Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2. + y2 +z 2 > 16 All points on the surface of the cylinder with radius 4 All points outside the cylinder with radius 4 All points in space All points outside the sphere of radius 4

Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: Го 6. Show that the matrix does not have an LU decomposition by considering the product [l11 0 [121 ...

A: Given :0110

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

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Q: d²y dx dy =-9y+ 7e³* + A 3x 6. dx

A: Topic:- differential equations

Q: use the rules of differentiation to find fhe derivative. g(x) = 2x² - 3x +1

A: Given query is to find the derivative of the expression.

Q: Let a 1+Vn" (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it d...

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Q: Answer the following questions about the function whose derivative is f'(x) = Px-4) x# - 5. x+5 a. W...

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Q: ind the general solution to the differential equation. dx dt = 3t2(x2 + 25) x =

A: topic- differential equations

Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 4 += +- ...

A: Check series convergent or divergent. By using comparision test.

Q: Find the equations of a Tangent line in a given curve to the given value of x. * -1 y =tan x, x = 1

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Q: The graph of the equation 2x² + 3y² + 12x – 12y + F = 0 is ether an ellipse, a point or an empty set...

A: In this question we have to find the condition for F.

Q: Consider the following relation. y = -4x + 2 Step 1 of 2: Find four points contained in the inverse....

A: The four points contained in the inverse are

Q: Let y(x) be the solution of y' = y − 6x such that y(2) = 2. Using a step size of 0.5, set y0 = y...

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Q: Suppose that x = x(t) and y = y(t) are both functions of t. If x2 + y2 = 25, and dx = 2 when x = 3 a...

A: Given that x=x(t) and y=y(t) are both functions of t . If  x2+y2=25           ..(1) Differentiate eq...

Q: Given f (x)= (x^2) (e^-x) , find the relative maximum and relative minimum point respectively.

A: We will use derivative to find maximum and minimum value for the function. If f(x) is a function. Th...

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative tes...

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

Q: (а) dy/dat = sin 2x. (b) dx + e dy = 0. (с) zdy/dx — у. (d) cosec y dx + sec2 x dy = 0. dP (e) dt Р-...

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Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x- 3...

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at 

Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

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Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

A: According to guidelines we solve only first question. 

Q: Given that the volume of a right circular cone is h V = n r" 3' where r is the radius of the circula...

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Q: evaluate the derivative of 3x^2+y^2x=9

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Q: ne demand function for a company's product is p = 24e-0.59 where g is measured in thousands of units...

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Q: Consider the following. x = 7 sin(6?),    y = 7 cos(6?),    0 ≤ ? ≤ pi/3 (a) Eliminate the parameter...

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Q: Evaluate the double integral x sin(x + y) dA where R3 [0, 풍] x [0, 플] %3D

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Q: Write the equation of the line tangent to the graph of r = 5 cos (40) when 0

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Q: Write in radical form. Do not simplify. ーxー7/6 Need Help? Read It Watch It

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Q: V1-(6x2+7x–2)² 3 1-(6æ²+7x-2)²

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Q: Find the Maclaurin series of the function f(x) = 9x³3 – 10a? – 3x + 10. f(x) = > Cnx" n=0 Determine ...

A: Let's find. 

Q: Determine the function f satisfying the given conditions. f'(x) = ex/5 f (0) = 15 f (x) = A eBx + C ...

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Q: Profiles Tab Window Thu Mar 10 7:17 PM View Bookmarks Chrome File Edit History T Calendar XN Spring ...

A: The given function f(x)=-1+2x-x3

Q: Find the points on the sphere x2+y +z = 109 where f(x,y,z) = 6x + 8y + 3z has its maximum and minimu...

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Q: A price p (in dollars) and demand x (in items) for a product are related by 2x - 5xp + 50p2 = 21,200...

A: We need to find rate of change of demand.

Q: The level curve of the surface f(x,y) = x² + y2 + 4x -10y + 28 corresponding to c is a circle of rad...

A: We need to find equation of circle.

Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: What is the difference between a relative extremum and an absolute extremum? Choose the correct answ...

A: The difference between a relative extremum and an absolute extremum is -  

Q: The number of ways a student can wear his 6 shirts, 4 pants and 2 shoes.

A: The number of ways that a student can wart his 6 shirts, 4 pants and 2 shoes is equal to the number ...

Q: A company estimates that it will sell N(x) units of a product after spending $x thousand on advertis...

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Q: Compute the partial sums S2, S4, and S6. 8 8 + 22 S2 = %3D S4 = S6 =

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Q: ソ= cos 0 +1

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Q: Find the Curvature of the space curve r (t) = t i + t? j + -2 t3 k at t = Enter an integer or a full...

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Q: 2. The sum of two numbers is 52. If the ratio of one number increase by 2 to the other number decrea...

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Q: 8) y=-1 +2cos 0 3 37 37C 2 2.

A: Given query is to graph the function.

Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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Q: Let F(x,y) = 2x + 3y . If (x , y) changes from ( 4,7) to ( 6 , 10) , find A F and dF. Enter AF in Bl...

A: To solve the following problem

Q: use implicit differentiation to find ay for x°-xy+y°=4.

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Q: if g(x)=f(x)-h(x) find the derivative of g(x)

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Q: Let F(x , y, z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of si...

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