from a city is a female is 0,68,…

A: Given: P(Female) = 0.68 P(Second job) = 0.42 P(Female and Second job) = 0.29

Q: A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that…

A: If the population mean is 4.4 kg, then the machine should not be stopped and if it is not 4.4 kg,…

Q: TJA decorative oak post is 36 inches long and is turned on a lathe so that its profile is sinusoidal…

A: Consider the provided figure, According to you we have to solve the part (b),

Q: Given the probability distribution where A, a and λ are constants. p(x) = Ae-A(x-a)²

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Q: 2. Let f: (0,-1→ R be a function defined by f (x) = x¯* for every x E (0,-1. Sketch its function…

A: This is a problem of the application of differential calculus.

Q: The total cost of producing x blankets per day is a²+8x+20 dollars and each blanket may be sold at…

A: We use second derivative test to find number of blankets where profit maximum

Q: -2

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Q: Picture attached. Thanks in advance!

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Q: Maximize xy? on the ellipse 9 x² + 4 y? = 36 . a) O The maximum is 6. b) O The maximum is 12V3. c) O…

A: Given ellipse 9x2+4y2=36 and xy2

Q: Use the given zero to find all the zeros of the function. Function Zero (x) = 3x3 + 4x2 + 27x + 36…

A: We will solve the following.

Q: Given sin a = ,270° < a < 360° and tan B ,180° < B< 270°, find the exact value of sin(a + B).

A: In order to solve the given problem first find out the quadrant in which both the angles lies. Find…

Q: 2. Factorize the following expression: a. 4 + 4(2³) + 4 b. 108q-36+7q³ - 59q²

A: To factorize the following expression. (a) 4y+42y+4 (b) 108q-36+7q3-59q2

Q: m When we roll a pair of balanced dice and sum their results together )Find the sample space. ts)…

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Q: 2) Suppose a tennis ball is thrown upward from a tennis court that is 30 feet above ground (the…

A: Given position function:- st=-16t2+48t+30 We know Average rate of change of function fx in interval…

Q: Which of the following is true? A All of the above (D-xXD+x)=(D+xXD-x) (2D-1X3D+2)= (3D+2X2D-1)…

A: We know     (a+b)(a-b)= a2-b2= (a-b)(a-b)

Q: Determine whether the series n2-1 n-2 is absolutely convergent, conditionally convergent, or…

A: To determine whether the given series converges or diverges.

Q: A random sample of size 30 is to be selected from a population that has a mean u = 54 and a standard…

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Q: 4. Given f (x) =x' -12x +1. Use the second derivative test to determine the local extremum of f (x…

A: See the attachment.

Q: Suppose that one person in 1,000 people has a rare genetic disease. There is an excellent test for…

A: given data event A : have diseaseevent B : tests positiveP(A)  = 11000 = 0.001P(A') = 1 -0.001 =…

Q: For what value of x does the function f(x) =x 4x attain the absolute maximum %3D in the interval…

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Q: Let p be an odd prime. Prove that (a) If p 1 (mod 5) or p = 4 (mod 5), then 5 is quadratic residue…

A: Given p is an odd prime. (a). To prove that if p≡1(mod 5)  or  p≡4(mod 5), then 5 is a…

Q: QUESTION: PROVE that C- (x(e), y Ce) wheRE X= 1 +In () For All t>O to 3+21n (t) y- t

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Q: The amount spent on textbooks for the fall term was recorded for a sample of five hundred university…

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Q: Prove the following inequalities: Σ(1/ (1/1) ≤ logen, for all integer n ≥ 2. 1=2

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