Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0), (4, 0) and passing through the point (3,1) (A 20 B) y? 1 18 2 24 8 x2. y? 1 22

Q: The functions f, g, and h are defined as follows. f(x) = - 6-4x g(x) = -5|-5+x| h(x) =-4+/x-3 Find f...

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Q: If xy + 5e = 5e, find the value of y" at the point where x = 0. y" = Need Help? Watch It Read It

A: xy+5ey= 5e. Find y" at x= 0 

Q: y2)dx = xdy when X2 ; Y- 3

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the r...

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Q: Given: sin A= { and A is in the second quadrant; evaluate the following expression. cos 20 = %3D -7/...

A: cos2θ = 1-2sin2θ

Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: For each item, graph the function f (x). Use the graph to estimate lim f(x), lim f(x), and lim f(x)....

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: Consider you are given the following 10 decimals: .3 .75 .8 .650 .15 .2 .35 .45 .400 .350 Use each d...

A: This question is based on hit and trial.

Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: 4.

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Q: 2. Verify that the infinite series converges 00 п a) E (:)" 6 n=0 00 n b) Σ-0. 6" n=0

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Q: Compute the limit of the nth term and use it to explain why the series is divergent. +00 2" – 1 2 2n...

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Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos() -2 <ys ...

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the figure belo...

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Q: Prove the following identities. sin 2x csc x =

A: Topic:- trigonometry

Q: A. (1+ 4xy – 4x² y) dx + (x² – æ³) dy = 0 | - B. (y – sin? x) da + sin æ dy = 0

A: A detailed solution is given below 

Q: ce the appropriate limit laws and theorems to determine the limit of the sequence. 12" C, = n! se sy...

A: Please refer to the image below

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,...

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: .2 e cos? y = 2+5x+1)3 %3D

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Q: 8) 4xy dy-(y²t1)dx= 0 Y(2)= | ナ

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: Consider the following function and point. f(x) = x3 + x + 9; (-2, -1) %3D (a) Find an equation of t...

A: We can find the equation of tangent line to the graph as below.

Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A...

A: The given hyperbola equation,        4y2-x2=4

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

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Q: 3+ 4x2- -9х-36 3. у 3 4x2+28х+48

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Q: Part 2 There is an antenna on the top of a building. From a location 300 feet from the base of the b...

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Q: equation of the curve at every point of which the tangent line has a slope of -e-².

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Q: Problem 6 Consider a market that sells individual marbles. Qs=2+2*P Qd=11-P   A $3 tax on consumers ...

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Q: Using the method of undetermined coefficients, write the form of the assumed particular solution for...

A: Given: y"+2y'+y=x2e-x Auxiliary equation are,  m2+2m+1=0 (m+1)2=0 m=-1,-1

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

Q: Problem 13: Graph the function below. State the range and domain using (x+1 if -9 3 if -3<x<3 if g(x...

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Q: Find the Taylor polynomials of orders n = 0,1,2,3 , and 4 about x = xo, and then find the nth Taylor...

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Q: 1. Evaluate: e 3z I = dz (ez + e5z)2

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Q: Find the radius of convergence and the interval of convergence. k2 + 81 k=1 Radius of convergence: I...

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Q: I cot2 r dx

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Q: Refer to question below. Evaluate d(cos x – x)

A: Anti derivative of derivative .

Q: Evaluate the iterated integral | (a+ 2y) dyda. Give your answer correct to 2 decimal places.

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Q: (x + 4)2. (v- 1)² 1? 36 What are the lengths of the major and minor axes of 16 A Major: 36; Minor: 1...

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Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

A: The objective is to determine if the limit exists or not. 

Q: Write the equation of a conic given by 8x² + 8y² – 16x + 48y+ 10 =0 in standard form. A (x- 1)² + (y...

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Q: (a) Find (g/f)( x) and (fog)(x) for the functions f(x) = x2+ x and g(x) = - 2x+3. 1 a) g/f: fog: (b)...

A: Given f(x) = x2+xg(x) = -2x+3we know that fg(x) = f(x)g(x)and f∘gx = f(g(x))

Q: [f(x)]", where n is a Recall the general power rule, which states that if the function f is differen...

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Q: sin x 5 2 0, cos x

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Q: Relation 1 Relation 2 Domain Range Domain Range j y O Function O Not a function O Function ONot a fu...

A: A relation R from A to B is a function if each value of A is mapped to only one value of B.

Q: 3 da IV9z2-4 o+ (z등) o 음sec-l (금) + C ○ 을sin-1 (을피) + C 0 3sin-1 (을2) +C O 3 sec -1. (을띠) + C

A: This question is based on indefinite integral.

Q: cot e tan e cot?0 O cot?e tan?e 01

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Sse sech²xtanh²x dx 2.

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