(1+ a²). dy + xy = 0 dx

Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: Find two unit vectors orthogonal to a = (2, 5, 0) and b = (3,0, 5) Enter your answer so that the…

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Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: A= 4 B=5 30 - 2 Find the 5 Only) following (chease A+ B (2) 3A -B A 2B (inverse) (leng th or…

A: Solving

Q: A particle moves in a straight line with velocity 8 – 2t ft/s. Find the total displacement and total…

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Q: i) The area of the surface obtained by the rotating the curve y=V 16-x², -1s×<1 about the x-axis is

A: As per the company's guidelines, we are supposed to solve first question for you,  kindly repost the…

Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.3x3 +…

A: Find your answer below

Q: r(t) 12t i + 813/2 j + 3t² k, 0 < t<1

A: Here We have to find the length of the given curve.

Q: Use the simple interest formula to determine the missing value. p= $1475, r=?, t 2 years, i= $41.30…

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Q: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: X+1 Use a table to evaluate the limit: lim x(x- 1) • O -1 +cO

A: Use limit for finding the right answer.

Q: Find the Maclaurin series for the given function.

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Q: 1.92 Referring to the definition in Exercise 1.91, answer the following questions. a) Prove that…

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Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph…

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Q: (x+1)(x-7) (x - 1)(x + 7) Substitute the expression for y = on the right slde of the equaton and…

A: I am attaching image so that you understand each and every step. Note:- I suggest that this type of…

Q: Suppose that f(x) is a function with f(120) = 37 and f' (120) = 8. Estimate f(118.5). f(118.5) =

A: answer is in next step

Q: a) obtained by rotating the curve Sketch and find the area of the surface y =/2x + 3 for x E [2,4].…

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Q: 1. lim cot x sinx X- x-nt cotx sinx

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5   x)…

A: We have to find the marginal cost

Q: The graph of f is shown. State the signs of f'and f" on the interval (0, 2).

A: A function f(x) is increasing if              f '(x) &gt;0 The graph of the function f(x) is…

Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

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Q: Find the derivative of the function. 6x3 f(x) = + 8x2 Step 1 The function (x) can be simplified to…

A: The differentiation is given below.

Q: Σ (-1)^3" 29ח n = 1

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: 25 [x' sin xdx 27 |x' sin xdx 29 x’ sin xdx

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Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: a) Find the first and the eighty-fifth term of the sequence 11 16 21 16' 29' 42'55 the first term =…

A: We have to find the first term, 85th term and general term.

Q: If f(x) = 6 + 5x – 5a, find f'(- 3).

A: Topic = Derivative

Q: Let A(x) = So f(t) dt, with f(x) as in figure. 1.0 0.5 A(x) has a local minimum on (0, 6) at x =…

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Q: Use the chain rule to find the derivative of f(z) = 4/10z5 + 4x4 Type your answer without fractional…

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Q: 2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz) has a maximum or a…

A: Given problem:- (2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz)…

Q: Question 1 What is f' (a) ? O The inverse function of f at a O The average rate of change of f at a…

A: Given problem:- what is f'(a) ?

Q: Substitute c = 2 in the formula for slope as follows. %3D + Ax) - g ( lim Ax- 0 m = Ax

A: We have to substitute in the slope formula.

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Consider the following function. f(x) = |x - 3| %3D Find the derivative from the left at x = 3. If…

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Q: 1 4. ,2x+7

A: Note: As there are three different questions, according to policy of our company we will solve the…

Q: low graph the equation f(x) = 5x + 5 %3D

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Q: 1. Find the antiderivative of sin '(2.r)d.r.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

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Q: The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential…

A: Solved below

Q: The function 3 y = -e 5 is a particular solution for the nonhomogeneous differential equation y" + y…

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Q: Let P denote the plane in R3 containing the points (1, 2, 0), (3, 4, 1), and (−1, −2, 1). (a)  Find…

A: Given that P denote the plane in R3 containing the points (1,2,0) , (3,4,1) and (-1,-2,1) .

Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

A: Explanation of the answer is as follows

Q: dx 6. S e2x+1

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Q: Evaluate. (Be sure to check by differentiating!) 8 dx, x# - 8+ 9x J8+ 9x dx = (Type an exact answer.…

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Q: Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y =…

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