Determine two numbers whose sum is 36 and whose product is the largest possible. 20 and 16 15 and 21 O 12 and 24 18 and 18

Q: Given f(x, y, z)= x cos(y - z), find: (a) 821 дудх (b) 821 дхдz (c) (d) 82f дх2 231 ?хдудz

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Q: Differentiate f(N) = (N) = 0 bN² + N with respect to N. Assume that b and K are positive constants.…

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Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.3 4.6 10.4 17.5…

A: Average Velocity on a,b = s(b)-s(a)b-a.

Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 0,…

A: The region R bounded by the function fx=x36+1, the x-axis, x=0 and x=2.R is rotated about x-axis

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Q: Write the product as a sum or difference: 20 cos(482) sin(162) =

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A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

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A: Topic:- application of integration

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Q: Prove lim x-a 4x 4a, using the ɛ, 8 definitions of limit.

A: The given limit,   limx→a4x=4a

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Q: If u = x¹y + y²z³, where x = rse, y = rs²e-t and z = r²s sint, find the value of Ou/Os and Əu/ər…

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: Find all the second partial derivatives. f(x, y) = x³y² + 6x^y fxx (x, y) = {xy(x, y) fyx(x, y) (xin…

A: We want to find second order partial derivatives.

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A: We have to find the number of ways

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Question 4. A lamina with the density p(x, y) = x² is bounded by the curves y = 3x² and y=x² +2. 1)…

A: Let's find mass of lamina.

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

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Q: tion f(x) given below, evaluate lim f(x) and lim f(x). X48 X118 f(x) = x + √√x² + 3 answer below:

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Q: Write the first five terms of the sequence, give the exact answer: too n n+7 n=1 Determine whether…

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Q: above function is a solution of which of the following differential equations? y' = y² y' = y y' = 1…

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Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: Use dx f'[f¹(x)] Let f(x) = 7x³ +6, x20. Find dx x = 195 to find the derivative of the inverse at…

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Q: An engineering firm recently estimated its total revenue function as TR = 300q - 6q2² and its total…

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Q: Find F(s). ℒ{et sin 3t}

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Q: - x² - 6x - 1. Suppose that f is a function given as f(x) Simplify the expression f(x + h). f(x + h)…

A: see below the answer and calculation

Q: implicit

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Q: (c) Use the WASHER METHOD to set up a (sum of) definite integral(s) that is equal to the volume of…

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Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the…

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Q: Prove or disprove that the series below converges n-1 Σ(-) n=1

A: Let's prove that given series is converges or not.

Q: Evaluate: S O (1+2√√)¹ 2 O (1+2√)¹ +C 8 O 2(1+2√x) + C O (1+2√)¹ - + C 4 (1+2√x)³ - dx +C

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Q: Find F(s). ℒ{e−8t cos(6t)}

A: To find the laplace transform of the given function.

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A: We have to find the series is convergent or not and find the sum also.

Q: A spring with a 3-kg mass and a damping constant 8 can be held stretched 1.5 meters beyond its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   the damping constant…

Q: 1. 2. 3. The degree of the differential equation (1²³²)² + (¹x² A. 3 C. 1 B. 2 D. not defined The…

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Q: B) Find the area between the parabolas x = y² - 1 and x = = 2y² - 2

A: We have to find area between the given parabola.

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Q: Evaluate the indefinite integral. dx x(ln (x))6 (Express numbers in exact form. Use symbolic…

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Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: Find the limit algebraically by factoring the expression first. lim x--10 x + 10 -10x² + 1000

A: Follow the procedure given below.

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Q: Derivative application question please answer in full detail! A spherical balloon is being…

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Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…

Q: Find the centroid x of the plane region y=9-x^2 bounded by the positive x and y axes. O x = 3/4 O…

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Q: dx -√(x²+36)3/2

A: This question can be solved using the concept of integration by substitution.

Q: Determine whic 3. The expression log 29+ log 28 + log 27 + log 26 +log 25 - 2 log 5 can be written…

A: We can find the answer as below.

Q: T Express the surface area of the surface obtained by rotating the graph of y = 4 sin (x) for 0 ≤ x…

A: Recall: Surface area SA=∫ab2πy1+dydx2dx We have, y=4sin(x), a=0, b=π6

Q: The volume generated by revolving the first-quadrant area bounded by the parabola y2 = 8x and the…

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