Find the area of the ellipse cut from the plane z = 9x by the cylinder x² + y² = 16.

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: The solution is shown in step-2

Q: d. y" + 4y = 0; y(0) = 2, y'(0) = 2

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Q: Express f(x) in the form f(x)=(x-k)q (x) + r for the given value of k. f(x)=x³ +5x² + 9x+6, k = - 2

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Q: Solve the given differential equation by undetermined coefficients. y" - 6y' + 9y = 9x + 7 y(x) =

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Q: Given that f(x)=2^(x)-1 and g(x)=log_(3)(x+5) determine the x value (s) where f(x)=g(x).

A: Given,  f(x)=2^(x)-1          g(x)=log_(3)(x+5)and f(x) = g(x)calculation of value of x are as…

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: Given,f(x) = x3 and , a= 2 ; b= 4

Q: If f(x) = f'(x) = f'(4) = 6x² + 3x +5 √I then:

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Q: Establish the limit of the sequence lim (3-2)

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Q: Solve the given differential equation by undetermined coefficients. y"-y'- + y(x) = y = = 7+ex/2

A: The solution is shown in step-2

Q: . Show that the line connecting the planes x + 2y - 2z = 5 and 5x - 2y - z = 0 is parallel to he…

A: Explaination of the answer is as follows

Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related…

A: The equation  And 21000 cartoons of eggs available and the price is falling at the rate of…

Q: Find parametric equations of the line that contains the point P(-3,2,0) and intersects the line L:…

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Q: 1. Calculate the distance from the point to the line: (2,2,0); x = -t, y = t, z = -1 + t

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Q: What is the area under the graph of y = x³ + 3 for the interval [1, 3]? 13 26 32 52 64

A: Given dataEquation of graph,Interval

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 p= 1 + 2 converges…

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Q: d) Find x and present answer to 2d.p. 1₁ X + 6 3 9 w pos 3 = X 9

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: The given sequence is,

Q: Find the following limits, if they exist. If they do not, state whether they are infinite limits or…

A: We have to find the limits of

Q: Evaluate the derivative F'(x) of the function F(x) defined by: 1 F(x) = =S₁₂ VITES √1+t³ dt

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Q: c. lim X-2 3x²-√9x4+x+2 x³+2x²

A: Given

Q: (¹) Find 3 a g the followings interation by trignometric substitution 1 S-S x² 54-x² S 1 √4x²²+1 dx.…

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Q: Approximate the area of the triangle to the nearest tenth. a = 36°, y = 50°, b = 78.2 1380.1 1388.4…

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Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -6, y'(0) = 1

A: The solution is shown in step-2

Q: lim (1 – 3x)¹/(2x) x→0 1 1 √e 1 e 1 eve

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Q: NOG 5 0 2 e of the following limit? f(f'(2x - 3)) lim x3 3x² 10x +3 1 74

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Q: Use the intermediate value theorem to show that the polynomial function has a real zero between the…

A: Using intermediate value theorem, we can show that f(x) has a real root in given interval.

Q: Calculate the line integral of F = (-9y+x) 7+2x7 along a quarter of a circle centered at the origin,…

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Q: Find an antiderivative of the given function. 31. 18x^2 + 16x + 7 32. 2/5x^7/5

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Q: Consider the following. x = sin(t), y = CSc(t), 0<t<π/2 (a) Eliminate the parameter to find a…

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Q: If 85x + 9 = 46, solve for x. X =

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Q: Find the area of the shaded region below. Area = x=y²-2 y=-1 YA y = 1 x = ex x

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Q: Solve the given differential equation by undetermined coefficients. y" + 5y' + 4y = 12 y(x) =

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Q: +10+ 8 6 4- 2 -6-5-4-3-2-1 ON -4 -6 8 +10+ N 2 3 4 5 6 The function graphed above is: Concave up on…

A: Given the function f(x)" data-mce-style="display: inline-block; line-height: 0; text-indent: 0px;…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 9x - y lim (x, y) (8,8) 81x²…

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Q: Consider the equation 5x²+16x = 625X-8 Enter the number of solutions of the above equation.…

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Q: The graph of g(x) is given below. Use this graph to determine the value of the following limit. ♡ 15…

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Q: Make a sign diagram for the derivative of the function. f(x) = x² + 4x³8x² +62 f'(x) v 4 X 0 X…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: The limit of |x|/x as x approaches 0 is 1.

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Q: Find the point(s) at which the given function equals its average value on the given interval. f(x)…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Graph

Q: Which set of numbers could be the lengths of the sides of a triangle? A. {3,6,9} B. (6,7,13) OC.…

A: We are required to:

Q: 9. y" - y' - 2y = 4x²; y(0) = 1, y'(0) = 4

A: The given differential equation is,Note that as per the rules, we are supposed to answer the first…

Q: Evaluate each of the following limits. If you need to use ∞ or -∞, enter INFINITY or -INFINITY,…

A: Here we have to evaluate the limits of the following parts. As per Bartleby Q&amp;A guidelines, we…

Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y = √…

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Q: (3) Find 5 the followings interation by Fraction partial [x²+x+3 dx x²4++ 6x² +9 (b) s X+2…

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Q: I'm not sure that I fully understand the tan(x) discontinuity. Could you expand on that?

A: Given the function is:y=f(x)=(xtanx)/(x²+1)Here,the numerator is: xtanxand the denominator is: x2+1

Q: Let ƒ (2) = {22-6 f 6-x-x² if x ≤ 1 if x > 1 2x Calculate the following limits. Enter "DNE" if the…

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Q: Solve the initial value problem. 36. dy/dx = 1x^3 + x,  x > 0;  y(1) = 1 37. ds/dt = cos t - sin t,…

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Q: A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study…

A: A veterinarian prepare a diet as follows,each serving should no larger than 8 oz.Must contain at…