A system of equations is made up of an ellipse and a hyperbola. Part A: Create the equation of an ellipse centered at the origin, with a vertical major axis of 8 units and a minor axis of 6 units. Show your work.

Q: Evaluate the iterated integral by converting to polar coordinates. 16 - y² [[T Jo X 3y dx dy dr de =

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Q: 35. Find the exact value of the expression. (3)] Select the correct choice and fill in any answer…

A: We can answer the question as below.

Q: Find the average rate of change of the function over the given interval. f(t) = 6t² - 5, [1, 1.1]…

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Q: Solve for x: 5-6x+2 = 44 O O O 44 -2 -1.13 21/12/17 - 2 (4-2)--0.06 44 -2 -0.06 5 -1/10 In 44-21n 5)…

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Q: Let f(x) be defined as f(x) = ln(7x). Find f'(1). (If necessary, round the answer to three decimal…

A: I am attaching image so that you understand each and every step.

Q: Find d y/dx Select the correct answer. 07 01 07 07 sint cost Int + 1 sint cost Int + t sint cost Int…

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Q: Find dy dt dy dt at x = 3 if y = 5x² + 3 and dx dt 2.

A: Given:-y=5x2+3dxdt=2 at x=3To find : dydt

Q: H.w2: Compute √7, using Newton-Raphson method, Starting from (xo = 1.5) (take an accuracy 5D…

A: To find the value:

Q: Find the indefinite integral. 1- Step 1 1 1- 6x-x² dx

A: We can solve the given indefinite integral.

Q: Find the limit of the sequence using L'Hôpital's Rule. bn = 6   n ln  1 +  1 n   lim n→∞ bn =…

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Q: 3. Find an equation of the tangent plane to the surface z = 2xy + 4y xy-2x at the point (1,1,-6)

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Q: Question 12 Compute the following integrals: (a) fix√2x - Idr. (b) Sze-37 dz. Pay attention to…

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Q: 31. TT/2 alo csc t cot t dt 32. TT/3 [/csc²0 de

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Q: D Solve the initial value problem. dy dx -=xcos (6x²), y(0)= 7 x² OA. Y=2 y= B. Y= 1 12 1 sin…

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Q: Given the 5 relations below, select all that are not function. Remark: If A is a set, then A is…

A: Given data:- R= x,y : x ∈ ℤ ∧ y ∈ ℤ ∧ y2 = x .R= x,y : x ∈ Pℤ ∧ y ∈ ℤ ∧ y ∈ x .R= x,y : x ∈ Pℤ ∧ y ∈…

Q: Use integration by parts to solve. Simplify final answer and write in factored form. 2 (x)ln(cos(x))…

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Q: Suppose that ∞     n = 1an = 1, that ∞     n = 1bn = −1, that a1 = 2, and b1 = −3. Find the sum of…

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Q: Use the following information to answer the next question Two functions are shown. y = f(z) is the…

A: We have to find the values of b, c, d.

Q: Find all points where the function is discontinuous. Ay G OA. x = 4 OB. x= -7, x=4, and x = 6 OC. x=…

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Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x. 9/4 11/3 12/15 8/3 none…

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Q: Evaluate the integral using only methods taught in class, and simplify your answer. Do not ski…

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Q: Use linear approximation, i.e. the tangent line, to approximate 3.9³ as follows: Let f(x) = x³. The…

A: We have to approximate 3.93 using linear approximation, i.e. the tangent line. Given fx=x3. The…

Q: 6. next question Two functions are shown. y = f(z) is the function on the left and y=af[b(z-c)] +d…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Evaluate 3 [³ X x² - 1 dx. Note: If the answer is not an integer, round your answer to three decimal…

A: Given, ∫23xx2-1dx

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 8e* - 12 y(x) =

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Q: Evaluate 2 ²4x² 0 Answer: 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 1.Find the derivative of the following functions. 2 a) F(x) = ²* 5 √t³ + 8dt et -dt et +3 b) G(x)=…

A: Topic:- application of integration

Q: (c) Find the volume of the solid whose base is the region in the [xz-plane that is bounded by the…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Please refer to the image below

Q: A manufacturer of widgets has developed the following table showing the monthly profit P, in…

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Q: cm³ min A spherical snowball is melting at a rate of 8.1- How rapidly is the radius decreasing when…

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Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: Find the transform of the given functions by use of the table. f(t)= cos 3t-sin 3t

A: Lcos3t-sin3t=Lcos3t-Lsin3tUse Laplace Transform table:          Lcosat=ss2+a2,…

Q: Evaluate the line integral Levis where C is the half circle x² + y² = 1, y ≥ 0. x² + y² ds

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Q: Use the point on the unit circle to find the value of the three trigonometric functions below. V2 2…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 54. Solve the following triangle. B= 20°, C = 10°, b=4 A≈ (Simplify your answer.) a (Type an integer…

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Q: Find the definite integral of ƒ™/* cos 3x sin 5x dx. -π/4 Option 1: Option 2: Option 3: Option 4:…

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Q: 5) .  Find an explicit formula for the general term an of the sequence.  −1,   1 3, −  1 5,

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Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

A: To find solution of differential equation

Q: 2. In a lab, the production cost, in dollars, per day of producing xbottles of given by: C(x)=4329…

A: Topic:- application of derivatives    Note:- as per our guideline if more than one question uploaded…

Q: # The graph above represents f'(x). Which of the following graphs represents f(x)? A.

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Q: Let f(x) be defined as f(x) = 2x² - 4x + 7. Find f'(1). (If necessary, round the answer to three…

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Q: Find y" by implicit differentiation sin y + cos x = 1

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Q: Link has to travel to Hyrule castle. Link is currently in the Gerudo desert. The desert sand…

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Q: <press the number as a ratio of integers. 0.28 = = 0.28282828 ...

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Q: Integrate: S xdx 9+x4

A: Topic - Indefinite integral