The height of an object tossed upward with an initial velocity of 80 feet per second is given by the formula h = - 16t² + 80t, where h is the height in feet and t is the time in seconds. Find the time required for the object to return to its point of departure.

Q: Solve the Differential Equations. 4. f(x,y) x² + 3xy x-2y

A: Let's find function homogeneity.

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: Solve (xy + 4a²y)dy = √(xy-5a³ + ax - 5a²y)dx

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Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

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Q: 3. g(u) = √u+√4=u

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Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: 5-5 TIME TO REACH A FINANCIAL GOAL. You have $33,566.25 in a brokerage account, and you plan to…

A: Let's find time to reach goal.

Q: Solve the differential equation. y' + 2xy = 23x A There is no correct answer from among the given…

A: To solve the differential equation. y'+2xy=23x

Q: Toflow (2) y = √sinh √tan x

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Q: Find the Differential Equation to the given Solution x sin y - xy² = c

A: To find the differential equation corresponding to given function.

Q: Evaluate the following definite integral. 6 Ste¹(-i-j+k)dt 0 Select the correct choice below and…

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Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

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Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: B. Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer…

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Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: 17 Unamughs gniwollet and not yhley to toong ito! Prove that N! > 2N for N a positive integer…

A: Please see the below picture for detailed solution.

Q: Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H…

A: We have to find the relationship between area of 4 part of quadrilateral.

Q: Expand with binomial formula (a-x)5

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Q: A. by extracting square roots. 1. x2 = 169 4. (x - 2)² = 16

A: Answer (4) We have to solve by extracting square roots (x - 2)2  = 16

Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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Q: Find the percent of increase or decrease to the nearest whole percent.  $8.00; $10.00

A: Percent of increase of a value= (new value - old value)*100/old value

Q: 2. f(t)=√t+ √VE

A: Domain of a function is defined as the set of values of input variable for which the function is…

Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

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Q: Find the differential equations for each family of curves under the following conditions: c)…

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Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

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Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

Q: Find the general solution of y'= sin²xcosy.

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Q: Find the solution to the given Differential Equation y dx + (2x-y) dy = 0

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Q: 1. h(x) = √4x²

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Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity…

A: Differential equation

Q: 2. Set up the integral to find the value of the area bounded by the graphs. You do not need to…

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Q: Solve the differential equation 4. xdx e-x + (Y+) dy y³

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Q: List the x values of the discontinuities of the function: 4 1+ e4/r y = X =

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Q: Q1.In the triangle ABC, where m4(BAC)=2,AF=12, EB=14, where E, F are points between A,B and A,C…

A: It is given that: In the triangle ABC, m∠BAC=2, AF=12, EB=14, FE¯∥CB¯ Where E, F are points between…

Q: Solve the differential equations 1. (3x²2y²)y' = 2xy 2. (y² - xy)dx + x²dy = 0

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Q: [x + y) dy = (x - y) dx x²

A: We need to solve D.E.

Q: 1. fx² sec x³ tan x³ dx

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Q: 3. 3.) (гуч 7 3ху - 2ytox) art (хочу -) бусо

A: See the details solution in below

Q: Find the following limits. √x-3 X-9 x-9 1. lim t²-7t+10 2. lim- t-2 t-2 3. A function f(x) satisfies…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Q15) The Parallel Postulate of Euclid is equivalent to: A) The Plane separation postulate B) Pasch's…

A: Solution

Q: Question Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is…

A: Here we have to find the volume of a region when revolved about y axis.

Q: Solve the differential equation by separation of variables: (x²+4) dy + x²y²dx=0 Ⓒ 1 y There is no…

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Q: 4. 2y2 +8y - 10= 0

A: Given problem:- 4.   2y2+8y-10=0

Q: 3. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

A:

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: I have stated the used method in the brackets