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Q: 2人+人 2X PM the From Pi (x,,y,z,) to Pz (xz, Yz, Zz Prove that the Midpoint of the line Ssegment 12 w...

A: Let the 2 points in the line segment be,

Q: Use the definitions of cosh x and sinh x to show that cosh2 x - sinh2x = 1.

A: To show that cosh2x - sinh2x =1.

Q: In the function: f(x)= (4x^2)/((x^2)+4) When is the function in concave up and concave down using ...

A: Given:

Q: What is the age of a sample of charcoal in which 90% of the carbon-14 originally present has decayed...

A: Consider half-life for charcoal sample.

Q: y′ = − y(3 − ty)

A: Given that

Q: A force of 2 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke’s Law applies, how far ...

A: Given:

Q: Suppose that in any given year the number of cases can be reduced by 25% instead of 20%. a. How long...

A: Hey the given problem is solved by considering the initial number of cases to be 10000.

Q: Physicists using the ra-dioactivity equation y = y0 e-kt call the number 1/k the mean life of a radi...

A: Given:A radioactivity equation y = y0 e-kt …(1)The mean life of a radioactive nucleus = 1/k

Q: uxx+uyy=0; u1(x,y)=cos x cosh y, u2(x,y)=ln(x2+y2)

A: Given:

Q: a. Find the centroid of the region in the first quadrant bounded by two concentric circles and the c...

A: Given information:

Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with...

A: Find the function by substituting the given arguments.

Q: Consider the following two equations. уд Find the values of x for which f(x) = g(x). a.

A: From the given graph of f and g

Q: In Exercises 1–4, use finite approximations to estimate the area under the graph of the function usi...

A: As one question contains 2 subparts, so I am going to solve only question number 1 and for the rest ...

Q: y″ + y′ − 6y = 0

A: given:

Q: Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200...

A: Consider Q(t) be the amount of dye present in the tank at any time t.Given that initial the tank con...

Q: Find the lengths of the curves in Exercises 1–3. If you have graphing software, you may want to grap...

A: Length ‘L’ of the curve denoted by ‘y’ from x=a to x=b is given by the formula as.

Q: Find the areas of the regions enclosed by the lines and curves 1. y = 7 - 2x2 and y = x2 + 4 2.y =...

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question...

Q: In the function: f(x)=(12−3x)e^x What are the critical numbers of the function? When is the funct...

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Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: Factor the polynomial and use the factored form to find the zeros. Then sketch the graph. (If a zero...

A: Given:

Q: The force of attraction on an object below Earth’s surface is directly proportional to its distance ...

A: Click to see the answer

Q: Given that cos θ = − 3/5 and that θ is in QIII, find the exact values of sin θ, tan θ, csc θ, sec θ,...

A: As cos θ = (Base) / (Hypotenuse) = -3 /5. Cos θ is negative in quadrant III. Find the perpendicular ...

Q: The viewing portion of the rectangular glass window in a typical fish tank at the New England Aquari...

A: Consider the given statement of the question,Since, the force on the window is proportional to the d...

Q: Find the area of the region between the curve y = 3 - x2 and the line y = -1 by integrating with res...

A: First of all, find the intersecting points for both the curve.Put y = -1 in first equation and solve...

Q: A right-circular conical tank, point down, with top radius 5 ft and height 10 ft is filled with a li...

A: Given A right-circular conical tank, point down, with top radius 5 ft and height 10 ft is filled wit...

Q: Suppose that a company’s marginal revenue from the manufacture and sale of eggbeaters is dr/ dx = 2 ...

A: To determine the expected revenue from a production run.

Q: In the function: f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation. What...

A: Denominator of the function can not be equal to 0.

Q: The region bounded below by the parabola y = x2 and above by the line y = 4 is to be partitioned int...

A: Given,The region bounded below by the parabola y = x2 and above by the line y = 4 is to be partition...

Q: Solve the initial value problem y′=2y2+xy2,y(0)=1

A: Given,

Q: Consider the initial value problem y′+12y=2 cos t,y(0)=−1. Find the coordinates of the first local m...

A: Given:

Q: How do you calculate the force exerted by a liquid against a por-tion of a flat vertical wall? Give ...

A: Given:How do you calculate the force exerted by a liquid against a portion of a flat vertical wall? ...

Q: In some chemical reactions, the rate at which the amount of a substance changes with time is proport...

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Q: find the volume . The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pa...

A: Given: The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pai/4. The cr...

Q: In Exercises 13–18, solve for y. 13. 3^y = 2^(y+1) 14. 9e^2y = x^2 15. ln ( y - 1) = x + ln y 16. 4^...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the volume of the solid formed by revolving the re-gion bounded by the graphs of y = sin x + se...

A: The given graph of the functions are

Q: How do you simplify cosx/sinx + sinx/cosx and cotx - csc2x/cotx

A: Part (1):Simplify:

Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the volt-age...

A: Separate the variables.

Q: A bowl has a shape that can be generated by revolving the graph of y = x2/2 between y = 0 and y = 5 ...

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Q: How do you define and calculate the volumes of solids by the method of slicing? Give an example.

A: How do you define and calculate the volumes of solids by the method of slicing

Q: Two ladders of length a lean agains opposite walls of an alley with their feet touching. One ladder ...

A: The problem can be depicted as shown below,

Q: Find the area of the region between the curve y = 21-x and the interval -1<= x<= 1 of the x-ax...

A: Given:y = 21-x and the interval -1<= x<= 1 of the x-axis.

Q: Show that ϕ(t) = e2t is a solution of y′ − 2y = 0 and that y = cϕ(t) is also a solution of this equa...

A: Proof: part (a). Given

Q: Suppose that a sum S0 is invested at an annual rate of return r compounded continuously. a.Find the ...

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Q: You are looking for an item in an ordered list 450,000 items long (the length of Webster’s Third New...

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Q: Discuss how the processes of integration and differentiation can be considered as “inverses” of each...

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Q: Math a Quiz Show that the Tollowing eguation represents a state its center cnd Sphere in R 3, cnd ra...

A: Given an equation

Q: Biologists consider a species of animal or plant to be endangered if it is expected to become extinc...

A: Click to see the answer

Q: What is the average value of an integrable function over a closed interval? Must the function assume...

A: To determine the average value of an integrable function over a closed interval.

Q: Find the volume of the solid generated by revolving the region bounded by the x-axis, the curve y = ...

A: Hi, thank you for the question. There are multiple question in the request. And the solution of each...

Q: Match each sequence below to statement that BEST fits it. STATEMENTS Z. The sequence converges to ze...

A: First of all, consider the method to find weather the infinite series is diverging or converging.