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Q: The domain of the function k(x)=x+4/x-6 is all real numbers expect for ;

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Q: Find the general solution of each of the following differential equation: please see attached pictur...

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Q: Need help solving the problem

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Q: Suppose z = x² sin y, x = -s² – 21² , y = 8st. dz A. Use the chain rule to find and * as functions o...

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Q: Partial derivatives Find the first partial derivatives of the following functions. ƒ(x, y) = xyexy

A: Given: fx, y=xyexy To determine: The first order partial derivatives of the given function.

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given information: fx=-x33+x22+2x

Q: If f(x) = /6x + 9, find ƒ'(x).

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Q: Express the solution using interval notation and graph: 5/x +2 > 3

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Q: 6. On [0, 27) solve equation 2 cos x cos 2x - 2 sin x sin 2x = 1

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Q: I need help with this question to solving steps

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Q: Use y = (x2 - 2x)² and its derivative Y = 4x(x – 1)(x – 2) to find each of the following. dx Find th...

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Q: Find the integral. answer BY HAND please, no shortcuts

A: Given integral, ∫32x2-3x dx

Q: 10) At t = 55 seconds, an object moving along a straight path is 47 meters from its origin. If the v...

A: Given that, at t=55, covered part= s(t)= 47 meters. So the point is (55,47) For velocity at the time...

Q: 7) Use a tangent line approximation with the function g(x)= Jx to estimate V9.2

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Q: 14.3 4

A: To Determine: use polar coordinates to set up and evaluate the double integral ∫R∫f(x, y)dA where f(...

Q: 4.2 Find ∫−4x2(4x3−1)7 dx. Do not include the constant "+C" in your answer. For example, if you foun...

A: To Determine: Find ∫-4x24x3-17dx. Given: we have an integral Explanation: we have an integral ∫-4x2...

Q: Find a cofunction with the same value as the given expression cos 3π/8

A: The given expression cos 3π/8 Known fact: cosθ=sin90-θ

Q: Calculus Question

A: Given that: The height of the water H in feet at a boat dock t hours after 6 A.M is given by H = 11...

Q: State Rolle’s Theorem.

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Q: Eliminate the arbitrary constants of y=[Ce^(10x)] + [Be^(-9x)] + [De^(8x)] Where C, B and D are the...

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Q: Given f(x)=(x+1)ex find the equation of the line tangent at x=0 . Where does the tangent line inter...

A: Given: f(x)=(x+1)ex To determine: The equation of the line tangent at x=0. The point at which the ta...

Q: Geometric sums Evaluate the geometric sums (0.2)* and k=0 E(0.2)*. k=2

A: Given: S1=∑k=090.2k, S2=∑k=290.2k we know that sum of geometric progression is given by S=a1-rn1-r w...

Q: Using a row of shrubs as one side and fencing for the other three sides, a rectangular patio will be...

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Q: Spinners World is fitness equipment company that manufactures spin bikes.The market research departm...

A: The demand equation is x=35000-50p where x is the demand at p dollars per bike. (a) The demand equat...

Q: Find the real part, the imaginary part, and the absolute value of23. cosh(ix) 24. cos(ix) 25. sin(x ...

A: To find:Real part , Imaginary part a) cosh(ix)=12eix+e-ix=eix2+e-ix2but eix=cosx+i sinx a...

Q: Give the domain and the range of the quadratic function whose graph is: The vertex is (-3, -4) and t...

A: Domain: The set of values of x for which function is defined or exist. ---------------------------...

Q: Consider f(x) = xlnx on the interval [1,6]. When will the first derivative equal zero? For each crit...

A: Given that: f(x) = xlnx x∈[1,6] To find: When will the first derivative equal to zero. And for ea...

Q: Missing piece Let g1x2= x2 + 3. Find a function ƒ that produces the given composition. 1g ∘ ƒ21x2= ...

A: We have, gx=x2+3 ⋯⋯1 And g∘fx=x4+3 From the definition of composite function, g∘f is def...

Q: Consider a particle traveling clockwise on the elliptical path x2/ 100 ...

A: Given: x2100+y225=1 or x2102+y252=1 Leaving point of the particle from the orbit (−8,3)

Q: find the general solution of the given equation. y" - 64y = 0

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Use the graph to determine the equations of the vertical asymptote. List the -values separated by co...

A: Vertical asymptotes: They occur at those x values where y values approaches to infinity or - infinit...

Q: DIRECTION: Solve the following problems. Apply the different rules and formulas for differentiation ...

A: g) We will use the power rule and the chain rule f(x)=tan2(x2)f'(x)=2tan(x2)ddxtan(x2)f'(x)=2tan(x2)...

Q: An open-top bin is to be made from a 32-inch by 42-inch piece of plastic by removing a square from e...

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Q: Matt paid $119.50 interest on a loan at 4% simple interest for 2.5 years. How much did he borrow?$

A: Given:Interest=I=$119.50Rate of interest=r=4%=0.04Time=t=2.5 yearsTo find:The principal a...

Q: Use the vertex and intercepts to sketch the graph of the quadratic function f(x) = 4 - (x - 1)2. Giv...

A: Vertex form of a quadratic function: y=a(x-h)2+k ...(1) where (h, k) is the vertex of a ...