The path of cannonball is given by y(t) =-16t +160t

Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0 ...

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: varies directly as the square of x and inversely as y. (z = 36 when x = 9 and y = 3.) 4x2 Зу 3x2 z =...

A: Topic = Algebra

Q: 4 2 S[(x) dy dz 0 0

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Q: SDT. Let f(x) = 2x- 39x + 240x + 96. Classify the critical point x = 5 of f(x) using the Second Deri...

A: topic - application of derivatives

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A: topic - differential equations

Q: S Inx dx

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Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 b. f(x) = e-*(x...

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Q: By considering different paths of approach, show that the function below has no limit as (x.y)→(0,0)...

A: We have to find set of curve and final conclusion based on above question. 

Q: S cos(3z)sin1º(3z) dz A 1 (sin(3z))10 + C 3 C 1 (cos (3z))10 + C 3 -- 1 D 1 (cos (3z))'1 + C 33 (sin...

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Q: FDT. Given a function f(x) defined in a neighborhood of a critical point x = c, the first derivative...

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Q: Given the curve p(x)=x2+8, find the point on p(x) is closest to the point (3,8). Enter your answer a...

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Q: Find a function y(x) such that 8yy' = x and y(8) = 5. y = ||

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Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If = increase in 1...

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: Verify that f and g are inverse functions algebraically and graphically. X - 1 f(x) = 8x + 1, g(x) =...

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Q: For what value of m is the value x=-1 a zero of the function f(x)=2x^3+mx^2−2x−1. Please show work!

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. c...

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Q: in Exercises 21-26, a function h(x) is defined in terms of a differen- 21. Mx) (x) 23. h(x) = -(-x) ...

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Q: Öz Use implicit differentiation to find and 3yz? – x In(yz) = z. dx dy

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Q: Given the curve h(x)=x2−7, find the point on h(x) is closest to the point (57,−7). Enter your answer...

A: topic -curve and distance from a point

Q: Given the vectors M and N , find a) unit vector in the direction %3D of -M + 2N: b) magnitude of sî...

A: Given the vectors M→=-10, 4, -8 and N→=8, 7, -2, to find a unit vector in the direction of -M→+2N→b ...

Q: the derivatives of the following

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Q: ,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

A: Solution is written in below steps.

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If...

A: a limx→∞ 16x2+5/7x-5 divide above and below by x limx→∞ 16 + 5/x2/(7 -5/x) now apply the limits 16 /...

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the regi...

A: Answer: The solution is as given below;

Q: Select the graph of f and f' on the same set of coordinate axes. Ax) = 2x – 3 %3D

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Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Note that, the vertex of the parabola is at (4, 2) and the axis of the parabola is vertical. So, the...

Q: 19) y= 2) y= [(3a?+22) (x -2)]

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Q: Dad spent 4/5 of his money on gas for his car and ½ of the remainder on sandwiches. He spent Php 9.0...

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Q: *The Chain Rule of Differentiation A. Directions. Decompose the follawing functions and complete the...

A: 1)  y=(4x-7)3Solution: u = g(x)u  = (4x-7)_______________y = f(u)y= u3

Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: Consider the following function. 5 f(x) = (a) Find the inverse function of f. f-1(x) =

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Q: y= (z + 1)2 (교2 + 2x)

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Q: Find real-valued closed formulas for the trajectory x(t + 1) = Ax(t), where [-0.8 A = -0.6 -0.8] 0.6...

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Q: The distance (in km) of an airplane departing from Toronto Pearson Airport t seconds into flight is ...

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Q: y (2xy +1) = xy)

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Q: The Value of the Variablex that ful fills the la Fo llowing eauation %3D

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Q: At what points (x.y.z) in space are the functions continuous? a. h(x.y.z) = In (4z - 3x-y? - 4) 1 b....

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Q: Given that f(x) = x3 - 3x + 1 and g(t) = 2t - 3 Determine the following values: 2.f(g(-2)) 1.g(a+...

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Q: Find the derivative of the function. 4.r y = +3 y'(x)

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Q: A sales team estimates that the number of hew phones it will sell is a function of the orice that it...

A: Follow the procedure given below.

Q: Logarithms. Use the laws of logarithms to expand and simplify the following expression in(2x*) 2x In...

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Q: ) Express the volume of the solid under the plane 5x - 2y + z = 4 and above the region bounded by x ...

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated inte...

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does ...

Q: At 9:00am a thermometer reading 70° F is taken outdoors where the temperature is 15°F.At 9:05am, the...

A: Newton's law of cooling is;dTdt=-k(T-Ta)dT(T-Ta)=-k dt(T-Ta)=C e-ktT=Ta + C e-kt

Q: Differentiate the following

A: Given y=x-1x+1 To differentiate given equation.

Q: Determine whether the series converges. k Σ In(k + 3) k=1 O The series diverges. O The series conver...

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If a...

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Q: Let P=(- 2, - 1,3). The find distance from the point P to the plane x+ 2y + 2z = 10. The distance = ...

A: solution:-plain: x+2y+2z=10point: (-2, -1, 3)formula for foot of perpendicular on the plain from poi...