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Q: 10. f(x) = cos (2x)e*²-1

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Q: The differential equation / (xy e ) = y²ež + 2? has a solution of the form f(x, y) = ln |æ| + C. Fin...

A: Given problem:- The differential equation   y' (x y e² ) = y²ey/x + x²   has a solution of the form ...

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A: topic - implicit differentiation

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Q: Consider the following planes. 5x + 2y - z = 22 x - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: Consider the following. y = x5 + 6x5 (a) Find the interval(s) of increase. O (-6, ) 0(-6, 6) ㅇ (-8, ...

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Q: 23. Evaluate /// p² dV, where E is the solid that lies within the cylinder a² + y? = 1, above the pl...

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Q: Next, we integrate the resulting integral with respect to u using the Power Rule. (Remember the cons...

A: Question is solved.

Q: Find the indicated derivative and simplify. 9x - 7 y' for y = x+6x y' =

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Q: armer finds that if she plants 90 trees per acre, each tree will yield 75 bushels of fruit. She esti...

A: Given query is to find the number of tree per acre to maximize the harvest.

Q: Y (x2 + 2x + 1)+ V1-y = 0 has a solution of the form g(y) + f(x) = C. Find the constant C which sati...

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Q: P that is orthogonal to the vector AB. . B e distance from the point P(-3,1,9) В(-2,3, —4).

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Q: Consider the function f(x) = 4z 5x on the interval- 2, 2. Find the average or mean slope of the func...

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Q: (b) symmetric equations 4- X z + 2 = y = 22 15 4 - x - Y + 5 22 27 z + 2 !! 15 X-4 y-5 20 27 15 z + ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Find the directiona f(x, y) = x³ – y³, P(4, 3), v = (i + j)

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Q: Solve: 5|x – 1| + 4 > 14 The answer has form: O A B Where A = %3D and B = %3D

A: If x>a then x<-a or x>a .

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: Given the function Y(s) (s - 5)4 Use the Laplace Transform table to convert this function into fit)....

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Q: III. Derive the following HCA 1. The unity rule: = 18 dx du dx 2. The quotient rule: xp dx

A: f(x)=xDerivative formula:f'(x)=limh→0 f(x+h)-f(x)hf'(x)=limh→0 (x+h)-(x)hf'(x)=limh→0 hhf'(x)=1ddxf(...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: function D = x* - 18x + 12 a derivative of ) = 4x – 36x = 4x(x? – 9) - 9) |

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Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next...

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Q: 1. A piece of string is wrapped three times around an empty paper towel tube. The tube is 9 in long ...

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: (d) DNE (e) 2. Calculate each of the following i: (a)/ sec2 (x) dx (b) 3 (d) In(x) dr (e) 0. 1. dx 4...

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Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: a) Given vectors, u=-7i-4j-2k,v=4j+4kWe know that projection of u on to v is u.vvv^=(-7i-4j-2k)(4j+4...

Q: A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of...

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Q: Given the piecewise function defined below, determine the value of f(x)dr in simplest form. 3x2 for ...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: y² – 2x ry? dy = 0; y(-1)

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Q: Find the value of x that intersect to the given equation.. 2x1 + 5x2 = 16 3x1 + x2 = 11

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Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the fu...

A: Given query is to find the average value of the function g(x) over the indicated interval.

Q: Given the following differential equation and its initial conditions y" - y' - 2y -0 with y(0) - -2 ...

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Q: Given vectors u = (-4, 7) and v (3, –2), find the difference v u and - epresent the difference graph...

A: Vector

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: (40%) Clasifica las ecuaciones Tipo Homogénea Orden Linealidad P'y " + 2xy" + 20.xy' – 78y = 0 ylA) ...

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Q: O square centimeters of materíal is available to make a box with a square base and an open top, find...

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Q: Use induction to prove: for any integer n 2 0, 2. 3 = 3"+1 - 1. %3D j=0 Base case 2.3 = j= n = , 3n+...

A: for any integer n≥0,∑j=0n2. 3j=3n+1-1

Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

A: Given 

Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four ...

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Q: Sketch a graph of the function. x – 2 if a 1 Given the piecewise definition f(x) Draw the graph of ...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: R be the region bounded by the functions f(x) = -4x2 + 10 and :) = 4x +2 as shown in the diagram bel...

A: Given query is to find the are bound by the curves.

Q: Use the alternative form of the dot product to find u · V. ||u|| = 35, ||v|| = 40, and the angle bet...

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Q: A What is the geometric interpretotron d the derivative f'(a )? O Compute im 2-x 人フ1

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Q: 4t The concentration C in milligrams per milliliter (mg/ml) of a certain drug in a person's blood-st...

A: Given that Radius of circle increases from 2.00 to 2.01 mSolution :Area of circle =πr2  A1=π2.002=4π...