Find equations of both the tangent lines to the ellipse x² +9y² = 81 that pass through the point (27, 3). (smaller slope) y = y = (larger slope)

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 4x +…

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Q: 1. Show that each alternating series converges 2 b. Σ(-1)" 3n+1 n=1 a. Σ(−1) n=1 n+1 n+1 n n² +1

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Q: Suppose that f is differentiable at x = 5. If f(5) = 1.4 and f'(5) = 3.6, then use the linear…

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Q: List the two critical numbers of the following function in increasing order. g(t) 50t2/3 +10+5/3 =

A: g(t)=50t23+10t53for critical numbers put  g'(t)=0d dt(tn)=ntn-1

Q: Use technology to evaluate the given expression. Take 1.8 -2.38 5.7 - [4 3] | c= [_ A = 44.4 012.7…

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Q: + √₁² 1(² the function f(x) = 3+√ consider the integral f(x) dz. a) Use the midpoint rule with n = 5…

A: The answer is in step 2.

Q: 4 Suppose that f(1) = 2, f(4) = 7, f '(1) = 3, f '(4) = 4, and f" is continuous. Find the value of…

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Q: Evaluate the given expression. Take 0 -1 ~-~-H 2 0 and C= 1 -1 A = = AT + 3CT 1 -1 1 1 -1 -1

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Q: 6.. Compute the indefinite integral dr 2+x² by making the standard trig substitution x=√√2 tane.…

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Q: The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto,…

A: a) yes Tucson plant capacity = 620 per week Toronto plant capacity = 410 per week Let number of…

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Q: Problem #5: (a) Express the complex number (-3 +41)³ in the form a + bi.

A: according to bartleby guide line we do only first part of multiple questions there for please re…

Q: Write out the first five terms of the sequence with, find its limit. Enter the following information…

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Q: The following function is an odd function. f(x) = 2x³ - x

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Q: Set up an integral to find the area A of the region enclosed between f(x) = 0.6x² +4 and g(x) = x…

A: Given

Q: value problem y" - 4y' +5y=0 with y(0) = 0, y'(0) = 8. then ny(1) is equal to:

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Q: II) Consider the two vectors u = and v=. a) Find |u| and |v|. b) Find u x v, u x vand u. v. c) Prove…

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Q: Evaluate the iterated integral by converting to polar coordinates. a a 2 - y² [° [²7= 7/7 - y² (2x +…

A: To find the given double integral.

Q: (a) Use the figure to find the value of Is f(x) dx = 2 [*₁ f(x) dx = -1 -2 3 -3 Y X 2 X [ co f(x)…

A: The graph is given

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Q: In tracking the propagation of a disease, a population can be divided into 3 groups: the portion…

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Q: Find all the x-coordinates (in increasing order) of the 2 points on the curve x²y² + xy = 2 where…

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Q: Identify the function. √4 - x O Quadratic O Cubic O Linear O The function is not linear, quadratic,…

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Q: w long does it take for $3925 to double if it is invested at 8 % compounded continuously? und your…

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Q: The following relation is a function. {(2, 3), (1, 1), (-2, 1), (3, 2)} True O False

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Q: 1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7]. -5 -4 -5 -3 N 2 3…

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Q: Verifying the remiander theorem: Write the function in the form f(x)=(x-k)q(x) + r(x) for the given…

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Q: 4. Differentiate the following expressions with respect to z (a) Insinh(r+ coshr) - (b) Insinh(r –…

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Q: By using the Fundamental Theorem of Calculus, the integration is equal to: O a. 2 O b. e³ In 3 In 1…

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Q: If f(x) = ln(x), then the estimation of the area under the curve y = f(x) between a=1 and b = 2 with…

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Q: If f(x) = 5 sin x + In(3x), find f '(x). f'(x) = Check that your answer is reasonable by comparing…

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Q: 100 ds (12s +.02s²)

A: Use substitution method

Q: 8 S 88 2 X (9+x9) dx

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Please note the two parts in this question are not related. (a) Find an equation of the tangent…

A: Note:- Since you asked multiple questions,As per our policy we can solve only firt question for you…

Q: 2. Use the integral test to determine the convergence or divergence of each of the following series…

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Q: Зл The current i in a certain electric circuit is i = 14 sin st. Write the first three terms of the…

A: i=14sinπtabout t=3π2formula of taylor series is i(t)=i(3π2)+i'(3π2)(t-3π2)+i''(3π2)2!(t-3π2)2

Q: Assume that the population of a city satisfies the logistic hypothesis: "The rate of change of…

A: Let the year 1960 is denoted by t=0.Therefore year 2000 is denoted by: t=40Let the population at…

Q: If f(x) = 5 + 2x - 3x², find f'(2).

A: To differentiate the given function f(x).

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Q: ¹/f F F. ds for the given vector field F and the oriented surface S. In other words, find the flux…

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Q: Consider the function f(x)=√x-2+3 for the domain [2, 00). Find f(x), where is the inverse of f. Also…

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Q: Let f(x,y)-In( is equal to 2. + y where a is a constant. Find the value of a, for which the…

A: Given query is to find the value of a.

Q: 31. [2³² √/3 + 2x − 2² de dx

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Q: et y = 5x² + 2x + 3. ind the differential dy when x = 5 and dx = ind the differential dy when x = 5…

A: Given query is to find differentials.

Q: Differentiate f(x) = (x+1) ³ (6−x) 2³/2x+1

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