Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis horizontal with length 6; length of

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A: From the given graph, we have to find the slope of the tangent line at x=-7

Q: Question 1: 10 Find the standard form of the equation of the ellipse and give the location of its…

A: The objective is to find the standard form of the ellipse.

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Q: x = 5. Use the difference quotient (Newton's quotient) to find when the function f(x) = 2x² - 4x +…

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Q: Given sin a = 0.019 and cos 3 = 0.342 with both angles' terminal rays in Quadrant-I, find the…

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Q: Let f(z) = (9 sin z + 2 cosz)tan¹z

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Q: Find the general solution to the differential equation. y' = eyx2      PLEASE SHOW STEP BY STEP .

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Q: Using the Mean Value Theorem, how small can ƒ(21) be, given the conditions below? f(3) = 17 and…

A: The objective of the question is evaluate the smaller value for f(21 )with help of given condition.

Q: Which of the following direction field will represent the differentia equation y = y + 1

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Q: Let 14 f(x) = (3x²-5) 5 (- 5x² +9) ¹4 f'(x) = > Next Question

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Q: Find the domain and range of the function. (Enter your answers using interval notation.) g(x)=x²-5…

A: We will find the domain and range .

Q: Evaluate the following integrals: 1. dx 2. f6²+1²+6 dr 3. (3x - 5)(2x²-x+5)dx 4. Solve the initial…

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Q: Answer the following True or False: d 574 da 775 = O True False > Next Question

A: Solve the given

Q: A company reimburses its sales representatives $275 per day for lodging and meals plus 40€ per mile…

A: This question is related to linear equations, we will solve it using given information.

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Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

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Q: Find the general solution to the differential equation. dx dt = 3t2(x2 + 4) x =

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Q: Find an equation for the graph sketched below -5 -4 -3 -2 -1 f(x) = 8 6 5 3 2 1 -1 -2 -3 -4 -5 -6…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A company's marginal cost function is MC = 28x4/3 - 14x3/4 + 1, where x is the number of units, and…

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Q: 18) . Find the solution to the initial-value problem. y' = 2xy(1 + 8y), y(0) = −1 y =   PLEASE…

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Q: 6 5 + x²' a. Find the slope of the line tangent to its inverse function at the point P(1, 1): For…

A: We can answer the question as below.

Q: 7) .  Use separation of variables to find the general solution. (Use C for the constant of…

A: answer is in next step. please give a like !!

Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y+ 3? Select one:…

A: Given function:- fx,y=x2y+x2-9y+3

Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: To find the antiderivative F of f that satisfies the given condition. To check the answer by…

Q: Consider the function. f(x) = (1+x)³/x Estimate the following by evaluating fat x-values near O.…

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Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

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Q: Find the total change of f(x) between x = 0 and x = 2, when df = 4x² + 3x.

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Q: The graph of the function f is shown below. Which statement best describes the value of f'(-1)?…

A: Please see the below picture for detailed solution.

Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

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Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = y³ - 9x²y x = es, y = et…

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Q: 3. f(3x - 5)(2r² - x + 5)dx

A: Topic = Integration

Q: Given: tan a = 216, 3 5' cos ß = αε[0,π] sin ß<0 Find the numerical value of: 1. tan 2 B

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Q: raph on the image below and find the volume generated by revolving the area bounded by 9x^2 + 4y^2 =…

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Q: Find the limit. lim_ (x² + 2x) x--2

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Q: Find the Maclaurin series for f(x) = cos s (x³). (Use symbolic notation and fractions where needed.)…

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Q: Exercise 2 In this exercise you're going to find the linear approximation (or tangent plane, if you…

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Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(6x), y(0) = 1 y =        [PLEASE…

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Q: Find critical values of the function and state the domain. If they exist label critical values as a…

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Q: ہے 27

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Q: By power series, solve the ODE y' - 2xy = 0.

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Q: The following equation is given. Complete parts (a)-(c). x³-5x²-9x+45=0 a. List all rational roots…

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Q: Use implicit differentiation in finding y 1. x²³+y³ =18xy 2. x²y + xy² = 6

A: Given, x3+y3=18xyDifferentiate…

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Q: If you are given the rate of change of a function f, and an interval, what is the total change over…

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Q: If sin a = 0.806 and cos ß = 0.718 with both angles' terminal rays in Quadrant-I, find the…

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Q: a. y" = xy' - x

A: This is a problem related to differential equation. Please follow the procedure given below. As per…

Q: Work Problem 3 a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y)…

A: This is a problem related to maxima and minima. Please follow the procedure given below. As per…