What is the normal line to the curve 9x²+4y²=36 at (0,3) ?

Q: Given a nominal interest rate of 1.5% compounded daily (ie: compounded on each calendar day),…

A: Solution- Given Accumulated value after 9 years (A)=$20,000 Rate(r)=1.5% or 0.015 (annually)…

Q: Let f(x) be the function f(7+h)-f(7) h a = and b= 1 x + 8 1 . Then the quotient can be simplified to…

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Q: Suppose that f(x, y) = 2x + 4y at which −3 ≤ x ≤ 3, − 3 ≤ y ≤ 3. Absolute minimum of f(x, y) is…

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Q: y"+11y'+24y = 0 X(0) = 0 y'(0) = 7

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Q: K Use the quotient rule to find the derivative of the given function. Then find the derivative by…

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Q: Suppose f(x) is continuous on [4, 6] and −4 ≤ f'(x) ≤ 3 for all x in (4, 6). Use the Mean Value…

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Q: Use the table below to find X f'(x) g'(x) 1 2 1 [1.3f(x)] |x = 5 = 253 1 [1.3f(x)] dx 3 4 1 2 لی اند…

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Q: What is the degree and order of the given differential equation? d²y dx2 5 + degree 1 and order 3…

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Q: The demand function for a Christmas music CD is given by q= D(p) = 0.25 (225 - p²) where q (measured…

A: As per bartleby guidelines we only give first three questions answers. Please repost for other…

Q: Find the absolute maximum and minimum of f(x, y) = 2x + 2y within the domain x² + y² ≤9. Please show…

A: Please see the below picture for detailed solution.

Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

A: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

Q: Find three angles which are coterminal to -575°.

A: Coterminal angle

Q: Use the root test to determine if the following series converges or diverges. 16 Σ n=1 (6+(1/n))²n…

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Q: Find, correct to three decimal places, the point on the curve y = 4 ln x + ex at which the tangent…

A: For a curve f(x), f'(x) at any point represents the slope of the tangent to the curve at the given…

Q: Would it be DNE ?

A: Let's solve. In above answer calculation mistake is there.

Q: In a figure, OABC is a parallelogram. Prove by the analytic approach that OB2+AC2=2(OA2+OC2).

A: Concept: Pythagoras theorem states that sum of the squares of perpendicular and base is equal to…

Q: dx (6-x²)² 3

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Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

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Q: Let z(x, y) = Calculate дz მs дz Ət дz მs & 8x2 - 4y2 where X = 9s + 3t a y= ?х ду дх д' ' д дz Ət…

A: To find the partial derivatives

Q: Let z(x, y) Calculate дz მs дz - = = дz მ - 7x² - 9y2 where x - & дz St by first finding 8s + 5t & y…

A: To solve the following problem by finding the partial derivatives

Q: 1. Selected values of f, g, and their derivatives are given in the table. f(x) g(x) f'(x) a. b. x -3…

A: As we know that (i) if h(x)=f(x)·g(x) then h'(x)=f'(x)·g(x)+f(x)·g'(x)(ii) if j(x)=f(x)g(x) then…

Q: (D² -3D +2)y = (1+e×)-¹

A: D2-3D+2y=1+e-x-1 In this question we have to find the complementary function and particular…

Q: 2 Weight Gains 12. The graph at the left shows the weight of a baby and the weight of a puppy for…

A: Given graph:-

Q: Evaluate the limit using L'Hopital's rule 6 cos(7x)sec( – 3x) lim x →

A: limx→π26cos(-7x)sec(-3x)=limx→π26cos(-7x)cos(-3x)cosx=1secxit is 00 form use l'hospital rule

Q: III. Find the indicated derivative of each function a) 4+4r- b) w=- 4z +1 3u¹ + 2 u(+2) 1 x²-x+1 c)…

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Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: 4. b. a. 1. Selected values of f, g, and their derivatives are given in the table. f(x) 10 4 1 -2 -5…

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Q: The radius of a sphere is decreasing at a rate of 2 meters per minute. When the radius is 12 meters,…

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Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. 1. 4 f(x) dx…

A: Given both the circles are the semicircles a) ∫14f(x)dx =area between x = 1 to x = 4

Q: If Σ ak = 9 and Σ bk = 36, find the following values. k=1 k=1 n bk 36' n Στakı Σ Στακι n n n - Σ…

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Q: Put these numbers in order from greatest to  least. 2.3 3.18 2.6 2.8     Submit

A: See this solution in below.

Q: Evaluate the following integral in cylindrical coordinates. 6 √2 √√4-x² SS S e-x² - y² dy dx dz 0 0…

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Q: K Consider the function f(x) = - (a) lim f(x) = X→∞0 3 4x³ + 18x² + 18x lim f(x) = (a) Evaluate lim…

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Q: Evaluate the integral. 3 π 4л SS S y cos z dx dy dz 0 0 0 3 π 4л S S S y C 0 0 0 y cos z dx dy dz=

A: The given triple integral is y cosz, x fron 0 to 4pi, y from 0 to pi, z from 0 to 3.

Q: Section 2: Find sin and cos 0 if the terminal ray of angle 0 passes through the given point. 7.) (3,…

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: Find the critical point of the function: f(x, y) = 4 − 7x + 5x² + 5y + y² This critical point is a:…

A: (a).For a function f(x,y) the critical point is minimum if      D=∂2f∂x2∂2f∂y2- ∂2f∂x∂y2>0 and…

Q: Find the centroid of the lamina bounded by the x- and y-axes, the line x = 2, and the graph of y=e*.…

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Q: reference number of each value of t: 4pi/7 and -7pi/9

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Q: Which of the following is a second order linear differential equation? *

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Q: In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for…

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Q: Water is leaking out of an inverted conical tank at a rate of 11100 cubic centimeters per min at the…

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Q: Decide whether the series k=1 1 k7 + 3k + 6 converges.

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Q: You are testing the claim that the proportion of men who own cats is smaller than the proportion of…

A: Total people= 100+60=160

Q: I want to know why the absolute minumum value is -6.35.

A: Let's solve for absolute minimum value.

Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

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Q: A piece of cardboard measuring 14 inches by 12 inches is formed into a an open-top box by cuttin…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Identify the curve by transforming the given polar equation to rectangular equations. Y = 6 3 cos 0…

A: Given query is to find the curves.

Q: Test the series below for convergence using the Root Test. n=1 4n + 1 3n+3 f(n) The limit of the…

A: Given query is to apply root test.

Q: have a horizontal tangent? X = help (numbers) f(x) = 10x² + 15x² 60x 60

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