Given the ellipse below, determine the coordinates of the two foci. Enter the coordinates as ordered pairs (x, y). x² 100 Provide your answer below: The coordinates of the two foci are and + +3023 36 = 1

Q: For the function f(x) = 5x - 5x, evaluate and simplify. f(x +h)-f(x) h

A: Given query is to perform indicated operation m

Q: gular poster is to contain 200 square inches of print. The margins at the top and bottom of the…

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Q: 10-9-8-7-6 -5 -43 -2 10 thow 4665 8 7 665 + 4 324 7 -3 -4 -5 -6 -7 -8 -9 10 7 ∞ 114 OI 6

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Q: The weight of a body, W, above the surface of the Earth varies inversely with the square of the…

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Q: Given the following equation of a circle in general form, find the equation in standard form by…

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Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: The side length of a square is measured to be 5 cm with an accuracy of 0.02 cm. Use differentials to…

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Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

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

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: 1 COS X sin² x O - cscricot - O sec x O tan x dx = cotx +C - tam x - C + C secx + C O csc x - cotx +…

A: First we need to simplify the given trigonometric ratio and then integrate it accordingly.

Q: f(t) = e-2t sin³ 3t

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Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: Solve the following recurrence relations: (a) an = 3an-1-2, ao = 0 (b) an 2an-1+(-1)", = ao = 2 (c)…

A: Since, you have posted question with subparts. As per guidelines, we are supposed to answer only…

Q: Two sides of a triangle are 16 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: let sides of a triangle are a and b let angle form by the sides = θlet A = area

Q: Graph the circle given below by moving the key points: (x - 2)² + (y + 2)² = 16 To graph the circle,…

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Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

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Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

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Q: the function y = 2x+3 x+2 do the following. Asymptotes ntervals of Increase or Decrease Local…

A: We will find the required

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: For the function f(x) = 4 cotx determine its stretching factor and phase shift, and then graph it…

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Q: 4) Evaluate 2 √x√x² +1 dx

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Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A: Let's find consumer surplus and producer surplus.

Q: Which of the following is NOT true about the exponential function y = a where a > 1? O Its range is…

A: The domain of exponential functions is all real numbers. The range is all real numbers greater than…

Q: 10) Does the sequence an = √n² + 3n - n converge or diverge? Explain

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Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x²-xy √x-√Y lim (x,y) → (3,3)

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Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: Question 18 U= Consider the indefinite integral fesz +3 6x a) This can be transformed into a basic…

A: Solved below

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: Consider the following functions. f(x) Find (f + g)(x). = g(x) = Find the domain of (f + g)(x).…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined.

Q: Show that the vector field F = (yz cos(x)ey sin(x), z sin(x)ey sin(x), ey sin(x)) is conservative.

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Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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Q: 7s +5 s² + 25 Is true or false? Select one: O True O False Give your reasons } = 7 cos (5t) + sin…

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Q: Using the inverse Laplace transform, we have s + 14 s(s+ 2) where c-¹{ L Select one: O f(t) = 7-6e-…

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Q: 1 cm?

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Q: Find the dimensions of the largest rectangle that can be inscribed in a circle of radius r.

A: Answer in step 2.

Q: Suppose a real number t determines the terminal point (a, b) on the unit circle as shown. (a,b) ▶ D…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. Use the fact…

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Q: Consider the following function: f(x) = −x4 + 8x2 + 2   Enter the x-values of any local minima,…

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Q: Find dy/dx by implicit differentiation. 7x²y + 4y²x = -1 dy/dx =

A: Given query is to find derivative.

Q: 3. Solve the following inequality: x³ + 2x²-3x x-4 ≤0

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Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

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Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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