Find the points on the ellipse 3x² + y² = 3 that are farthest away from the point (1, 0).

Q: Let log(A)= 10, log(B)=1, and log(C)=-10. Evaluate the following logarithms using logarithmic…

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Q: Find the distance from the point (5,-6,-8) to the plane x - y - 5z = - 37

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Q: Consider the initial value problem given below. 3 dy y dx x += x³y²₁ y(1.2) = 1.8 =X The solution to…

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

A: Given matrix: 31186 Let’s call the matrix A A= 31186

Q: In each of the following, find the ellipse’s eccentricity, foci and directrices. i. 16x2+ 25y2=400…

A: Answer: As per the guidelines we can solve only first questions, so post other questions separately,…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: An object is put outside on a cold day at time t = 0. Its temperature, H = f(t), in °C, is graphed…

A: Given H=f(t) it represent the temperature at time t

Q: Find the equation of the circle shown. 3 2 1 -1 -1 -2 -3 -4 -5 2 3 4 7 q

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Q: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s…

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Q: Determine whether the statement is true or false. If lim_ an = 0, then an is convergent. n → ∞…

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Q: Expand the function 6+7x in a power series Σ anx" with center c = 0. Find anx". n=0 (Express numbers…

A: To solve the following problem and find the interval of convergence

Q: Evaluate the difference quotient for f(x) = x² + 2x - 4 by completing the following steps: Make sure…

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Q: For the function f(x)=3x³ - 2x²+2x+8, find f'(x). Then find f''(0) and f''(5). f''(x) = 0 www

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Q: 4. (a) Evaluate by interpreting it in terms of areas. Show the graph! (b) [v √16-x² dx 9 √² (² + √8…

A: solution are given below..

Q: (d) Use the given information to write an equation that relates the variables x and y. (e) Use part…

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Q: 9. ₁¹dx = exz A. B. C. 1-e 2e e-1 2e 1 - 2e 1+e D.- E. e+1 F. None of these. 2e 2e 10. fx²e-3x dx =

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Q: Prove by strong induction that root of 2 is irrational.

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Q: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising…

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Q: Consider the following function. f(x) = 4x³ + 3x² - 6x + 4 (a) Find the intervals on which f is…

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

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Q: Find 1 x²√x² + 16 J Solution Let x = 4 tan(0), - Thus, we have sec(0) tan²(0) dx. -<6 2 = << . Then…

A: According to question,Given Integral,∫1x2x2+16dx

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x = 2…

A: Given query is to find indicated derivative.

Q: Find all the second-order partial derivatives of the following function. h(x,y)=2xe + 5y +9 2²h 2²h…

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Q: 4 The volume of a cantaloupe is given by V = The radius is growing at the rate of 0.6 cm/week, at a…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, es ["e-√y oy dy

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Q: Evaluate the integral. (Use C for the constant of integration.) [3t 3t sin(t) cos(t) dt

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Q: Find the derivative of the following function. Factor and simplify so that no negative or fractional…

A: See below the answer and calculation

Q: Find the triple integral ff xydV by converting to cylindrical coordinates. E Assume that E is the…

A: To convert to cylindrical coordinates, we need to express x and y in terms of r and θ, where r is…

Q: Find the distance from the point (-4,-7,-5) to the line a(t) = ( − 4, 5, 2)t + (2, 4, — 5)

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Q: Evaluate the integrals of the following C1i. f(Se-x+3x, (x0)

A: according to bartleby guide line we do only first part (i)…

Q: Find the volume under the graph of the function f(x, y) = 10x²y over the region shown in the figure…

A: Consider the region

Q: According to the Extreme Value Theorem, if a function f is not continuous on (a, b), then f does not…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: NOTE: Refresh your page if you can't see any equations. the given DE is  compare this DE with so…

Q: Find the 62th derivative of the function f(x) = cos(x). The answer is function Panch Peghama CO200…

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Q: Evaluate the integral. (Use C for the constant of integration.) s (arcsin(x))² dx

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Q: dy Assume x and y are functions of t. Evaluate for the following. dt dy dt 3 y³ = 2x³ + 10; || dx dt…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Use the table to evaluate the following limits: 8 f(x) -27 8.9 -30.6 8.99 9 9.01 9.1 10 -30.96 13…

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Q: Determine if the following statements are true or false. (a) If a function is differentiable, then…

A: Given query is to find the statement i true or false

Q: Find the minimum and maximum values of f(x, y) = x²y4+1 subject to the constraint x² + 2y² = 6.…

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Q: Consider the function f(x) = ¹ on the interval [3, 10].

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Q: Consider the equation. 3 f(x) = at (1, 3) (a) Find an equation for the tangent line to the graph of…

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Q: If f and g are two functions that are differentiable at every x in an interval (a, b), and if ƒ'(x)…

A: If f and g are two functions that are differentiable at every x in an interval (a, b), and if f'(x)=…

Q: Express the limit as a definite integral on the given interval. Do not evaluate the integral. (b)…

A: Given:- limn→∞∑i=1nsinπin·πn

Q: Estimate I I ≈ - 10/² (a) Left endpoints. = I≈ (b) Right endpoints. x sin(x) dx using the partition…

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Q: Find d & (√x) = dx

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Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

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Q: Problem 2 Consider the function f(x)=1 of 0<x< 1 and f(x)=0 if 1 < x < 4. Find the coefficients an…

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Q: 4 M t 1 C- ts- 2- 1- o 14 T . E- T о O f(x)=-=(x-2)²-2

A: Given query is to find the graph of the function.

Q: Use the inverse of the 2x2 matrix 1  a 0  1 to compute the inverse of the 3x3 matrix 1  a  0  0  1…

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