Definition of first order, explicit ODE and the definition of it s solution.

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: The human population of Earth in July 2014 was 7.295 billion, and was expected to grow by about…

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Q: Find all points where the given function has any local extrema. Identify any saddle points. f(x,y) =…

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y- axis,…

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

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Q: Set up the double integral that will find the volume of a solid bounded by z = 1- y²x² and the xy-…

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Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

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Q: e each limit. If the limit does not exist, e 2 3 4 5 →

A: We have to find the following conditions according to the given information

Q: A company manufactures two products, A and B. If x is the number of thousands of units of A and y is…

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Q: S 2sin(4x +9)dx

A: Given query is to find the integral.

Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: Find the volume of the sould generated by revolving the area bounded by the _given curves about the…

A: Let's find volume of solid (V) = ?

Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine at…

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Q: y-coordinate of the centroid of the plane region bounde 22 What is the y = 2x + 1, x + y = 7, and x…

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Q: 4. The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: answer is in next step.  please give a like !!!!

Q: 120 5+sin 0 5. (a) Find the constants a,b,c for the conic r=- Sketch the conic.

A: Concept: The standard form of the polar cone r=a(1-e2)1±esinθ Here e is the eccentricity When the…

Q: 2. I cosh ix dx

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: topic- quadratic equations and derivatives

Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

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Q: Consider the general solution of a differential equation is y=C₁x-C₂ ln x² find C₁ and C₂ when…

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Q: If tant=−3/4 and π/2 <t< π, find sin, cost, sect, csct, cott.   Enter the exact answers.   sint=…

A: We have to find value

Q: 1 вхось xа(1 — x)bdx - = 6xº1 Bx®1 - x)dx /0

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Q: = ²/²/² ( e ² + e^²^²) 3. Obtain the Maclaurin series for cosh x using the fact that cosh x =

A: Given the function,   cosh x=12ex+e-x

Q: Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *

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Q: III. Let f(x) = e2 sinz 2. Find the absolute extremum values of f on the interval [

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Q: Solve the following matrix equation for a, b, c, and d. a-b b + c |-|8 8 3 88 3d+c 2a - 4d a = b =…

A: We will find the value of a ,b ,c ,d by solving the given matrix equation in the following step.

Q: Nxx X-√√x 3 olx

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Q: 8. A company is selling calculators for $100 each. How many should it sell to break even if it costs…

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Q: What is the volume in cubic units of the solid formed when the region. bounded by y = x^2 + 1, y-…

A: Given :y=x2 + 1, y-axis , x-axis and x=2 is revoloved about x=-2.Formula :Volume in…

Q: Life expectancy in the United States has been rising since the nineteenth century. The table shows…

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Q: For the function f(x,y) = 3 x³ + 5y4 5 4 x +y find f, fy, f(-1,1), and f,(-3,2).

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Q: 3. coth 3x dx

A: To evaluate the integral.

Q: ngles, and

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Q: Analyze and sketch the graph of the function. Determine the critical numbers, inter- vals for which…

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Q: 5. Find the Maclaurin Series for f(x) = e²^²+ex 2

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Q: Find fx (x,y) and fy(x,y). Then, find fx(-1,-4) and fy (-3,2). 32 f(x,y) = 4x³y² fx(x,y) =

A: We have to find partial derivatives of Given function.

Q: (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a…

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Q: V. Directions: Find the extreme values of the given functions within the indicate 42-44. ƒ (x) = x²…

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Q: Suppose that the number of crates of an agricultural product is given by 11xy-0.0002x² - 5y Z= 0.03x…

A: Suppose that the number of crates of an agricultural product is given by z=11xy-0.0002x2-5y0.03x+4y…

Q: Perform the integration. TT 3 sec³x tan x dx 2 + sec x 0

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Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Find the absolute extremum values of f(x) = xe² xez-2x² 3 on the interval [0, 1]. (Note: ez ≈ 0.22)

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Q: S 1 V1 + v 2

A: We have to find integral

Q: Use implicit differentiation to find ∂z/∂x when xz+z2=yxz+z2=y

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Q: 6. Find the area bounded by y= In x, y = 0 and x = e.

A: Area of a curve y=f(x) bounded by x=a, x=b is given by, A=∫abf(x)dx ln(e)=1, ln(1)=0

Q: An equation of a hyperbola is given. 7²-2=1 (a) Find the vertices, foci, and asymptotes of the…

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Q: Use the linear approximation to estimate In (√0.99).

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Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y² = 2x + C.

A: Orthogonal trajectory

Q: (Requires a short but nontrivial geometric argument.). Let ABC be a triangle with angles…

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Q: Evaluate fx² cosh x dx

A: To evaluate the integral.