dx 10. J V2x2-1

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: An equilateral triangle has a side length of 1.4x+ 2 inches. A regular hexagon has a side length of ...

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Q: Find domain, range, intercepts, symmetry, and asymptotes X-4 %3D | y = f(x) = x+3

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D X...

A: We can find the tangent equation and normal equation as below.

Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: Given a function value of an acute angle, find the other five trigonometric function values. csc e =...

A: topic - trigonometric functions

Q: 6 Suppose that fis integrable, and that f(z)dz = 3 and f(z)dz = 8. Find the value of the following d...

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Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) = -bx...

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: 4. The function f is defined for all real numbers. What is a reasonable estimate for lim f(x)? a. -5...

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Q: Direction: Find the derivative of the function. Select one: 의 o o

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

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Q: Find an equation of the tangent line to the curve y=3arccos(x/2) at the point (1, pi)

A: Given that equation y=3cos-1x2To find : equation of tangent line at point 1,πSolution :equation of t...

Q: Given the differential equation y" - 6y' 16y = 5x 2 Find the Characteristic Solution for the Left Si...

A: We have to find out the characteristics solution

Q: 14) Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x...

A: Let's find. 

Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x...

A: We have to find out the point of intersection

Q: 1. Using the table of values, estimate lim 3x x-2 а. 3 b. 6 с. 2 d. 5 2. Using the table of values, ...

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Q: uppose that yi (x) =x² denotes a nontrivial solution of a homogeneous linear econd-order differentia...

A: Put y1 =x2 then solve for y2 

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

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Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: A coroner arives at a murder scene at 10 p.m. She finds the temperature of the body to be 86.7°F. Sh...

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Q: 2. For each of the following statements, determine if they are true or false. In either situation, e...

A: Find your answer below 

Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

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Q: Find k such that the following matrix M is singular. 3 -3 M = 3 5 -6 -1 + k -16 21 |

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Q: dy (5) (2х — у) — 2у — х dx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: a) Evaluate the Riemann sum for f(x) = 3.x² – 6x+1, taking the sample points to be right point and a...

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Q: Sand is poured onto a surface at 11 cm³/sec, forming a con- ical pile whose base diameter is always ...

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval (...

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Q: Evaluate e dV where E is enclosed by the paraboloid z = 5 + x? + y?, the cylinder x? + y? 5, and the...

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Q: Using differentiation formulas, write the derivative with respect to x of the following. Find the su...

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Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: 4x2 + 4y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 11....

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Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the ...

A: Solution: a) upper limit after 4 hours

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

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Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

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Q: c) limx'e*

A: We apply L-hospital's Rule to find limit.

Q: 16 13. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the t...

A: Given that: r=165+3cosθ

Q: f(x) = x² + /7 – x, a=4

A: We have sove limit and showing function

Q: A person's Body Mass Index is I = ", where W is the body weight (in kilograms) and H is the body hei...

A: Given Body mass Index   I=WH2

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

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Q: c) f (x) = -(0.75)4x+2 – 5

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Q: A printing press has a roller 19 inches in diameter. A point on the roller's surface moves at a spee...

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Q: If 2 ak = 6 and E bk = 36, find the following values. %3D k= 1 k= 1 n bk E 5ak. E 36 k= 1 E (ax + bx...

A: ∑k=1nak=6 and ∑k=1nbk=36

Q: Determine each feature of the graph of the given function. За — 6 x² – 6x + 8 f (x) = Horizontal Asy...

A: Given: fx=3x-6x2-6x+8 (a). As we know that, To calculate the horizontal asymptotes, solve the limit ...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

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Q: Find the point on the graph of z = 3x2 – 3y? at which vector n = (48, –60, –2) is normal to the tang...

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Q: 16. The first derivative of the function f is given by f'(x) = 3x* – 12x'. What are the x-coordinate...

A: Given: first derivative of a function as f'(x)=3x4-12x3To identify the points of inflection of x-coo...

Q: Given that y = 3t^3 + 1 and x = t^2 - 5. Find y' when x = 4. Express your answer in whole number.

A: Given that: y=3t3+1x=t2-5